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ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and , these texts make independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications

John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch

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Visit www.webassign.net to sign up for your free faculty account today. Notices of the American Mathematical Society January 2010

Communications 24

50 WHAT IS…an Oka ? Finnur Lárusson

56 Kalman Receives National Medal of Science Allyn Jackson

Commentary 30 10

5 Opinion: and the Tower of Babel The theme of this issue of the Notices of the American John Wermer Mathematical Society is “Mathematics and the Arts”. Even in 7 Letters to the Editor the time of the ancient Greeks it was generally recognized that mathematics and art are inextricably intertwined. 53 Tools of American The symbiosis has continued through the ages. Today, Mathematics Teaching, with and many new artistic media, this 1800–2000—A Book Review Reviewed by Andrew G. interplay has taken startling and enlightening new forms. Bennett We have selected here four articles to showcase different aspects of mathematics and art. We hope that this collec- tion will lead to stimulating discussions and perhaps future contributions to the Notices of the AMS. —Steven G. Krantz Editor Features 8 The Art of Mathematics 10 The Life and Survival of Mathematical Ideas Michael F. Barnsley 24 Envisioning the Invisible Tim Chartier 30 Music: Broken Symmetry, Geometry, and Complexity Gary W. Don, Karyn K. Muir, Gordon B. Volk, and James S. Walker

Notices Departments of the American Mathematical Society About the Cover ...... 57

EDITOR: Steven G. Krantz Mathematics People ...... 58 ASSOCIATE EDITORS: Mahadevan Receives MacArthur Fellowship, Bringmann Awarded 2009 Krishnaswami Alladi, David Bailey, , SASTRA Ramanujan Prize, Lytchak Awarded von Kaven Prize, NSF Susanne C. Brenner, Bill Casselman (Graphics Editor), Robert J. Daverman, Susan Friedlander, Robion Kirby, Postdoctoral Fellowships Awarded. Rafe Mazzeo, Harold Parks, Lisette de Pillis, , Mark Saul, Edward Spitznagel, John Swallow Mathematics Opportunities ...... 61 SENIOR WRITER and DEPUTY EDITOR: Proposal Due Dates at the DMS, NDSEG Fellowships, National Allyn Jackson Academies Research Associateship Programs, AMS-AAAS Mass MANAGING EDITOR: Sandra Frost Media Summer Fellowship, AWM Essay Contest, Departments Again CONTRIBUTING WRITER: Elaine Kehoe Coordinate Job Offer Deadlines, News from the Fields Institute, PIMS CONTRIBUTING EDITOR: Randi D. Ruden IGTC Fellowship for 2010–2011. EDITORIAL ASSISTANT: David M. Collins Inside the AMS ...... 64 PRODUCTION ASSISTANT: Muriel Toupin PRODUCTION: Kyle Antonevich, Teresa Levy, Trjitzinsky Memorial Awards Presented, Erdo˝s Memorial Lecture, From Stephen Moye, Erin Murphy, Lori Nero, Karen the AMS Public Awareness Office, Deaths of AMS Members. Ouellette, Donna Salter, Deborah Smith, Peter Sykes, Jennifer Wright-Sharp, Patricia Zinni Reference and Book List ...... 67 ADVERTISING SALES: Anne Newcomb SUBSCRIPTION INFORMATION: Subscription prices Mathematics Calendar ...... 72 for Volume 57 (2010) are US$488 list; US$390 insti- tutional member; US$293 individual member. (The New Publications Offered by the AMS ...... 77 subscription price for members is included in the annual dues.) A late charge of 10% of the subscrip- Classified Advertisements ...... 85 tion price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Add for postage: Surface delivery outside the United 2010 AAAS Meeting in San Diego ...... 89 States and India—US$27; in India—US$40; expedited delivery to destinations in North America—US$35; Call for Organizers: 2011 MRC Conferences ...... 90 elsewhere—US$120. Subscriptions and orders for AMS publications should be addressed to the American Mathematical Society, P.O. Box 845904, , MA General Information Regarding Meetings & Conferences 02284-5904 USA. All orders must be prepaid. of the AMS ...... 92 ADVERTISING: Notices publishes situations wanted and classified advertising, and display advertising for Meetings and Conferences of the AMS ...... 93 publishers and academic or scientific organizations. Advertising material or questions may be sent to Presenters of Papers, San Francisco Meeting ...... 106 [email protected] (classified ads) or notices-ads@ ams.org (display ads). Program of the Sessions, San Francisco Meeting ...... 114 SUBMISSIONS: Articles and letters may be sent to the editor by email at [email protected], by fax at 314-935-6839, or by postal mail at Department Meetings and Conferences of Contents ...... 199 of Mathematics, Washington University in St. Louis, Campus Box 1146, One Brookings Drive, St. Louis, MO 63130. Email is preferred. Correspondence with the managing editor may be sent to [email protected]. For more information, see the section “Reference and Book List”. NOTICES ON THE AMS WEBSITE: Supported by the AMS membership, most of this publication is freely available electronically through the AMS website, the Society’s resource for delivering electronic prod- ucts and services. Use the URL http://www.ams. org/notices/ to access the Notices on the website. [Notices of the American Mathematical Society (ISSN 0002- 9920) is published monthly except bimonthly in June/July by the American Mathematical Society at 201 Charles Street, Providence, RI 02904-2294 USA, GST No. 12189 2046 RT****. Periodicals postage paid at Providence, RI, and additional mailing offices. POSTMASTER: Send address change notices to Notices of the American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248 USA.] Publication here of the Society’s street address and the other information in brackets above is a technical requirement of the U.S. Postal Service. Tel: 401-455-4000, email: [email protected]. I thank Randi D. Ruden for her splendid editorial work, and for © Copyright 2010 by the American Mathematical Society. helping to get this issue assembled. She is essential to everything that All rights reserved. I do. I thank Marie Taris for editorial contributions. Printed in the of America. The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. —Steven G. Krantz Opinions expressed in signed Notices articles are those of the authors and do not necessarily reflect opinions of the Editor editors or policies of the American Mathematical Society. Opinion

Mathematicians and the Tower of Babel It comes down to the fact that there are both a trans- Mathematics has been flourishing for the last fifty years; mitter (the speaker) and a receiver (the listener), and the classical problems have been solved, many areas have former can send much more information than the latter made major progress, and mathematics and physics have can absorb. rediscovered each other, through the efforts of Atiyah, Here are some things that might improve the situation: Singer, Witten, Seiberg, and many others. more colloquia should inform people outside the field about interesting developments in the field. I remember At the same time the mathematical community is some excellent talks on the proof of Fermat's Last Theo- becoming increasingly fragmented. Looking at the titles rem which concentrated on explaining main elements in on the covers of mathematical journals, or at the topics the argument and similar successful talks given about of lectures at conferences and colloquia, it seems that the Seiberg-Witten theory. You may say: “But a speaker mathematics has broken into dozens of separate fields. traveling to another institution wants to give details of Participation at specialty seminars is growing and atten- exciting recent developments, especially by him- or herself dance at departmental colloquia is dwindling. We are in or coworkers.” Of course! But this should be done before danger of becoming residents of a Tower of Babel. and after the colloquium, in the form of a conversation This is paradoxical because, to any mathematician who with interested parties. is watching, it is clear that the different branches of math- Also, some schools have programs where speakers are ematics—analysis, algebra, geometry, topology, etc.— are invited for several days, which facilitates the above. In enormously intertwined. Some of the most striking new a similar spirit, a mathematician writing an expository results occurred at the interface between different areas. article on a subject needs to concentrate on the central Leray's sheaves, beginning as a tool in topology, in the issues, and not overwhelm the with details. Refer- hands of H. Cartan and J. P. Serre revolutionized the study ences at the of the paper can lead the interested reader of complex manifolds and had a similar effect on algebraic to continue his or her pursuit of the subject. As well, the geometry. Within analysis, a 1949 paper of Arne Beurling writer or lecturer needs to remember that terminology brought together Hardy space theory in the disk and the current in his or her field for the last ten years (and in study of operators on Hilbert space, having a profound his or her mind part of the English language) may be only effect on that subject. Other examples abound. fuzzily, or not at all, familiar to the reader or listener. The departmental colloquium used to be an occasion The problems discussed above have been widely known where individual specialists enlightened their colleagues in for many years. It is high time that we tackled them. other fields about what was happening in their area. Most of the department members came to listen. As a graduate student at Harvard, I regularly attended colloquia. Despite —John Wermer being pretty ignorant, I got a lot out of the talks. I par- emeritus ticularly remember, from the late 1940s, a colloquium by Mathematics Department on almost complex structures on manifolds. Brown University I did not know what a was, nor know [email protected] any serious topology, but somehow he managed to explain things, and I found it very interesting. The same happy situation continued for me at Yale, where I was an instruc- tor for some years, and then at Brown for many years. What has happened? I once heard about a seminar given by Grothendieck, which was described as “A telegram by Grothendieck to Serre”. This should not serve as a model for our colloquium speakers. A person giving a colloquium should have a realistic image of the audience in front of him or her. He or she should not generalize from the fact that two people in the front row are asking penetrating questions. This enlivens the lecture, but is misleading about the state of knowledge of the rest of the audience. The innocent (nonexpert) listener at a mathematics lecture wants certain things: he or she would like an idea of the background of the problem, some of the objectives of the area, to see some simple examples illustrating the problem, and he or she wants to see some of the key steps in the argument. What he or she cannot handle is a massive amount of technical details and so many formulas on the board he or she cannot possibly absorb them.

JANUARY 2010 NOTICES OF THE AMS 5 A m e r i c a n M at h e m at i c a l S o c i e t y

Gauss Euler

Gerling Gudermann Dedekind Fourier

Weierstrass Plücker Dirichlet

Klein Lindemann Story

Hilbert his searchable database includes over 137,000 records of math- ematicians from more than 100 countries, that date back as far Lefschetz Tas 1363. Entries include the degree recipient, university, name of advisor (linked to a list of his/her other students), dissertation title, year in which the degree was awarded, list of the degree recipient’s students (if any), and the MSC code of the .

Submit additions and corrections on the website at www.genealogy.ams.org ➥ See a demonstration of the website and submit information The Mathematics Genealogy Project is a at the AMS booth during the Joint service of North Dakota State University Mathematics Meetings. and the American Mathematical Society. Letters to the Editor

Hoisting the Black Flag http://www.scribd.com/doc/ issues that arise in patent law. No- It is notoriously difficult to publish 19819297/How-to-Publish- tably, however, mathematics is ex- negative results in other sciences, Counterexamples-in-1-2-3-Easy- plicitly excluded as a subject for but the Queen of the Sciences is sup- Steps. this purpose. I was a bit skeptical posed to be different. Three years It is our duty, as rank-and-file until I downloaded the “General Re- ago, in December 2006, the Notices AMS members, to help guide our quirements Bulletin for Admission published an article containing theo- Society’s editors. Our legacy is the to the Examination for Registration rems and mathematical claims for scientific culture we leave to the to Practice in Patent Cases Before the which I found a dozen counterexam- next generation. To paraphrase the United States Patent and Trademark ples. The Notices, however, refused inimitable words of H. L. Mencken, Office” to see for myself. It lists 32 to publish my counterexamples even “Every normal mathematician must subjects in which bachelor’s degrees exhibit adequate proof of the neces- after I condensed them and their own be tempted at times to spit on his hands, hoist the black flag, and begin sary scientific and technical training, referee verified them. The editorial slitting throats.” as well as 2 1/2 pages of acceptable solution was a “correction” that not alternates. Then it states the “Typical only omitted many of the flaws I had —Theodore P. Hill Non-Acceptable Course Work: The found but also introduced a new Georgia Tech typify courses that are not mathematical error into the perma- accepted as demonstrating the neces- nent record, in spite of an additional (Received September 24, 2009) sary scientific and technical training:” counterexample I had provided them and in the middle of this paragraph, to the new claim. The same errors Patents and Mathematics there appears: “…machine operation that appeared in the 2006 Notices I am writing to encourage a discus- (wiring, soldering, etc.), courses taken article continue to be propagated in sion of whether the AMS should lobby on a pass/fail basis, correspondence the literature, including published re- the U.S. Patent and Trademark Office courses, …home or personal inde- search articles and a new book. More to remove their insulting and coun- pendent study courses, high school than two years later, I am still trying terproductive exclusion of mathemat- level courses, mathematics courses, to publish the counterexamples and ics as evidence of the scientific and one day conferences, …” will continue to do so. technical qualifications required for a In case you cannot believe where In the meantime, however, I have lawyer to practice law before USPTO. the USPTO places mathematics any three suggested improvements to the In recent years I have been in- more than I could, links to this editorial process of the Notices: volved as an inventor in patents for and related documents are pro- (1) When AMS editors become molecular diagnostics—one for de- vided at http://www.math.utah. aware of serious mathematical er- tecting and identifying mutations edu/~palais/usptovsmath.html. rors in a widely publicized paper using high-resolution DNA melting Ironically, USPTO requires math- they published, they should not only and another for identifying genes ematics coursework for prospective correct the record completely in their that can be useful for cancer diagnos- examiners in the computer arts (em- own journal, but should also notify tics and therapies. ployees) that it doesn’t recognize as the relevant media sources and ask In the process I have discovered qualifying for practitioners. for public corrections or retractions that there are very few patent attor- This is not a debate regarding the (e.g., AMS News Release, Scientific neys with even a minimal mathemati- appropriateness of patenting math- American, Discovery Channel, and cal training, not to mention the level ematics. There have been many such Mathworld, as in the above case); required to understand the math in- conversations elsewhere. But in these (2) AMS editors should not pass volved in so much of modern science times that mathematics is becom- judgment on papers or letters that and technology. It was only recently ing increasingly visible in valuable refute articles published under their when, in a very pleasant change of patents (e.g., Google’s Page Rank, a own watch; circumstances, I was referred to and linear algebra algorithm, was licensed (3) When editors announce a policy worked with Thomas M. Bonacci, by Stanford for US$336 million) it that appears to conflict with basic a patent attorney who had studied seems that the USPTO should be established AMS standards and ethics mathematics as an undergraduate encouraging, not discouraging, the (e.g., that exposition overrides math- and graduate student, that I learned mathematical fluency of the lawyers ematical correctness), they should why. whose work it recognizes. first consult the associate editors and He told me that an applicant to AMS officers. practice before USPTO must dem- —Bob Palais To appreciate the events that mo- onstrate, in accordance with the Math Dept., Pathology Dept. tivated this letter, see the diary “How USPTO’s requirements, that he or University of Utah to Publish Counterexamples in 1 2 3 she possesses scientific and techni- Easy Steps”, cal proficiency sufficient to address (Received September 24, 2009)

JANUARY 2010 NOTICES OF THE AMS 7 The Art of Mathematics Michael Atiyah

n the traditional dichotomy between Art and art, but to the general public it is a black art, more Science, mathematics sits warily between the akin to magic and mystery. This presents a con- two. said that, in his math- stant challenge to the mathematical community: ematical work, he always strived after beauty to explain how art fits into our subject and what Iand truth, and we might regard these as being we mean by beauty. the contrasting characteristics of Art and Science. In attempting to bridge this divide I have always Mathematicians try to understand the physical found that architecture is the best of the arts to world, to unearth the secrets of nature, to search compare with mathematics. The analogy between for truth. They do this by creating intellectual edi- the two subjects is not hard to describe and en- fices of great subtlety and beauty, guided by their ables abstract ideas to be exemplified by bricks aesthetic judgement. Seen this way, mathematics and mortar, in the spirit of the Poincaré quotation links Art and Science in one great enterprise, the I used earlier. attempt to make of the universe. In architecture one finds a variety of We mathematicians can appreciate this grand (from churches to railway stations), a variety of philosophical unification, but to the layman, materials (from bricks to glass), and beauty at all unversed in our secrets, Science and Art seem levels (from fine detail to great vision). A math- diametrically opposed. Science deals with the ematical theory exhibits similar variety except hard facts of existence while the Arts exist only that the technology is now intellectual rather than in the human mind; “beauty lies in the eye of the physical and the beauty is a more difficult taste beholder.” Science is objective, Art is subjective, to acquire. the two dwell in parallel planes and never meet. Fortunately there are many detailed ways in This naïve distinction fails to grasp the nature which art and beauty appear in mathematics, and of science. Poincaré said that science is no more some of these can be appreciated by the general a collection of facts than a house is a collection public. The articles that follow will illustrate this of bricks. The facts have to be ordered or struc- by many specific examples drawn from differ- tured, they have to fit a theory, a construct (often ent areas and show different facets of beauty in mathematical) in the human mind. The choice of mathematics. a theory is a human choice; we prefer the theory Perhaps I can end by reproducing the only which appeals to us best, the simplest or most poetic passage I have ever written. It is entitled beautiful. We employ Occam’s razor, which tells “Dreams” and appears in “The Unravelers”,1 a book us to make the least assumptions. The success of produced by the IHES. science seems to indicate that the beauty which In the broad light of day mathemati- we search for in mathematical theories cians check their equations and their does capture aspects of truth, that the universe is proofs, leaving no stone unturned in indeed built on principles which harmonize with their search for rigour. But, at night, the human mind, that in the words of Keats: “Truth under the full moon, they dream, they is beauty, beauty truth—that is all ye know on earth float among the stars and wonder at and all ye need to know.” the miracle of the heavens. They are While poets have the insight to reach such an inspired. Without dreams there is no understanding, there are few who can see how to art, no mathematics, no life. reconcile truth and beauty. Mathematics may be

Sir Michael Atiyah is Honorary Professor of Mathemat- ics at the University of . His email address is 1 The French original “Les Déchiffreurs” had a French [email protected]. version which some may prefer. Published by A. K. Peters.

8 NOTICES OF THE AMS VOLUME 57, NUMBER 1 American Mathematical Society

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AMS members can sign up for the service at www.ams.org/enews The Life and Survival of Mathematical Ideas Michael F. Barnsley

ature and provide the notion live on in the realm of ideas. For the realm of ideas of a creative system: a core stable form belongs to sentient beings such as us: whether (DNA), a fertile environment, a determi- or not there was a Creator, it is certain that the nation to survive, and random stimuli. system of which we are part is, by its very nature, Analogously, the mind of a mathemati- creative. Our genes are creative; they have to be, Ncian provides a locus for creative systems, a place and they have to allow creative mutations. They where mathematical structures live and evolve. must be stable in their creativity. Their creativity According to the King James version of Genesis, is the wellspring of ours. Not only must our genes, “On the Fifth day …God created great whales.” But through the mechanisms of and random Darwin went one better; at the end of his master- mutation, invent new viable forms, but they must work, in simple beautiful language, he proposes also be prone to do so. that what was created was a creative system. The Our mathematical creativity may actually be last paragraph of Origin of Species says: initiated by random events at the deepest level, af- It is interesting to contemplate a tangled ter deductive reasoning, consistencies, experience, bank, clothed with many plants of many and even intuition, are factored out of the process. kinds, with singing on the bushes, with But the creative mind contains something much various insects flitting about, and with worms more important than a random idea generator; it crawling through the damp earth, and to provides an environment in which the wild seed reflect that these elaborately constructed forms, so different from each other, and of a new idea is given a chance to survive. It is dependent upon each other in so complex a fertile place. It has its refugias and extinctions. a manner, have all been produced by laws In giving credit for creativity we really praise not acting around us. …There is grandeur in this random generation but the determination to give view of life, with its several powers, having life to new forms. been originally breathed by the Creator into But when does a newly thought up mathemat- a few forms or into one; and that, whilst ical concept, C, survive? Obviously, C must be this planet has gone circling on according consistent with mathematics, true, correct, etc. But to the fixed law of gravity, from so simple a I believe that what causes C to survive in the minds beginning endless forms most beautiful and and words of mathematicians is that it is, itself, most wonderful have been, and are being a creative system. For now I will resist trying to evolved. give a precise definition: for this young notion Faced with the extraordinary richness and com- to survive, it needs to be adaptable. Roughly, I plexity of the physical observable universe, of mean that C has the following attributes: (I) C is which we are part, what on earth can a mathemati- able to define diverse forms and structures—call cian truly create? The answer is: a vast landscape them plants; (II) plants possess DNA; (III) C is of lovely constructions, born for the first time, to stable in several ; (IV) C can be treated from diverse mathematical positions (e.g., topological, Michael F. Barnsley is professor of mathematics at the geometrical, measure theoretic, algebraic); (V) C Mathematical Sciences Institute, Australian National Uni- versity. His email address is michael.barnsley@anu. is highly adaptable and can be translated into edu.au. the languages of various branches of science and

10 Notices of the AMS Volume 57, Number 1 Figure 1. Pictures of attractors of affine, bilinear, and projective IFSs. engineering, with real applications; (VI) creative Iterated Function Systems, Their systems beget new creative systems. Attractors, and Their DNA For more than two thousand years the key forms An iterated function system (IFS), of Euclid’s Geometry have survived, shifted in F := (X; f1, . . . , fN ), importance, and evolved. It has all six properties of a creative system; indeed, one could find a number consists of a complete metric space X together with a finite of continuous functions, of different ways of defining it as such. Here is N the one that I like: the diverse forms and struc- {fn : X → X}n=1 . We say that F is a contractive IFS tures are objects such as lines, , and other when all its functions are contractions. A typical constructions; the DNA of these plants consists IFS creative system may consist of all IFSs whose functions belong to a restricted family, such as of formulas, such as “the equation for a straight affine or bilinear transformations acting on R2. ”, provided by Descartes’ ; Let H denote the set of nonempty compact can be treated from geometric, subsets of X. We equip H with the Hausdorff algebraic, and other viewpoints; the topic is stable metric, so that it is a complete metric space. The both in the sense that nearby DNA yields nearby Hausdorff distance between two points in H is forms and in the sense that small changes in the ax- the least radius such that either set, dilated by ioms lead to new viable ; it has adapted this radius, contains the other set. We define a to many branches of science and engineering, with continuous mapping F : H → H by rich applications; and Euclidean geometry begat F (B) = ∪f (B) via the inclusion of the line at n infinity. Alternatively one might describe Euclid’s for all B ∈ H. Note that we use the same symbol F geometry more abstractly so that the theorems for the IFS and for the mapping. ◦k are its diverse structures and the axioms and Let us write F to denote the composition of definitions are its DNA. F with itself k times. Then we say that a set A ⊂ X Dynamical systems [19] and cellular automata is an attractor of the IFS F when A ∈ H and there [35] provide two recent examples of creative sys- is an open neighborhood N of A such that tems. I mention these topics because each has an lim F ◦k(B) = A →∞ obvious visible public aspect, more colorful than k lines and circles drawn on papyrus: their depth for all B ⊂ N with B ∈ H. Since F : H → H is F = and beauty are advertised to a broad audience via continuous, we have (A) A. Notice that our definition of attractor is topological: in the lan- computer graphic representations of some of their guage of dynamical systems, A is a strongly stable flora. They are alive and well, not only in the minds attractive fixed of F. of mathematicians, but also in many applications. Our first theorem provides a sufficient condition In your own mind you give local habitation and for an IFS to possess an attractor, one of the “plants a name to some special parts of mathematics, your of many kinds” of an IFS creative system. creative system. Because this note is a personal essay, I focus on ideas extracted from my own Theorem 1. [18] Let F = (X; f1, . . . , fN ) be a con- experience and research. In particular, I discuss tractive IFS. Then F : H → H is a contraction, and iterated function systems as a creative system, to hence, by Banach’s contraction theorem, F possess- illustrate connections with artistic creativity. To es a unique global attractor. sharpen the presentation I focus almost exclusively Attractors of IFSs are our main examples of the on point-set topology aspects. While the specifics diverse forms and structures of an IFS creative of iterated function systems may not be familiar to system (see Figure 1), as in attribute (I). you, I am sure that the mathematical framework is An affine IFS is one in which the mappings are similar to ones that you know. affine on a Euclidean space. Attractors of affine IFSs

January 2010 Notices of the AMS 11 such as Sierpinski triangles, twin-dragons, Koch codes. See also Berger and Wang [9] and Daubechies curves, Cantor sets, fractal ferns, and so on, are and Lagarias [10]. the bread-and-butter sets of fractal geometers. The Theorem 2. [1] If F = (RM ; f , . . . , f ) is an affine geometries and of these attractors are 1 N IFS, then the following statements are equivalent. so rich, fascinating, and diverse that deep papers are written about a single species, or very small (1) F possesses an attractor. families of them! (2) There is a metric, Lipshitz equivalent to the We define the DNA of an IFS attractor to be an ex- Euclidean metric, with respect to which each f is a plicit formula for the IFS. We refer to the DNA of an n contraction. IFS attractor as an IFS code. The DNA for the canoni- M cal Cantor set is (R; f1(x) = x/3, f2(x) = (x + 2)/3); (3) There is a closed bounded set K ⊂ R , whose these few symbols and their context define a nonde- affine hull is RM , such that F is nonantipodal with numerable set of Lebesque measure zero. Similarly, respect to K. 2 the DNA for the Sierpinski triangle is (R ; f1(x, y) = (x/2, y/2), f (x, y) = (x/2 + 1/2, y/2), f (x, y) = Briefly, let me explain the terminology. We 2 3 · · · · M (x/2, y/2 + 1/2)). Here a curve whose points are say that two metrics d1 ( , ) and d2 ( , ) on R all branch points is captured in a short strand of are Lipshitz equivalent when there is a constant ≥ ≤ ≤ symbols. Other simple IFS codes provide DNA for C 1 such that d1(x, y)/C d2(x, y) Cd1(x, y) ∈ M classical objects, such as arcs of parabolas, line for all x, y R . Given any closed bounded set K in M , whose affine hull is M , and any segments, triangles, and circles. R R u ∈ SM−1, the unit sphere in RM , let {H , H } How do the individual numbers in IFS codes u −u be the unique pair of distinct support hyper- relate to the properties of the attractors that planes of K perpendicular to u; see [27], p. 14. they define? Similarly, we might ask about the Then the set of antipodal pairs of points of K is K0 := relationship between the DNA of a biological plant {a, a0} : a ∈ H ∩ ∂K, a0 ∈ H ∩ ∂K, u ∈ SM−1 and the plant itself, the details of its leaf shapes, u −u where ∂K denotes the boundary of K. We say that the structure of its vascular bundles, and so on. an IFS F is nonantipodal with respect to K when each of its functions takes K into itself but When Does an Affine IFS Possess an no antipodal pair of points of K to an antipodal Attractor? pair of points of K. We denote the latter condition In discussing this seemingly simple question we by F (K0) ∩ K0 = ∅. reveal how IFS theory is subtle and leads into Part of the proof of Theorem 2 relies on the applications, as in attribute (V). We characterize observation that if K ⊂ RM is a convex body (think both geometrically and metrically, per attribute of K as the convex hull of K in (3)), then we can (IV), those affine IFSs that possess attribute (I). M define a metric dK (·, ·) on R , Lipshitz equivalent Intuition incorrectly suggests that the answer to the Euclidean metric, by to our question is: if the magnitudes of all of the  eigenvalues of the linear parts of the maps of the kx − yk dK (x, y) = inf : IFS are less than one, then the affine IFS has an kl − mk attractor. The situation seems to be analogous to  l, m∈K, l − m = α (x − y) , α ∈ R the situation for discrete dynamical systems ([17], Proposition, p. 279), where an affine has an for all x ≠ y, where kx − yk denotes the Euclidean attractive fixed point if and only if the norm of the distance from x to y in RM . One shows that, if linear part is less than one. But the situation is not an affine map fn is nonantipodal with respect to analogous. Consider for example the IFS K, then it is a contraction with respect to dK . In 2 fact d is, up to a constant factor, a Minkowski (R ; f1(x, y) = (2y, −x/3), f2(x, y) = (−y/3, 2x)). K metric [30] associated with the symmetric convex The point O = (0, 0) is an attractive fixed point for body defined by the Minkowski difference K − K. ◦2n ◦2n both f1 and f2, because f1 (x, y) = f2 (x, y) = Theorem 2 provides a means for defining vi- n ◦(2n+1) n (−2/3) (x, y) , f1 (x, y) = (−2/3) f1(x, y), able IFS codes (DNA) and is useful in the design ◦(2n+1) n and f2 (x, y) = (−2/3) f2(x, y) for all points of a two-dimensional affine IFS whose attractor (x, y) in R2. But {O} is not an attractor for the IFS approximates a given target set T ⊂ R2. Typical n n n because (f1 ◦ f2) (x, y) = (4 x, y/9 ) implies that IFS software for this purpose exhibits a con- O is an unstable fixed point. vex window K, containing a picture of T , on a The following theorem contains an answer to digital computer display. A set of affine maps our question and an affine IFS version of the is introduced, thereby defining an IFS F. The converse to Banach’s contraction theorem [13]. For maps are adjusted using interactive pictures of us, most importantly, it provides both a metric and F (K) and F (T ). If we ensure that F (K) ⊂ K a geometrical characterization of viable affine IFS and F (K0) ∩ K0 = ∅, then F possesses a unique

12 Notices of the AMS Volume 57, Number 1 Figure 2. The left-hand panel shows a black fern image within a grimy window; overlayed upon it are four affine transformations of the window and the fern, with the transformed fern images shown in green. The goal has been to approximate the original (black) fern with affinely transformed (green) copies of itself. The rectangular window has been mapped nonantipodally upon itself. So, by Theorem 2, there exists a metric such that the associated affine IFS F is contractive. The original fern (black) and the attractor (red) of F are shown in the right-hand panel. attractor A ⊂ K. An example is illustrated in Projective and Bilinear IFSs Figure 2. We will also use both projective and bilinear IFSs Now we are in a position to explain a stability for creative applications that control the shape relationship between IFS codes and attractors and and topology of attractors and transformations thus to exhibit a form of stability, as in attribute between attractors. Both are generalizations of

(III). We can control the (Hausdorff) distance hK , two-dimensional affine IFSs. Both can be expressed which depends on dK , between A and T because with relatively succinct IFS codes yet have more de- it depends continuously on the distance between grees of freedom than affines. Another such family F (T ) and T . Indeed, the collage theorem [2] states of IFSs is provided by the Möbius transformations that on C ∪ {∞}. The availability of a rich selection of accessible examples is a valuable attribute for the hK (F (T ) , T ) hK (A, T ) ≤ , survival of a mathematical idea. 1 − λ In two , the functions of a projective where 0 ≤ λ < 1 is a Lipshitz constant for F : IFS are represented in the form H → H, for example the maximum of a set of (0.1) contractivity factors of the fns with respect to dK . anx + bny + cn dnx + eny + kn fn(x, y) = ( , ), Notice that this relationship says nothing about the gnx + hny + jn gnx + hny + jn topological structure of an attractor: it comments where the coefficients are real numbers. A similar only on its approximate shape. result to Theorem 2 applies to such projective The collage theorem expresses one kind of transformations restricted to a judiciously chosen stability for the IFS creative system, as in attribute convex body, with the associated Hilbert metric (III): small changes in the IFS code of a contractive ([12], p. 105), used in place of the generalized IFS lead to small changes in the shape of the Minkowski metric mentioned above. Specifical- attractor. Indeed, this realization played a role in ly, let F denote a projective IFS of the form the development of fractal image compression [2]. ◦ ◦ (K ; f1, . . . , fN ), where K is the interior of a con- In this development several things occurred. First, vex body K ⊂ R2 such that F (K) ⊂ K◦. The ◦ affine IFS theory adapted to a digital environment, associated Hilbert metric dH is defined on K by illustrating a component of attribute (V). Because d (x, y) = ln |R (x, y; a, b)| for all contractive affine IFSs do not in general translate H ◦ to contractive discrete operators [28], new theory x, y ∈ K with x ≠ y, had to be developed. (See, for example, [16].) This where R (x, y; a, b) = (|b − x|/ |x − a|)/(|b − y|/ illustrates stability of a second kind, as required |y − a| ) denotes the cross ratio between x, y and in attribute (III): the underlying ideas are robust the two intersection points a, b of the straight line relative to structural changes in the creative system. through x, y with the boundary K. You might like Finally, a real application was the result, as required to verify that F is a contractive IFS with respect to by attribute (V). dH , using the fact that projective transformations

January 2010 Notices of the AMS 13 Figure 3. The four quadrilaterals IEAH, IEBF,IGCF, IGDH define both a projective F and a bilinear IFS G, both of which have a unique attractor, the filled rectangle with vertices at ABCD; but the address structures are different. In the left panel and right panels, the attractors of F and G, respectively, have been rendered, so that points with the same address are the same shade of grey. The address structure is independent of E,F,G,H,I in the bilinear case but not in the projective case. (Hint: compare how lines meet the line IE.)

preserve cross ratios. So projective IFSs can be provides a family of homeomorphisms on R, with used in applications in nearly the same way as applications to photographic art, attribute (V), affine systems. while the projective family does not, as we will see. To describe bilinear transformations, let R = [0, 1]2 ⊂ R2 denote the unit square, with vertices The Chaos Game A = (0, 0), B = (1, 0), C = (1, 1), D = (0, 1). Let How do we compute approximate attractors in a P,Q,R,S denote, in cyclic order, the successive ver- digital environment? Algorithms based on direct tices of a possibly degenerate quadrilateral. Then ◦k discretization of the expression A = limk→∞ F (B) we uniquely define a bilinear function B : R → R have high memory requirements and tend to be such that B(ABCD) = PQRS by inaccurate [28]. The availability of a simple algo- (0.2) rithm that is fast and accurate, for the types of B = + − + − + + − − (x, y) P x(Q P) y(S P) xy(R P Q S). IFS that we discuss, has played an important role This transformation acts affinely on any straight in the survival of the IFS creative system. The line that is parallel to either the x-axis or the y-axis. following algorithm, known as the chaos game, For example, if B|AB : AB → PQ is the restriction of was described to a wide audience in Byte magazine B to AB, and if Q : R2 → R2 is the affine function in 1988 (see Figure 4) and successfully dispersed defined by Q(x, y) = P + x(Q − P) + y(S − P), then IFS codes to the computer science community. It Q|AB = B|AB . Because of this “affine on the bound- helped ensure that the IFS creative system would ary” property, bilinear functions are well suited have attribute (V). to the construction of fractal homeomorphisms, ∞ Define a random orbit {xk}k=0 of a point x0 ∈ X as we will see. Sufficient conditions under which under F = (X; f1, . . . , fN ) by xk = fσ k (xk−1), where there exists a metric with respect to which a given σ k ∈ {1, 2,...,N} is chosen, independently of all bilinear transformation is contractive are given in other choices, by rolling an N-sided die. If the [6]. A bilinear IFS has an attractor when its IFS code underlying space is two-dimensional and F is is close enough (in an appropriate metric) to the contractive, then it is probable that a picture of IFS code of an affine IFS that has an attractor. the attractor of F, accurate to within viewing An example of a geometrical configuration of 107 resolution, will be obtained by plotting {x } quadrilaterals that gives rise to both a projective k k=100 on a digital display device. and a bilinear IFS is illustrated in Figure 3. In either Why does this Markov chain algo- case we define the IFS to be (R; f , f , f , f ) where 1 2 3 4 rithm work? The following theorem, implicit in f1(ABCD) = IEAH, f2 (ABCD) = IEBF, [8], tells us how we can think of the attractor of a

f3 (ABCD) = IGCF, f3(ABCD) = IGDH, contractive IFS as being the ω-limit set of almost any random orbit. A direct proof can be found in where the first expression means f (A) = I, f (B) = 1 1 [31]. E, f1 (C) = A, f1 (D) = H. With few constraints each ∞ IFS is contractive with respect to a metric that is Theorem 3. Let {xk}k=0 be a random orbit of a Lipshitz equivalent to the Euclidean metric, with contractive IFS. With probability one attractor equal to the filled rectangle ABCD. But ∞ lim ∪k=K {xk} = A, there is an important difference: the bilinear family K→∞

14 Notices of the AMS Volume 57, Number 1 Figure 4. The original pseudocode from Byte magazine (January 1988) for implementing the chaos game algorithm to obtain an image of the attractor of an IFS on R2. Notice the small number of iterations used! Nowadays, usually, I use 107 iterations and discard the first thousand points. On the right is a sketch of a 2–variable tree obtained by a generalization of the chaos game.

Figure 5. From left to right this picture shows: the result of 9000 iterations of the chaos game algorithm applied to a projective IFS; the result of 107 iterations; a small picture of a flower; and a rendered close-up of the attractor. In the latter image the colors were obtained with the aid of a fractal transformation from the attractor to the small picture of the yellow flower. where the limit is taken with respect to the attractors. This information helps to classify our Hausdorff metric. diverse plants, attribute (I), and leads into real applications in art and biology, attribute (V). Good Pictures, calculated using the chaos game bookkeeping is the key. algorithm, of the attractor of a projective IFS The space = {1, 2,...,N}∞ with the product R Ω ( ; f1, f2, f3, ) are shown in the leftmost two topology plays a fundamental role in IFS theory panels of Figure 5. You can visualize an approxi- and in this article. We write σ = σ 1σ 2 ... to denote mation to the stationary probability measure of a typical element of . We will use the notation the stochastic process, implicit in the chaos game, Ω fσ 1σ 2...σ k := fσ 1 ◦ fσ 2 ◦ · · · ◦ fσ k , σ |k = σ 1σ 2 . . . σ k, in the left-hand image. This measure depends on and f = f for any σ ∈ and k = 1, 2,... . σ 1σ 2...σ k σ |k Ω the strictly positive probabilities associated with The following theorem suggests that our plants the maps, but its support, the attractor, does not! can have intricate topological structures and sug- Measure theory aspects of IFS are not considered gests that symbolic dynamics are involved, thereby in this article, but it is nice to see one way in which adding a lusher interpretation of attribute (I). the topic arises. Theorem 4. [18] Let F = (X; f1, . . . , fN ) be a con- Addresses and Transformations Between tractive IFS, with attractor A. Let x ∈ X. A continu- Attractors ous surjection π : Ω → A, independent of x, is well defined by π (σ ) = lim f (x); the convergence In this section we deepen our understanding of k→∞ σ |k is uniform for (σ , x) ∈ × B, for any B ∈ H. attractors. We discover information about the Ω relationship between IFS codes and the topology of The set of addresses of a point x ∈ A is defined attractors and the relationships between different to be the set π −1 (x) and defines an equivalence

January 2010 Notices of the AMS 15 Figure 6. Three renderings of a close-up of the attractor in Figure 5 computed using a coupled version of the chaos game and a fractal transformation. On the left the computation has been stopped early, yielding a misty effect. Different aspects of the fractal transformation are revealed by applying it to different pictures.

relation ∼ on Ω. For example, the attractor each point of AF the point of AG whose set of of the IFS (R; f1(x) = x/2, f2(x) = x/2 + 1/2) addresses includes the top address of the point is the closed interval [0, 1]. You may check in AF . This provides a map TFG : AF → AG called that π −1(0) = 1 := 1111 ... , π −1(1) = 2 , a fractal transformation. When the address struc- −1 −1  π (1/2) = {12, 21}, and π (1/3) = 12 . Some tures of AF and AG are the same, this map is points of an attractor have one address while a homeomorphism. Since fractal transformations others have multiple distinct addresses. The can be readily computed by means of a coupled topology on A is the identification topology on Ω version of the chaos game, applications to art and induced by the continuous map π : Ω → A. In this geometric modeling become feasible, and the IFS paper we refer to the set of equivalence classes creative system tests new forms and environments, induced by ∼ on Ω as the address structure of the attribute (V). IFS. Figure 3 contrasts the address structures of a Let R ⊂ R2 denote a filled unit square. Let corresponding pair of bilinear and projective IFSs. p : R → C be a picture (function); that is, p is a We can think of the topology of an attractor A as mapping from R into a color space C.A color space being that of Ω with all points in each equivalence is a set of points each of which is associated with a class glued together; that is, A is homeomorphic unique color. In computer graphics a typical color 3 to Ω/ ∼. Simple examples demonstrate that the space is C = {0, 1,..., 255} , where the coordinates address structure can change in complicated ways of a point represent digital values of red, green, when a single parameter is varied: the topologies of and blue. The graph of a picture function may be attractors, our plants, in contrast to their shapes, represented by a colorful picture supported on do not in general depend continuously on their R. Next time you see a picture hanging on a wall, IFS codes. By restricting to appropriate families imagine that it is instead an abstraction, a graph of projective or bilinear IFSs, with known address of a picture function. More generally, we allow the structures, control of the topology of attractors domain of a picture function to be an arbitrary becomes feasible. subset of R2. A point on an attractor may have multiple For example, in the right-hand image in Figure addresses. We select the “top” address to provide 5 we have rendered the graph of pe : AF → C a unique assignment; the top address is the one obtained by choosing p to correspond to the closest to 1 = 1111 ... in lexographic ordering. picture of the yellow flower, G to be an affine IFS  4 Each element of the address structure of an IFS is such that gn (R) n=1 is a set of rectangular tiles represented by a unique point in Ω. This choice with ∪gn (R) = R, and F to be the projective IFS is serendipitous, because the resulting set of ad- whose attractor is illustrated in black. In Figure dresses, called the tops space, is shift invariant 6 we show other renderings of a portion of the and so yields a link between our plants, symbolic attractor, obtained by changing the picture p and, dynamics, and information theory attribute (IV), in the left-hand image, by stopping the chaos game see [5] and references therein. algorithm early; the pictures are all computed by We define a natural map from an attractor AF using a coupled variant of the chaos game. Because of an IFS F to the attractor AG of an IFS G, each pe = p ◦ TFG one can infer something about the with the same number of maps, by assigning to nature of fractal transformations by looking at

16 Notices of the AMS Volume 57, Number 1 Figure 7. (i) The adjustable points a, b, c used to define a family of affine iterated function 2 systems F = (R ; f1, f2, f3, f4) with constant address structure; (ii) a picture supported on the attractor of an IFS belonging to the family; (iii) the same picture, transformed under a fractal homeomorphism of the form TFG = π G ◦ τF , where F and G are two IFSs belonging to the family.

Figure 8. Example of a fractal homeomorphism generated by two IFSs of four bilinear transformations. The attractor of each transformation is the unit square. such pictures. By panning the source picture p it AB, let a denote a point on the line is possible to make fascinating video segment BC, and let b denote a point on the line of images. You can see some yourself with the segment CA, such that {a, b, c} ∩ {A, B, C} = œ; see aid of SFVideoShop [32]. In the present example Figure 7(i). 2  you would quickly infer that TFG is not continuous Let F = R ; f1, f2, f3, f4 be the unique affine IFS but that it is not far from being so: it may be such that continuous except across a countable set of arcs. f1(ABC) = caB, f2(ABC) = Cab,

f3(ABC) = cAb, and f4(ABC) = cab, The Art of Fractal Homeomorphism where we mean, for example, that f1 maps A to c, Affine and bilinear iterated function systems can B to a, and C to B; see Figure 7(i). For reference, be used to provide a wide variety of parameterized let us write F = Fα,β,γ where α = |Bc|/|AB|, β = families of homeomorphisms on two-dimensional |Ca|/|BC|, and γ = |Ab|/|CA|. The attractor of regions with polygonal boundaries such as trian- Fα,β,γ is the filled triangle T with vertices at A, gles and quadrilaterals. We use them to illustrate B, and C. Then Fα,β,γ is contractive IFS, for each the application of the IFS creative system to a α, β, γ ∈ (0, 1)3, with respect to a metric that is new art form. In effect this application is itself a Lipshitz equivalent to the Euclidean metric, by The- new creative system for artists. This provides an orem 2. Its address structure Cα,β,γ is independent of attribute (VI): creative systems beget of α, β, γ (see [5], section 8.1). creative systems. Figure 7(ii) illustrates a picture p : T → C; it For example, let A, B, and C denote three non- depicts fallen autumn leaves. Figure 7(iii) illus- 2 colinear points in R . Let c denote a point on the trates the picture pe = p ◦ TFG, namely the result of

January 2010 Notices of the AMS 17 Figure 9. Before (left) and after a fractal homeomorphism.

Figure 10. Detail from Figure 9 showing not only the vibrant colors of nature but also the wide range of stretching and squeezing achieved in this relatively simple fractal transformation.

applying the homeomorphism TFG to the picture p, Australian heather is given in Figure 8. In this case where F = F0.45,0.45,0.45 and G = F0.55,0.55,0.55. The the parameters v and w both correspond to affine transformation in this example is area-preserving IFSs. What is remarkable in this case, and many because corresponding tiles have equal areas. like it, is that the transformed picture looks so A similar result applies to families of bilinear realistic. Can you tell which is the original? IFSs. For example, Figure 3 defines a family of Figure 9 illustrates a homeomorphic fractal

bilinear IFSs, Fv , parameterized by the vector of transformation generated by a pair of bilinear IFSs points v = (E, F, G, H, I). This family has constant on R. In this case N = 12. The original image is a

address structure for all values of v for which Fv digital of a lemon tree and wallflowers is contractive and can thus be used to provide in my garden in Canberra. The final image was

a family of homeomorphisms Tv,w : R → R. An printed out on thick acid-free rag paper by a pro- illustration of the action of Tv,w on a picture of fessional printing company, using vivid pigment

18 Notices of the AMS Volume 57, Number 1 inks, at a width of approximately 5 ft. and a height Figure 11 illustrates a 2–variable fractal subset of of 3 ft. 6 ins. It represents a fusion of the colors the Euclidean plane: it is a union of two tiles of of nature and mathematics; it provokes wonder in half its size: it is also a union of at most two tiles me, a sense of the pristine and inviolate, a yearning of a quarter its size, and so on. to look and look ever closer (see Figure 10). Let F = (X; f1, . . . , fN ) be an IFS of functions fn I have used such extraordinary transformations that are contractive with respect to the metric d to generate works for three successful (most of the on X. If G = (X; fω1 , . . . , fωl ) for some choice of pictures are sold) art shows in Canberra (, indices 1 ≤ ω1 < ω2 < ··· < ωl ≤ N, then we say July 2008), in Bellingham (Washington State, July that G is a subIFS of F.  2008), and in Gainesville (Florida, March 2009). Given an IFS G = X; g1, . . . , gM and a sequence of indices ρ = ρ1ρ2 . . . ρM , where each ρm belongs Superfractals to {1, 2,...,V }, we can construct a mapping G(ρ) : V In this section we illustrate attribute (VI). We show H → H by defining how IFS theory begets a new creative system via a (ρ)   G (B) = ∪mgm Bρ , for all higher level of abstraction. The new framework is m V suitable for mathematical modeling of the geome- B = (B1,B2,...,BV ) ∈ H . try of a multitude of naturally occurring, readily In a similar manner, given a set of subIFSs  observable structures. It also has applications to G1,..., GL of F, each consisting of M functions, the visual arts. we can construct mappings from HV to itself. Let V The new system has some remarkable properties. σ = σ 1σ 2 . . . σ V ∈ {1, 2,...,L} , let ρ be a V × M Its attractor is a set of interrelated sets that can be matrix whose entries belong to {1, 2,...,V }, and sampled by a variant of the chaos game algorithm, th here let ρv denote the v row of ρ. Then we define as illustrated in Figure 12. This algorithm is born a mapping G(ρ,σ ) : HV → HV by fully formed and is the key to applications. The (ρ,σ ) (ρ1) (ρ2) (ρV ) geometry and topology of the interrelated sets G (B) = (Gσ 1 (B), Gσ 2 (B), . . . , Gσ V (B)). can be controlled when appropriate generalized We denote the sequence of all such mappings by IFSs are used. In particular, through the concepts  Hj : j ∈ J , where J is the set of all indices (ρ,σ ) of V -variability [7] and superfractals, we are able (V ) V   in some order. We call G = H ; Hj : j ∈ J to form a practical bridge between deterministic the V –variable superIFS associated with the set of fractals (such as some of the IFS attractors in pre-  L subIFSs Gl of F. vious sections) and random fractal objects (such l=1 We write B to denote the vth component of as statistically self-similar curves that represent v B ∈ HV . If the space HV is equipped with the Brownian motion). metric D(B, C) := maxv {h(Bv ,Cv )}, where h is the Hausdorff metric on H, then HV ,D is a complete V –Variability metric space. The following theorem summarizes Here is a biological way to think of “V –variability”. basic information about G(V ). More information is Imagine a tree that grows with this property. If presented in [4] and [7]. you were to break off all of the branches of any (V ) − one generation and classify them, you would find Theorem 5. [7] Let G denote the V variable su- V H ∈  that they were of, at most, V different types. By perIFS H ; j : j J . F “generation” I mean that you are able to think of (i) If the underlying IFS is contractive, then the IFS (V )is contractive. the tree as having older and younger branches, G (ii) The unique attractor A(V ) ∈ H HV  of G(V ) that is, some that started to grow during year consists of a set of V –tuples of compact subsets of X one, subbranches that began during year two, and and A(V ) := {B : B ∈ A(V ), v = 1, 2,...,V } = {B : so on. The tree is very old. By “type” I mean v v B ∈ A(V )} for all v = 1, 2,...,V . (Symmetry of the something like “belongs to a particular conjugacy superIFS with respect to the V coordinates causes class”. The type may change from generation to this.) Each element of A(V ) is a union of transforma- generation, but the number V is fixed and as small tions, belonging to F, of at most V other elements as possible. Then I will call the imagined tree of A(V ). “V–variable”. Figure 4 includes an illustration of a (iii) If {A }∞ denotes a random orbit of A ∈ 2–variable tree, where the younger branches start k k=0 0 HV under G(V ) and A ∈ H denotes the first higher up the tree. Again, consider a population of k component of A , then (with probability one) annual plants belonging to a species that admits k lim ∪∞ {A } = A(V ) where the limit is taken S distinct possible genotypes. If the number of K→∞ k=K k with respect to the Hausdorff metric on H(H(X)). distinct genotypes in each generation is bounded above by V , then (in circumstances in which V is Statement (i) implies that G(V ) possesses a significantly smaller than S) I would call this popu- unique attractor A(V ) and that we can describe lation “V –variable”. But the mathematical definition it in terms of the chaos game. This technique is relates to a property of attractors of certain IFSs. straightforward to apply, since we need only to

January 2010 Notices of the AMS 19 Figure 11. An element of a 2-variable superfractal is shown on the left. If you look closely at it, you will see that it is made of exactly two distinct (up to translation, reflection, and rotation) subobjects of half the linear (the two objects immediately to the right of the first one). And, if you look even closer, you will see that it is made of two subobjects of one-quarter the linear dimension, and so on.

Figure 12. Elements of a 2–variable superfractal, rendered as in Figure 5.

select independently at each step the indices ρ and of which is used to define the picture whose colors σ ; the functions themselves are readily built up are used to render the other sets. from those of the underlying IFS F. Figure 12 illustrates elements taken from such Statement (ii) tells us that it is useful to focus on an orbit. In this case a 2–variable superIFS is used: the set A(V ) of first components of elements of A(V ). it consists of two subIFSs of a projective IFS F, (V ) It also implies that, given any A ∈ A and any consisting of five functions, detailed in [4]. The (V ) positive integer K, there exist A1,A2,...,AV ∈ A fern-like structure of all elements of the corre- such that A = ∪ ∪ f (A ). That is, at l∈{1,2,...,V} σ ∈Ω σ |K l sponding superfractal is ensured by a generalized any depth K, A is a union of contractions applied version of the collage theorem. to V sets, all belonging to A(V ), at most V of which are distinct. In view of this property, the elements The Problem Solved by Superfractals of A(V ) are called V –variable fractal sets, and we refer to A(V ) itself as a superfractal. The diverse forms that illustrate a successful idea, Statement (iii) tells us that we can use random the plants of a creative system, may change as ∞ V (V ) time goes forward. The ideas of an earlier era of orbits {Ak}k=0 of A0 ∈ H under G to sample the superfractal A(V ). geometry that were popular in applications includ- The idea of address structures, tops, and fractal ed cissoids, strophoids, nephroids, and astroids: transformations can be extended to the individual more recently you would hear about manifolds, sets that comprise A(V ); see [4]. We are thus able to Ricci curvature, and vector bundles; today you render colorful images of sequences of elements are just as likely to hear about fractals. Why? As of A(V ) generated by a more elaborate chaos game technology advances, some applications become involving at each step a (V + 1)–tuple of sets, one extinct, and new ones emerge.

20 Notices of the AMS Volume 57, Number 1 In The Fractal Geometry of Nature [24], Mandel- primarily to illustrate the idea of a mathematical brot argues that random fractals provide geomet- creative system. rical models for naturally occurring shapes and To survey mathematical fractal geometry, I men- forms, such as coastlines, clouds, lungs, trees, and tion the series of four conference proceedings [36], Brownian motion. A random fractal is a statistically [37], [38], and [39], carefully edited by Christoph self-similar object with noninteger Hausdorff di- Bandt, Martina Zähle, and others. The books by mension. Although there are mathematical theories Falconer, for example [14] and [15], are good text- for families of random fractals—see, for example, books for core material. A recent development has [25]—they are generally cumbersome to use in been the discovery of how to construct harmonic geometric modeling applications. functions and a calculus on certain fractal sets; For example, consider the problem of modeling see [20]. This was reported in the Notices [33]. real ferns: ferns look different at different levels A light introduction is [34]. Fractals and number of magnification, and the locations of the fronds theory is an important area; see, for example, [22], are not according to some strictly deterministic [11], and [23]. The topic of noncommutative fractal pattern, as in a geometric series; rather, they geometry is another fascinating new area [21]. have elements of randomness. It seems that a Fractal geometry is rich with creative possibilities. top-down hierarchical description, starting at the coarsest level and working down to finer scales, is Conclusion needed to provide specific geometrical information In this essay I have illustrated the notion that math- about structure at all levels of magnification. This ematical ideas that survive are creative systems in presents a problem: clearly it is time-consuming their own right, with attributes that parallel some and expensive in terms of the amount of data of natural evolution. needed to describe even a single sample from some Creative systems define, via their DNA, diverse statistical ensemble of such objects. forms and structures. There are three concepts Superfractals solve this problem by restricting here: seeds, plants, and diversity. Individual plants the type of randomness to be V -variable. This are products of the system, representatives of its approach enables the generalized chaos game current state and utility. The system itself may algorithm, described above, to work, yielding se- remain constant, but the plants evolve, adapting to quences of samples from a probability distribution new generations of minds. The IFS creative system on V -variable sets belonging to a superfractal. In lives in my mind. But mainly I watch its plants: turn, this means that we can approximate fully ones that preoccupy me now are not the same as random fractals because, in the limit as V tends the ones that I looked at years ago; the crucial element is the creative system, not the fractal fern. to infinity, V -variable fractals become random Plants provide the first wave of conquest of fractals in the sense of [25] (see, for example, [7], new environments; an adapted version of the Theorem 51). underlying new idea may follow later. The diversity Thus, we are able to compute arbitrarily ac- of plants suggests a multitude of possibilities. curate sequences of samples of random fractals. Their seeds get into the minds of engineers and Furthermore, we have modeling tools, obtained by scientists. Later, the underlying idea, the creative generalizing those that belong to IFS theory, such system itself, may take hold. as collage theorem and fractal transformations, I think of a good mathematical mind, a strong which extend in natural ways to the V-variable mathematics department, and a successful con- setting. In some cases the Hausdorff dimension ference as each being, like Darwin’s bank, a rich of these objects can also be specified as part of ecosystem, a fertile environment where ideas inter- the model. This provides an approach to modeling act and diverse species of plants are in evidence. many naturally occurring structures that is both Some of these plants may be highly visible because mathematically satisfying and computationally they can be represented using computer graphics, workable. In particular, we see how the IFS cre- while others are more hidden: you may only see ative system begat a new, even more powerful them in colloquia, a few glittering words that system, with diverse potential applications. This capture and describe something wonderful, jump completes my argument that iterated function from brain to brain, and there take root. (I think systems comprise a creative system. of the first time I heard about the Propp-Wilson algorithm.) Further Reading A good mathematical idea is a creative system, I would have liked to tell you much more about IFS a source of new ideas, as rich in their own right as theory. But this is not a review article, even of some the original. The idea that survives is one that takes of my own work. It does not touch the full range root in the minds of others: it does so because of the subject, let alone the mathematics of fractal it is accessible and empowering. Such an idea is geometry as a whole. The contents were chosen likely to lead to applications, but this applicability

January 2010 Notices of the AMS 21 is more a symptom that the idea is a creative [20] J. Kigami, Harmonic Calculus on p.c.f. Self-similar system rather than being causative. A good idea Sets, Trans. Amer. Math. Soc. 335 (1993), 721–55. allows, invites, surprises, simplifies, and shares [21] Michel L. Lapidus, Towards a noncommutative itself without ever becoming smaller; as generous, fractal geometry? Contemporary Mathematics 208 (1997), 211–52. mysterious, and bountiful as nature itself. [22] Michel L. Lapidus and Machiel van Franken- huysen, Fractal Geometry and , Acknowledgments Birkhäuser, Boston, 1999. I acknowledge and thank David C. Wilson, Örjan [23] Wolfgang Müller, Jörg M. Thuswaldner, and Stenflo, and Andrew Vince for helpful comments. I Robert Tichy, Fractal Properties of Number Systems, Period. Math. Hungar. 42 (2001), 51–68. thank Louisa Barnsley for the . [24] Benoit Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman, San Francisco, 1983. References [25] R. Daniel Mauldin and S. C. Williams, Random re- [1] Ross Atkins, M. F. Barnsley, David C. Wilson, cursive constructions: Asymptotic geometrical and Andrew Vince, A characterization of point-fibred topological properties, Trans. Amer. Math. Soc. 295 affine iterated function systems, to appear in (1986), 325–46. Topology Proceedings (2009), arXiv:0908.1416v1. [26] B. Mendelson, Introduction to Topology (British [2] M. F. Barnsley, Fractal image compression, Notices edition), Blackie & Son, , 1963. Amer. Math. Soc. 43 (1996), 657–62. [27] Maria Moszy´nska, Selected Topics in Convex [3] , Theory and application of fractal tops. In Geometry, Birkhäuser, Boston, 2006. Fractals in Engineering: New Trends in Theory and [28] Mario Peruggia, Discrete Iterated Function Systems, Applications, (J. Lévy-Véhel and E. Lutton, eds.), A. K. Peters, Wellesley, MA, 1993. London, Springer-Verlag, 2005, 3–20. [29] A. Rényi, Representations of real numbers and their [4] , Superfractals, Cambridge University Press, ergodic properties, Acta Math. Acad. Sci. Hungar. 8 Cambridge, 2006. (1957), 477–93. [5] , Transformations between self-referential [30] R. Tyrrel Rockafellar, Convex Analysis, Princeton sets, Amer. Math. Monthly 116 (2009), 291–304. University Press, Princeton, 1970. [6] , Transformations between fractals, Progress [31] Robert Scealy, V-variable Fractals and Interpo- in Probability, 61 (2009), 227–50. lation, Ph.D thesis, Australian National University, [7] M. F. Barnsley, J. Hutchinson, Ö. Stenflo, V- 2008. variable fractals: fractals with partial self similarity, [32] SFVideoShop, Windows software available free from Advances in Mathematics 218 (2008), 2051–88. www.superfractals.com. Written by M. F. Barnsley [8] M. F. Barnsley and S. G. Demko, Iterated function and R. Xie. systems and the global construction of fractals, Proc. [33] Robert S. Strichartz, Analysis on fractals, Notices Roy. Soc. London Ser. A 399 (1985), 243–75. Amer. Math. Soc. 46 (1999), 1199–1208. [9] M. A. Berger and Y. Wang, Bounded semigroups [34] , Differential Equations on Fractals, Princeton of matrices, Linear Algebra and Appl. 166 (1992), University Press, 2006. 21–7. [35] Stephen Wolfram, A New Kind of Science, Wolfram [10] I. Daubechies and J. C. Lagarias, Sets of matri- Media, Inc., Champagne, 2002. ces all infinite products of which converge, Linear [36] Christoph Bandt, Siegfried Graf, and Marti- Algebra and Appl. 162 (1992), 227–63. na Zähle, (eds.), Fractal Geometry and Stochastics [11] N. Pytheas Fogg, Substitutions in dynamics, arith- (Progress in Probability 37), Birkhäuser Verlag, , metics and (V. Berthé, S. Ferenczi, and 1995. C. Mauduit eds.), Lecture Notes in Mathematics 1794 [37] , Fractal Geometry and Stochastics II (Progress (2002), Springer-Verlag, Berlin. in Probability 46), Birkhäuser Verlag, Basel, 2000. [12] Herbert Buseman, The Geometry of Geodesics, [38] Christoph Bandt, Umberto Mosco, and Martina Academic Press, New , 1955. Zähle, (eds.), Fractal Geometry and Stochastics III [13] L. Janos, A converse of Banach’s contraction (Progress in Probability 57), Birkhäuser Verlag, Basel, theorem, Proc. Amer. Math. Soc. 18 (1967), 287–9. 2004. [14] Kenneth Falconer, Fractal Geometry: Mathemati- [39] Christoph Bandt, Peter Mörters, and Martina cal Foundations and Applications (Second Edition), Zähle, (eds.) Fractal Geometry and Stochastics IV John Wiley & Sons, Chichester, 2003. (Progress in Probability 61), Birkhäuser Verlag, Basel, [15] , Techniques in Fractal Geometry, Cambridge 2009. University Press, Cambridge, 1997. [16] Yuval Fisher, Fractal Image Compression: Theory and Application, Springer Verlag, , 1995. [17] M. W. Hirsh and S. Smale, Differential Equations and Linear Algebra, Academic Press, Harcourt Brace Jovanovich, San Diego, 1974. [18] J. E. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713–47. [19] A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems. With a Supple- mentary Chapter by Katok and Leonardo Mendoza, Cambridge University Press, Cambridge, 1995.

22 Notices of the AMS Volume 57, Number 1 A m e r i c a n M at h e m at i c a l S o c i e t y AMS Book and Journal Donation Program

The AMS Book and Journal Donation Program matches donors with academic institutions in countries that have a crucial need for research-level publications to support their mathematics programs. Potential donors are invited to contact the AMS with information about books and primary research journals that they are willing to donate to those libraries. (Please note that textbooks and the Notices or Bulletin are not candidates for this program.) Suitable publications are used to fill existing inquiries, or are listed on our website as an invitation for libraries to request the items. Under this program, donations are shipped not to the AMS but directly to the receiving institutions, and the Society reimburses donors for shipping costs. For more information, see www.ams.org/employment/bookdonation.html Contact: Membership and Programs Department, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA; telephone: 800-321-4267, ext. 4139 (U.S. and Canada) or 401-455-4139 (worldwide); email: [email protected] Envisioning the Invisible Tim Chartier

To Be the Remainder and adults alike often giggle when they compute “What is it like to be the remainder?” I answer sets of odd size. this question with a mime sketch in a perfor- This sketch, like many others that I perform, mance created specifically to motivate thinking contextualizes a mathematical idea, enabling an about mathematics. I play the part of a clown audience to place an abstract concept into a story. who, almost compulsively, divides objects into This mathematical mime piece presents mathemat- two groups as they emerge from a suitcase. Re- ics in a physical rather than algebraic way. Whether peatedly, one object is left: the remainder of the written in formulas or portrayed through the division. The pantomime touches on a universal movement of mime, such expressions are pointers human experience—being alone. In fact, the dra- to an intellectual experience. This sketch does not matic line of the piece relies heavily on a tension offer a proof of the divisibility of odd and even between togetherness and separateness. numbers. It does reflect what mathematicians This sketch guides the audience, mathemati- often do prior to writing a proof—analyze simple cians and nonmathematicians, through a cerebral examples and look for trends in cases of increas- journey of parity. The mathematical claim is quite ing complexity. simple: division by two of any odd number will This sketch is quite popular with audiences result in a remainder of 1, whereas two divides of varying ages. Nonmathematicians enjoy an- evenly into any even number. The clown, in his ticipating the clown’s ultimate fate with the set of simpleminded way, struggles to accept this fact. ever-growing size. Mathematicians also enjoy the With increasingly large numbers, he is empatheti- sketch. The concept it portrays is quite elementary. cally saddened by a sole remainder and satisfied Mathematicians can be silenced by elegant proofs when groups divide evenly. Yet, almost tempting of simpler concepts and somehow dissatisfied with mathematical fate, he peers into his suitcase even seemingly clumsy proofs of complex material. The after forming groups of equal size. This daring pleasure brought about by a good proof can simi- spirit results in new, larger sets of objects that larly be evoked through the performing arts—in he must divide. The sketch begins with one, then two, and this case, through a mimetic translation of math- quickly three objects. Even as the set grows to ematical thoughts. Why shouldn’t we be silenced six and seven items, the audience can mentally by an elegant sketch? Completed proofs uncover group the objects to quickly discern the parity of some truth; we have all experienced the exhilara- the set. Later in the sketch, the set grows first by tion of such discoveries. Mathematicians can be three and then by five. At this stage, it is harder quite excited by the mime sketches I perform as to visually anticipate the resulting remainder. they illustrate their abstract world. Regarding this Primary school audiences are often heard count- sketch on remainder, a child from a multi-age ing the number of objects in order to calculate third- and fourth-grade classroom wrote, whether such aloneness will result. The clown Thank you for coming to my class to almost always seems to discover his mathematical teach and show us some pantomime…. destiny more slowly than the audience. Children I especially loved the remainder act Tim Chartier is professor of mathematics at Davidson because it made me laugh. I DID see College. His email address is [email protected]. the remainder.

24 NOTICES OF THE AMS VOLUME 57, NUMBER 1 It is helpful to note that I, like many mimes, do not wear whiteface. Such a choice enables me to vary the presentation by utilizing masks and props and transition from silence to speaking. Given this, the piece easily provokes discussion on infinity. The portion of the sketch just described leads to the following question for the class or audience: There is the moment in the sketch when the mime cuts the rope that goes on forever in both directions. After it is cut, how long is the rope that remains in the mime’s hand? Audiences vary in their responses. My favorite answers generally come from children, which have included, “very long”, “half as long”, and, of course, “infinitely long”. I generally state that the concept of infinite size differs from finite size in that some- thing of infinite size can have some subset (itself possibly infinite in size) removed and remain of infinite size. Audience members have commented after a show, “I had always just thought of infin- Figure 1. Tim Chartier cuts a mime rope of ity as essentially the largest number.” The mime infinite length. sketch challenges this misconception. Mime speaks in its silence, often leaving echo- It is natural to ask, “What mathematical ideas ing, unspoken words in the audience’s conscious- can be visualized with mime?” For some, math and ness. The contents of a clown’s suitcase demon- mime might seem to exist in disjoint subspaces of strate a sense of number. An invisible rope left the human experience, and thus a list of answers on the performance floor pulls one into struggles to this question would be an empty set. As for regarding cardinality and the infinite. me, mime and math have converged in my life, and as reflected in this article, I see that the set is Math with a Mime Ball nonempty and countable. Yet, I sometimes wonder Now, we will touch several arithmetic operators if the set is countably infinite or quite possibly of by, first, snatching a mime ball from the air. It a finite size of such magnitude that I will never has the weight of an orange. We should practice create a one-to-one correspondence between my tossing and catching it several times. Of course, mime sketches and invisible concepts of math that we are handling a mime ball, so we can just as could be made visible with mime. In this article, easily pick another. Let’s do so, and then smash I describe some of the ways I use mime to speak it together with the first and reform the resulting about mathematics. mass into a mime ball with twice the weight as the original. We toss the newly formed ball into the air Touching the Infinite and catch it with appropriate adjustments for the Let’s now turn our attention to a mime piece that new weight. Putting this ball aside, we snatch five visualizes the one-dimensional number line as a mime balls from the air, mash them together, and rope of infinite length. The sketch begins with the demonstrate the resulting weight with physical lone mime walking toward the audience and sud- changes in our tossing. Now, we smash 100 mime denly stumbling. Peering down, my character sees balls into one; the ball has grown so heavy that we an (invisible) object on the floor and proceeds to cannot lift it. So we reverse the process and divide slowly pick it up. Examining it, he discovers a rope the ball in half and reform the hemisphere into a of infinite length in both directions. Wondering mime ball. We can repeat this process, as desired, what might be at the end of this very long rope, he until we have again produced an invisible object begins pulling and suddenly is pulled. A tug-of-war of liftable weight. results and can prompt questions for the audience The extent to which the of tossing a about the nature of infinity. My character becomes mime ball looks real depends largely on the ability so frustrated that he pulls a pair of scissors from of the mime to accurately approximate a realistic his back pocket and cuts the rope. Two pieces trajectory of the ball. The mime’s body should of the rope remain; one is anchored in his hand reflect the force needed to throw a heavier object. while the other portion zips away as if retracted The initial velocity of the ball should influence far offstage. The continues, but I will refrain the length and height of the trajectory. Although from divulging all of its secrets. a mime has the ability to create wildly unrealistic

JANUARY 2010 NOTICES OF THE AMS 25 (a) (b) Figure 2. (a) Children hold huge mime balls. (b) This illusion is connected to research in computational fluid dynamics to predict the flight of a soccer ball. trajectories, an effect that can be quite humorous, the tube, or “Slinky” as many audience members such decisions are generally most effective after name it, contorts into a variety of shapes from establishing the illusion of realistic movement. small to tall, linear to twisted. The progression of At this point, audiences are inspired to learn shapes is actually choreographed so as to disori- about applications in science that compute trajec- ent many viewers as to my orientation. A popular tories. Predicting an object’s trajectory under a set discussion after the sketch involves audience of initial conditions is a question appropriate for members postulating how my body was positioned mathematical research. For instance, research by in the tube so as to construct different shapes. the University of and Fluent Europe digi- Audiences seem ready to tackle mathematical tized a soccer ball and computed the resulting air topics that involve the tube. So we present a game. flow over a kicked ball. (See Figure 2b.) Researchers Suppose Slinky begins in the shape of a “∨”. Now, found that the shape and surface of the ball, as Slinky cannot disconnect any part of itself or at- well as its initial orientation, play a fundamental tach itself to any other part at any time. Following role in the ball’s trajectory through the air. Such only this simple rule, what letters of the alphabet research could influence the stitching patterns of can Slinky form? Quickly, audiences, from school- future soccer balls [3]. Note, however, that the goal children to residents of a retirement community, of this scientific research is to accurately predict call out their answers. Note that the validity of movement, whereas the goal of our mime move- one’s answer depends, in part, on the style of ment was to simply seem believable. font that one imagines. Whether this subtlety is mentioned depends largely on the mathematical Tubular Topology sophistication of the audience. In a piece with my wife and trained mime, This sketch places topology into a fun, non- Tanya Chartier, her character interacts with a huge threatening setting. Audiences think, risk, and pos- tube, as seen in Figure 3. Throughout the sketch, tulate. Isn’t mathematics, from a certain viewpoint,

(a) (b) Figure 3. A huge Slinky motivates discussion on topology and equivalence of shapes.

26 NOTICES OF THE AMS VOLUME 57, NUMBER 1 leaving centuries of mathemati- cians with the challenge of prov- ing it true. Math- ematical discov- ery is a human achievement. Such stories can remind audiences of the personal side and chal- lenges that are all too often hidden behind the math- ematical theo- Figure 4. Performances by Karl Schaffer (left) and Art Benjamin (right) focus on rems and meth- mathematical topics. ods we study and Photo on left by Steve DeBartolomeo and the right Anne White. Used with permission. develop. a cognitive game in which we ramble through our thoughts and options in search of a winning One Act Among Many insight? When we “win”, we celebrate, even if only My mathematical mime leans heavily on that per- momentarily. However, in this game, there is al- forming art’s ability to embody the invisible. Other ways another challenge, and successes generally mathematicians with a talent for other performing lead to greater challenges and bigger rewards. arts present mathematics in their own interesting and compelling ways [5]. Being Let me assemble a playbill of performing arts Ultimately, audiences, whether in primary, middle, that could easily fill a mathematical variety show. or high schools, large state universities or private We could begin with Colm Mulcahy (Spelman colleges, can live mathematics vicariously through College) performing magic with a deck of cards. my mime performance. In fact, a developing sketch Knowing the mathematical sophistication of this will allow audience members to “meet” a mathema- audience, his tricks would lean on a variety of tician like Isaac Newton through the use of mask topics from Fibonacci numbers [6] to results of work. I have studied under Marcel Marceau, and Paul Erd˝os [7]. After this opening act of magic, I have also trained in other schools of mime and Colin Adams (Williams College) could enter as Mel physical theater, resulting in my broad and versa- Slugbate, who pitches investments in hyperbolic tile approach to the art. These sketches on famous space for those nervous about the financial risks mathematicians will use masks constructed from of buying realty in Euclidean space. Then, an audi- a cast of my face and enable me to speak. Indeed, ence member could select a circuit in a graph that the sketch combines mime and spoken word. In would determine a sequence of 5-ball juggling pat- time, I hope to develop robust sketches to match terns for Greg Warrington (University of Vermont). some tremendous masks, which I commissioned The lights dim and Karl Schaffer (DeAnza College) and a member of his troupe would begin a dance with grant funding, of Isaac Newton, Pierre de piece about the prisoner’s dilemma. Finally, Art Fermat, and . In performance, Benjamin (Harvey Mudd College) would enter and the characters will share stories from their lives, befuddle the audience with his outstanding rapid which ultimately led each to far-reaching impacts mental arithmetic and mathemagic. Interested in mathematics. I select stories that reflect the in such an evening of entertaining mathematics? humanity of the person and that may resonate While I don’t have a venue for such performances, with an audience member’s life. Sophie Germain’s I can lead you to a collection of work that you can mask is modeled from pictures of her as a youth. read or view. In particular, see [1, 2, 4, 8, 9]. She will enter the stage with a blanket draped over her shoulders, as her parents hid her clothes Silent, Closing Confessions in the evening in the hope that the cold night air At a recent show in a rural middle school, the would confine her to bed and stop her studying. throng of early teenagers entered the auditorium Secretly, she will be stepping to her desk to study with varying levels of interest; some cracked jokes her beloved mathematics in the dark hours of the about mimes and others spoke loudly regarding night. Pierre de Fermat will tell the tale of that their frustrations with math. As I looked out on the fateful day in which a proof appeared to unfold in assembled mass, a large proportion of them sat, in his mind but was too long to fit into the margins various poses, with that characteristic air of dis- of his book. He could only write the conjecture, tant disdain of a teenage student. In performance,

JANUARY 2010 NOTICES OF THE AMS 27 I generally make a quick judgment call as to how to begin the show. In this case, some well-placed jokes and the use of several convincing mime il- lusions transformed the atmosphere from quiet and uncertain to laughing and engaged. The show ended in that unmistakable, energetic applause of appreciation. As I conclude this article and written presenta- tion of my mathematical mime, I wonder what type of audience member you are. What auditorium did I enter as I began this article with the Notices readership? More important, have you touched the unseen or heard the unspoken through this narrative of my silent movement? As mathematicians, our intellectual world is commonly abstract and invisible. We create a narrative of our intellectual thought through our written words. For me, mime is another, quite dif- ferent but surprisingly similar, way of journeying through this logical field. Best of all, this art creates a road map that invites mathematician and non- mathematician alike to travel alongside me—often in silence, with occasional laughter.

Acknowledgments The author thanks Tanya Chartier and John Swal- low for their insightful comments regarding this article.

References [1] Colm Mulcahy’s Card Colm, http://www.maa.org/ columns/colm/cardcolm.html, accessed May 2009. [2] Colin Adams and Thomas Garrity, The Great Pi/e Debate: Which Is the Better Number?, of America, 2006. [3] Sarah Barber and Tim Chartier, Bending a soccer ball with CFD, SIAM News 40 (July/August 2007), no. 6, 6. [4] Arthur Benjamin and Michael Shermer, Secrets of Mental Math: The Mathemagician’s Guide to Lightning Calculation and Amazing Math Tricks, Three Rivers Press, 2006. [5] Timothy Chartier, Mathematically entertained, FOCUS 27 (March 2007), no. 3, 18–19. [6] Colm Mulcahy, Additional certainties, February 2008, http://www.maa.org/columns/colm/ cardcolm200803.html. [7] ——— , A little Erdo˝s/Szekeres magic, June 2005, http://www.maa.org/columns/colm/ cardcolm200506.html. [8] Karl Schaffer, Erik Stern, and Scott Kim, Math Dance with Dr. Schaffer and Mr. Stern, http://www. mathdance.org. [9] Gregory S. Warrington, Juggling probabilities, PERSONAL Amer. Math. Monthly 112 (2005), no. 2, 105–118. COMPUTER TYPESETTING SOFTWARE

28 NOTICES OF THE AMS VOLUME 57, NUMBER 1 The AMS Epsilon Fund for Young Scholars

HelpHelp bringbring THETHE WORLDWORLD ofof mathematicsmathematics intointo thethe liveslives ofof youngyoung people.people.

Whether they become Please give generously. scientists, engineers, or Learn about giving opportunities and estate planning entrepreneurs, young people www.ams.org/giving-to-ams with mathematical talent need to be nurtured. Income from this Contact the AMS Development Office fund supports the Young Scholars 1.800.321.4267 (U.S. and Canada) or Program, which provides grants to 1.401.455.4000 summer programs for talented high (worldwide) school students. email: [email protected] 09/04 Music: Broken Symmetry, Geometry, and Complexity Gary W. Don, Karyn K. Muir, Gordon B. Volk, James S. Walker

he relation between mathematics and Melody contains both pitch and rhythm. Is • music has a long and rich history, in- it possible to objectively describe their con- cluding: Pythagorean harmonic theory, nection? fundamentals and overtones, frequency Is it possible to objectively describe the com- • Tand pitch, and mathematical group the- plexity of musical rhythm? ory in musical scores [7, 47, 56, 15]. This article In discussing these and other questions, we shall is part of a special issue on the theme of math- outline the mathematical methods we use and ematics, creativity, and the arts. We shall explore provide some illustrative examples from a wide some of the ways that mathematics can aid in variety of music. creativity and understanding artistic expression The paper is organized as follows. We first sum- in the realm of the musical arts. In particular, we marize the mathematical method of Gabor trans- hope to provide some intriguing new insights on forms (also known as short-time Fourier trans- such questions as: forms, or spectrograms). This summary empha- sizes the use of a discrete Gabor frame to perform Does Louis Armstrong’s voice like his • the analysis. The section that follows illustrates trumpet? the value of spectrograms in providing objec- What do , Ben- • tive descriptions of musical performance and the ny Goodman, and Jimi Hendrix have in geometric time-frequency structure of recorded common? musical sound. Our examples cover a wide range How does the brain fool us sometimes • of musical genres and interpretation styles, in- when listening to music? And how have cluding: Pavarotti singing an aria by Puccini [17], used such ? the 1982 Atlanta Symphony Orchestra recording How can mathematics help us create new of Copland’s Appalachian Spring symphony [5], • music? the 1950 Louis Armstrong recording of “La Vie en Rose” [64], the 1970 rock music introduction to Gary W. Don is professor of music at the University “Layla” by and Eric Clapton [63], the of Wisconsin-Eau Claire. His email address is dongw@ 1968 Beatles’ “Blackbird” [11], and the Re- uwec.edu. naissance motet, “Non vos relinquam orphanos”, Karyn K. Muir is a mathematics major at the State Uni- by William Byrd [8]. We then discuss signal syn- versity of New York at Geneseo. Her email address is thesis using dual Gabor frames, and illustrate [email protected]. how this synthesis can be used for processing Gordon B. Volk is a mathematics major at the Universi- recorded sound and creating new music. Then we ty of Wisconsin-Eau Claire. His email address is volkgb@ turn to the method of continuous wavelet trans- uwec.edu. forms and show how they can be used together James S. Walker is professor of mathematics at the Uni- with spectrograms for two applications: (1) zoom- versity of Wisconsin-Eau Claire. His email address is ing in on spectrograms to provide more detailed [email protected]. views and (2) producing objective time-frequency

30 Notices of the AMS Volume 57, Number 1 portraits of melody and rhythm. The musical il- lustrations for these two applications are from a 1983 Aldo Ciccolini performance of ’s “Gymnopédie I” [81] and a 1961 Dave Brubeck jazz recording “ Dance” [94]. We conclude the paper with a quantitative, objective description (a) (b) (c) of the complexity of rhythmic styles, combining Figure 1. (a) Signal. (b) Succession of window ideas from music and information theory. functions. (c) Signal multiplied by middle window in (b); an FFT can now be applied to Discrete Gabor Transforms: Signal this windowed signal. Analysis We briefly review the widely employed method of Gabor transforms [53], also known as short-time The Gabor transform that we employ uses a Fourier transforms, or spectrograms, or sono- Blackman window defined by grams. The first comprehensive effort in employing 0.42 0.5 cos(2πt/λ) spectrograms in musical analysis was Robert Co- + + gan’s masterpiece, New Images of Musical Sound w(t)  0.08 cos(4πt/λ) for t λ/2 =  | | ≤ [27] — a book that still deserves close study. A more 0 for t > λ/2 | | recent contribution is [62]. In [37, 38], Dörfler de-  for a positive parameter λ equaling the width scribes the fundamental mathematical aspects of of the window where the FFT is performed. In using Gabor transforms for musical analysis. Other Figure 1(b) we show a succession of these Black- sources for theory and applications of short-time man windows. Further background on why we use Fourier transforms include [3, 76, 19, 83, 65]. There Blackman windows can be found in [20]. is also considerable mathematical background in The efficacy of these Gabor transforms is shown [50, 51, 55], with musical applications in [40]. Us- by how well they produce time-frequency portraits ing sonograms or spectrograms for analyzing the that accord well with our auditory perception, music of birdsong is described in [61, 80, 67]. The which is described in the vast literature on Ga- theory of Gabor transforms is discussed in com- bor transforms that we briefly summarized above. plete detail in [50, 51, 55] from the standpoint of In this paper we shall provide many additional function space theory. Our focus here, however, examples illustrating their efficacy. will be on its discrete aspects, as we are going to Remark 1. To see how spectrograms display the be processing digital recordings. frequency content of recorded sound, it helps to The sound signals that we analyze are all dig- write the FFT in (1) in a more explicit form. ital, hence discrete, so we assume that a sound The FFT that weF use is given, for even N, by the signal has the form f (tk) , for uniformly spaced { } following mapping of a sequence of real numbers values tk k t in a finite interval [0,T]. A Gabor m N/2 1 = am m= N/−2 : transform of f , with window function w, is defined { } =− N/2 1 as follows. First,∆ multiply f (tk) by a sequence of 1 − { } M F i2πmν/N shifted window functions w(t τ ) , produc- (2) am ------Aν am e− , k ℓ ℓ 0 { } → = √N { − } = M n m XN/2 o ing time-localized subsignals, f (tk)w(tk τℓ) ℓ 0. =− { − M } = where ν is any integer. In applying in (1), we Uniformly spaced time values, τℓ tjℓ ℓ 0, are F used for the shifts (j being a{ positive= } integer= make use of the fact that each Blackman window M w(tk τℓ) is centered on τℓ jℓ t and is 0 for greater than 1). The windows w(tk τℓ) ℓ 0 are − = { − } = tk outside of its support, which runs from tk all compactly supported and overlap each other; = (jℓ N/2) t to tk (jℓ N/2)∆ t and is 0 at see Figure 1. The value of M is determined by − = + tk (jℓ N/2) t. So, for a given windowing spec- the minimum number of windows needed to cover = ± ified by ℓ, the∆ FFT in (2) is applied∆ to the vector [0,T], as illustrated in Figure 1(b). Second, because N/2 1 F w is compactly supported, we treat each subsignal (am)m −N/2 defined∆ by =− jℓ N/2 1 f (t )w(t τ ) as a finite sequence and apply + − k k ℓ f (tk)w([k jℓ] t) . { − } k jℓ N/2 an FFT to it. This yields the Gabor transform of − = − F   f (tk) : In (2), the variable∆ ν corresponds to frequencies { } i2πmν/N M for the discrete complex exponentials e− (1) f (tk)w(tk τℓ) ℓ 0. {F{ − }} = used in defining the FFT . For real-valued data, F We shall describe (1) more explicitly in a moment such as recorded sound, the FFT values Aν satisfy (see Remark 1 below). For now, note that because the symmetry condition A ν Aν∗, where Aν∗ is − = the values tk belong to the finite interval [0,T], the complex conjugate of Aν . Hence, no significant we always extend our signal values beyond the information is gained with negative frequencies. interval’s endpoints by appending zeros; hence Moreover, when the Gabor transform is displayed, the full supports of all windows are included. the values of the Gabor transform are plotted as

January 2010 Notices of the AMS 31 squared magnitudes (we refer to such plots as require that the windows satisfy

spectrograms). There is perfect symmetry at ν M 2 and ν, so the negative frequency values are not (6) A w (tk τℓ) B − ≤ − ≤ displayed in the spectrograms. ℓ 0 X= for two positive constants A and B (the frame Gabor Frames constants). The constants A and B ensure numeri- When we discuss audio synthesis, it will be im- cal stability, including preventing overflow during portant to make use of the expression of Gabor analysis and synthesis. The inequalities in (6) transforms in terms of Gabor frames. An important obviously hold for our Blackman windows when seminal paper in this field is [92]. A comprehensive they are overlapping as shown in Figure 1(b). Us- introduction can be found in [48]. We introduce ing (4) through (6), along with the Cauchy-Schwarz Gabor frames here because they follow naturally inequality, we obtain (for K : k1 k0 1): from combining (1) and (2). If you prefer to see = − + M,N/2 1 − musical examples, then please skip ahead to the 2 2 (7) Cℓ,ν (KB) f , next section and return here when we discuss | | ≤ k k ℓ 0,ν N/2 signal synthesis. = X=− where f is the standard Euclidean norm: f 2 Making use of the description of the vector (am) k k k k k = 1 f (t ) 2. When we consider Gabor transform given at the end of Remark 1, we can express (1) k k0 k = | | as Psynthesis later in the paper, we shall also find that k M,N/2 1 1 − 1 i2π[k jℓ]ν/N 2 2 (3) f (k t) w([k jℓ] t) e− − . (8) (A/K) f Cℓ,ν . √N − k k ≤ | | k k0 ℓ 0,ν N/2 X= = X=− ∆ ∆ In (1), the values k and k are the lower and upper So we have (using B1 : A/K and B2 : KB): 0 1 = = limits of k that are needed to extend the signal M,N/2 1 − 2 2 2 values beyond the endpoints of [0,T]. We have (9) B1 f Cℓ,ν B2 f , k k ≤ | | ≤ k k also made use of the fact that w([k jℓ] t) 0 ℓ 0,ν N/2 = X=− for k jℓ N/2 and for k jℓ N/−2. = ≤ − ≥ + a discrete version of standard analysis operator We now define the functions Gℓ,ν (k) for∆ ν bounds in function space theory. By analysis oper- N/2,...,N/2 1 and ℓ 0,...,M as = − − = ator, we mean the Gabor transform defined by 1 G i2π[k jℓ]ν/N ------G (4) Gℓ,ν (k) w([k jℓ] t) e− − f (tk) Cℓ,ν . = √N − { } → { } Remark 2. (1) It is not necessary to use a single and write C for the Gabor transform values that ℓ,ν ∆ fixed window w to perform Gabor analysis. For are computed by performing the computation in example, one could use windows wℓ(tk τℓ) for (3): M 2 − each ℓ, provided A ℓ 0 wℓ (tk τℓ) B is k1 ≤ = − ≤ satisfied. Doing so allowsP for more flexibility in (5) Cℓ,ν f (tk) Gℓ,ν (k). = handling rapid events like drum strikes [100], k k0 X= [37, Chap. 3], [39]. (2) The time values tk do We have suppressed the dependence on j since it not need to be evenly spaced (this is called{ }non- is a fixed value, specifying the amount of shifting uniform sampling) [50, 51]. An application using for each successive window (via τℓ tjℓ). It is nonuniform sampling is described in Example 12. set in advance and does not change= during the analysis procedure using Gℓ,ν . Musical Examples of Gabor Analysis { } The significance of Equation (5) is that each Ga- We now discuss a number of examples of using bor transform value Cℓ,ν is expressed as an inner spectrograms to analyze recorded music. Our goal product with a vector Gℓ,ν (k) . Hence, the entire is to show how spectrograms can be used to pro- arsenal of linear algebra can be brought to bear vide another dimension, a quantitative dimension, on the problems of analyzing and synthesizing to understanding the artistry of some of the great with Gabor transforms. For instance, the vectors performances in music. For each of the displayed Gℓ,ν are a discrete frame. The theory of frames spectrograms, you can view a video of the spec- { } is a well-established part of function space theory, trogram being traced out as the music plays by beginning with the work of Duffin and Schaeffer going to this webpage: on nonharmonic Fourier series [45, 99] through (10) http://www.uwec.edu/walkerjs/MBSGC/ applications in wavelet theory [33, 18, 58] as well as Gabor analysis [50, 51, 55, 24]. Viewing these videos is a real aid to understand- To relate our discrete Gabor frame to this body ing how the spectrograms capture important of standard frame theory, and to provide an ele- features of the music. The website also provides mentary condition for a discrete Gabor frame, we an online bibliography and links to the software

32 Notices of the AMS Volume 57, Number 1 we used. Another site with advanced software for time-frequency analysis is [69]. As we describe these examples, we shall briefly indicate how they relate to the art of music and its creation. While spectrograms are extremely use- ful for quantitative analysis of performance—and performance itself is an act of artistic creation—we shall also point out some ways in which spectro- grams can be of use in aiding the creative process of . When we finish discussing these examples, we will summarize all of these observations on musical creativity. Figure 2. Spectrogram from a recording of Example 1 (Pavarotti’s vocals). Our first example “Nessun Dorma” with Luciano Pavarotti. is a spectrogram analysis of a 1990 recording Pavarotti’s large-amplitude vibrato is clearly of the conclusion of Puccini’s aria, “Nessun Dor- visible and measurable. The differing ma”, featuring a solo by Luciano Pavarotti [17]. formants (selective amplification of different See Figure 2. This spectrogram shows the high- frequency bands) for different vocalizations of amplitude vibrato (oscillations of pitch) that the (printed below the spectrogram) are Pavarotti achieves. Using the spectrogram, we also clearly displayed. Pavarotti changes the can measure quantitatively the amplitudes in the formants for the first two vocalizations of vibrato. This illustrates an interesting creative vincerò, and this is clearly audible as a change application of spectrograms. Because they can be of brightness (timbre) of the sound. In displayed in real time as the singer is performing, addition, Pavarotti holds the final note, sung they can be used to help performers to analyze as an extended ò, with large, constant and improve their vibrato, both in amplitude and amplitude vibrato for more than 5 seconds, an steadiness. One affordable package for real-time amazing feat. (A video for this figure is at (10), spectrogram display can be found at [1]. Notice a larger graphic is at [101].) also that Pavarotti is able to alter the formant structure (the selective amplification of different where m is a positive integer, g is the sound that frequency bands) of the same word in the lyrics, is reverberating, and h is a damping function. The which produces a clearly audible change in bright- superposition of the slightly damped time-shifted ness (timbre) in the sound. Using spectrograms to versions of g creates the blurring effect, due to study formants is usually the domain of linguis- the closeness together in time of almost identical, tics [75]. But here we see that formants—through shifted versions of g. Equation (11) is a discrete a real-time adaptation of selective frequency am- convolution. Audio engineers frequently employ plification (selective resonance)—play a role in the a model like this, called convolution reverb, to magnificent instrumentation that is possible with simulate the effects of reverberation [44], [7, the human voice.1 Sec. 16.7.2]. The function h, called the impulse response, is created once through digitally record- Example 2 (Contrasting choral and solo voicings). ing the reverberation of a very sharp sound (an Our second example is another passage from impulse). Assuming linearity and shift-invariance the same recording of “Nessun Dorma” [17], con- properties of reverberation, the reverberation taining a choral passage and the introduction of of other is simulated digitally via Equa- Pavarotti’s concluding solo. See Figure 3. We can tion (11). We shall give an example of using see in the spectrogram that there is a notable convolution reverb for producing a new musical contrast between the sinuous, blurred vibrato of composition, “Sierpinski Round”, in Example 13. the chorus in the beginning of the passage ver- In contrast to the reverberation in the chorus, sus the clearer vibrato of Pavarotti’s solo voice, Pavarotti’s vocals—which emerge at high volume which is centered on elongated, single pitches. from the midst of the chorus, an emotionally mov- The blurring of the vibrato of the chorus is due ing experience—are much more clearly defined to reverberation (persistent echoing). We can in their vibrato, and his vibrato oscillates around describe this with the following model: constant pitches. The lack of reverberation in

J Pavarotti’s vocals is probably due to a difference in the way his voice was recorded. The recording (11) f (tk) g([k jm] t)h(j), = j 0 − was done live at the ruins of the Baths of Caracalla X= ∆ in . Pavarotti sang into a single microphone, 1There is some speculation that the human vocal appa- while the multiple voices of the chorus were ratus actually evolved first in order to sing, rather than recorded by another microphone (or small set speak [73]. of microphones relative to the large number of

January 2010 Notices of the AMS 33 chorus members). Consequently, the recording of the chorus picks up the reverberation off of the walls of the ruins, while Pavarotti’s single microphone records his initial voicing without much reverberation. The resounding emergence of Pavarotti’s voice from the midst of the chorus is no doubt an artistic choice of Puccini to create a dramatic contrast between the individual and the collective. The blurring of the reverberation of the choral voices versus the clarity of the solo voice serves to further enhance the contrast. This Figure 3. Spectrogram from a recording of enhanced contrast may also be a creative decision, “Nessun Dorma” with Luciano Pavarotti. In the and with methods such as convolution reverb it first 7.5 seconds, there is a chorus of voices can be deliberately produced in creating digital singing. Their lyrics produce several sinuous recordings. blurry curves, corresponding to fundamentals and overtones of male and voices. This Example 3 (Does Louis Armstrong’s voice sound chorus is singing with vibrato, but the vibrato like his trumpet?). The classical Edna is obscured by the blurring (a convolution of Stern has answered this question very nicely, with reverberating sound). In contrast, Pavarotti’s her succinct description of the creative artistry of solo emerges from the chorus at about 7.0 Louis Armstrong: seconds. His voicings are with much clearer The way he plays trumpet is very vibrato and are centered on single, more similar to his singing, it comes elongated pitches. (A video for this figure is at through in the way he is vibrat- (10), a larger graphic is at [101].) ing or marking the expressive moments in the music. Also the vibrato for about six seconds. The corresponding timing and the way he is build- spectrogram image is similar to the final note ing his phrases are both done in for ò! held by Pavarotti in Figure 2, so we do not the same declamatory way as his display it. singing. When he is singing, his The exploding syllables that Stern refers to vibratos are very similar to the are evident in the very brief, sharply sloped trumpet vibratos and I think that structures that initiate many of the vocals. A there is a clarity in the way he particularly prominent one occurs in the vocals punctuates his syllables, using spectrogram in Figure 4 at about 14.0 seconds. A the exploding ones in a sort of similar explosive onset of a trumpet note occurs at trumpet way. [89] about 8.8 seconds in the spectrogram containing In Figure 4 we show two spectrograms of clips the trumpet solo. taken from Armstrong’s 1950 recording of “La Vie Louis Armstrong is well known for both his en Rose” [64] that illustrate perfectly, in a quan- trumpet playing and his unique vocal style. Here titative way, what Stern is talking about. They we have shown, in a quantitative way, that it is contain a trumpet solo and vocals of Armstrong. pointless to try to separate these two aspects of All the vocals exhibit vibrato. The fundamentals his performance. for the trumpet notes are in a higher frequency range (around 500 Hz) than the vocals (around Example 4 (Dissonance in rock music). Our next 200 Hz). The most prominent trumpet notes ex- example is a recording of one of the most famous hibiting vibrato are between 0.2 and 1.4 seconds, passages in rock music, the introduction to the between 10.5 and 12.2 seconds, and between 14.0 1970 recording of “Layla” by Derek and the Domi- and 15.3 seconds. It is interesting how Armstrong noes [63]. See Figure 5. The passage begins with increases the amplitude of the vibrato as these the two guitars of Duane Allman and Eric Clapton notes progress. This is most evident for the three playing in perfect synchronicity. At around 1.7 notes just cited. There is an interesting contrast seconds, however, a buzzing distortion of the between these trumpet notes compared with the sound occurs. This distortion is due to a beating constant frequency notes of other instruments in effect between closely spaced overtones. Although the passage (the horizontal bars in the spectro- this dissonance may offend some ears, it is most gram that correspond to bass notes at the lowest certainly a conscious effect done by the frequencies, as well as guitar and piano notes at as a prelude to the intense pleading, with a very higher frequencies). During the recording, Arm- rough textured voice, of the singer later in the strong also plays notes with constant amplitude song. It is interesting to contrast this intense vibrato. For example, at the end of the record- dissonance with the more subtle one invoked in ing, he sustains a note with constant amplitude “Gymnopédie I” (see Figure 15). When we discuss

34 Notices of the AMS Volume 57, Number 1 of notes and chords in musical scores is well estab- lished [56, 47, 15]. The work now extends even to the use of highly sophisticated methods from al- gebraic geometry [70] and topology [95]. Computer methods are being used as well [21, 12, 7]. One advantage that spectrograms have over analysis of scores, however, is that they provide a way for us to identify these group operations being performed over an extended period of time in a complex musical piece. In such cases, score analysis would be daunting, at least for those without extensive musical training. Spectrograms can help those without score-reading experience to see patterns, and it can help those who do have score-reading experience to connect these group operations to the patterns that they see in the score. Either way, it is valuable. Certainly a solid understanding of these group operations, and how master composers have used them, is an important aspect of to create new musical compositions. Figure 4. Top: Spectrogram of a trumpet solo by Louis Armstrong. Bottom: Spectrogram of Louis Armstrong vocals. (A video for this figure is at (10), a larger graphic is at [101].)

Figure 6. Spectrogram of a passage from Appalachian Spring by Aaron Copland. In the time intervals marked by A through G, there is a complex sequence of transpositions and time dilations, played by various instruments, Figure 5. Spectrogram from a recording of of the basic melody introduced in A. (A video “Layla” with Eric Clapton and Duane Allman on for this figure is at (10), a larger graphic is at guitars. An important feature of the [101].) spectrogram is the clear indication of beating between different overtones. For example, for time between 1.7 and 2.2 seconds and As an example of analyzing a spectrogram with- frequencies around 450 Hz and 750 Hz, and out score references, we look at Section 7 from an also for time between 2.2 and 2.4 seconds and Atlanta Symphony recording of Aaron Copland’s frequencies around 300 Hz, 550 Hz, and 700 symphonic suite, Appalachian Spring [5]. See Fig- Hz. The beating appears as sequences of dark ure 6. Copland uses group-theoretic operations points lying between horizontal overtone in the time-frequency plane—transposition and bands. It is clearly audible as a buzzing sound. dilation—in order to develop the basic melody of (A video for this figure is at (10), a larger the Shaker hymn, “Simple Gifts”. graphic is at [101].) In the spectrogram, within the time interval A “Gymnopédie I”, we will show how this contrast and the frequency range of 300 to 600 Hz, there can be characterized quantitatively and how that is the initial statement of the melody, played by could be of use in musical composition. woodwinds. There is also a transposition and dilation (time shortening) of part of the melody Example 5 (The geometry of Appalachian Spring). to a much higher frequency range (time range The use of finite groups in analyzing the structure 0:15 to 0:17 and frequency range 900 Hz to 1200

January 2010 Notices of the AMS 35 Hz)—a sort of grace note effect, but using an Sing, Sing” [14]3—also shows a similar, approxi- entire melodic motive. In the time interval B and mate mirror symmetry from time 3.5 seconds to the frequency range of 200 to 500 Hz, there is a 8.5 seconds, which is also broken by a gently rising transposition down to stringed instruments, with scale trailing off to the right. In this case, Goodman a time dilation (shrinkage) of the melody, plus is playing a clarinet and bending the notes as is some interpolated notes so that the melody still commonly done in jazz style. The bending of the plays for about 30 seconds. In the time interval C, notes is clearly displayed in the spectrogram by there is a fugue-like development of the melody. the connected curved structures (which possess a symmetry of their own). This is a significant con- It begins with another transposition from A’s trast to the discretely separated, constant harmon- melody to a lower frequency range than in B. ic piano notes in the Beethoven passage. Then at about time 1:12 there is an overlay of a The spectrogram of the Hendrix passage—a clip transposition of A’s melody to a higher frequency from his 1968 recording of “All Along the Watch- range played by horns, and underlying it a very tower” [46]—exhibits a similar pattern to the slow-moving time dilation (stretching) of a trans- other two, an approximately mirror-symmetrical position down to a lower frequency range played descension and ascension of pitch, followed by by bass strings. In the time interval D there is a a gently rising trailing off of melodic contour. transition passage, played by woodwinds, of short Hendrix, however, illustrates a unique aspect of motives pulled from the melody. The beginning of his music. Rather than using discrete notes, he time interval E, from about time 1:37 to time 1:40, instead uses his electric guitar to generate a con- contains a rising horn crescendo that leads into tinuous flow of chords. The chord progression is a transposition of the melody from A to a higher continuous rather than a set of discrete tones frequency range (also played by horns). Within typically used in most Western music. It is inter- the time interval F, there is a transposition down esting that the electronic sound produced here is again, played by woodwinds. Finally, the passage surprisingly warm and soft, especially in the later concludes with the time interval G, containing a “trailing off” portion. Perhaps this is due to Hen- combination of all the previous transpositions: drix’s synthesizing continuous chord transitions played by strings, horns, and woodwinds at and vibrato (“wah-wah”) within the scale, a remarkable achievement. high volume, emphasized by a stately rhythmic A more extended spectrogram analysis of the pounding of a bass drum.2 This passage from Beethoven piano sonata can be found in [27, Appalachian Spring is a remarkable example of pp. 49–56]. For more on jazz vis-à-vis classical an extended development of a melodic theme. music, see [16, pp. 106–132]. For incisive com- Example 6 (What do Ludwig van Beethoven, Benny ments on Hendrix in particular, see [2, pp. 197 Goodman, and Jimi Hendrix have in common?). and 203]. The short answer, of course, is that they all created Example 7 (Birdsong as a creative spark for mu- great music. In Figure 7 we show three spectro- sic). Birdsong has a long and distinguished histo- grams of recordings of short passages from their ry of providing a creative spark for musical com- music. It is interesting to find the similarities and position. Donald Kroodsma, perhaps the world’s differences between these spectrograms and the leading authority on birdsong, has succinctly de- music they reflect. In the Beethoven passage— scribed this history: which is a portion of his Piano Sonata in E (Opus As early as 1240, the cuckoo’s 109) performed by David Añez Garcia [66, Move- cuckoo song appears in human ment 1, Measures 15–17]—we see a descending music, in minor thirds. The series of treble notes followed by an ascending se- of skylarks, song thrushes, and ries, reflecting an approximate mirror symmetry. nightingales debut in the ear- The symmetry is broken, however, by an ascend- ly 1400s. The French ing set of bass notes (indicated by the arrow on Olivier Messiaen is my hero, as the spectrogram). The mirror-symmetric pattern he championed birdsongs in his is also broken by the gentle rising treble notes pieces. I love Respighi’s Pines trailing off to the right. of Rome, too, as the songs of a The spectrogram of the Goodman recording— nightingale accompany the or- a clip from a circa 1943 live broadcast of “Sing, chestra…I learned recently, too, why I have always especially en- joyed the “Spring” concerto from 2For those listeners familiar with the religious back- ground of the Shaker hymn, the metaphor—external 3We hope our discussion of this piece will help to alleviate to the music—of the inheritance of the earth is its undeserved obscurity. At the time of writing, [14] is still unmistakable in this concluding portion. in print.

36 Notices of the AMS Volume 57, Number 1 birdsong to increase its comprehensibility to human ears. He did this based on his own metic- ulous transcriptions into musical scores of songs he heard in the field. With Gabor transforms, this process can be done digitally with the recorded songs themselves; we will discuss how in Exam- ple 12. There is certainly much more to explore in Messiaen’s music using the tools of spectrograms. The tools of percussion scalograms for rhythm analysis (which we discuss later) can be employed as well, since Messiaen incorporated the rhythmic styles of birdsong in his music [80, p. 198]. Besides Messiaen, Stravinsky also incorporated elements of birdsong into some of his compo- sitions. In his classic work of musical theory, Mache devotes an entire chapter to studying, via spectrograms, the connections between the music of birds and elements of Stravinsky’s music [67, Chap. 5]. Mache uses spectrograms as a kind of generalized , which gets around the very challenging problem of transcribing birdsong into standard musical notation. Mache also discusses other music-making in this chapter, which he entitles “”.

Figure 7. Top: Spectrogram from a recording of Beethoven’s Piano Sonata in E (Opus 109). The arrow indicates an ascending bass scale, entering in contrast to the descending treble scale. Middle: Spectrogram from a Benny Goodman recording of “Sing, Sing, Sing”. Bottom: Spectrogram from a Jimi Hendrix recording of “All Along the Watchtower”. (A video for this figure is at (10), a larger graphic is at [101].) Figure 8. Spectrogram of Paul McCartney’s Vivaldi’s : It is the duet with a songbird, from the Beatles’ birds and their songs that cel- recording “Blackbird”. (A video for this figure ebrate the return of spring in is at (10), a larger graphic is at [101].) this concerto, and now I clearly hear their birdsongs in the brief, virtuoso flourishes by the solo Besides the world of , or art violinist. [61, p. 275] music, birdsong has been used in more as well. A striking example is from the Bea- Kroodsma’s book, from which this quote is taken, tles, who bridged the worlds of popular song and is full of spectrograms and their use in analyzing artistic music. At the end of their 1968 recording the musical qualities of birdsong. There is even of “Blackbird” [11], Paul McCartney literally sings a most amusing description on p. 274 of his re- a duet with a blackbird. In Figure 8 we show a searching which composers Java sparrows prefer spectrogram of this portion of the recording. The and carrying out musical education with them! blackbird’s chirps lie in the upper portion of the Unfortunately, we do not have space here to time-frequency plane with sharply sloped rapid do justice to the music of Messiaen. However, changes of pitch, while McCartney’s vocals lie there is an excellent discussion, utilizing both more in the lower portion (although his overtones spectrograms and scores, of the creative inspi- often extend into the region where the blackbird ration of birdsong for his music in Rothenberg’s is singing). In some places, for instance between book [80]. The website for that book [98] also 10.0 and 10.5 seconds, McCartney’s rapid articu- contains some samples of Messiaen’s music and lation is quite similar to the blackbird’s, as we can related birdsongs. One technique that Messi- see in the similar sharply sloped structures—for aen employed was to slow down the tempo of McCartney, most prominently between 250 and

January 2010 Notices of the AMS 37 1000 Hz, and for the blackbird, most prominently between 1500 and 3000 Hz—whereas in other places, there is a contrast between the longer time-scale rhythm to McCartney’s vocals and the shorter time-scale rhythms of the blackbird’s chirps. Example 8 (Do our ears play tricks on us?). In fact, our ears can fool us sometimes. The most famous is due to Shepard [85]. Shepard created electronic tones that seem to rise endlessly in pitch, even though they in fact ascend through just one octave. The tones can also be arranged to create an illusion of endless descent. The website [52] has a nice demonstration of Shepard tones. To hear examples showing that an illusion is actually occurring, go to the URL in (10) and select the topic Example 8: Audio Illusions. Figure 10. Top: Extract from the score of William Byrd’s motet, “Non vos relinquam orphanos”. Bottom: Spectrogram of a recording of the passage, with its structures aligned with the vocals in the score above. An ascending series of overtones lies within the parallelogram. (A video for this figure is at (10), a larger graphic is at [101].)

example is pointed out by Hodges in his delightful article on geometry and music [47, Chap. 6]. The illusion occurs in performances of a Renaissance Figure 9. Spectrogram of Shepard’s illusion of motet by William Byrd, “Non vos relinquam or- an endlessly rising series of tones, which in phanos” (“I will not leave you comfortless”). To fact stay within just one octave. The arrows indicate where the illusion occurs. (A video for describe the illusion, we quote from Hodges’s this figure is at (10), a larger graphic is at article: [101].) Jesus is foretelling his ascension into heaven, Vado ‘I am going’. The moment passes quick- Shepard’s illusion is easily explained using ly …The Vado motif seems to spectrograms. Figure 9 practically speaks for it- move steadily upward through self. The illusion is due to our brain tracking the pitch contour of the fundamentals for the tones the voices, pointing to Jesus’ own and expecting the next fundamental to be exactly movement upwards to heaven. one octave higher than where it occurs. The over- …In fact, the movement is not as tones of the electronic tones are all designed in steady as it sounds; at two of the an octave series—the fundamental multiplied by repetitions there is no movement two, four, eight, etc.—to hide the drop in pitch. upwards. …the ear is deceived. Shepard’s auditory illusion has been used sub- In Figure 10, we show the score and a spectrogram sequently by composers in electronic music, the that illustrates the overtones of the voices at the most notable compositions being produced by Ris- four vocalizations of Vado in a 2003 Cambridge set [7, Chap. 13]. The endlessly rising illusion can Singers recording of the motet [8]. There is clear- be used for expressing moments of infinite, tran- ly a similarity to the scendent joy, while the endlessly descending illu- sion can be used for invoking the opposite emo- of overtones. As Hodges points out, the effect is tion. subtle. Undoubtedly it is more noticeable when lis- The special arrangement of only octave spac- tening to the motet in a locale with long reverber- ings in the overtones does not lend itself well to ation times contributing to the frequency tracking traditional instruments. It is natural to ask, how- process in our brains (such as the Great Hall of Uni- ever, whether composers in the past have used versity College School, London, where this record- illusions like the Shepard tones. Some examples ing was made). As a partial confirmation of this by Bach have been proposed [60, p. 719]. Another idea, we will amplify the indicated overtones in the

38 Notices of the AMS Volume 57, Number 1 motet’s spectrogram in Example 10. This is an ex- a frame dual to the Gabor frame Gℓ,ν . Fol- { } ample of audio synthesis with Gabor transforms, lowing this discussion, we apply this synthesis which we discuss in the next section. method to audio processing and the creation of new electronic music. Summary. The musical examples we have dis- cussed were chosen to illustrate that spectrograms First, we briefly sketch the reconstruction pro- enhance our understanding of how great perform- cess. The FFT in (2) is invertible, via the formula: N/2 1 ing artists produce their music and to provide − 1 i2πmν/N ideas for using Gabor analysis as an aid to creat- (12) am Aν e . √ = N ν N/2 ing new music. Our discussion of these examples =−X produced at least these five ideas: Hence, by applying such FFT-inverses to the Gabor (1) Perfecting vibrato. Using spectrograms, ei- transform in (1), we obtain a set of discrete signals: ther recorded or in real time, to analyze M and perfect vibrato. This applies to vi- f (tk)w(tk τℓ) ℓ 0. {{ − }} = brato in singing and also to vibrato in For each ℓ, we then multiply the ℓth signal by instrumental music. More generally, this w(tk τℓ) and sum over ℓ, obtaining applies to improvements in other musical { − } M M techniques, such as holding a constant 2 2 f (tk)w (tk τℓ) f (tk) w (tk τℓ) . pitch. { − } = { − } ℓ 0 ℓ 0 (2) Convolution reverb. Spectrograms can be X= X= used to compare the results, in a quantita- Multiplying the right side of this last equation by tive way, of recordings made with different the values 1 convolution reverb methods. M − 2 (3) Analyzing dissonance. The beating effect w (tk τℓ) ,  −  of dissonance can be quantified easily with ℓ 0 X= either spectrograms or scalograms (as we   1 which by (6) are no larger than A− , we obtain our describe in Example 14). This allows for original signal values f (tk) . evaluation of creative efforts to employ { } dissonance in music. Synthesis Using Dual Frames (4) Visualizing geometric transformations of We now describe one way in which this reconstruc- the time-frequency plane. Such transfor- tion can be expressed via a dual frame. Alternative mations are regularly used in musical compositions. Spectrograms provide an ways are described in [23, 25, 57]. effective tool for analyzing the patterns We apply inverse FFTs to the Gabor transform of such transformations over longer time values Cℓ,ν in (5), then multiply by w([k jℓ] t) {, and} sum over ℓ to obtain: { − scales than score analysis facilitates. Such } analyses are valuable for understanding M N/2 1 − ∆ w([k jℓ] t) i2π(k jℓ)ν/N the connection between these patterns (13) C − e − . ℓ,ν √N and the music they reflect. ℓ 0 ν N/2 X= =−X ∆ (5) Zoomusicology. Spectrograms provide a M 2 We then divide by m 0 w ([k jm] t), obtaining generalized musical notation for captur- = − ing the production of sonorities by other M N/2 1 P i2π(k jℓ)ν/N − w[(k jℓ) t] e − ∆ species, such as birds. This can yield new Cℓ,ν − f (tk). √N M w 2([k jm] t) = ideas for pitch alterations and rhythmic ℓ 0 ν N/2 m 0 X= =−X = ∆ − alterations (analyzed with the percussion P Now, define the dual Gabor frame ℓ,ν by scalogram method). Also, slowing down { ∆ } i2π(k jℓ)ν/N the tempo of birdsong, which we discuss w([(k jℓ] t) e − (14) ℓ,ν (k) − Γ . M 2 later in Example 12, is an important tech- = √N m 0 w ([k jm] t) nique (first applied by Messiaen). With = ∆ − We leaveΓ it as an exerciseP for the reader to show Gabor transforms, this slowing down can ∆ that ℓ,ν is, in fact, a discrete frame. Using (14), be performed automatically (without te- { } dious and complicated field transcriptions we obtain Γ M N/2 1 to standard musical notation). − (15) f (tk) Cℓ,ν ℓ,ν (k). = ℓ 0 ν N/2 Discrete Gabor Transforms: Signal X= =−X Γ Synthesis Equation (15) is our synthesis of f (tk) using the { } The signal f (tk) can be reconstructed from its dual frame ℓ,ν . { } { } Gabor transform Cℓ,ν . We shall briefly describe We note that by combining (15) with (6) and this reconstruction{ and} show how it can be ex- using the Cauchy-SchwarzΓ inequality, we obtain pressed in terms of synthesis with a dual frame, Inequality (8).

January 2010 Notices of the AMS 39 Remark 3. When there is a high degree of overlap- remainder of the spectrogram (which is unal- M 2 ping of windows, then √N m 0 w ([k jm] t) is tered). Listening to the processed sound file, we = − approximately a constant C, and we have ℓ,ν (k) hear a much greater emphasis on the harp notes P ≈ Gℓ,ν∗ (k)/C. Hence, the dual Gabor frame is, modu-∆ than in the original, and the volume of the rest lo a constant factor and complex conjugation,Γ ap- of the passage is unchanged. We have altered the proximately the same as the Gabor frame. In any figure-ground relationship of the music. case, (15) shows that we can reconstruct the origi- The modification we have performed in this nal signal f as a linear combination of the vectors example is a joint time-frequency filtering of the in the dual Gabor frame, each of which is support- Gabor transform. With this example, we have ed within a single window of the form w([(k touched on an important field of mathematical jℓ] t). These last two statements reveal why we− research known as Gabor multipliers. More details multiplied by the windowings before summing in can be found in [9, 41, 49, 82, 97]. (13).∆ The synthesis on the right side of (15) can be expressed independently of the Gabor transform. We shall use to denote the synthesis mapping S M N/2 1 − (16) Bℓ,ν ------S σ (tk) Bℓ,ν ℓ,ν (k) { } → = ℓ 0 ν N/2 n X= =−X o based on the right side of (15), but now appliedΓ to an arbitrary matrix Bℓ,ν . { } Musical Examples of Gabor Synthesis We shall now illustrate Gabor synthesis with mu- sical examples. There are two basic schemes. One Figure 11. Left: spectrogram of portion of scheme, which is used for creating new music, is Firebird Suite. The structure to be selectively to use the synthesis mapping in (16). The input amplified is labeled H. Right: spectrogram with S matrix Bℓ,ν is specified by the composer, and amplified structure labeled A. (A video for this { } the output σ (tk) is the new, electronic audio. figure is at (10), a larger graphic is at [101].) There is software{ available} for synthesizing music in this way. A beautiful example is the MetaSynth program [71]. Another scheme, which is used for processing audio, can be diagrammed as follows (where P denotes some processing step): P (17) f (tk) ------G Cℓ,ν - Bℓ,ν ------S σ (tk) . { } → { } → { } → { } The end result σ (tk) is the processed audio. { } Figure 12. Selective amplification of a region in Example 9 (Reversing figure and ground). In [38], the spectrogram of a passage from a William Dörfler mentions that one application of Gabor Byrd motet, cf. Figure 10. (A video for this transforms would be to select a single instru- figure is at (10), a larger graphic is at [101].) ment, say a horn, from a musical passage. We will illustrate this idea by amplifying the structure H shown in the spectrogram on the left of Fig- Example 10 (Amplifying Byrd’s illusion). A similar ure 11, which is from a passage in a 1964 Boston example of Gabor multipliers involves an amplifi- Symphony Orchestra recording of Stravinsky’s cation of a portion of the Gabor transform of the Firebird Suite [93]. The sound corresponding to passage from the William Byrd motet considered this structure is a faint sequence of ascending in Example 8. We again amplify a parallelogram re- harp notes. gion of the Gabor transform (see Figure 10). This To amplify just this portion of the sound, we produces the spectrogram shown in Figure 12. Af- multiply the Gabor transform values by a mask ter applying the synthesis mapping to the mod- of quadratically increasing values from 3.7 to ified transform, we are better able toS hear the il- 4.1 within a narrow parallelogram containing H 4 lusion. That is because we have selectively ampli- and value 1 outside the parallelogram (see the fied the overtones of the vocals that our is right of Figure 11) and then perform the synthesis “tracking” when we hear the illusion. mapping . Notice that the amplified structure A standsS out more from the background of the Example 11 (Removing noise from audio). One of the most important examples of audio processing 4The precise formula can be found at the website in (10). with Gabor transforms is in audio denoising. For

40 Notices of the AMS Volume 57, Number 1 reasons of space, we cannot do justice to this vast field. Suffice it to mention that an excellent description of the flexibility of Gabor transform denoising, combining Gabor multipliers with so- phisticated Bayesian methods, is given in Dörfler’s thesis [37, Sec. 3.3]. An elementary introduction is given in [96, Sec. 5.10]. One advantage of Gabor transforms is that the compact support of the windows allows for real-time denoising, including adaptation to changing noise characteristics.

Example 12 (Slowing down sound). In Example 7 Figure 13. Spectrogram for the fractal music we raised the issue of slowing down the tempo “Fern”. (A video for this figure is at (10), a of birdsong. This could be done in two ways. The larger graphic is at [101].) first way is to simply increase the size of the in- terval t between successive signal values when In Figure 13 we show the spectrogram of a gran- playing back the sound. This has the effect, how- ularly synthesized musical passage, “Fern” [35]. ever, of∆ decreasing the frequencies of the pitches The method used for generating the grains Bℓ,ν in the sound. For example, if t is doubled in size, was to use the iterated function system (IFS){ cre-} then the frequencies of all the pitches are halved, ated by Michael Barnsley for drawing a fractal and that lowers all the pitches∆ by one octave. The image of a fern leaf [10, pp. 86–87]. Using the website [98] has examples of this type of slowing probabilities p1 0.01, p2 0.85, p3 0.07, and = = = down of birdsong. p4 0.07, one of the corresponding four affine Another approach to slowing down the - transformations,= song, while leaving the pitches unchanged, is to t a b t e make use of the Gabor transform C of the i i i , (i 1, 2, 3, 4), ℓ,ν i ν c d ν f sound. For example, to decrease the sound{ } tempo A " # = " i i #" # + " i # = by a factor of 2, we would first define a matrix is applied to a pair of time-frequency coordinates Bℓ,ν as follows. We set B2ℓ,ν Cℓ,ν for each ℓ, (starting from an initial seed pair of coordinates). { } = and then interpolate between successive values We shall not list all of the four affine transforma- B2ℓ,ν and B2ℓ 2,ν to define each value B2ℓ 1,ν . Final- tions i here. Theycan be found in [10, Table3.8.3 + + ly, we apply the synthesis mapping in (16) to the on p.A 87]. It will suffice to list just one of them: matrix Bℓ,ν . The windows for this synthesis are { } t 0.2 0.26 t 0 all shifts of the original window w, centered at , 3 ν 0.23− 0.22 ν 0.07 points spaced by the original increment τ. Now, A " # = " #" # + " # however, twice as many windowings are done (so which is applied with probability p3 0.07. Notice = as to extend twice as far in time). This∆ method that 3 is not a member of the Euclidean group, keeps the pitches at the same levels as the original sinceA used for it is not orthogonal. sound, but they now last twice as long. This IFS is used to draw points of the fern Slowing down by a factor of 2 is just the easiest that begin the fundamentals of the notes. An method to describe. This latter approach can also instrumental generator was then used be used to slow down (or speed up) the tempo to generate overtones and time durations for the of the sound signal by other factors. Both these notes and to generate the actual sound file. Our it- methods can also be applied, either separately erations were done 2500 times using John Rahn’s or in combination, to other digital sound files Common Lisp Kernel for music synthesis [78], besides birdsong. For example, the MetaSynth which converts the generated fractal shape into a program [71] allows for this sort of morphing of file of instrumental tone parameters determining digital sound. It is interesting that the morph- initiation, duration, and pitch. This file of instru- ing we have described—which via Gabor frames mental tone parameters was then converted into a can be done in a localized way on just parts of digital audio file using the software C-Sound [30]. the signal—requires the extensions of the Gabor An interesting feature of the type of music transform methodology described in Remark 2. shown in Figure 13 is that the notes contained in the piece do not exhibit the classical note Example 13 (Granular synthesis of new music). As (transpositions, reflections, etc.) that mentioned above, composers can use the scheme are all members of the Euclidean group for the in (16) to create new music. Some good examples time-frequency plane. That is because some of the can be found at the MetaSynth website [71]. How- affine transformations i , such as 3, are not ever, we cannot resist showing two of our own members of the EuclideanA group. PerhapsA these compositions, which are really just motifs that non-Euclidean operations on its notes are one still need to be set within larger compositions. source of the eerie quality of its sound.

January 2010 Notices of the AMS 41 differs from a spectrogram in that it does not use translations of a window of fixed width; instead it uses translations of differently sized dilations of a window. These dilations induce a logarithmic division of the frequency axis. The discrete calculation of a CWT that we use is described in detail in [4, Section 4]. We shall only briefly review it here. Given a function , called the wavelet, the continuous wavelet transform [f ] of a sound W Figure 14. Spectrogram for the granular signal f is defined as Ψ synthesis music, “Sierpinski Round”. (A video Ψ 1 ∞ t τ for this figure is at (10), a larger graphic is at (18) [f ](τ, s) f (t) ( − ) dt W = √s s [101].) Z−∞ Ψ for scale s > 0 and time translationΨ τ. For the As a second instance of granular synthesis, function in the integrand of (18), the variable s we applied Barnsley’s IFS for the Sierpinski trian- produces a dilation and the variable τ produces a gle [10, Table 3.8.1 on p. 86]. However, instead of translation.Ψ generating only the grains for tones from Sierpin- We omit various technicalities concerning the ski’s triangle, we also superimposed two shiftings types of functions that are suitable as wavelets; in time of all such grains, thus producing three see [26, 31, 68]. In [26, 32], Equation (18) is derived Sierpinski triangles superimposed on each oth- from a simple analogyΨ with the logarithmically er at different time positions. The spectrogram structured response of our ear’s basilar membrane of the composition, “Sierpinski Round” [36], is to a sound stimulus f . shown in Figure 14. Besides having visual artis- We now discretize Equation (18). First, we as- tic value, it is interesting to listen to. It sounds sume that the sound signal f (t) is nonzero only like a ghostly chorus, with a bit of the Shepard over the time interval [0,T]. Hence (18) becomes rising-pitch-illusion effect. 1 T t τ We have only touched on the vast arena of gran- [f ](τ, s) f (t) ( − ) dt. W = √s 0 s ular synthesis, fractal music, and electronic music Z We thenΨ make a Riemann sum approximation to in general. More work is described in [7, 47, 74, Ψ this last using t m t, with uniform 77, 28]. Although electronic music has been devel- m spacing t T /N, and discretize= the time variable oping for about half a century, it is perhaps still = τ, using τk k t. This yields ∆ in its infancy. Tonal music, based on harmony of = ∆ one form or another, has been with us for millen- (19) ∆ nia. In his masterful critical history of twentieth- N 1 T 1 − century music, Alex Ross provides a balanced, nu- 1 [f ](τk, s) f (tm) ([tm τk]s− ). anced view of the development of all forms of new W ≈ N √s m 0 − Ψ X= music, including electronic music [79, Part III]. The sum in (19) is a correlationΨ of two discrete Summary. We have described several uses of sequences. Given two N-point discrete sequences fk and k , their correlation (f : )k is defined Gabor transform synthesis for creating new music. { } { } { } These uses are (1) modifying the intensity of a by Ψ N 1 Ψ specific instrument or set of overtones in a musi- − (20) (f : )k fm m k . cal passage, (2) removing noise, (3) slowing down − = m 0 (or speeding up) the sound, (4) granular synthesis. X= Although this only scratches the surface of the [Note: For the sumΨ in (20) toΨ make sense, the use of Gabor transform synthesis, we did provide sequence k is periodically extended, via k : { } − = N k.] additional references in all of our examples. − Thus EquationsΨ (19) and (20) show thatΨ the Continuous Wavelet Transforms ΨCWT, at each scale s, is approximated by a mul- tiple of a discrete correlation of f f (t ) and In this section we briefly review the method of k k s s 1/2 (t s 1) . These discrete{ = correlations} scalograms (continuous wavelet transforms) and k − k − are{ computed= over a} range of discrete values of s, then discuss the method of percussion scalograms. typicallyΨ Ψ Both methods will be illustrated with musical r/J examples. (21) s 2− , r 0, 1, 2,...,I J, = = · where the positive integer I is called the number of Scalograms octaves and the positive integer J is called the num- The theory of continuous wavelet transforms ber of voices per octave. For example, the choice (CWTs) is well established [31, 26, 68]. A CWT of 6 octaves and 12 voices corresponds—based

42 Notices of the AMS Volume 57, Number 1 on the relationship between scales and frequen- cies described below—to the equal-tempered scale used for pianos. The CWTs that we use are based on Gabor b wavelets.5 A Gabor wavelet, with width parame- a c ter ω and frequency parameter ν, is defined as follows: 1/2 π(t/ω)2 i2πνt/ω (22) (t) ω− e− e . = Notice that the complex exponential ei2πνt/ω has frequencyΨν/ω. We call ν/ω the base frequency. It corresponds to the largest scale s 1. The bell- b 1/2 π(t/ω)2 = a c shaped factor ω− e− in (22) damps down the oscillations of , so that their amplitude is significant only within a finite region centered at t 0. (This point is discussedΨ further, with graph- ical= illustrations, in [4, 20].) Because the scale parameter s is used in a reciprocal fashion in Equation (18), it follows that the reciprocal scale 1/s will control the frequency of oscillations of the Figure 15. Bottom: Spectrogram of the 1/2 function s− (t/s) used in Equation (18). Thus beginning of “Gymnopédie I” by Erik Satie. frequency is described in terms of the parameter Top: A zooming in on the first six seconds for 1/s, which EquationΨ (21) shows is logarithmically frequencies between 650 Hz and 1300 Hz. scaled. This point is carefully discussed in [4] and There is beating at three places, marked a, b, c [96, Chap. 6], where Gabor scalograms are shown in both the scalogram and spectrogram. (A to provide a method of zooming in on selected video for this figure is at (10), a larger graphic regions of a spectrogram. Here we shall provide is at [101].) just one new example. the interplay of overtones would be enhanced if Example 14 (Subtle dissonance in “Gymnopédie I”). the system of just intonation were employed. On the bottom of Figure 15, we show a spectro- What Figures 15 and 5 illustrate is that we can gram of the beginning of a 1983 Aldo Ciccolini use spectrograms and scalograms to produce a performance of Erik Satie’s “Gymnopédie I” [81]. quantitative measure of the amount of beating in There is a very subtle dissonance of some of the overtones. For example, beating frequencies can overtones of the notes in the piece. To see this be easily read off from the spectrogram in Figure 5 dissonance we calculated a Gabor scalogram for and the scalogram in Figure 15. Furthermore, the the first 5.944 seconds of the passage, using 1 intensity of the overtones that are “clashing” can octave and 256 voices, a width parameter of 0.1, be measured from the numerical data that those and frequency parameter 65. The base frequency is therefore 650 Hz, and the maximum frequency graphs are displaying. It is an interesting topic is 1300 Hz. This scalogram is shown on the top for future study: to measure these effects in the of Figure 15. The scalogram has zoomed in on music of Debussy, for example, and compare the the spectrogram enough that we can see several use of alternative systems of intonation. regions where overtones are so closely spaced The theory that beating in overtones cre- that beating occurs. This subtle beating is barely ates a dissonant sound in music originated with evident to our ears, contributing to the haunting Helmholtz [59], [47, Chap. 5]. Sethares’s book [84] quality of the tones in the piece. is an important reference relating Helmholtz’s Besides Satie, other composers have used sub- theory to a wide variety of different scales, includ- tle dissonance effects in overtones. Debussy was ing the pentatonic scale and Javanese gamelan a master of such techniques, including using dif- music. ferent types of scales to enhance the interplay of the overtones. The musical history of Ross [79, Percussion Scalograms pp. 43–49] contains a nice synopsis of Debussy’s use of overtones, along with the pentatonic scale As described in [96, Chap. 6] and [20], scalograms of much Oriental music (Chinese, Vietnamese, can be used in conjunction with spectrograms to and Javanese gamelan music). The article [34] produce quantitative portraits of musical rhythm, explores the overtone structures of Debussy in called percussion scalograms. The theory behind depth and also examines the question of whether percussion scalograms is described in detail in [20]. It is related to work of Smith [86, 87, 88]. 5A CWT with Gabor wavelet is closely related to the Here we will only state the method. It consists of Stockwell transform [91, 54, 43, 90]. these two steps:

January 2010 Notices of the AMS 43 2 1000 Step 1. Let Cℓ,ν be the spectrogram image. Calculate{| the| } average µ[ C 2] over | | P all frequencies at each time index ℓ: 500 Hz N/2 1 − 2 1 2 (23) µ[ C ](ℓ) Cℓ,ν , 0 | | = N/2 ν 0 | | 8.12 X= and denote the time average of µ[ C 2] by | | A: strikes 1.02 sec 1 M (24) A µ[ C 2](ℓ). = M 1 | | 03.1 ℓ 0 5.31 + X= 1 2 3 4 5 6 7 Then the pulse train (τℓ) is defined by {P } 0.94 strikes (25) (τℓ) 1 τ : µ[ C 2](k)>A (τℓ), sec P = { k | | } where 1S is the indicator function for a 0.17 set S (1S (t) 1 when t S and 1S (t) 0 29.5 = ∈ = 1 2 3 4 when t ∉ S). The values (τℓ) describe a pulse train whose intervals{P of} 1-values strikes mark off the position and duration of the 1.84 sec percussive strikes. 0.12 Step 2. Compute a Gabor CWT of the 0 4.096 sec 8.192 pulse train signal (τ ) from Step 1. ℓ Figure 16. Melody and rhythm in a passage This Gabor CWT provides{P } an objective from “Unsquare Dance”. Top: Spectrogram. P picture of the varying rhythms within a aligns with the piano notes. Second from top: percussion performance. Percussion scalogram of frequencies above When implementing this method, it is sometimes 3000 Hz. Drumstick and hand clap percussion necessary to process the spectrogram by limiting are emphasized. Third from top: Percussion its values to certain frequency bands (intervals of scalogram of frequencies between 400 and ν values), setting values of the spectrogram to 0 3000 Hz. Piano notes are emphasized. Bottom: outside of such bands. We now show an example Percussion scalogram of frequencies below in which this leads to a precise analysis of the re- 400 Hz. Bass notes are emphasized. Notice lationship between melody and rhythm. (A second that the hand clapping interlaces with the example is discussed in [20, Example 6 on p. 355].) piano notes—7 beats to a measure of 4 Example 15 (Melody and rhythm in “Unsquare (marked off by the bass notes). (A video for Dance”). In the 1961 Dave Brubeck Quartet’s this figure is at (10), a larger graphic is at recording of “Unsquare Dance” [94], there is an [101].) amazing performance involving hand claps, piano pitch, rhythm, and overtone structure. We indi- notes, and bass notes all played in the unusual cated a topic of future research on the music of time signature of 7 . In Figure 16 we show our 4 Debussy, which we hope will yield techniques that analysis of the melody and rhythm in a passage can be applied to composition in general. from “Unsquare Dance”. We used three different frequency ranges from the spectrogram to isolate the different instruments from the passage. The Quantifying Rhythmic Complexity passage begins with a transition from rapid drum- Article [20] introduced sequences of rest lengths stick strikings to hand clappings when the piano between notes (percussive strikes). See Figure 17. enters. The rhythm of the hand clappings plus This was done because the rests between notes 7 piano notes has a 4 time signature. Notice that the are at least as important as the notes themselves. bass notes are playing with a simple repetition As the classical pianist Artur Schnabel said: “The of 4 beats that helps the other musicians play notes I handle no better than many . But within this unusual time signature. In sum, the the pauses between the notes — ah, that is where analysis shown in Figure 16 provides quantitative the art resides.”6 evidence for the “tightness” (rhythmic coherence) We will now attempt to quantify the com- with which these musicians are performing. plexity of a sequence of rests, using ideas from Summary. We gave a couple of examples of the information theory, such as entropy. Ideas from use of scalograms and percussion scalograms in quantitatively analyzing musical performance in 6To hear Artur Schnabel perform, go to the URL in the work of Satie and Brubeck. These examples (10) and click on the link Artur Schnabel: Beethoven’s show the value of these techniques for analyzing Moonlight Sonata.

44 Notices of the AMS Volume 57, Number 1 information theory have been applied extensive- more bits it takes to encode the sequence. Us- ly to musical analysis. A major landmark in the ing the term complexity, rather than information, field is the book by Meyer [72], which, although allows us to avoid any connotations of meaning not providing explicit formulas and quantitative to our sequences of rests. Such connotations of methods, nevertheless set the stage for future meaning are generally irrelevant in information work. The field is now vast. One place to search theory anyway—something being more complex for more material is the online bibliography of has nothing to do with whether it is more or less Downie [42], which, besides covering the impor- meaningful. tant practical application of using information We will now illustrate these ideas with a specific theory to retrieve musical works from databases, example of a rest sequence, the rest sequence from also includes many papers on the general top- the “Dance Around” passage shown in Figure 17. ic of information theory and music. If there is The sequence is anything new in our approach, it would be the (27) 111100000000111000000 . use of percussion scalograms derived from spec- trograms of recorded music of extemporaneous, For this sequence, we get relative frequencies of or improvisational, performances (as opposed to p0 12/14 and p1 2/14 for the rest sym- = = score analysis). In any case, we felt this work to be bols 0 and 1, respectively. Hence the entropy is sufficiently interesting to include here, even if it is E 0.92. We leave it as an exercise for the read- = only a brief introduction to the relations between er to check that for the rest sequence from the information theory and music. “” passage shown in Figure 17, the entropy is E 1.46. These results seem to confirm our impression= that the “Welela” sequence is more complex rhythmically than the “Dance Around” sequence. However,there is more to it than that. In Table1 we show our calculations of the entropy E for 10 different rhythmic passages from different genres of music. While the entries for E do seem to be consistent with the fact that African drumming is Figure 17. Percussion scalograms. Left: From generally regarded as more rhythmically complex “Dance Around”. Middle: From “Welela”. Right: than rock drumming, we do notice that the value of E From “Taxman” (bass notes only). Below each for “Dance Around” is fairly high. For instance, it scalogram is the sequence of rests for the is essentially the same as the “Taxman” sequence. rhythmic sequence. But the “Taxman” sequence is (28) 10001000110001100011, First, we review the basic notion of entropy which seems to be more complex than the “Dance from information theory [6, 29]. We assume that Around” sequence in (27). Moreover, using the we have a stochastic source that emits sequences entropy E would give exactly the same values of E of symbols from a finite set S a0, a1, . . . , an 1 for the following two sequences: = { } = and pk is the probability that the symbol ak is emit- (29) 0000000011111111 ted. The entropy E of the source is then measured in bits by the formula (30) 0011100010001111 n 1 (26) E p log . k 2 p Table 1. Complexity Measures E and C for = k 0 k ! X= Rhythmic Sequences The entropy E provides a greatest lower bound Title∗ Genre E C for the average number of bits per symbol that Wipe Out Rock 07.5 04.5 any uniquely decipherable encoding method could Dance Around Rock 02.9 08.6 achieve in encoding the symbols from the source. In practice, a finite sequence of symbols would Toad Rock 0.9 01.8 need to be encoded. By the law of large numbers, What’d I Say R&B 12.2 07.9 the relative frequencies of occurrence of the sym- Taxman Rock 09.9 08.9 African Drumming 1 African 14.2 13.1 bols ak will be converging to their probabilities, so the{ relative} frequencies can be used in place of African Drumming 2 African 12.4 14.1 Welela African 16.4 13.2 the theoretical probabilities pk . We will interpret an entropy{ } value as indi- African Drumming 3 African 16.4 14.4 cating the magnitude of complexity of a finite Sing, Sing, Sing Jazz 12.5 17.4 sequence—the idea being that the higher the en- ∗Audio files and discography for these sequences are tropy, the more complex the sequence; hence the at the URL in (10).

January 2010 Notices of the AMS 45 But it seems clear that the second sequence is entropy, is another research path. By contextu- more complex rhythmically than the first. al entropy we mean the calculation of entropy To solve this problem, we introduce a second based on a non-Markov description of the source. notion of entropy. The entropy E is based on Symbols will be produced with probabilities that one type of modeling of a stochastic source: the depend on what context the symbol is in. One set memoryless or Markov-0 source model [29, 13]. We of contexts would be the levels of hierarchy of the now consider another model, the Markov-1 source rhythm. As discussed in [20], there is a more com- model. In the Markov-1 model, we assume that plete notation for rhythm sequences that includes the probabilities of emitting any given symbol will grouping the notes into hierarchies. The level of depend on what the previous emitted symbol was. hierarchy a symbol belongs to might then be used These probabilities will be the transition probabil- as the context for that symbol. This idea has the ities between states, a state being the value of a advantage that it may be able to incorporate the symbol. The Markov-1 entropy, which we will de- fact that production of rhythm sequences is not a note by C, is then calculated by an expected value Markov process.7 over all states of the entropies for these transition We have done a couple of preliminary calcula- probabilities. Rather than give a precise formula, it is probably easier to just give an example. tions with the “Dance Around” and “Welela” rhyth- Consider the sequence (29). To do our calcu- mic hierarchies reported in [20, Examples 1 and 2]. lation, we must assume an initial state. Because We found that this new complexity measure, based 0 is the most common rest value in rhythm, we on single (memoryless) frequencies of the note will always assume that the initial state is 0 (this lengths as well as contextual (hierarchical) group- involves appending a dummy symbol 0 to the be- ings, gives complexities of 1.12 for the “Dance ginning of the sequence). We then get probabilities Around” sequence and 1.58 for the “Welela” se- of p0 9/16 and p1 7/16 of being, respectively, quence. The two sequences are now closer in in state= 0 and state= 1 prior to emitting another complexity value, and this may reflect the possi- symbol. The transition probabilities are bility that this new measure may be taking into account some of the speed variations in the “Dance State 0 (p0 9/16) State 1 (p1 7/16) = = Around” drumming (as discussed in the caption 8 0 of Figure 5 in [20]). We mention these results only 0: 0 1 0: → 9 → 7 to pique the reader’s interest. If our speculations are borne out, then we shall describe our findings 1 7 0 1: 1 1: in more detail in a subsequent paper. → 9 → 7 Summary. We have described some complexity and we then calculate the Markov-1 entropy C by measures for musical rhythm and done an initial study of their value in quantifying the complex- C p0E0 p1E1, = + ity in different rhythmic styles. We will continue E E where 0 and 1 are calculated from the transition working on the relation between entropy measures probabilities for state 0 and 1, respectively. This of complexity and musical rhythm, as that work yields C (9/16)(.503258) (7/16)(log 1) 2 has just begun. 0.28, whereas= for the sequence+ (30), we obtain= C 0.89. These Markov-1 entropy values are more Concluding Remarks consistent= with the apparent complexity of the two sequences. We have introduced some exciting aspects of In Table 1 we show our calculations of the the relations between mathematics and music. Markov-1 entropy C for the 10 different rhyth- The methods of Gabor transforms and continu- mic passages. These results seem promising. The ous wavelet transforms were shown to provide African drumming sequences are measured as the a wealth of quantitative methods for analyzing most complex. That includes the jazz sequence music and creating new music. Readers who wish from “Sing, Sing, Sing”, which imitates African to learn more can find ample resources in the rhythm—and is one of the most famous drum References. sequences in jazz history, perhaps because of its complexity. The rock drumming sequences are 7 less complex using this measure. The reason is similar to what Chomsky describes for Obviously we have worked with only a very phrase structure in language [22, p. 22]: “in English, we can find a sequence a S1 b, where there is a depen- small sample of music. We intend to continue + + dency between a and b, and we can select as S another assembling more data, but we do find the results 1 sequence containing c S2 d, where there is dependen- + + of interest and hope that this discussion will spur cy between c and d, then select as S2 another sequence of some further work by others as well. Working on this form, etc.” The parallel between English phrases and other measures of complexity, such as contextual musical phrases (with S1,S2,... as bridges) is obvious.

46 Notices of the AMS Volume 57, Number 1 Acknowledgements [17] Carreras, Domingo, Pavarotti in concert, Orches- This research was partially supported by the Na- tra del Maggio musicale fiorentino and Orchestra tional Science Foundation Grant 144-2974/92974 del Teatro dell’Opera di Roma, conducted by Zubin (REU site SUREPAM program) and by a grant from Mehta. Decca, 1990, Track 12: “Nessun Dorma”. [18] P. Cassaza, The art of frame theory, Taiwan- the UW-Eau Claire Office of Research and Spon- ese J. of Math. 4 (2000), 129–201, available at sored Programs. We thank William Sethares for his http://www.math.nthu.edu.tw/~tjm/abstract/ cogent review of an earlier draft of this paper. We 0006/tjm0006_1.pdf. are also grateful to Marie Taris for her perceptive [19] D. Chen and S. Qian, Joint Time-Frequency Analysis: editorial guidance throughout our preparation of Methods and Applications, Prentice Hall, Englewood this article. J.S.W., in particular, would like to thank Cliffs, NJ, 1996. Steven Krantz for all the encouragement and aid [20] X. Cheng, J. V. Hart, and J. S. Walker, Time- he has given him in pursuing the interdisciplinary frequency analysis of musical rhythm, Notices of the American Mathematical Society 56 (2009), 344– study of mathematics and music. 60, available at http://www.ams.org/notices/ 200903/. References [21] E. Chew, Math & Music—The Perfect Match, [1] Acoustical Research Institute of the Austri- OR/MS Today 35 (2008), 26–31, available at an Academy of Sciences, STx software, avail- www-rcf.usc.edu/~echew/papers/ORMS_Today_ able at http://www.kfs.oeaw.ac.at/content/ 2008/2008-orms_today_ec_lowres.pdf. section/16/392/lang,8859-1/. [22] N. Chomsky, Syntactic Structures, Mouton de [2] J. Adams, Hallelujah Junction: Composing an Amer- Gruyter, New York, 2002. ican Life, Farrar, Straus and Giroux, New York, [23] O. Christensen, Pairs of dual Gabor frame 2008. generators with compact support and desired fre- [3] J. B. Allen and L. R. 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January 2010 Notices of the AMS 47 [39] M. Dörfler and H. Feichtinger, Quilted Gabor 31 (1989), 628–66, available at http://people. families I: Reduced multi-Gabor frames, Appl. Com- math.gatech.edu/~heil/papers/siam.pdf. put. Harmon. Anal. 356 (2004), 2001–23, available [59] H. Helmholtz, On the Sensations of Tone, Dover, at http://homepage.univie.ac.at/monika. New York, 1954. doerfler/. [60] D. R. Hofstadter, Gödel, Escher, Bach: An Eternal [40] M. Dörfler and H. G. Feichtinger, Quantitative Golden Braid, Vintage, New York, 1980. Description of Expression in Performance of Mu- [61] D. Kroodsma, The Singing Life of Birds, Houghton- sic, Using Gabor Representations, Proceedings of Mifflin, New York, 2005. the Diderot Forum on Mathematics and Music, 1999, [62] J. Latartara, Pedagogic applications of Fourier Vienna. analysis and spectrographs in the [41] M. Dörfler and B. 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48 Notices of the AMS Volume 57, Number 1 [81] Satie: L’Oeuvre pour piano, vol. 1, Aldo Ciccoli- ni, piano, recorded in 1983, EMI, 1987, Track 7: “Gymnopédie I”. [82] K. Schnass, Gabor Multipliers: A Self-contained Survey, master’s thesis, Univ. of Vienna, 2004. [83] W. Sethares, Rhythm and Transforms, Springer, New York, 2007. [84] W. Sethares, Tuning, Timbre, Spectrum, Scale, Springer, London, 2005. [85] R. N. Shepard, Circularity in judgements of rela- tive pitch, J. of the Acoustical Soc. of America 36 (1964), 2346–53. [86] L. M. Smith, Modelling rhythm perception by con- tinuous time-frequency analysis, Proceedings of the 1996 International Computer Music Conference, Hong Kong, 392–95. [87] L. M. Smith, A multiresolution time-frequency anal- ysis and interpretation of musical rhythm, thesis, University of , 2000. [88] L. M. Smith and H. Honing, Time-frequency representation of musical rhythm by continuous wavelets, J. of Mathematics and Music 2 (2008), 81–97. [89] E. Stern, quoted from the Pandalous web- site, available at http://www.pandalous.com/ using search topic: Louis Armstrong. [90] R. G. Stockwell, A basis for efficient represent- ation of the S-transform, Digital Signal Processing, 17 (2007), 371–93. [91] R. G. Stockwell, L. Mansinha, and R. P. Lowe, Localization of the complex spectrum: the S trans- form, IEEE Trans. Signal Processing 44 (1996), 998–1001. [92] T. Strohmer, Numerical algorithms for discrete Gabor expansions, see [50, pp. 267–94]. [93] Suite: The Firebird, Igor Stravinsky, Boston Sympho- ny Orchestra, 1964 recording, cond. Erich Leinsdorf, BMG Classics, 1991. [94] Time Further Out, Dave Brubeck Quartet, SONY, 1961, Track 7: “Unsquare Dance”, recorded on June 8, 1961. [95] D. Tymoczko, The geometry of musical chords, Science 313 (2006), 72–4, available at http://www.sciencemag.org/cgi/content/ full/313/5783/72/DC1. [96] J. S. Walker, A Primer on Wavelets and their Scientific Applications, Second Edition, Chapman & Hall/CRC Press, Boca Raton, FL, 2008, material referenced from Chapters 5 and 6 is avail- able at http://www.uwec.edu/walkerjs/MBSGC/ PrimerExtracts/. [97] T. Werther et al., CPR Artifact Removal in Ventricular Fibrillation ECG Signals Us- ing Gabor Multipliers, IEEE Trans. Biomedical Engineering 56 (2009), 320–27. [98] Why Birds Sing website: http://www. whybirdssing.com/. [99] R. M. Young, An Introduction to Nonharmonic Fourier Series, Academic Press, New York, 1980. [100] M. Zibulski and Y. Zeevi, Discrete multiwin- dow Gabor-type transforms, IEEE Trans. Signal Processing 45 (1997), 1428–42. [101] Online version of figures: Available at http://www.ams.org/noticespages/201001/ 10010030/.

January 2010 Notices of the AMS 49 WHATIS... ? an Oka Manifold? Finnur Lárusson

The prototypical complex manifold is the com- in general, is more important. A complex manifold plex plane C. In three cases out of four we find X is Kobayashi hyperbolic if there is a metric (a something interesting by considering the class nondegenerate distance function) d on X such that of complex manifolds X with “many” or “few” d(f (z), f (w)) ≤ δ(z, w) for all holomorphic maps holomorphic maps X → C or C → X. The trick, of f from the open unit disc D = {z ∈ C : |z| < 1} to course, is to come up with a fruitful interpretation X, and all z, w ∈ D. Here δ denotes the Poincaré of the words “many” and “few”. distance on D. Picard’s little theorem says that the As undergraduates, most of us take a course in twice-punctured plane C\{0, 1} is Brody hyperbolic; complex analysis on domains in C. Many of the the- it is in fact Kobayashi hyperbolic. orems proved in such a course extend to a class of Hyperbolicity problems in higher-dimensional manifolds called Stein manifolds. Stein manifolds have been intensively studied play a fundamental role in higher-dimensional in recent years. Many deep problems remain un- complex analysis and complex geometry, similar solved, some to do with a mysterious connection to affine varieties in . One of the many equivalent definitions of a Stein with arithmetic. S. Lang conjectured that a smooth manifold X says, roughly speaking, that there are complex projective variety defined over a number many holomorphic maps X → C, enough in fact to field K is Kobayashi hyperbolic if and only if it has embed X as a closed complex submanifold of Cm only finitely many rational points over each finite for some m. Another is the famous Theorem B of extension of K. In the one-dimensional case, this is H. Cartan that for every coherent analytic a celebrated theorem of G. Faltings. F on X, the groups Hk(X, F) vanish It is only recently that a good notion of a for all k ≥ 1. A third is a convexity property: there complex manifold X having “many” holomorphic is a proper smooth function X → [0, ∞) which is maps C → X has emerged. The new notion has its strictly plurisubharmonic. Plurisubharmonicity is origins in a seminal paper of M. Gromov, the 2009 ordinary convexity weakened just enough to make Abel laureate, published in 1989 [2]. Gromov’s it biholomorphically invariant. The equivalence of ideas and results have been developed further over any two of these definitions is a deep theorem. the past ten years, primarily by F. Forstneriˇc,partly While it is nontrivial to interpret the word in joint work with J. Prezelj. Forstneriˇchas proved “many”, the word “few” has a straightforward inter- the equivalence of over a dozen properties, saying, pretation as “no nonconstant”. A complex manifold in one way or another, that a complex manifold X is Brody hyperbolic if every holomorphic map is the target of many holomorphic maps from C → C X is constant. It turns out that the notion [1]. He has named such manifolds Oka manifolds, of Kobayashi hyperbolicity, equivalent to Brody after K. Oka, a pioneer in several complex variables. hyperbolicity for compact manifolds but stronger In the remainder of this article, we will motivate Finnur Lárusson is associate professor of mathematics at the definition of an Oka manifold, sketch what the University of Adelaide. His email address is finnur. is known about them, and mention two major [email protected]. applications of the ambient theory.

50 Notices of the AMS Volume 57, Number 1 (What about the fourth class, of complex man- map f : S → X can be deformed to a holomorphic ifolds with “few” holomorphic maps to C? Even map. If f is already holomorphic on a subvariety if we interpret “few” as “no nonconstant”, this T of S, then the restriction f |T may be kept fixed class seems too big to be of interest. It contains all during the deformation. If f is already holomorphic compact manifolds and a whole lot more.) on a holomorphically convex compact subset K of Runge and Weierstrass. The story begins with S, then the restriction f |K may be kept arbitrarily two well-known theorems of nineteenth-century close to being fixed during the deformation. All complex analysis concerning a domain Ω in C. The this can be done parametrically. If we have a family Runge approximation theorem says that if K is a of maps f , depending continuously on a parameter compact subset of Ω with no holes in Ω, then every in a compact subset P of Rk, then the maps can holomorphic map K → C can be approximated, be deformed with continuous dependence on the uniformly on K, by holomorphic maps Ω → C. (By parameter. If the maps parameterized by a compact a holomorphic map K → C we mean a holomorphic subset of P are already holomorphic on S, then function on some open neighborhood of K.) The they may be kept fixed during the deformation. Weierstrass theorem says that if T is a discrete It follows that the inclusion O(S, X) > C(S, X) subset of Ω, then every map T → C extends to a is a weak homotopy equivalence. Here, the spaces holomorphic map Ω → C. O(S, X) of holomorphic maps and C(S, X) of In the formative years of modern complex anal- continuous maps S → X are endowed with the ysis, in the mid-twentieth century, these theorems compact-open topology. were extended to higher dimensions, generalizing Ω Examples. The “classical” examples of Oka to a Stein manifold S. The Oka-Weil approximation manifolds, by renowned work of H. Grauert from theorem replaces the topological condition that K around 1960, are complex Lie groups and their have no holes in S with the subtle, nontopological homogeneous spaces. Among other examples are condition that K be holomorphically convex in S. the complement in Cn of an algebraic or a tame This means that for every x ∈ S \ K, there is a analytic subvariety of codimension at least 2, the holomorphic function f on S with |f (x)| > sup |f |. K complement in complex projective space of a The Cartan extension theorem, on the other hand, subvariety of codimension at least 2, Hopf mani- generalises T to a closed complex subvariety of folds, Hirzebruch surfaces, and the complement S and says that every holomorphic map T → C of a finite set in a complex torus of dimension at extends to a holomorphic map S → C. least 2. A is Oka if and only We usually consider these theorems as results if it is not hyperbolic. Our understanding of the about Stein manifolds, and of course they are, but geography of Oka manifolds is poor. For example, we can also view them as expressing properties it is an open problem to determine which compact of the target C. We can then formulate them for a complex surfaces are Oka. general target. To avoid topological obstructions, Gromov’s Oka Principle. The most important which are not relevant here, we restrict ourselves to very special S, K, and T . sufficient condition for the Oka property to hold CAP and CIP. A complex manifold X satisfies is ellipticity, introduced by Gromov in [2]. It is yet the convex approximation property (CAP) if, when- another way to say that a complex manifold X is ever K is a convex compact subset of Cm for the target of many holomorphic maps from C. More some m, every holomorphic map K → X can be precisely, X is elliptic if there is a holomorphic approximated, uniformly on K, by holomorphic map s : E → X, called a dominating spray, defined maps Cm → X. A complex manifold X satisfies the on the total space of a holomorphic convex interpolation property (CIP) if, whenever T E over X, such that s(0x) = x and s|Ex → X is a is a contractible subvariety of Cm for some m, every submersion at 0x for all x ∈ X. The theorem that holomorphic map T → X extends to a holomorphic ellipticity implies the Oka property is one version map Cm → X. of Gromov’s Oka principle. It is rather easy to see that CIP implies CAP. (This A Stein manifold is elliptic if and only if it is Oka. is not to say that the Cartan extension theorem There are no known examples of Oka manifolds implies the Oka-Weil approximation theorem: the that are not elliptic. So why focus on the Oka proof that CIP implies CAP uses the Oka-Weil property rather than ellipticity? One reason is that theorem.) Forstneriˇc’swork contains a difficult, the Oka property has good functorial properties roundabout proof of the converse; no simple proof that we cannot at present prove or disprove for is known. ellipticity. We define a complex manifold to be Oka if it Model categories. There is abstract homotopy satisfies the equivalent properties CAP and CIP. theory lurking in the background. The author has Oka Properties. There are more than a dozen shown that the category of complex manifolds can other so-called Oka properties that are nontrivially be embedded into a model category in the sense of equivalent to CAP and CIP. If S is a Stein manifold D. Quillen (roughly speaking, a category in which and X is an Oka manifold, then every continuous one can do homotopy theory) in such a way that a

January 2010 Notices of the AMS 51 manifold is cofibrant if and only if it is Stein, and fibrant if and only if it is Oka. Applications. The fact that the complement in Cn, n ≥ 2, of an algebraic subvariety of codi- mension at least 2 is Oka is a crucial ingredient Professor of in the proof of Forster’s conjecture by Y. Eliash- berg and Gromov, and by J. Schürmann. For each Mathematics n ≥ 2, Forster’s conjecture identifies the smallest N(n) = n+[n/2]+1 such that every n-dimensional The Department of Mathematics Stein manifold embeds into CN(n). at ETH Zurich (www.math.ethz.ch) B. Ivarsson and F. Kutzschebauch have used Gro- mov’s Oka principle, as developed by Forstneriˇc,to invites applications for a faculty solve the holomorphic Vaserstein problem posed by position in mathematics. Applica- Gromov [3]. They show that the inclusion of the tions in the fields of algebra and of holomorphic functions on a contractible Stein topology are particularly welcome. manifold into the ring of continuous functions We are looking for candidates with does not induce an of K1-groups, whereas by Grauert’s Oka principle it does induce an outstanding research record and an isomorphism of K0-groups. Here, amusingly, a proven ability to direct research Gromov’s Oka principle reveals a limitation of a work of high quality. Willingness more general Oka principle. to teach at all university levels and to participate in collaborative work References [1] F. Forstneriˇc, Oka manifolds, C. R. Math. Acad. Sci. both within and outside of ETH 347 (2009), 1017–20. Zurich is expected. [2] M. Gromov, Oka’s principle for holomorphic sec- tions of elliptic bundles, J. Amer. Math. Soc. 2 (1989), 851–97. In association with other mem- [3] B. Ivarsson and F. Kutzschebauch, A solution of bers of the Department, the future Gromov’s Vaserstein problem, C. R. Math. Acad. Sci. professor will be responsible for Paris 346 (2008), 1239–43. teaching mathematics courses for students of mathematics, natural sciences and engineering. He or she will be expected to teach under- graduate level courses (German or English) and graduate level courses (English).

Please submit your application to- gether with a curriculum vitae, a list of publications, the names of at least three referees, and a short overview of the research interests to the President of ETH Zurich, Prof. Dr. Ralph Eichler, Raemi- strasse 101, ETH Zurich, 8092 Zurich, , (or via e-mail to [email protected]), no later than April 15, 2010. With a view toward increasing the number of female professors, ETH Zurich specifically encourages qualified female candidates to apply.

52 Notices of the AMS Volume 57, Number 1 Book Review Tools of American Mathematics Teaching, 1800–2000 Reviewed by Andrew G. Bennett

ideas can be rather limiting. In most cases, the Tools of American Mathematics Teaching, chapters look at a limited time period based on 1800–2000 when the tools changed form, rather than following Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts ideas through history. For example, the chapter on Press, July 2008 standardized testing finishes up in the mid-1920s. US$70.00, 440 pages From a museum this makes sense, ISBN-13: 978-0801888144 since the basic form of the exams is now set and a patron won’t see much of anything new looking at additional college entrance exams in glass exhibit With the advent of the calculator and computer, cases. However, leaving off in the mid-1920s hides questions have been raised about whether we the major changes in standardized testing and how should continue to teach mathematics the way it was used during the twentieth century, which we always have, or if we would be better served would easily have fit into the text. Other times by adjusting instruction to take advantage of the the focus on tools leads to overemphasizing or power of these new devices. Tools of American underemphasizing ideas based on whether they Mathematics Teaching makes clear that this is not a created tangible objects rather than their impor- new question. Indeed, the whole notion of teaching tance to mathematics or education. B. F. Skinner the way we always have makes little sense. As this and his theories are discussed since he created a volume makes clear, tools and instruction have visible tool, the Skinner box, but Piaget’s ideas get changed throughout history. only a brief mention since they don’t come with an This volume is a museum exhibit in book form, object to display. This is unfortunate since Piaget’s based in part on a temporary exhibit on “Slates, ideas are more important for understanding the Slide Rules, and Software: Teaching Math in Ameri- current controversies in how to teach mathematics, ca”, at the National Museum of American History including the appropriate use of tools. (part of the Smithsonian Institution). Sections of As you might expect, the chapters can profitably the book focus on tools with a common purpose be browsed in any order, though occasionally (presentation, calculation, measurement, etc.) while references are made to ideas introduced in oth- individual chapters focus on specific types of tools er chapters, not always in order (for instance, (blackboards, slide rules, graph paper, calculators, “Pestalozzian ideals” are mentioned in chapter 1 etc.). The individual chapters provide historical but not defined until chapter 6, with additional context not just for the particular devices but also discussion in chapters 8, 9, and 10). However, for the pedagogical ideas that underlie their use in reading the book through you do get a sense of the the classroom, and sometimes short biographies of broad themes of educational development over the the key figures in their development and adoption. last two centuries, both in general pedagogy and There are many illustrations and the coverage is in specific approaches to mathematics. quite broad. Museums and books are different An interesting aspect of the book is that it beasts, however. The focus on things rather than points out that the tools we take for granted—the Andrew Bennett is professor of mathematics at textbook, the blackboard, graph paper, etc.—all Kansas State University. His email address is have a history, and we used to do without them. [email protected]. Improvements in production and printing made it

January 2010 Notices of the AMS 53 feasible for all children in a school to have their sum. These lead in a straight line to the modern own textbooks. Along with the introduction of the Cuisenaire rods, unifix cubes, and base 10 blocks. large blackboard in place of the hand slate, this As children progress, it is natural to move from made possible new approaches where students counting specific objects to a number frame or worked problems from the book on the board for all abacus. Oddly, the early number frames usually to see. Soon this led to larger (and cheaper) classes featured twelve beads to a wire instead of ten. And, mixing lecture with recitation, where students just as today, there were opponents to “object recited from the book. Some mathematics teachers teaching”. An 1835 pamphlet1 “On the Dangerous recognized the need for a series of textbooks that Tendency to Innovation and Extremes in Education” students could use to build mathematical ideas has much that would fit easily into the current over a series of classes. While America has never math wars, with complaints about textbooks being had an official national curriculum, the common “adapted to please rather than to profit” and worries textbook series have provided the basic outlines that the students would have difficulty later when of a standard curriculum used across the country. studying more abstract topics. In the uniquely American way, this curriculum has Another situation where history repeats itself been shaped as much by entrepreneurs looking to is in the discussion of the metric system. I have profit from book sales as by pedagogical concerns, always found it odd that measurement is usually and the reader will recognize the names of some considered part of the mathematics curriculum, of the early publishers whose companies are still since mathematicians are not experimentalists and sending textbook representatives to visit us today. usually don’t have a talent for measurement. While Cheaper paper and printing also made it feasible I presumed measurement fit into the mathematics to supply school children with prepared graph curriculum because of rounding, it appears it paper. While engineers made use of ruled paper actually entered as an attempt to get students to for surveying and design in the nineteenth century, understand the metric system. Since mathematics this was a specialty product and wasn’t typically has always been taught much more broadly than used in schools until early in the twentieth century. science, it made much more sense to teach the Prepared graph paper made it more reasonable to metric system as a mathematics unit if the goal cover graphical ideas in algebra texts. Given the was to prepare the whole community to adopt a large role graphing plays in algebra classes today, new system. The text shows various demonstration it is striking that the first American algebra text materials that were intended to aid students in to include graphical treatments was published in getting a sense of what a meter or liter or kilogram 1902, when graph paper was available. meant. However, as we know, the big push for the Not all tools led to lasting changes. The overhead metric system in the 1970s was mostly a failure. projector was developed to help nineteenth-century What I didn’t know is that there was an earlier push public lecturers share their slides with a large au- in the 1870s, which was also mostly a failure. The dience eager to hear about expeditions to faraway authors quote a Philadelphia editor in 1882: “Easy lands. While there were hopes that the ability to as it might be to furnish us with rules and sticks use prepared illustrations in class would greatly graduated off in metres and their parts and with improve classroom attention, the biggest advan- measuring glasses and weights accurately made tage the overhead actually delivered was to let … it would be by no means so easy to furnish the teacher face the class. The book devotes a us with the mental standards of reference which chapter to cube root blocks, a dissected cube our English feet, inches, and yards have become, that could be used to illustrate the algebraic after years of intimate knowledge of them.” The identities underlying the standard algorithm for same editorial could have run a century later. The the arithmetic extraction of cube roots. Despite main effect of this early effort to teach the metric these demonstrations, the students still found the system was to solidify measurement as part of process difficult and confusing. Since in practice the mathematical curriculum, and to ensure that one would use and/or tables if a cube students now all head off to school with a ruler, root was needed, and from a theoretical standpoint though for feet instead of centimeters. Perhaps in the Newton-Raphson algorithm had more to offer, 2070 America will finally be ready to convert to the tool and eventually the entire topic would the metric system. disappear from the elementary curriculum. The final section on electronic devices is by Manipulatives for students to use to build con- far the weakest of the book. The authors note ceptual ideas of numbers are often associated with that it is difficult to write a history of electronic recent “reform” curricula, but actually have a long history. The ideas of Pestalozzi and later Montes- 1Winslow Hubbard, On the Dangerous Tendency to Inno- sori on early childhood education supported the vations and Extremes in Education, Tuttle & Weeks, Boston, development of tools to help students visualize MA, 1835. A copy of this work is in vol. 16 of the Benjamin numbers and experiment with different ways of Silliman Miscellaneous Pamphlets, Beinecke Library, Yale combining smaller numbers to make the same University, New Haven, CT.

54 Notices of the AMS Volume 57, Number 1 aids at this time because of the lack of historical perspective. With the focus on tools, there are too many examples covered too quickly to do justice to ASSISTANT PROFESSOR the big ideas. These tools also fit awkwardly in the framework the authors use. Since computers are Department of Mathematics used for both presentation and calculation, they The Department of Mathematics invites applications for a don’t fit neatly into either section. The authors tenure-track position at the Assistant Professor level in the have therefore decided to put electronic devices general area of Modern Analysis, with the appointment to into their own section. This means early teaching begin on August 16, 2010. We are particularly interested in machines and programmed instruction (such as multivariate operator theory and analysis on function spaces the Skinner box) are discussed in chapter 5 while however, we are also interested in other major areas of modern analysis. Candidates must possess a doctoral degree in computer-aided instruction and other natural de- mathematics or a closely related field by August 16, 2010. scendants aren’t discussed until chapter 16. This Experience in teaching and research is expected. section should be where the ideas introduced Applicants should apply online at https://facultyjobs.ua.edu; earlier come together to provide a context for attach a curriculum vita along with a letter of application and understanding the current issues in how we should arrange for three letters of recommendation to be sent to: Chair use tools (or not use tools) in teaching. Unfortu- of the Search Committee, Department of Mathematics, The University of Alabama, Tuscaloosa, AL 35487-0350. nately, the focus on tools rather than ideas gets in Applications will be reviewed on an ongoing basis and will the way of developing such a synthesis. continue to be accepted until the position is filled. For more The writers have done a lot of research, with information about the department and the university visit our eighty-four pages of footnotes for 317 pages of text. website at http://math.ua.edu Their research is historical and not mathematical, The University of Alabama is an Affirmative Action/Equal Opportunity and the only equation in the text is one reference Employer. Applications from women and minorities are encouraged. to f (x, y) = 0. There are a few places where I wish they had included a bit more technical detail. For touching lives example, in the section on the protractor there is a picture of a Ramsden dividing engine capable of marking a large protractor in divisions as small as five seconds. I was intrigued as to how the machine accomplished such a feat, but the text American Mathematical Society offered no discussion of this. However, there was enough historical detail given that it was easy to look up information online to find out how the Lessons in Geometry I. Plane Geometry engine worked. The indexing is well done, and when I did encounter references in one section that Jacques Hadamard I vaguely recalled from another section, I didn’t An international classic that is the foundation find it too hard to track them down. for nearly all textbooks on geometry The book is quite attractive with its many pic- 2008; 330 pages; Hardcover; ISBN: 978-0-8218- tures, though they are all in black and white. It 4367-3; List US$59; AMS members US$47; would be a nice addition to a department common Order code MBK/57 room or undergraduate lounge, particularly given the format that provides a few pages of description Hadamard’s Plane Geometry for many different tools, making it a good book for A Reader’s Companion browsing. For the serious student of the education or educational technology, Mark Saul or even the general history of mathematics, this A reader’s companion to Jacques Hadamard’s volume provides much information unavailable work on plane geometry, offering solutions to problems in the text and ideas for further elsewhere, and, because of that, I believe this is exploration a book that belongs in your university library. A co-publication of the AMS and Education Development However, I find myself unconvinced by the authors’ Center. claim that the history of mathematics education 2009; approximately 353 pages; Hardcover; ISBN: 978-0-8218-4368-0; “is best understood by considering the stories List US$59; AMS members US$47; Order code MBK/70 of specific teaching tools.” Such an approach is better suited to a museum than a book. This is an excellent book about the history of teaching tools, For many more publications of interest, but just a good book on the history of mathematics visit the AMS Bookstore education. www.ams.org/bookstore

January 2010 Notices of the AMS 55 Kalman Receives National Medal of Science

possibilities. The impact of Kalman filtering on all areas of applied mathematics, engineering, and sciences has been tremendous. It is impossible to even begin to enumerate its practical applica- tions. Just as examples of their diversity, one may mention the guidance of the Apollo spacecraft and of commercial airplanes, uses in seismic data processing, nuclear power plant instrumentation, and demographic models, as well as applications in econometrics. “During the 1960s, Kalman was the leader in the development of a rigorous theory of control systems. He formulated and clarified a number of fundamental notions, such as controllability, observability, and minimality, that are nowadays Rudolf Kalman receiving National Medal of Science from central to the theory. During the 1970s, he played President Barack Obama. a major role in the introduction of sophisticated mathematical techniques in the study of linear Rudolf Kalman has received the 2008 National as well as nonlinear systems, in the former area Medal of Science, the highest honor the United pioneering the study of moduli spaces of linear States gives for scientific achievement. President systems and in the latter introducing the view of Barack Obama honored Kalman and eight other internal states as spectra of observation algebras. medalists in an awards ceremony at the White His recent work has concentrated on a system- House on October 7, 2009. theoretic approach to the foundations of The Work of Rudolf Kalman and identification, as well as on classical problems The Notices asked Eduardo Sontag of Rutgers of passive network synthesis.” University, a Ph.D. student of Rudolf Kalman, to Biographical Sketch describe briefly Kalman’s achievements. Sontag writes: Rudolf Kalman was born on May 19, 1930, in “Among Kalman’s early work was the develop- Budapest. He obtained a bachelor’s degree (1953) ment of what is now called the Kalman filter for and a master’s degree (1954) from the Massachu- detection of signals in noise. This revolutionized setts Institute of Technology, and a D. Sci. degree the field of estimation, by providing a recursive ap- (1957) from , all in electrical proach to the filtering problem. Before the advent engineering. of the Kalman filter, most mathematical work was Kalman worked as a research mathematician at based on Norbert Wiener’s ideas, but the ‘Wiener RIAS (the Research Institute for Advanced Study, filtering’ had proved difficult to apply. Kalman’s in Baltimore) from 1958 until 1964. He subse- approach, based on the use of state space tech- quently became a professor at Stanford University niques and a recursive least-squares algorithm, (1964–1971) and later a graduate research profes- opened up many new theoretical and practical sor jointly in the departments of mathematics,

56 NOTICES OF THE AMS VOLUME 57, NUMBER 1 electrical engineering, and industrial and systems engineering at the University of Florida, where About the Cover he also established the Center for Mathematical Creativity issue System Theory, directing it until his retirement in This issue is dedicated to mathematics and 1992. In 1973, he was elected to an ad personam its interaction with art. The peacock’s tail is chair in mathematical system theory at the Eid- intended to represent this symbiosis. genössisches Technische Hochschule in Zürich, The cover photo was taken by mathemati- a position he held until compulsory retirement cian-photographer Geir Arne Hjelle at De Apen- in 1997. heul zoo just outside Apeldoorn, . Kalman is a member of the U.S. National Acad- The cover image was composed using GIMP emy of Sciences, the U.S. of En- (GNU Image Manipulation Program) freeware. gineering, and the American Academy of Arts and See http://www.gimp.org/. The cover con- Sciences. He is also a foreign member of the Hun- cept and design are by Geir Arne Hjelle and garian, French, and Russian Academies of Science Marie Taris. and is the holder of many honorary doctorates. —Steven G. Krantz He was awarded the IEEE Medal of Honor in 1974, the IEEE Centennial Medal in 1984, the Inamori Foundation’s Kyoto Prize in High Technology in 1985, the AMS Steele Prize in 1987, the Richard E. Bellman Control Heritage Award in 1997, and the NAE Charles Stark Draper Prize in 2008.

About the National Medal of Science Awarded annually and administered for the White House by the National Science Foundation, the National Medal of Science celebrated its fiftieth anniversary since being created by statute in 1959. The Medal recognizes individuals who have made outstanding contributions to science and engineering, based on their advanced knowledge in, and contributions to, the biological, behavioral/ social and physical sciences, as well as chemistry, engineering, computing and mathematics. —Allyn Jackson

JANUARY 2010 NOTICES OF THE AMS 57 Mathematics People

Mathematics. He served previously as an assistant and Mahadevan Receives associate professor (1996–2000) in the Department of MacArthur Fellowship Mechanical Engineering at Institute of Technology and as the Schlumberger Professor of Com- L. Mahadevan of is among twenty- plex Physical Systems (2001–2003) in the Department of four new MacArthur for 2009. Each fellow will Applied Mathematics and and a fel- receive a grant of US$500,000 in “no strings attached” low of Trinity College at the . He support over the next five years. holds visiting professorships at the ’s L. Mahadevan uses mathematics to investigate simple- Mathematics Institute and the National Center for Biologi- sounding but complex questions across the physical and cal Sciences in Bangalore, India. biological sciences, such as how cloth folds when draped, The MacArthur Fellows Program awards unrestricted how skin wrinkles, how flags flutter, and how Venus fly- fellowships to talented individuals who have shown ex- traps snap closed. Through his explorations of shape and traordinary originality and dedication in their creative motion in many different material types, sizes, and time pursuits and a marked capacity for self-direction. There frames, Mahadevan strives to identify commonalities of are three criteria for selection of Fellows: exceptional cre- the fundamental nonlinear and nonequilibrium behavior ativity, promise for important future advances based on a driving them. One line of his research considers the re- track record of significant accomplishment, and potential lationship between the biochemistry and mechanics of for the fellowship to facilitate subsequent creative work. structural molecules that form polymers, such as actin, within the cell. These investigations have parallels in his —From a MacArthur Foundation announcement work on the hydrodynamics and elasticity of thin films and sheets (e.g., made of fabric). Mahadevan also consid- ers properties of materials at larger scales, such as cell Bringmann Awarded 2009 shape, adhesion, and migration in developmental biology, avalanche dynamics, or the role of water in determining SASTRA Ramanujan Prize the tensile characteristics of plants. Though he searches Kathrin Bringmann of the University of Cologne and for and elucidates mathematical principles underpinning the has been awarded the 2009 these complex behaviors, his focus remains on developing SASTRA Ramanujan Prize. This annual prize is for out- hypotheses that can be confirmed or rejected empirically standing contributions to areas of mathematics influenced in the lab. The unusually broad scope of his theoretical and by the Indian genius . The age limit experimental investigations defies facile categorization, for the prize has been set at thirty-two because Ramanujan but they are linked by an effort to discover the geometric achieved so much in his brief life of thirty-two years. The and mechanical principles that determine the behavior of prize carries a cash award of US$10,000. complex biological and physical systems. The 2009 SASTRA Ramanujan Prize Citation reads L. Mahadevan received a B.Tech. degree (1986) from as follows: “Kathrin Bringmann is awarded the 2009 the Indian Institute of Technology in Madras, an M.S. SASTRA Ramanujan Prize for her outstanding research on (1987) from the University of Texas at Austin, and an modular forms and mock theta functions, by herself and M.S. (1992) and Ph.D. (1995) from Stanford University. in collaboration with several mathematicians, in which Since 2003 he has been affiliated with Harvard University, important connections between mock theta functions and where he is currently the De Valpine Professor of Applied the theory of modular forms initially observed by Sander

58 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Mathematics People

Zwegers are analyzed and established explicitly, questions Kannan Soundararajan (2005), (2006), Ben concerning asymptotics and congruences are addressed, Green (2007), and (2008). and a comprehensive theory relating holomorphic cusp forms to Maass forms is developed. The prize recognizes —From a SASTRA Ramanujan Prize announcement her outstanding Ph.D. thesis of 2004 dealing with applica- tions of Poincaré series on Jacobi groups, the results of which were published in Mathematische Zeitschrift (2006) Lytchak Awarded von Kaven and the Journal of the London Mathematical Society (2006); her path-breaking paper with Ken Ono in the Annals of Prize Mathematics that builds on work of Sander Zwegers and Alexander Lytchak of Mathematisches Institut, Univer- and shows that Ramanujan’s twenty-two mock sity of Bonn, has been awarded the 2009 von Kaven Prize theta functions are special cases of infinite families of in Mathematics of the von Kaven Foundation, which is weak Maass forms of weight ½; her seminal paper with administered by the Deutsche Forschungsgemeinschaft Ono in Inventiones Mathematicae (2006) in which exact (DFG, German Research Foundation). The prize carries a formulas for the coefficients of one of Ramanujan’s cash award of 10,000 euros (approximately US$15,000). third-order mock theta functions is obtained, the con- Lytchak was honored for his outstanding work in sequence of which is the resolution of the forty-year-old the area of , particularly singular Andrews-Dragonnette conjecture; another landmark paper Riemannian foliations, his major research area. The prize with Ono in the Proceedings of the National Academy of citation says that Lytchak is full of ideas and is versatile, Sciences USA (2007) on lifts of homomorphic cusp forms with strong communication skills. He received his Ph.D. in of half integral weight to harmonic weak Maass forms, 2001 from the University of Bonn and his Habilitation in which leads to an understanding of all of Ramanujan’s 2008. He currently holds a Heisenberg Fellowship. mock theta functions; and her fundamental paper in the The von Kaven prize is funded from the proceeds of the Journal of the American Mathematical Society (2008), with von Kaven Foundation, which was established in December Ono and Robert Rhoades, explaining the Eulerian identi- 2004 by mathematician Herbert von Kaven, who died in ties associated with the mock theta conjectures of George the summer of 2009 at the age of 101. Andrews and Frank Garvan. The prize also recognizes her significant collaborations with Frank Garvan and Karl —From a DFG announcement Mahlburg on partition statistics and quasi-harmonic Maass forms, published in International Mathematics Research Notices (2008); her work with Amanda Folsom and Ono NSF Postdoctoral Fellowships on q-series and weight 3/2 Maass forms, in Compositio Mathematica (2009); her recent work with Sander Zwe- Awarded gers on rank-crank type partial differential equations and The Mathematical Sciences Postdoctoral Research Fel- nonholomorphic Jacobi forms, in Mathematics Research lowship program of the Division of Mathematical Sci- Letters; and her collaboration with Jeremy Lovejoy, which ences (DMS) of the National Science Foundation (NSF) includes their joint paper in International Mathematics awards fellowships each year for postdoctoral research Research Notices (2007) on Dyson’s rank, over partitions in , applied mathematics and opera- and weak Maass forms.” tions research, and statistics. Below are the names of the Kathrin Bringmann was born on May 8, 1977, in Muen- fellowship recipients for 2009, together with their Ph.D. ster, Germany. She passed the State Examinations in institutions (in parentheses) and the institutions at which Mathematics and Theology at the University of Würzburg, they will use their fellowships. Germany, in 2002, and obtained a Diploma in Mathematics David Anderson (), University with top honors at Würzburg in 2003. She then joined the of Washington; Jeffrey Aristoff (Massachusetts Insti- University of Heidelberg, where she received her Ph.D. in tute of Technology), ; Asher Auel 2004 under the direction of Professor Winfried Kohnen. (University of Pennsylvania), Emory University; David From 2004 to 2007 she was Van Vleck Assistant Profes- Ayala (Stanford University), Harvard University; Michael sor at the University of Wisconsin, where she began her Bateman (Indiana University), University of California Los great collaboration with Ken Ono. After briefly serving Angeles; Michael Baym (Massachusetts Institute of Tech- as an assistant professor at the University of Minnesota, nology), Harvard Medical School; Jacob Bernstein (Massa- she recently joined the University of Cologne, Germany, chusetts Institute of Technology), Stanford University; Ian as professor. Earlier this year she was awarded the pres- Biringer (University of Chicago), Yale University; Jonah tigious Krupp Prize, a one-million-euro research grant for Blasiak (University of California Berkeley), University of a five-year period awarded to young professors. Chicago; Mark Blunk (University of California Los Ange- The 2009 SASTRA Ramanujan Prize Committee con- les), University of British Columbia; Christine Breiner sisted of Krishnaswami Alladi (chair), Bruce Berndt, (Johns Hopkins University), Massachusetts Institute of Jonathan Borwein, Dorian Goldfeld, Stephen Milne, Wolf- Technology; Emma Brunskill (Massachusetts Institute gang Schmidt, and Jeffrey Vaaler. Previous recipients of of Technology), University of California Berkeley; Ly- the SASTRA Ramanujan Prize are and ubov Chumakova (), Massachusetts

JANUARY 2010 NOTICES OF THE AMS 59 Mathematics People

Institute of Technology; Julianne Chung (Emory Univer- sity), University of Maryland; Brian Clarke (University of Two Assistant Leipzig), Stanford University; Kevin Costello (Rutgers University), Georgia Institute of Technology; Andrew Professorships in Cotton-Clay (University of California Berkeley), Massa- Mathematics chusetts Institute of Technology; Richard Cudney (Uni- versity of Chicago), Harvard University; Michael Damron (New York University), Princeton University; Matthew The Department of Mathematics Dobson (University of Minnesota), École National des at ETH Zurich (www.math.ethz.ch) Ponts et Chaussees; Xander Faber (Columbia University), invites applications for qualified McGill University; Emily Fox (Massachusetts Institute of John Fran- candidates from all areas of mathe- Technology), University of California Berkeley; cis (Massachusetts Institute of Technology), Northwestern matics. Duties of these positions University; Josh Greene (Princeton University), Columbia include, in addition to research, University; Wei Ho (Princeton University), Harvard Univer- an active participation in teaching sity; Stacy Hoehn (University of Notre Dame), Vanderbilt courses of mathematics for students University; Peter Horn (Rice University), Columbia Uni- of mathematics, natural scien- versity; Valerie Hower (University of Georgia), University Mathew Johnson ces, and engineering. of California Berkeley; (University of Illinois, Urbana-Champaign), Indiana University; Paul Johnson (University of Michigan), Princeton University; Candidates should have a Ph.D. or Kenneth Kamrin (Massachusetts Institute of Technol- equivalent and have demonstrated ogy), Harvard University; Aaron Magid (University of the ability to carry out independent Michigan), University of Maryland; Christopher Manon research work. Willingness to teach (University of Maryland), University of California Berke- Adam Marcus at all university levels and to par- ley; (Georgia Institute of Technology), Yale University; Maksim Maydanskiy (Massachusetts ticipate in collaborative work both Institute of Technology), Stanford University; Aaron within and outside of ETH Zurich is Naber (Princeton University), Massachusetts Institute of expected. The successful candidates Technology; Michael Neilan (University of Tennessee), will teach undergraduate level Louisiana State University; Andrew Obus (University courses (German and English) and of Pennsylvania), Columbia University; Lillian Pierce graduate level courses (English). (Princeton University), Institute for Advanced Study; Joseph Rabinoff (Stanford University), Massachusetts Institute of Technology; Robert Rhoades (University of Assistant professorships have been Wisconsin), Stanford University; Grigor Sargsyan (Uni- established to promote the careers versity of California Berkeley), University of California Los of younger scientists. The initial Angeles; Christopher Schommer-Pries (University of appointment is for four years with California Berkeley), Harvard University; Russell Schwab the possibility of renewal for an (University of Texas at Austin), Carnegie Mellon University; Michael Shulman (University of Chicago), University of additional two-year period. Chicago; Andrew Snowden (Princeton University), Stan- ford University; Noah Snyder (University of California Please submit your applica- Berkeley), Columbia University; Lindsay Stovall (Uni- tion together with a curriculum versity of California Berkeley), University of California Los vitae and a list of publications to Angeles; Peter Tingley (University of California Berkeley), the President of ETH Zurich, Prof. Massachusetts Institute of Technology; David Uminsky Dr. Ralph Eichler, ETH Zurich, (Boston University), University of California Los Angeles; Paul Valiant (Massachusetts Institute of Technology), Raemistrasse 101, 8092 Zurich, University of California Berkeley; Michael Van Valken- Switzerland (or via e-mail to burgh (University of California Los Angeles), University of [email protected]), no California Berkeley; David Vela-Vick (University of Penn- later than February 28, 2010. With a sylvania), Columbia University; Vincent Vu (University of Rachel view toward increasing the number California Berkeley), Carnegie Mellon University; Ward (Princeton University), Courant Institute, New York of female professors, ETH Zurich University; Philip Wood (Rutgers University), University specifically encourages female can- of California Los Angeles. didates to apply. —NSF announcement

60 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Mathematics Opportunities

The mailing address is Division of Mathematical Sciences, Proposal Due Dates at the DMS National Science Foundation, Room 1025, 4201 Wilson The Division of Mathematical Sciences (DMS) of the Na- Boulevard, Arlington, VA 22230. The telephone number tional Science Foundation (NSF) has a number of programs is 703-292-5111. in support of mathematical sciences research and educa- tion. Listed below are some of the programs and their —From the DMS website proposal due dates for the year 2010. Please refer to the program announcement or contact the program director for more information. NDSEG Fellowships As a means of increasing the number of U.S. citizens December 15, 2009 (full proposal): Computational trained in disciplines of military importance in science Mathematics and engineering, the Department of Defense (DoD) awards January 13, 2010 (full proposal): Mathematical Biology National Defense Science and Engineering Graduate January 28, 2010 (full proposal): Scientific Computing (NDSEG) Fellowships each year to individuals who have Research Environments for the Mathematical Sciences demonstrated ability and special aptitude for advanced (SCREMS) training in science and engineering. The fellowships are February 11, 2010 (full proposal): Interdisciplinary awarded for a period of three years for study and research Training for Undergraduates in Biological and Mathemati- leading to doctoral degrees in mathematical, physical, cal Sciences (UBM) biological, ocean, and engineering sciences. Approximately February 20, 2010 (full proposal): Interdisciplinary two hundred fellowships will be awarded in 2010. Grants in the Mathematical Sciences (IGMS) The NDSEG Fellowship Program is open only to appli- June 2, 2010 (full proposal): University-Industry Coop- cants who are citizens or nationals of the United States. erative Research Programs in the Mathematical Sciences NDSEG Fellowships are intended for students at or near June 4, 2010 (full proposal): Research Experiences for the beginning of their graduate studies in science or Undergraduates (REU) engineering. Applicants must have received or be on track June 15, 2010 (full proposal): Workforce Program in to receive their bachelor’s degrees by fall of 2010. Fellows the Mathematical Sciences selected in spring 2010 must begin their fellowship tenure July 22, 2010 (full proposal): Faculty Early Career De- in fall 2010. Fellowships are tenable only at U.S. institu- velopment (CAREER) Program tions of higher education offering doctoral degrees in the August 20, 2010 (letter of intent): Focused Research scientific and engineering disciplines specified. Fellows Groups (FRG) in the Mathematical Sciences will receive full tuition and stipends for 12-month tenures: August 26, 2010 (full proposal): Conferences, Work- US$30,500 for the first year, US$31,000 for the second shops, and Special Meetings in the Mathematical Sciences year, and US$31,500 for the third year. Applications are September 17, 2010 (full proposal): Focused Research encouraged from women, persons with disabilities, and Groups (FRG) in the Mathematical Sciences minorities, including members of ethnic minority groups October 5, 2010 (full proposal): Algebra, Number such as African American, American Indian and Alaska Theory and Combinatorics; Analysis; Foundations Native, Asian, Native Hawaiian and other Pacific Islander, Hispanic, or Latino. For further information see the website http://www. Complete applications must be submitted electronically nsf.gov/funding/pgm_list.jsp?org=DMS&ord=date. by January 4, 2010. Application forms are available online

JANUARY 2010 NOTICES OF THE AMS 61 Mathematics Opportunities at http://ndseg.asee.org/apply_online. For further reporters, researchers, and production assistants in media information, see http://ndseg.asee.org/. organizations. They observe and participate in the process by which events and ideas become news, improve their —From an NDSEG announcement ability to communicate about complex technical subjects in a manner understandable to the public, and increase their understanding of editorial decision making and of National Academies Research how information is effectively disseminated. Each fellow Associateship Programs attends an orientation and evaluation session in Wash- ington DC and begins the internship in mid-June. Fellows The Policy and Global Affairs Division of the National submit interim and final reports to AAAS. A wrap-up ses- Academies is sponsoring the 2010 Postdoctoral and Se- sion is held at the end of the summer. nior Research Associateship Programs. The programs are Mathematical sciences faculty are urged to make their meant to provide opportunities for Ph.D., Sc.D., or M.D. scientists and engineers of unusual promise and ability graduate students aware of this program. The deadline to perform research at more than one hundred research to apply for fellowships for the summer of 2010 is Janu- laboratories throughout the United States and overseas. ary 15, 2010. Further information about the fellowship Full-time associateships will be awarded for research program and application procedures is available on- in the fields of mathematics, chemistry, earth and at- line at http://www.aaas.org/programs/education/ mospheric sciences, engineering, applied sciences, life MassMedia/index.shtml, or applicants may contact sciences, space sciences, and physics. Most of the labora- Stacey Pasco, Manager, Mass Media Program, AAAS Mass tories are open to both U.S. and non-U.S. nationals and to Media Science and Engineering Fellows Program, 1200 both recent doctoral recipients and senior investigators. New York Avenue, NW, Washington, DC 20005; telephone Amounts of stipends depend on the sponsoring labora- 202-326-6441; fax 202-371-9849; email: spasco@aaas. tory. Support is also provided for allowable relocation expenses and for limited professional travel during the org. Further information is also available at http:// period of the award. www.ams.org/government/massmediaann.html and Awards will be made four times during the year: in through the AMS Washington Office, 1527 Eighteenth February, May, August, and November. The deadline for Street, NW, Washington, DC 20036; telephone 202-588- application materials to be postmarked or for electronic 1100; fax 202-588-1853; email: [email protected]. submissions for the February 2010 review is February 1, 2010. Materials for the May review are due May 1, 2010; —AMS Washington Office for the August review, August 1, 2010; and for the No- vember review, November 1, 2010. For further information and application materials, see the National Academies website at http://sites. AWM Essay Contest nationalacademies.org/PGA/RAP/PGA_050491 or con- To increase awareness of women’s ongoing contributions tact Research Associateship Programs, National Research to the mathematical sciences, the Association for Women Council, Keck 568, 500 Fifth Street, NW, Washington, DC 20001; telephone 202-334-2760; fax 202-334-2759; email: in Mathematics (AWM) is holding an essay contest for [email protected]. biographies of contemporary women mathematicians and in academic, industrial, and government —From an NRC announcement careers. The essays will be based primarily on interviews with women who are currently working in mathematical sci- AMS-AAAS Mass Media ences careers. The contest is open to students in the fol- lowing categories: 6th–8th grades, 9th–12th grades, and Summer Fellowship college undergraduates. At least one winning submission The American Association for the Advancement of Science will be chosen from each category. Winners will receive (AAAS) sponsors the Mass Media Science and Engineering a prize, and their essays will be published online at the Summer Fellows Program, through which graduate stu- AWM website. A grand prize winner will have his or her dents work during the summer in major media outlets. The submission published in the AWM Newsletter as well. The AMS provides support each year for a graduate student in deadline for entries is February 27, 2010. the mathematical sciences to participate in the program. In In addition to student entries, organizers are currently past years the AMS-sponsored fellows have held positions seeking women mathematicians to volunteer as the sub- at Scientific American, Business Week, Voice of America, Discovery Channel Online, National Geographic Television, jects of these essays. For more information, see http:// Popular Science, The Chicago Tribune, and Time magazine. www.awm-math.org/biographies/contest.html. Fellows receive a weekly stipend of US$450 plus travel expenses to work for ten weeks during the summer as —From an AWM announcement

62 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Mathematics Opportunities

School), April 16, 2010; the 14th International Departments Again Coordinate on Insurance: Mathematics and Economics, University of Job Offer Deadlines Toronto, June 17–19, 2010; the Sixth World Congress of the Bachelier Society, Toronto Hilton Hotel, June 22–26, A group of mathematical sciences departments has 2010; a Workshop on Fluid Motion Driven by Immersed adopted an agreement to coordinate deadlines for Structures, August 9–13, 2010; and the Conference acceptance of postdoctoral job offers for jobs that on Asymptotic Geometric Analysis and Convexity, Sep- begin in the fall of 2010. The purpose is to ensure that tember 13–17, 2010. applicants do not have to make decisions about job offers Please see http://www.fields.utoronto.ca/ before the results of the National Science Foundation (NSF) programs/scientific/ for information on all activities postdoctoral fellowship competition are announced. The at the Institute. agreement applies only to offers of postdoctoral positions and not tenure-track positions, and only to applicants who —Fields Institute announcement are two years or less past the Ph.D. The departments have agreed not to require these applicants to decide about a job offer before Friday, February 5, 2010. The NSF has PIMS IGTC Fellowship for already agreed that it will complete its review of applica- tions by January 26, 2010, at the latest. The list of partici- 2010–2011 pating departments, together with additional information, The PIMS International Graduate Training Centre in Math- may be found on the Web at http://www.ams.org/ ematical Biology invites applicants for the IGTC fellowship employment/postdoc-offers.html. for the 2010-2011 academic year. Fellowships are worth up to C$20,000 a year and are for students working in math- —AMS Career Services announcement ematical biology at the Pacific Institute for Mathematical Sciences (PIMS) universities (Alberta, British Columbia, Calgary, Regina, Saskatchewan, Simon Fraser and Victoria). News from the Fields Institute If you have excellent students, either potential students applying now or current students, please encourage them The 2010 winter/spring thematic program at the Fields to apply. There are also opportunities for students to Institute will be Quantitative Finance: Foundations and enroll in the programme. All students can benefit from Applications. Four workshops will be held: IGTC graduate training elements including annual re- Workshop on Foundations of Mathematical Finance, search summits, summer courses, new term-time courses, January 11–15, 2010 seminars, graduate student exchanges, and international Workshop on Computational Methods in Finance, visitors. March 22–24, 2010 Full details of the IGTC Programme and application Workshop on Financial Econometrics, April 23–24, 2010 process can be found at: http://www.pims.math.ca/ Workshop on Financial Derivatives and Risk Manage- scientific/igtc/mathematical-biology. If you have ment, May 24–28, 2010 further questions, please contact the IGTC coordina- The Distinguished Lecture Series will be held April 21– tor, Maryna Yaskina ([email protected]. 23, 2010. Darrell Duffie (Stanford University) will deliver ca) or Programme Director Mark Lewis (mlewis@math. the lecture series. ualberta.ca). The Coxeter Lectures will be delivered by Nicole El Application deadline is February 5, 2010. Karoui (École Polytechnique, Paris) at a date to be an- nounced. —PIMS announcement There will also be (at least) five Industrial-Academic Forums on dates to be announced: Financial Engineer- ing and Insurance Mathematics, Emissions Trading and Other Market-Based Solutions to Environmental Problems, Structured Products, Systemic Stability and Liquidity, and Hedge Funds. See http://www.fields.utoronto.ca/ programs/scientific/09-10/finance for up-to-date information on this thematic program. Future thematic programs include Mathematics of Drug Resistance in Infectious Diseases (summer 2010); Asymptotic Geometric Analysis (fall 2010); Dynamics and Transport in Disordered Systems (winter/spring 2011); Discrete Geometry and Applications (fall 2011); and Galois Representations (winter/spring 2012). Other future activities at the Institute include: Na- than and Beatrice Keyfitz Lectures in Mathematics and the Social Sciences, Robert C. Merton (Harvard Business

JANUARY 2010 NOTICES OF THE AMS 63 Inside the AMS

a member of the Golden Key International Honor Society. Trjitzinsky Memorial Awards She enjoys teaching and has been tutoring in mathematics, Presented English, Spanish, and the sciences since high school. She is involved in activities with her church, where she assisted The AMS has made awards to seven undergraduate stu- as a peer leader with Local Life Teen. She is interested in dents through the Waldemar J. Trjitzinsky Memorial Fund. creative writing, , and piano. The fund is made possible by a bequest from the estate University of California Santa Barbara: David Hassan. of Waldemar J., Barbara G., and Juliette Trjitzinsky. The Hassan is a member of Phi Beta Kappa and carries a double will of Barbara Trjitzinsky stipulates that the income from major in pure mathematics and physics. He is a returning the bequest should be used to establish a fund in honor student completing his studies after a tour of duty as an of the memory of her husband to assist needy students Arabic interpreter with the U.S. Marine Corps in Iraq. in mathematics. Jackson State University: Mantatisi S. Walker. For the 2009 awards, the AMS chose seven geographi- Walker is a senior majoring in mathematics education. cally distributed schools to receive one-time awards of After graduating she plans to teach high school math- US$3,000 each. The mathematics departments at those ematics in the Mississippi Delta while attending graduate schools then chose students to receive the funds to assist school. She is a SIMET (Students Investing in Mathematics, them in pursuit of careers in mathematics. The schools Engineering, and Technology) counselor, a member of the were selected in a random drawing from the pool of AMS Mississippi Association of Educators and the National institutional members. Education Association, a volunteer tutor for various high Waldemar J. Trjitzinsky was born in Russia in 1901 and schools, and a participant and presenter at the National received his from the University of California, Council of Teachers of Mathematics conference. Walker’s Berkeley, in 1926. He taught at a number of institutions career goals include directing a mathematics program before taking a position at the University of Illinois, for high school students and becoming a professor at a Urbana-Champaign, where he remained for the rest of local college. his professional life. He showed particular concern for Kenyon College: Jonathan Jordan Edwards. Ed- students of mathematics and in some cases made personal wards is deeply interested in both mathematics and theo- efforts to ensure that financial considerations would not retical physics and has conducted undergraduate research hinder their studies. Trjitzinsky was the author of about in both fields. He is a recipient of an Ernest F. Hollings sixty mathematics papers, primarily on quasi-analytic Undergraduate Scholarship from the National Oceanic and functions and partial differential equations. A member of Atmospheric Administration to cover a summer internship the AMS for forty-six years, he died in 1973. at a NOAA facility, where he hopes to be involved in mod- Following are the names of the selected schools for eling storm systems and working with satellites. He has 2009, the names of the students receiving Trjitzinsky lived in Pakistan and Indonesia as well as the United States, awards, and brief biographical sketches of the students. and he plans to enter a Ph.D. program upon graduation. California State University, Fresno: Ana-Cristina Cerda Smith College: Zehui Chen. Chen completed high Jimenez. Jimenez is a first-generation college student who school in Guangdong, China, and is a mathematics major intends to continue on into graduate school. She began with a concentration in statistics. She spent the summer of college as a chemistry major, then switched to mathemat- 2007 at the London School of Economics and Political Sci- ics in her second semester. Last summer she worked as ence studying the economy of China. As a special studies part of a summer research project in . She is project in statistical consulting, Chen used mathematical

64 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Inside the AMS skills to improve the quality of an industrial product. She says, “This experience showed me the value that math- •Mathematics at the Na- ematics contributes to industry. In the future, I look for- tional SACNAS conference. The ward to increasing my mathematical skills and ultimately 2009 conference of the Society using my expertise to solve real-world problems.” for the Advancement of Chica- Truman State University: Kendall O. Brown. Brown nos and Native Americans in lives in St. Charles, Missouri, and is a sophomore studying Science (SACNAS), held in Dal- for both a bachelor’s degree in mathematics and a master’s las, Texas, in October, included degree in mathematics education. She is president of her math institutes, sessions, and presentations by graduate and Kappa Mu Epsilon chapter and a student member of the undergraduate students in math- Missouri State Teachers Association. Her goal is to be a ematics. The AMS hosted an ex- master teacher of mathematics. hibit and ran Who Wants to Be a University of Vermont: Alison L. Ashe. Ashe is a na- Mathematician, a highlight of the tive of Buffalo, New York. She worked in technical theater conference. Read about math- until she returned to full-time study to pursue a bachelor’s ematics on the program and see at http:// degree in applied mathematics, minoring in computer sci- www.ams.org/ams/sacnas2009-mtg.html. ence and business administration. After graduation she Lecture. Dana Randall of the Georgia plans to enter graduate study in industrial engineering. • Institute of Technology gave the 2009 Arnold Ross Lecture, “Domino Tilings of the Chessboard: An Introduction to —Elaine Kehoe Sampling and Counting”, at the National Science Center/ Fort Discovery in Augusta, Georgia, in October. The AMS ran Who Wants to Be a Mathematician after the lecture. Erdo˝s Memorial Lecture Read about the events at http://www.ams.org/wwtbam/ The Erdo˝s Memorial Lecture is an annual invited address archive/arl2009.html. named for the prolific mathematician Paul Erdo˝s (1913– —Annette Emerson and Mike Breen 1996). The lectures are supported by a fund created by AMS Public Awareness Officers Andrew Beal, a Dallas banker and mathematics enthusiast. [email protected] The Beal Prize Fund, now US$100,000, is being held by the AMS until it is awarded for a correct solution to the Beal Conjecture (see http://www.math.unt.edu/~mauldin/ beal.html). At Beal’s request, the interest from the fund is used to support the Erdo˝s Memorial Lecture. Deaths of AMS Members The Erdo˝s Memorial Lecturer for 2009 was Jeffrey Charles E. Aull, professor emeritus, College of Science Lagarias of the University of Michigan, who delivered a at Virginia Tech, died on July 4, 2009. Born on September lecture titled “From Apollonian packings to Fibo- 1, 1927, he was a member of the Society for 51 years. nacci numbers” at the Spring Central Section Meeting at Silvio Aurora, retired professor, Rutgers University, the University of Illinois at Urbana-Champaign in March Newark, died on October 11, 2001. Born on February 25, 2009. The Erdo˝s Memorial Lecturer for 2010 will be Doron 1925, he was a member of the Society for 56 years. Zeilberger of Rutgers University, who will deliver the lec- Frank S. Beckman, retired, CUNY Graduate Center, ture at the 2010 Spring Southeastern Section Meeting in died on October 16, 2009. Born on April 10, 1921, he was Lexington, Kentucky, in March 2010. a member of the Society for 62 years. William A. Beyer, Los Alamos National Laboratory, —AMS announcement died on August 16, 2008. Born on November 9, 1924, he was a member of the Society for 56 years. Stanley J. Bezuszka, S.J., retired professor, Boston From the AMS Public College, died on December 27, 2008. Born on January 26, 1914, he was a member of the Society for 54 years. Awareness Office Gary S. Bloom, professor, City College, CUNY, died •2010 Calendar of Mathematical Imagery. The 2010 on September 6, 2009. Born on March 30, 1940, he was a calendar includes selected works from the Mathe- member of the Society for 29 years. matical Imagery collection (http://www.ams.org/ John W. Brace, professor emeritus, University of mathimagery)—computer-generated work, crochet, ori- Maryland, died on December 26, 2008. Born on January gami, sculpture, painting, and more. Download the pdf of 19, 1926, he was a member of the Society for 57 years. the calendar at This Mathematical Month, http://www. Wray G. Brady, retired professor, Slippery Rock Uni- ams.org/thismathmonth, or request the printed calendar versity, died on November 17, 2008. Born on July 20, 1918, by email to [email protected], subject line “2010 calen- he was a member of the Society for 61 years. dar”, with your mailing address. The supply is limited, so James L. Brooks, retired professor, Villanova Univer- please limit your request to three copies so others may sity, died on September 12, 2009. Born on July 7, 1930, he also have the opportunity to have a copy. was a member of the Society for 53 years.

JANUARY 2010 NOTICES OF THE AMS 65 Inside the AMS

Hugh D. Brunk, professor, Oregon State University, Chuan C. Hsiung, retired professor, Lehigh University, died on July 19, 2009. Born on August 22, 1919, he was a died on May 6, 2009. Born on February 15, 1915, he was member of the Society for 67 years. a member of the Society for 63 years. Alton T. Butson, Lake Worth, FL, died in September William J. Jaffe, professor emeritus, New Jersey In- 1997. Born on February 18, 1926, he was a member of the stitute of Technology, died on September 25, 2000. Born Society for 44 years. on March 22, 1910, he was a member of the Society for Joel Carroll, Poway, CA, died on November 18, 2005. 54 years. Born on April 8, 1924, he was a member of the Society Harold H. Johnson, retired professor from Trinity for 50 years. University, died on September 25, 2009. Born on Septem- Charles M. Chambers, past president, Lawrence Tech- ber 20, 1929, he was a member of the Society for 52 years. nological University, died on May 20, 2009. Born on June L. Wayne Johnson, from Brownsburg, IN, died on July 22, 1941, he was a member of the Society for 42 years. 22, 1989. Born on October 21, 1901, he was a member of Robert L. Davis, from Chapel Hill, NC, died on October the Society for 53 years. 12, 2009. Born on May 23, 1919, he was a member of the James T. Joichi, retired professor, University of Min- Society for 56 years. nesota, died on October 11, 2008. Born on May 22, 1927, Albert L. Deal III, professor, Virginia Military Institute, he was a member of the Society for 52 years. died on August 1, 2009. Born on August 31, 1937, he was Erwin O. Kreyszig, retired professor, Carleton Univer- a member of the Society for 49 years. sity, died on December 12, 2008. Born on January 6, 1922, Ranjit S. Dhaliwal, professor emeritus, University of he was a member of the Society for 51 years. Calgary, died on October 10, 2007. Born on June 21, 1930, Margaret M. LaSalle, assistant professor from Loui- he was a member of the Society for 40 years. siana, died on August 12, 2009. Born on July 8, 1923, she Leroy J. Derr, retired professor, University of New was a member of the Society for 43 years. Orleans, died on November 7, 2004. Born on January 31, Henry S. Lieberman, Waban, MA, died on May 14, 1926, he was a member of the Society for 54 years. 2009. Born on September 26, 1940, he was a member of H. P. Edmundson, professor emeritus, University of the Society for 42 years. Maryland, died on July 9, 2009. Born on December 13, Robert A. Liebler, professor, Colorado State Univer- 1921, he was a member of the Society for 56 years. sity, died on July 19, 2009. Born on October 23, 1944, he Sheldon E. Elliott, chancellor, Phillips University, was a member of the Society for 40 years. died on January 6, 2009. Born on July 9, 1925, he was a John J. MacDonnell, S.J., associate professor emeri- member of the Society for 52 years. tus, College of the Holy Cross, died on July 29, 2004. Born Benjamin Epstein, professor emeritus, Technion-Israel on March 28, 1927, he was a member of the Society for Institute of Technology, died on December 22, 2004. Born 43 years. on March 5, 1918, he was a member of the Society for 65 Nathaniel Macon, retired professor, American Uni- years. versity, died on November 26, 2001. Born on November Klaus G. Fischer, professor, George Mason University, 15, 1926, he was a member of the Society for 51 years. died on July 2, 2009. Born on November 12, 1943, he was Milton Rosenberg, from Delray Beach, FL, died on Sep- a member of the Society for 40 years. tember 14, 1999. Born on May 2, 1934, he was a member Israel M. Gelfand, professor, Rutgers University, died of the Society for 37 years. on October 5, 2009. Born on August 20, 1913, he was a Benjamin L. Schwartz, Vienna, VA, died on March 7, member of the Society for 45 years. 1998. Born on January 11, 1926, he was a member of the Leonard Gillman, emeritus professor, University of Society for 51 years. Texas at Austin, and former president of the MAA, died on Richard See, from Seattle, WA, died on January 16, April 7, 2009. Born on January 8, 1917, he was a member 2002. Born on December 3, 1923, he was a member of the of the Society for 67 years. Society for 42 years. George H. Handelman, professor emeritus at Rens- G. Olof Thorin, from Sweden, died on February 14, selaer Polytechnic Institute, died on September 13, 2008. 2004. Born on February 23, 1912, he was a member of the Born on March 24, 1921, he was a member of the Society Society for 51 years. for 64 years. Hiroshi Uehara, professor, Oklahoma State Univer- Melvin Henriksen, professor of mathematics emeritus sity, died on November 29, 1997. Born on March 7, 1923, at Harvey Mudd College, died on October 14, 2009. Born he was a member of the Society for 38 years. on February 23, 1927, he was a member of the Society Clarence J. Wallen, S.J., professor emeritus, Loyola for 59 years. Marymount University, died on October 28, 2000. Born Anna S. Henriques, chairman emeritus, College of on October 16, 1916, he was a member of the Society for Santa Fe, died on November 28, 2004. Born on August 44 years. 20, 1905, she was a member of the Society for 74 years. Kenneth G. Wolfson, professor emeritus, Rutgers Abraham A. Hochman, , Spain, died on June University, New Brunswick, died on October 7, 2000. Born 30, 2008. Born on March 27, 1952, he was a member of on November 21, 1924, he was a member of the Society the Society for 8 years. for 49 years.

66 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Reference and Book List

The Reference section of the Notices January 4, 2010: Applications 371-9849; email: [email protected]. is intended to provide the reader for NDSEG Fellowship Program. See Also see http://www.ams.org/ with frequently sought information in “Mathematics Opportunities” in this government/massmediaann.html or an easily accessible manner. New issue. contact the AMS Washington Office, information is printed as it becomes January 10, 2010: Applications 1527 Eighteenth Street, NW, Wash- available and is referenced after the for AAUW Educational Foundation ington, DC 20036; telephone 202- first printing. As soon as information Fellowships and Grants. See http:// 588-1100; fax 202-588-1853; email: is updated or otherwise changed, it www.aauw.org/fga/fellowships_ [email protected]. will be noted in this section. grants/selected.cfm or contact January 15, 2010: Applications for the AAUW Educational Foundation, Jefferson Science Fellows Program. See Contacting the Notices Selected Professions Fellowships, http://www7.nationalacademies. The preferred method for contacting Dept. 60, 301 ACT Drive, Iowa City, org/jefferson/ or email: jsf@nas. the Notices is electronic mail. The IA 52243-4030; telephone: 800-326- edu or telephone 202-334-2643. editor is the person to whom to send 2289; email: [email protected]. January 28, 2010: Proposals for articles and letters for consideration. January 15, 2010: Applications National Science Foundation Sci- Articles include feature articles, me- for AMS-AAAS Mass Media Sum- entific Computing Research Envi- morial articles, , mer Fellowships. See http://www. ronments for the Mathematical Sci- opinion pieces, and book reviews. aaas.org/programs/education/ ences (SCREMS). See http://www. The editor is also the person to whom MassMedia/, or contact Stacey Pasco, nsf.gov/pubs/2007/nsf07502/ to send news of unusual interest Manager, Mass Media Program, AAAS nsf07502.htm. about other people’s mathematics Mass Media Science and Engineering February 1, 2010: Applications research. Fellows Program, 1200 New York for February review for National The managing editor is the person Avenue, NW, Washington, DC 20005; Academies Postdoctoral and Senior to whom to send items for “Math- telephone 202-326-6441; fax 202- Research Associateship Program. ematics People”, “Mathematics Op- portunities”, “For Your Information”, Where to Find It “Reference and Book List”, and “Math- A brief index to information that appears in this and previous issues of the Notices. ematics Calendar”. Requests for AMS Bylaws—November 2009,Where p. 1320 to Find It permissions, as well as all other — inquiries, go to the managing editor. AMSA brief Email index Addressesto informationFebruary that appears 2009, in this p. 278and previous issues of the Notices. The electronic-mail addresses are AMS EthicalBylaws —Guidelines—November 2005,June/July p. 1239 2006, p. 701 [email protected] in the AMS OfficersEmail Addresses 2008 and— 2009February Updates 2006,— p.May 251 2009, p. 651 case of the editor and notices@ AMS OfficersEthical Guidelines— and CommitteeJune/July Members— 2006, p.October 701 2009, p. 1133 ams.org in the case of the managing ConferenceAMS Officers Board2005 andof the2006 Mathematical (Council, Executive Sciences— Committee,September 2009, editor. The fax numbers are 314- Publicationsp. 977 Committees, Board of Trustees)—May 2006, p. 604 935-6839 for the editor and 401- AMSIMU ExecutiveOfficers and Committee— CommitteeDecember Members— 2009,October p. 1465 2006, p. 1076 331-3842 for the managing editor. ConferenceInformation forBoard Notices of the Authors— MathematicalJune/July Sciences— 2009, p. 749September 2006, Postal addresses may be found in the p. 911 masthead. Mathematics Research Institutes Contact Information—August 2009, Informationp. 854 for Notices Authors—June/July 2006, p. 696 Upcoming Deadlines MathematicsNational Science Research Board— InstitutesJanuary 2010, Contact p. 68 Information—August 2006, p. 798 December 15, 2009: Applications New Journals for 2008—June/July 2009, p. 751 for AMS Epsilon Fund grants. See NRCNational Board Science on Mathematical Board—January Sciences 2006, p.and 62 Their Applications—March http://www.ams.org/outreach/ 2009,New Journals p. 404 for 2004—June/July 2006, p. 697 epsilon.html or contact the AMS NRC MathematicalBoard on Mathematical Sciences Education Sciences Board—and TheirApril Applications— 2009, p. 511 March Membership and Programs Depart- NSF2006, Mathematical p. 369 and Physical Sciences Advisory Committee—February ment, telephone: 800-321-4267, ext. 2009,NRC Mathematical p. 278 Sciences Education Board—April 2006, p. 488 4170; email: [email protected]. ProgramNSF Mathematical Officers and for Physical Federal Sciences Funding Advisory Agencies— Committee—OctoberFebruary 2009, December 15, 2009: Nominations p.2006, 1126 p. 255(DoD, DoE); December 2007, p. 1359 (NSF); December 2009, for the International Mathematical Programp. 1464 (NSF Officers Mathematics for Federal Education) Funding Agencies—October 2006, Union (IMU) Chern Medal Award. p.Program 1072 (DoD, Officers DoE); for December NSF Division 2006 p.of 1365 Mathematical (NSF) Sciences— See http://www.mathunion.org/ StipendsNovember for 2009, Study p. 1313 and Travel—September 2006, p. 913 fileadmin/IMU/Prizes/Chern/.

JANUARY 2010 NOTICES OF THE AMS 67 Reference and Book List

See “Mathematics Opportunities” in ciateship Program. See “Mathematics Mark R. Abbott this issue. Opportunities” in this issue. Dean and Professor February 1, 2010: Applications May 1, 2010: Applications for the College of Oceanic and Atmospheric for AWM Travel Grants and Mentor- fall 2010 program of the Christine Sciences ing Travel Grants. See http://www. Mirzayan Science and Technology Pol- Oregon State University awm-math.org/travelgrants.html; icy Graduate Fellowship program of telephone: 703-934-0163; email: awm@ the National Academies. See http:// Dan E. Arvizu awm-math.org; or contact Association sites.nationalacademies.org/ Director and Chief Executive for Women in Mathematics, 11240 PGA/policyfellows/index.htm or National Renewable Energy Waples Mill Road, Suite 200, Fairfax, contact The National Academies Chris- Laboratory (NREL) VA 22030. tine Mirzayan Science and Technology February 5, 2010: Applications for Policy Graduate Fellowship Program, Barry C. Barish (Consultant) Math for America Fellowship Program. 500 Fifth Street, NW, Room 508, Wash- Linde Professor of Physics Emeritus See http://www.mathforamerica. ington, DC 20001; telephone: 202- Director, Laser Interferometer org/. 334-2455; fax: 202-334-1667; email: Gravitational-Wave Observatory February 5, 2010: Applications for [email protected]. (LIGO) PIMS IGTC Fellowship for 2010–2011. May 1, 2010: Applications for California Institute of Technology See “Mathematics Opportunities” in AWM Travel Grants. See http:// this issue. www.awm-math.org/travelgrants. Steven C. Beering (Chair) February 15, 2010: Applications html; telephone: 703-934-0163; or President Emeritus for Enhancing Diversity in Graduate email: [email protected]. The Purdue University Education (EDGE) Summer Program. postal address is: Association for See http://www.edgeforwomen. Women in Mathematics, 11240 Wa- Camilla P. Benbow org/?page_id=5. ples Mill Road, Suite 200, Fairfax, VA Patricia and Rodes Hart Dean of Education and Human February 15, 2010: Applications 22030. Development for Institute for Pure and Applied June 1, 2010: Applications for Peabody College of Education and Mathematics (IPAM) Research in In- NSF’s Enhancing the Mathematical Human Development dustrial Projects for Students (RIPS) Sciences Workforce in the Twenty- Vanderbilt University undergraduate summer research pro- First Century (EMSW21) program. See gram. See http://www.ipam.ucla. http://www.nsf.gov/pubs/2005/ Ray M. Bowen edu. nsf05595/nsf05595.htm. President Emeritus February 15, 2010: Applications August 1, 2010: Applications for Texas A&M University for AMS-AAAS Congressional Fel- August review for National Acad- lowship. See http://www.ams.org/ emies Postdoctoral and Senior Re- John T. Bruer government/congressfellowann. search Associateship Program. See President html or contact the AMS Washing- “Mathematics Opportunities” in this James S. McDonnell Foundation ton Office, telephone: 202-588-1100; issue. St. Louis, Missouri email: [email protected]. October 1, 2010: Applications for February 27, 2010: Entries for AWM Travel Grants. See http:// G. Wayne Clough AWM Essay Contest. See “Mathemat- www.awm-math.org/travelgrants. Secretary ics Opportunities” in this issue. html; telephone: 703-934-0163; Smithsonian Institution April 15, 2010: Applications for email: [email protected]; or contact fall 2010 semester of Math in Mos- Association for Women in Mathemat- A. Cordova cow. See http://www.mccme.ru/ ics, 11240 Waples Mill Road, Suite President mathinmoscow or write to: Math in 200, Fairfax, VA 22030. Purdue University Moscow, P.O. Box 524, Wynnewood, November 1, 2010: Applications PA 19096; fax: +7095-291-65-01; for November review for National Kelvin K. Droegemeier email: [email protected]. For informa- Academies Postdoctoral and Senior Associate Vice President for tion on AMS scholarships see http:// Research Associateship Program. Research www.ams.org/employment/ See “Mathematics Opportunities” in Regents’ Professor of Meteorology mimoscow.html or write to: Math in this issue. and Weathernews Chair Moscow Program, Membership and University of Oklahoma Programs Department, American National Science Board Mathematical Society, 201 Charles The National Science Board is the Patricia D. Galloway (Vice Chair) Street, Providence RI 02904-2294; policymaking body of the National Chief Executive Officer email: [email protected]. Science Foundation. Listed below are Nielsen-Wurster Group, Inc. May 1, 2010: Applications for May the current members of the NSB. For Seattle, Washington review for National Academies Post- further information, visit the website doctoral and Senior Research Asso- http://www.nsf.gov/nsb/.

68 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Reference and Book List

José-Marie Griffiths Thomas N. Taylor ISBN 978-03068-1580-5. (Reviewed Dean Roy A. Roberts Distinguished September 2008.) School of Information and Professor The Best of All Possible Worlds: Library Science Department of Ecology and Mathematics and Destiny, by Ivar University of North Carolina, Evolutionary Biology Ekeland. University of Chicago Press, Chapel Hill Curator of Paleobotany in the October 2006. ISBN-13: 978-0-226- Natural History Museum and 19994-8. (Reviewed March 2009.) Esin Gulari Biodiversity Research Center The Calculus of Friendship: What a Dean of Engineering and Science University of Kansas Teacher and Student Learned About Clemson University Life While Corresponding About Math, Richard F. Thompson by Steven Strogatz. Princeton Uni- Elizabeth Hoffman (Consultant) Keck Professor of Psychology versity Press, August 2009. ISBN-13: Executive Vice President and and Biological Sciences 978-06911-349-32. Provost University of Southern California The Calculus Wars: Newton, Leib- niz, and the Greatest Mathematical Arden L. Bement Jr. Clash of All Time, by Jason Socrates Louis J. Lanzerotti (member ex officio) Bardi. Thunder’s Mouth Press, April Distinguished Research Professor Director 2007. ISBN-13: 978-15602-5992-3. of Physics National Science Foundation (Reviewed May 2009.) Center for Solar Terrestrial Chez les Weils (French), by Sylvie Research Craig R. Robinson Weil. Buchet-Chastel, January 2009. New Jersey Institute of Technology Executive Officer and Acting ISBN-13: 978-22830-236-93. Office Director Crossing the Equal Sign, by Alan I. Leshner National Science Board Marion D. Cohen. Plain View Press, Jan- Chief Executive Officer uary 2007. ISBN-13: 978-18913-866-95. American Association for the The contact information for the Crocheting Adventures with Hy- Advancement of Science Board is: National Science Board, perbolic Planes, by Daina Taimina. National Science Foundation, 4201 A K Peters, March 2009. ISBN-13: 978- G. P. Peterson Wilson Boulevard, Room 1225N, 15688-145-20. President Arlington, VA 22230; telephone 703- Decoding the Heavens: A 2,000- Georgia Institute of Technology 292-7000; World Wide Web http:// Year-Old Computer—and the Cen- www.nsf.gov/nsb/. tury-Long Search to Discover Its Douglas D. Randall Secrets, by Jo Marchant. Da Capo Professor of Biochemistry and Book List Press, February 2009. ISBN-13: 978- Thomas Jefferson Fellow The Book List highlights books that 03068-174-27. Director, Interdisciplinary Plant have mathematical themes and are The Drunkard’s Walk: How Ran- Group aimed at a broad audience potentially domness Rules Our Lives, by Leonard University of Missouri including mathematicians, students, Mlodinow. Pantheon, May 2008. ISBN- and the general public. When a book 13: 978-03754-240-45. Arthur K. Reilly has been reviewed in the Notices, a Embracing the Wide Sky: A Tour Senior Director reference is given to the review. Gen- Across the Horizons of the Human Cisco Systems, Inc. erally the list will contain only books Mind, by Daniel Tammet. Free Press, published within the last two years, January 2009. ISBN-13: 978-14165-696- Diane L. Souvaine though exceptions may be made in 95. Professor and Chair, Computer cases where current events (e.g., the Ernst Zermelo: An Approach to His Science death of a prominent mathematician, Life and Work, by Heinz-Dieter Ebb- Tufts University coverage of a certain piece of math- inghaus. Springer, April 2007. ISBN-13 ematics in the news) warrant drawing 978-3-540-49551-2. (Reviewed August Jon C. Strauss readers’ attention to older books. Sug- 2009.) Interim Dean of Engineering gestions for books to include on the list Gaming the Vote (Why Elections Texas Tech University may be sent to notices-booklist@ Aren’t Fair and What We Can Do About ams.org. It), by William Poundstone. Hill and Kathryn D. Sullivan *Added to “Book List” since the Wang, February 2009. ISBN-13: 978- Director list’s last appearance. 08090-489-22. Battelle Center for Mathematics The Housekeeper and the Profes- and Science Education Policy The Archimedes Codex: How a sor, by Yoko Ogawa. Picador, February John Glenn School of Public Affairs Medieval Prayer Book Is Revealing the 2009. ISBN-13: 978-03124-278-01. Ohio State University True Genius of Antiquity’s Greatest How Math Explains the World: A Scientist, by Reviel Netz and William Guide to the Power of Numbers, from Noel. Da Capo Press, October 2007. Car Repair to Modern Physics, by

JANUARY 2010 NOTICES OF THE AMS 69 Reference and Book List

James D. Stein. Collins, April 2008. Sourcebook, by Victor J. Katz et al. Princeton University Press, May 2009. ISBN-13: 978-00612-417-65. Princeton University Press, July 2007. ISBN-13: 978-06910-495-57. How to Think Like a Mathemati- ISBN-13: 978-0-6911-2745-3. Recountings: Conversations with cian: A Companion to Undergradu- The Millenium Prize Problems, ed- MIT Mathematicians, edited by Joel ate Mathematics, by Kevin Houston. ited by James Carlson, Arthur Jaffe, Segel. A K Peters, January 2009. ISBN- Cambridge University Press, March and . AMS, June 2006. 13: 978-15688-144-90. 2009. ISBN-13: 978-05217-197-80. ISBN-13: 978-08218-3679-8. (Re- Rock, Paper, Scissors: Game Theory Leonhard Euler and His Friends: viewed December 2009.) in Everyday Life, by Len Fisher. Basic Switzerland’s Great Scientific Expatri- More Mathematical Astronomy Books, November 2008. ISBN-13: 978- ate, by Luis-Gustave du Pasquier (trans- Morsels, by Jean Meeus. Willmann- 04650-093-81. lated by John S. D. Glaus). CreateSpace, Bell, 2002. ISBN 0-943396743. Sacred Mathematics: Japanese Tem- July 2008. ISBN: 978-14348-332-73. The Numbers Behind NUMB3RS: ple Geometry, by Fukagawa Hidetoshi and Tony Rothman. Princeton Univer- Lewis Carroll in Numberland: His Solving Crime with Mathematics, by sity Press, July 2008. ISBN-13: 978-0- Fantastical Mathematical Logical Life: Keith Devlin and Gary Lorden. Plume, 6911-2745-3. An Agony in Eight Fits, by Robin Wil- August 2007. ISBN-13: 978-04522- *Sphere Packing, Lewis Carroll, and son. W. W. Norton & Company. ISBN-13: 8857-7. (Reviewed March 2009.) , by . Cambridge 978-03930-602-70. The Numbers Game: The Common- University Press, July 2009. ISBN: 978- *Mathematicans Fleeing from Nazi sense Guide to Understanding Numbers 0521756075. Germany: Individual Fates and Global in the News, in Politics, and in Life, by Impact, by Reinhard Siegmund- Strange Attractors: Poems of Love Michael Blastland and Andrew Dilnot. and Mathematics, edited by Sarah Schultze. Princeton University Press, Gotham, December 2008. ISBN-13: 978- July 2009. ISBN 978-0-691-14041-4. Glaz and JoAnne Growney. A K Pe- 15924-042-30. ters, November 2008. ISBN-13: 978- *The Mathematical Mechanic: Us- The Numerati, by Stephen Baker. ing Physical Reason to Solve Problems, 15688-134-17. (Reviewed September Houghton Mifflin, August 2008. ISBN- by Mark Levi. Princeton University 2009.) 13: 978-06187-846-08. (Reviewed Press. ISBN: 978-0691140209. Super Crunchers: Why Thinking- October 2009.) Logic’s Lost Genius: The Life of by-Numbers Is the New Way to Be Our Days Are Numbered: How Smart, by Ian Ayres. Bantam, August Gerhard Gentzen, by Eckart Menzler- Mathematics Orders Our Lives, by 2007. ISBN-13: 978-05538-054-06. Trott, Craig Smorynski (translator), Jason Brown. McClelland and Stewart, (Reviewed April 2009.) Edward R. Griffor (translator). AMS- April 2009. ISBN-13: 978-07710-169- Tools of American Math Teaching, LMS, November 2007. ISBN-13: 978-0- 67. 1800–2000, by Peggy Aldrich Kidwell, 8218-3550-0. Out of the : Setting Math- Amy Ackerberg-Hastings, and David Mathematicians of the World, Unite!: ematics Free, by Robert Kaplan and Lindsay Roberts. Johns Hopkins Uni- The International Congress of Math- Ellen Kaplan. , versity Press, July 2008. ISBN-13: 978- ematicians: A Human Endeavor, by January 2007. ISBN-13: 978-0-19514- 0801888144. (Reviewed in this issue.) Guillermo P. Curbera. A K Peters, March 744-5. (Reviewed June/July 2009.) The Unfinished Game: Pascal, Fer- 2009. ISBN-13: 978-15688-133-01. mat, and the Seventeenth-Century Mathematics and Common Sense: A Passion for Discovery, by Peter Letter That Made the World Modern, A Case of Creative Tension, by Philip J. Freund. World Scientific, August 2007. ISBN-13: 978-9-8127-7214-5. by Keith Devlin. Basic Books, Sep- Davis. A K Peters, October 2006. ISBN tember 2008. ISBN-13: 978-0-4650- 1-568-81270-1. (Reviewed June/July Picturing the Uncertain World: How to Understand, Communicate, and 0910-7. 2009.) What Is a Number?: Mathematical Mathematics Emerging: A Source- Control Uncertainty Through Graphi- cal Display, by Howard Wainer, Prince- Concepts and Their Origins, by Rob- book 1540–1900, by Jacqueline Stedall. ert Tubbs. Johns Hopkins University ton University Press, April 2009. Oxford University Press, November Press, December 2008. ISBN-13: 978- ISBN-13: 978-06911-375-99. 2008. ISBN-13: 978-01992-269-00. 08018-901-85. Plato’s Ghost: The Modernist Trans- Mathematics in Ancient Iraq: A What’s Happening in the Math- formation of Mathematics, by Jeremy Social History, by Eleanor Robson. ematical Sciences, by Dana Macken- Gray. Princeton University Press, Sep- Princeton University Press, August zie. AMS, 2009. ISBN-13: 978-08218- tember 2008. ISBN-13: 978-06911- 2008. ISBN-13: 978-06910-918-22. 447-86. 361-03. Mathematics in India, by Kim Why Does E=mc2? (And Why Should Plofker. Princeton University Press, The Princeton Companion to Math- We Care?), by Brian Cox and Jeff January 2009. ISBN-13: 978-06911- ematics, edited by Forshaw. Da Capo Press, July 2009. 206-76. (June Barrow-Green and Imre Leader, ISBN-13: 978-03068-175-88. Mathematics in 10 Lessons: The associate editors). Princeton University Zeno’s Paradox: Unraveling the Grand Tour, by Jerry P. King. Pro- Press, November 2008. ISBN-13: 978- Ancient Mystery Behind the Science metheus Books, May 2009. ISBN: 978- 06911-188-02. (Reviewed November of Space and Time, by Joseph Mazur. 1-59102-686-0. 2009.) Plume, March 2008 (reprint edition). The Mathematics of , Meso- Pythagoras’ Revenge: A Mathe- ISBN-13: 978-0-4522-8917-8. potamia, China, India, and Islam: A matical Mystery, by Arturo Sangalli.

70 NOTICES OF THE AMS VOLUME 57, NUMBER 1 AMERICAN MATHEMATICAL SOCIETY Mathematics Advanced Study Semesters (MASS)

Department of Mathematics of the Penn State University runs a yearly Assistant Professor of semester-long intensive program for Quantitative Finance undergraduate students seriously interested in pursuing career in The Department of Mathematics mathematics. MASS is held during at ETH Zurich (www.math.ethz.ch) the fall semester of each year. For invites applications for an assis- most of its participants, the pro- tant professorship in Quantitative gram is a spring board to graduate Finance. Duties of this position schools in mathematics. The par- include an active participation in ticipants are usually juniors and se- teaching students of mathema- niors. tics, natural sciences, and engineer- ing. The candidate is expected to The MASS program consists of engage in excellent innovative three core courses (4 credits each), mathematical research related to Seminar (3 credits) and Colloquium mathematical finance and insur- (1 credit), fully transferable to the ance, for example computational participants’ home schools. The and/or statistical and/or probabilis- TEXTBOOK core courses offered in 2010 are: tic aspects of quantitative finance, Differential equations from an alge- insurance and risk management. Computational braic perspective (N. Higson), Dynamics, mechanics and geometry Candidates should have a Ph.D. or Topology equivalent and have demonstrated (M. Levi), the ability to carry out independ- An Introduction Function Field Arithmetic (M. Pa- ent research work. Willingness to Herbert Edelsbrunner, pikian). Duke University, Durham, teach at all university levels, to col- Applications for fall semester NC, and Geomagic, Research laborate with colleagues as well as Triangle Park, NC, and John of 2010 are accepted now. representatives from industry are expected. The new professor will be L. Harer, Duke University, Financial : Durham, NC expected to teach undergraduate Successful applicants are awarded level courses (German or English) This text offers a combina- Penn State MASS Fellowship which and graduate level courses (Eng- tion of topics in geometry, reduces their tuition to the in-state lish). topology and algorithms, level. Applicants who are US citi- in a manner showing how zens or permanent residents receive Assistant professorships have been the fields benefit from one NSF MASS Fellowship which cov- established to promote the careers another. It develops all the ers room and board, travel to and of younger scientists. The initial background of both the from Penn State and provides ad- appointment is for four years with mathematical and algorithmic ditional stipend. Applicants with the possibility of renewal for an aspects of computational outstanding previous record are additional two-year period. topology from first principles. awarded additional MASS Merit It builds intuition by relating Fellowship. Participants who sig- Please submit your application the material to situations in together with a curriculum vitae nificantly exceed expectations dur- to the different walks of life. and a list of publications ing the program will be awarded President of ETH Zurich, Prof. Dr. MASS Performance Fellowships at Ralph Eichler, ETH Zurich, Raemi- 2010; 241 pages; Hardcover; ISBN: the end of the semester. strasse 101, 8092 Zurich, Switzer- 978-0-8218-4925-5; List US$59; AMS members US$47; Order code MBK/69 For complete information, see land (or via e-mail to faculty- http://www/math/psu.edu/mass [email protected]), no later e-mail to [email protected] than February 28, 2010. With a For many more or call (814)865-8462 view toward increasing the number publications of interest, of female professors, ETH Zurich visit the AMS Bookstore specifically encourages qualified www.ams.org/bookstore female candidates to apply. Mathematics Calendar

January 2010 year J. Brendle, A. Dow, S. D. Friedman and M. Magidor will each give a tutorial) and a research track, where research and work in progress * 25–February 5 Periodic approximation in dynamics, Centro di Ri- may be presented. cerca Matematica Ennio De Giorgi, Pisa, Italy. Description: The Dynamical Systems School on Periodic Approxima- Information: More information, registration deadline, etc. is available tions in will focus on the study of periodic approxima- on the website http://winterschool.eu. tions as a tool to understand the ergodic properties of deterministic February 2010 dynamical systems, and as a method of construction of examples (and counter-examples) of ergodic behavior, especially in dynamics * 8–12 YMIS 10 - Young Mathematicians in Segovia, Segovia, Spain. related to quasi-periodic motion, such as perturbations of completely Description: This is the sixth edition of the school Young Mathema- integrable systems, KAM theory, Arnol’d diffusion theory, quasi-peri- ticians in Segovia. YMIS is mostly intended for Ph.D. students and odic cocycles, Schrodinger equation, 1-dimensional complex dynam- young postdocs working on algebraic geometry, singularities or com- ics around elliptic xed points, etc. The topics included in the courses mutative algebra. YMIS 10 will consist of four courses: Course 1 by cover areas of dynamics that have been experiencing a growing ac- Norbert A’Campo (Universität Basel), Course 2: “Homological Algebra tivity recently, raising interests among many young researchers and of Gorenstein Singularities” by Ragnar-Olaf Buchweitz (University of doctoral students both in Europe and in the U.S. The school will be Toronto), Course 3: “Algebraic curves and their combinatorics” by Pier- aimed at student and young researchers and its goal is to provide them rette Cassou-Noguès (Université de Bordeaux I) and Course 4: “Zeta with the state of the art ideas and techniques of the included topics. functions and exponential sums: homological and geometric methods” Information: http://tinyurl.com/ykxpemz. by Antonio Rojas León (Universidad de Sevilla). Traditionally, these * 30–February 6 Winter School in Abstract Analysis, section Topol- courses will be supplemented by short talks by junior participants. ogy, Hejnice, Czech Republic. Accommodation/Deadline: Lodging, meals will take place at the Description: The meeting continues the long tradition started by Z. Hotel Las Sirenas in Segovia. Lectures will take place at the Palacio de Frolik. The topology section is devoted to the fields of Set Theory Mansilla, C/Trinidad, 3. Accommodation and food is fully funded. If and Set Theoretic Topology. There is an emphasis on the “school” you are interested in participating please contact ann.lemahieu@ part of the name. The meeting is very informal with plenty of time wis.kuleuven.be. The number of places is limited and deadline devoted to discussions. The talks are split into a tutorial track (this for registration is December 20th.

This section contains announcements of meetings and conferences in the mathematical sciences should be sent to the Editor of the Notices in of interest to some segment of the mathematical public, including ad care of the American Mathematical Society in Providence or electronically hoc, local, or regional meetings, and meetings and symposia devoted to [email protected] or [email protected]. to specialized topics, as well as announcements of regularly scheduled In order to allow participants to arrange their travel plans, organizers of meetings of national or international mathematical organizations. A meetings are urged to submit information for these listings early enough complete list of meetings of the Society can be found on the last page to allow them to appear in more than one issue of the Notices prior to of each issue. the meeting in question. To achieve this, listings should be received in An announcement will be published in the Notices if it contains a call Providence eight months prior to the scheduled date of the meeting. for papers and specifies the place, date, subject (when applicable), and The complete listing of the Mathematics Calendar will be published the speakers; a second announcement will be published only if there are only in the September issue of the Notices. The March, June/July, and changes or necessary additional information. Once an announcement December issues will include, along with new announcements, references has appeared, the event will be briefly noted in every third issue until to any previously announced meetings and conferences occurring it has been held and a reference will be given in parentheses to the month, year, and page of the issue in which the complete information within the twelve-month period following the month of those issues. appeared. Asterisks (*) mark those announcements containing new or New information about meetings and conferences that will occur later revised information. than the twelve-month period will be announced once in full and will In general, announcements of meetings and conferences carry only not be repeated until the date of the conference or meeting falls within the date, title of meeting, place of meeting, names of speakers (or the twelve-month period. sometimes a general statement on the program), deadlines for abstracts The Mathematics Calendar, as well as Meetings and Conferences of or contributed papers, and source of further information. If there is any the AMS, is now available electronically through the AMS website on application deadline with respect to participation in the meeting, this the World Wide Web. To access the AMS website, use the URL: http:// fact should be noted. All communications on meetings and conferences www.ams.org/.

72 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Mathematics Calendar

Information: http://www.singacom.uva.es/oldsite/ disciplinary topic. It is targetted at graduate students, postdocs and segovia10/index.html. researchers working in geometry and physics at an international level. Information: http://www.crm.cat/aclanglands. * 9–13 31st Linz Seminar on Fuzzy Set Theory – “Lattice-Valued Logic and its Applications”, Linz, Austria. March 2010 Description: The 31st Linz Seminar on Fuzzy Set Theory is devoted * 8–12 Graphs and Arithmetic, Centre de recherches mathématiques, to the theme “Lattice-Valued Logic and its Applications”. The goal of Université de Montréal, Pavillon André-Aisenstadt, 2920, Chemin de the seminar is to present and discuss recent advances of mathematical la tour, room 5357, Montréal (Québec) H3T 1J4, Canada. fuzzy logic (understood in broader framework of lattice-valued log- Description: There is a long history of interaction between number ics) and concentrate on its applications in various areas of computer theory and combinatorics. In the past two decades, deep results in au- science, linguistics, and philosophy. tomorphic forms and number theory were used to construct (optimal) Information: http://www.flll.jku.at/div/research/ expanders, which are known to have wide applications in computer linz2010/index.html. science and communication networks. These techniques were gener- * 16–19 17 SIMMAC - International Symposium on Mathematical alized to construct higher dimensional analogues. In the meanwhile, Methods Applied to the Sciences, University of Costa Rica, San Jose, zeta functions for graphs and complexes are better understood. Re- Costa Rica. cent exciting developments in arithmetic combinatorics provide new Description: The SIMMAC is the most important meeting on Applied tools to construct families of good expanders, and these expanders Mathematics in Central America. It takes place every two years in San in turn are used to obtain deep number theoretic results. At the same Jose, Costa Rica, since 1978. time, the concept of expansion is extended in group theory and com- Topics: Data Analysis, Statistics, Classification Optimization, Opera- puter science to a different context. tions Research, Probabilty, Stochastic Processes, Numerical Analysis, Information: http://www.crm.math.ca/Arithmetic10/ Approximation, Modeling, Financial Mathematics, Biomathematics, index_e.php. Dynamical Systems, Optimal Control, Applications. * 22–26 Computer Methods for L-functions and Automorphic Forms, Deadline: For abstracts: November 20, 2009. Full articles: February 19, Centre de recherches mathématiques, Université de Montréal, Pavil- 2010. A refereed selection of full articles presented will be published lon André-Aisenstadt, 2920, Chemin de la tour, room 5357, Montréal at the Revista de Matematica: Teoria y Aplicaciones. (Québec) H3T 1J4, Canada. Information: http://www.cimpa.ucr.ac.cr/simmac/. Description: For years, computers have also played a key role in in- vestigating the most central questions in the analytic theory of auto- * 18–20 International Conference on Partial Differential Equations, morphic forms such as the existence of Maass wave forms. Recently, University of Poitiers, France. a team of researchers, including M. Rubinstein (Waterloo) and W. Description: The conference is dedicated to Professor Michel Chipot Stein (Seattle), has embarked on an ambitious collaborative effort to on the occasion of his 60th . systematically gather vast amounts of data concerning, among other Information: http://www-math.univ-poitiers.fr/ things, automorphic forms on higher rank groups. This effort is part icpde2010/. of a three year (2008-2011) NSF funded Focused Research Group (FRG) * 22–26 Magma 2010 Conference on p -adic L-functions, Centre de grant dealing with L-functions and automorphic forms. The FRG effort recherches mathématiques, Université de Montréal, Pavillon André- is sure to generate challenges and new questions for people work- Aisenstadt, 2920, Chemin de la tour, room 5357, Montréal (Québec) ing both on the theoretical and the experimental side of the subject, H3T 1J4, CANADA. as well as gathering valuable data that will be precious in suggesting Description: This workshop is being run under the auspices of the conjectures or revealing new lines of enquiry. MAGMA Computer Algebra Group (University of Sydney), and is de- Information: http://www.crm.math.ca/Computer10. voted to computational aspects of the the theory of p-adic L-functions. * 26–28 CoNE Revisited: Celebrating the Inspirations of Michael O. This topic has a rich history both in itself and in relation to global Albertson, Smith College, Northampton, Massachusetts. L-functions. It is only recently that the ability to explore various con- Description: A mathematics research conference will be held in mem- jectures has become practical. An explicit example is with p -adic vari- ory of Michael O. Albertson, March 26–28, 2010, at Smith College, ants of Stark’s conjectures, which have been investigated at least in Northampton, MA, USA. The conference is entitled “CoNE Revisited: the abelian case. In some contexts, the computations have truly acted Celebrating the Inspirations of Michael O. Albertson” and focuses as an “experimental science”, in that the final refinements of the con- on his areas of research interest, graph theory, combinatorics, and jectures were largely aided by the numerical data. discrete geometry. With Professor Ruth Haas of Smith and Profes- Information: http://www.crm.umontreal.ca/NT2010. sor Karen Collins (Smith’81) of Wesleyan, Professor Albertson ran at * 22–March 5 Advanced Course on for Func- Smith, from 1992 until 2001, a series of CoNE (Combinatorists of New tion Fields of Positive Characteristic, Centre de Recerca Matemàtica ) conferences, whose open, collaborative, and diverse style Apartat 50 E-08193, Bellaterra, Spain. we to emulate in this memorial conference. All are welcome to Titles: Curves and Jacobians over function fields. On main conjectures attend the talks and social events. Please send any questions to Prof. in geometric Iwasawa theory and related conjectures. Arithmetic of Joan P. Hutchinson at [email protected]. gamma, zeta, multizeta values in function fields. A cohomology for Information: Visit http://www.math.smith.edu/cone/ MikeAlbertsonConference.html. function fields arithmetic, and applications. Information: http://www.crm.cat/acarithff. April 2010 * 22–March 5 Second International School on Geometry and Phys- * 5–9 PDEs, relativity and nonlinear waves, Granada, Spain. ics. Geometric Langlands and , Centre de Recerca Description: The mathematical work concerned with or inspired by Matemàtica, Apartat 50 E-08193, Bellaterra, Spain. General Relativity has increased substantially over the years and is Description: The geometric Langlands correspondence lies at the core still expanding, thanks to the wide variety of interesting and chal- of one of the most significant current interactions between geometry lenging problems that General Relativity can offer in several distinct and physics, integrating far-reaching discoveries and conjectures areas of Mathematics, for example PDEs, Geometry and Numerical originating in physics, geometry, and arithme- Analysis. Fundamental open questions in General Relativity, such as tic. This advanced school is designed to deliver training on this inter- the stability of Kerr, the formation and structure of Black Holes and

JANUARY 2010 NOTICES OF THE AMS 73 Mathematics Calendar

the Cosmic Censorship Conjecture, require for their understanding a Description: The development of efficient ( time) algo- deep analysis of the global behavior of solutions to the Einsten equa- rithms for counting the number of points on varieties over finite fields tions. This conference brings together leading experts on General represents a highly attractive area of application, in part because Relativity/non-linear wave equations and will cover topics of current it relies on sophisticated mathematical theories like the étale and and future research in these fields. p-adic cohomology theories whose development was a cornerstone of Information: http://www.ugr.es/~kinetic/rel. number theory in the second half of the 20th century. The workshop will be devoted to recent advances in this area and its applications. * 6–10 Workshop on Iwasawa Theory over Function Fields of Char- Information: http://www.crm.math.ca/Points10/index_e. acteristic p , Centre de Recerca Matemàtica Apartat 50 E-08193, Bel- php. laterraSpain. Scientific Committee: Francesc Bars (Universitat Autònoma de Bar- * 21–23 Bone Tissue: Hierarchical Simulations for Clinical Applica- celona), Gebhard Böckle (Universität Duisburg-Essen), David Burns tions, Institute for Pure and Applied Mathematics (IPAM), UCLA, Los (King’s College of London), David Goss (Ohio State University), Ignazio Angeles, California. Longhi (Università di Milano), Douglas Ulmer (Georgia Institute of Organizing Committee: Maria-Grazia Ascenzi (UCLA Orthopedic Technology), Fabien Trihan (University of Nottingham), Xavier Xarles Hospital), John S. Adams (UCLA Orthopedic Hospital), Elena Cherkaev (Universitat Autònoma de Barcelona). (University of Utah), Paul Dechow (Texas A&M Baylor College of Den- Tentative List of Speakers: Anglès, Bruno, Laboratoire de tistry), Eve Donnelly (Hospital for Special Surgery), Gwendolen Reilly Mathématiques Nicolas Oresme; Bandini, Andrea, Università di Pisa; (University of Sheffield). Burns, David, King’s College London; Pablos Romo, Fernando, Univer- Aim: To bring together orthopedic surgeons, clinicians, system biolo- sidad de Salamanca; Pál, Ambrus, Imperial College London; Popescu, gists, mechanical and software engineers, and applied mathematicians Cristian D., University of California at San Diego; Tan, Ki-Seng, Na- to share the latest findings and formulate a plan to develop the next tional Taiwan University; Thakur, Dinesh S., University of Arizona; generation of three-dimensional multi-scale virtual rendering of bone Ulmer, Douglas, Georgia Institute of Technology; Yasuda, Seidai, tissue able to address specific clinical issues. University of Kyoto. Application/Registration: Registration form is available at: http:// Information: http://www.crm.cat/wkiwasawa. www.ipam.ucla.edu/programs/bone2010. Early registration closes Jan. 15, 2010. Residents and junior investigators, and women, * 6–June 25 Trimester in Combinatorics and Control: Workshop, underrepresented minorities, and individuals with disabilities are en- School, Advanced Course, Research in Teams, and International couraged to apply. Scholarships will be awarded to the first author of Conference, Madrid and Zaragoza, Spain. the nine most meritorious abstracts. Focus: The role of combinatorial Hopf algebras at the interface of geo- Information: http://www.ipam.ucla.edu/programs/ metric control theory, algebraic combinatorics, and geometric numeri- bone2010/. cal integration. April 6–9, 2010, Madrid: Workshop. April 12–16, 2010, Zaragoza, School: Targeted at graduate and postdoctoral students May 2010 in control, computation and combinatorics. April 19–June 18, 2010, * 3–7 Second International Workshop on Zeta Functions in Algebra Madrid, Research in Teams: 2-4 researchers each work collaboratively and Geometry, Universitat de les Illes Balears, Palma de Mallorca, on projects for periods of 2-4 weeks. May, 2010, Madrid: Advanced Spain. Course “Modern Algebraic Combinatorics and its Applications to Con- Description: The conference will focus on zeta functions in algebra trol Theory”: Targeted at Ph.D. students. June 21–25, 2010, Madrid, and geometry. Among the main topics to be covered are: 1) Arithme- International Conference: Summarizing current research results and tic and geometric aspects of local, topological and motivic zeta func- redefining future research objectives. Grant support for travel and tions, 2) Poincaré series of valuations, 3) Zeta functions of groups, subsistence is pending. Researchers in the early stages of their careers, rings and representations, 4) Prehomogeneous vector spaces and their including advanced graduate students, especially from traditionally zeta functions, 5) Height zeta functions, 6) Computation of zeta func- underrepresented groups, are encouraged to apply for support. tions and applications. Information: http://dftuz.unizar.es/coco2010. Scientific Committee: A. Campillo (Spain), J. Denef (), F. * 12–16 Advanced Course and Workshop on Drinfeld Modules and Grunewald (Germany), S. M. Gusein-Zade (Russia), M. Larsen (USA), I. L-functions, Centre de Recerca Matemàtica Apartat 50 E-08193, Bel- Luengo (Spain), Y. Tshinkel (USA), A. Yukie (Japan). laterra, Spain. Organizing Committee: A. Melle-Hernández (Spain), W. Veys (Bel- Scientific Committee: Francesc Bars (Universitat Autònoma de Bar- gium), W. A. Zúñiga-Galindo (México). celona), Gebhard Böckle (Universität Duisburg-Essen), David Burns Local Organizing Committee: L l. Huguet (Chair), A. Campillo, G. (King’s College of London), David Goss (Ohio State University), Ignazio Cardona, M. González-Hidalgo, A. Mir (Spain). Longhi (Università di Milano), Douglas Ulmer (Georgia Institute of Information: http://www.singacom.uva.es/oldsite/ Technology), Fabien Trihan (University of Nottingham), Xavier Xarles seminarios/cartel.jpg. (Universitat Autònoma de Barcelona). Advanced Course’s Tentative List of Speakers: Goss, David, Ohio June 2010 State University at Columbus. * 3–5 12th Chico Topology Conference, Chico, California. Workshop’s Tentative List of Speakers: Böckle, Gebhard, Universität Description: Researchers at all levels are invited to present 20-min- Duisburg-Essen; Chang, Chieh-Yu, National Center for Theoretical Sci- ute contributed talks in any area of topology. To apply, please send a ences (NCTS); Consani, Caterina, Johns Hopkins University; Gekeler, title and abstract to Thomas Mattman (email: TMattman@CSUChico. Ernst-Ulrich, Universität des Saarlandes; Papanikolas, Matthew, Texas edu) by May 1, 2010. A&M University; Papikian, Mihran, The Pennsylvania State University; Invited speakers: Alejandro Illanes (UNAM, Mexico); Marcus March Pellarin, Federico, Université ; Taelman, Lenny, Universit- (CSU, Sacramento); Chris Mouron (Rhodes College, Memphis); and eit Leiden; Thakur, Dinesh S., University of Arizona. Ramin Naimi (Occidental College, LA). Information: http://www.crm.cat/wkacdrinfeld. Information: http://www.csuchico.edu/~tmattman/CTC. * 19–23 Counting Points: Theory, Algorithms and Practice, Centre de html. recherches mathématiques, Université de Montréal, Pavillon André- * 8–9 2010 Clay Research Conference, Institut Henri Poincaré, Paris, Aisenstadt, 2920, Chemin de la tour, room 5357, Montréal (Québec), France. H3T 1J4 Canada. Information: http://www.claymath.org.

74 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Mathematics Calendar

* 22–July 2 RMMC 2010: Conservation Laws and Applications, Uni- * 13–17 5th International Conference on Origami in Science, Math- versity of Wyoming, Laramie, Wyoming. ematics and Education (5OSME), Singapore Management University, Description: Conservation Laws (or balance laws) are systems of par- Singapore, Singapore. tial differential equations which arise naturally as models for a variety Description: Provides a platform for researchers, educators and art- of physical phenomena (e.g., fluid dynamics, magneto-hydrodynamics, ists to share and explore new ideas at the crossroads of origami, sci- combustion, oil recovery, and nonlinear elasticity). The primary focus ence, technology, mathematics, education and art. Conference: (Tues- of this summer program will be on recent developments in our under- day July 13; Thursday July 15). The conference starts with an evening standing of such equations. Beginning with a rapid tutorial phase, the reception on Tuesday, followed by two days of concurrent sessions aim of the program will be to expose participants to current areas of covering origami in mathematics, science, engineering, education, art active research and to help prepare them to pursue open problems and design. Professor Erik Demaine and Dr. Robert J. Lang will pres- in the field. The program will touch on both theoretical and compu- ent keynote lectures during the conference. Convention: (Friday July tational aspects of conservation laws, and application areas (old and 16; Saturday July 17). Following the conference is a two-day origami new) in which conservation laws play a central role will be highlighted. convention, which includes folding classes, free folding sessions, an Speakers: H. Kristian Jenssen (Penn State University), James Ross- exhibition and more! manith (University of Wisconsin-Madison), Benjamin Texier (Univer- Information: http://www.origami-usa.org/5osme. site Paris-Diderot (Paris 7)). * 15–30 XIII Summer Diffiety School, Santo Stefano del Sole (Avellino), Sponsors: Rocky Mountain Mathematics Consortium. NSF and IMA Italy. Funding possible. Description: The aim of this permanent school is to introduce under- Deadline: For applications/abstracts of talks: April 1, 2010. graduate and Ph.D. students in Mathematics and Physics as well as Information: http://math.uwyo.edu/rmmc/2010; Gregory Lyng, post-doctoral researchers in a recently emerged area of Mathematics [email protected], A. Duane Porter, [email protected], Depart- and Theoretical Physics: Secondary Calculus. A “diffiety” is a new geo- ment of Mathematics, University of Wyoming, Laramie, WY 82071. For metrical object that properly formalizes the concept of the solution information about Laramie, http://www.laramie.org/. space of a given system of (nonlinear) PDEs, much as an algebraic * 24–27 ACA 2010: Applications of Computer Algebra, Vlora, Albania. variety does with respect to solutions of a given system of algebraic equations. Secondary Calculus is a natural diffiety analogue of the Description: The ACA series of conferences is devoted to promoting standard Calculus on smooth manifolds, and as such leads to a very the applications and development of Computer Algebra and Sym- rich general theory of nonlinear PDEs. It appears that it is this the only bolic Computation. Topics include computer algebra and symbolic natural language of quantum physics, just as the standard Calculus computation in engineering, the sciences, medicine, pure and applied is for classical physics. mathematics, education, communication and computer science. Call Information: http://school.diffiety.org/page3/page0/ for Sessions: We are still accepting proposals to organize sessions at page112/page112.html the conference. Session chairs are expected to organize four or more speakers on a theme consistent with that of the conference. * 27–31 LinStat’2010 - International Conference on Trends and Per- Information: See http://aca2010.info/index.php/ spectives in Linear Statistical Inference, Polytechnic Institute of aca2010/aca2010. Tomar, Portugal. Description: The aim of the conference is to bring together research- July 2010 ers sharing an interest in a variety of aspects of statistics and its appli- * 5–9 Modular Conference: Arithmetic of Modular Forms and Mod- cations and offer them a possibility to discuss current developments ularity Results, Centre de Recerca Matemàtica Apartat 50 E-08193, in these subjects. The format of this meeting will involve plenary Bellaterra, Spain. talks and sessions with contributed talks. The conference will mainly Scientific Committee: Henri Darmon (McGill University, Montreal), focus on a number of topics: estimation, prediction and testing in Fred Diamond (King’s College of London), Luis Dieulefait (Universitat linear models, robustness of relevant statistical methods, estimation de Barcelona), Bas Edixhoven (Leiden University), Victor Rotger (Uni- of variance components appearing in linear models, generalizations versitat Politècnica de Catalunya). to nonlinear models, design and analysis of experiments, including Tentative List of Speakers: Barnet-Lamb, Thomas, Brandeis Uni- optimality and comparison of linear experiments. The work of young versity; Berger, Laurent, École Normale Superieure de Lyon; Böckle, scientists has a special position in the LINSTAT 2010 to encourage Gebhard, Universität Duisburg-Essen; Colmez, Pierre, CNRS; Dettwei- and promote them. The best poster as well as the best talk will be ler, Michael, Universität Heidelberg; Diamond, Fred, King’s College chosen. Prizes will be awarded to graduate students or scientists with London; Dieulefait, Luis, Universitat de Barcelona; Dimitrov, Mladen, a recently completed Ph.D. Prize-winning works will be widely publi- Université Denis-Diderot Paris 7; Harris, Michael, Jussieu, Paris; Katz, cized and promoted by the conference. Nicholas, Princeton University; Paskunas, Vytautas, Universität Biele- Information: http://[email protected]. feld; Ramakrishnan, Dinakar, Caltech University; Serre, Jean-Pierre, August 2010 Collège de France; Tilouine, Jacques, Université de Paris XIII; Wiese, * 15–19 Geometric, Asymptotic, Combinatorial Group Theory with Gabor, Institut für Experimentelle Mathematik. Applications (GAGTA), Centre de recherches mathématiques, Univer- Information: http://www.crm.cat/cmodular. sité de Montréal, Pavillon André-Aisenstadt, 2920, Chemin de la tour, * 11–14 24th European Conference on Operational Research (EURO room 5357, Montréal (Québec), H3T 1J4 Canada. XXIV), FCUL - University of Lisbon, Lisbon, Portugal. Description: This workshop will be devoted to the study of a vari- Description: This large conference is organized by EURO (The Asso- ety of topics in geometric and asymptotic group theory, with special ciation of European O.R. Societies) and APDIO (The Portuguese O.R. emphasis on statistical methods and their applications (in theoreti- Society). All researchers, academicians, practitioners, as well as stu- cal cryptography). We have contributed to the organization of three dents interested in any branch of operational research, mathematical similar conferences: in Manresa (Spain) in 2006, in Dortmund (Ger- modelling or economic analysis are invited to participate in the con- many) in 2007, in New York in March 2008. We plan to gather leading ference and to present their papers. Abstract submission and regis- specialists in various aspects of geometric, asymptotic, and algorith- tration are done online, via the Conference web page. mic group theory. More specifically, the workshop topics will include Deadline: For abstract submission: February 28, 2010. quasi-isometries, isoperimetric functions, function growth, asymp- Information: http://www.euro2010lisbon.org. totic invariants, random walks, algorithmic problems, etc.

JANUARY 2010 NOTICES OF THE AMS 75 Mathematics Calendar

Information: http://www.crm.umontreal.ca/GT2010/ machine”. The idea of the Rips machine comes from Makanin’s algo- index.php/. rithm (or elimination process) for solving equations in free groups. Information: http://www.crm.umontreal.ca/GT2010/index. * 23–27 Topics in Algorithmic and Geometric Group and Semigroup php. Theory, Centre de recherches mathèmatiques, Université de Montréal, Pavillon André-Aisenstadt, 2920, Chemin de la tour, room 5357, Mon- * 10–15 International Conference in Systems Biology (ICSB), Edin- tréal (Québec) H3T 1J4 Canada. burgh International Conference Centre, The Exchange, Edinburgh, Description: During the past 20 years, geometric group theory has EH3 8EE, . developed many different facets, including relations with geometry, Description: The leading international conference in Systems Biology, topology, analysis, and logic. The new, more geometric, perspectives covering all aspects of the field. This conference is held annually at- have enabled rapid progress on many of these fronts. A tremendous tracting up to 1000 participants from across the globe and provides solidification of previously disparate results has also occurred. In al- a ideal platform for catalysing international collaboration and show- gorithmic group theory, in recent years, more and more interconnec- casing the latest developments in the field. tions between computer science and classical group and semigroup Information: http://www.icsb2010.org.uk/. theory have been discovered. Automata theory has motivated the * 11–15 Equations and First-order Properties in Groups, Centre de definition of new classes of groups, for instance, automaton groups recherches mathématiques, Université de Montrèal, Pavillon André- and automatic groups. Techniques from rewriting theory, data com- Aisenstadt, 2920, Chemin de la tour, room 5357 Montréal (Québec) pression, and automata theory are used in order to solve more ef- H3T 1J41 Canada ficiently word problems as well as other computational problems in Description: Solving equations is one of the main topics in mathemat- (semi)group theory. The program of the workshop will capitalize on ics. A more general and more difficult problem is to describe which this recent surge of activity in both areas. formulas of the first-order logic hold in a given group. Recent works on Information: http://www.crm.umontreal.ca/GT2010/index. the Tarski’s problems (Kharlampovich, Miasnikov, Sela) opened a new php. direction of research called now “Algebraic geometry over groups”. We are going to discuss some methods and techniques used for the solu- * 30–September 3 Complexity and Group-based Cryptography, Centre tion of these problems, and developments in the algebraic geometry de recherches mathématiques, Université de Montréal, Pavillon André- for groups, Lie Algebras, and other algebraic systems. Aisenstadt, 2920, Chemin de la tour, room 5357, Montréal (Québec) Information: http://www.crm.umontreal.ca/GT2010/index. H3T 1J4 Canada. php. Description: Building a solid mathematical foundation for the use of infinite groups in cryptography inevitably involves operating with various asymptotic and statistical aspects of infinite groups, and this is where modern group theory finds its important applications. We The following new announcements will not be repeated until the criteria in the next to the last paragraph at the bottom of plan to invite specialists in group and number theory, computer sci- the first page of this section are met. ence, and cryptography. Information: http://www.crm.umontreal.ca/GT2010/index. March 2011 php. * 14–June 17 Navigating Chemical Compound Space for Materials September 2010 and BioDesign, Institute for Pure and Applied Mathematics (IPAM), * 2–4 Moduli spaces, Institut de Recherche Mathématique Avancée, UCLA, Los Angeles, California. University of Strasbourg, France. Overview: This long program will bring together senior as well as Description: The focus is on moduli spaces. The conference is part of junior researchers of diverse scientific communities, which are in- the series “Encounters between mathematicians and theoretical physi- volved in addressing the question of how to best navigate chemical cists”. There will be survey lectures and specialized talks. compound space, such that they can discuss current bottlenecks with Speakers: Louis Funar (Grenoble), (Toronto), Dieter each other and, in particular, with the applied mathematics commu- Kotschick (Muenchen), Kirill Krasnov (Nottingham), Andrei Losev nity. It is expected to lead to fruitful collaborations where all par- ticipants benefit largely from mathematical insights on their specific (ITEP, Moscow), Feng Luo (Rutgers U.) Nikita Nekrasov (IHES), Ser- optimization and design problems. gei Oblezin (ITEP, Moscow), Jean-Marc Schlenker (Toulouse), Sergei Organizing Committee: Anatole von Lilienfeld, Jean-Loup Faulon, Tabachnikov (Penn. State), Richard Wentworth (Maryland). William Hart, Kendall Houk, Peter Jones, Steven Lustig, Tamar Seide- Organizers: Vladimir Fock (email: [email protected]) and man, Mark Tuckerman. Athanase Papadopoulos (email: [email protected]). Application: An application form is available at: http://www.ipam. Information: http://www-irma.u-strasbg.fr/ ucla.edu/programs/ccs2011. Applications for individual work- spip.php?article915. shops will be posted on individual workshop home pages. Encourag- October 2010 ing the careers of women and minority mathematicians and scientists is an important component of IPAM’s mission and we welcome their * 4–9 Group Actions and Dynamics, Centre de recherches mathéma- applications. tiques, Université de Montréal, Pavillon André-Aisenstadt, 2920, Che- Information: http://www.ipam.ucla.edu/programs/ min de la tour, room 5357, Montréal (Québec) H3T 1J4 Canada. ccs2011/. Description: In his seminal book “Trees”, Serre laid down the funda- mentals of the theory of groups acting freely on simplicial trees. In the following Serre’s novel approach unified several geometric, algebraic, and combinatorial methods of group theory into a unique powerful tool, known today as Bass-Serre Theory. Topologists became interested in R-trees with the work of Morgan and Shalen (1985) which generalized parts of Thurston’s Geometrization Theorem. A joint effort of several researchers culminated in a description of finitely generated groups acting freely on R-trees, which is now known as Rips’ theorem. The key ingredient of the theory is the so-called “Rips

76 NOTICES OF THE AMS VOLUME 57, NUMBER 1 New Publications Offered by the AMS To subscribe to email notification of new AMS publications, please go to http://www.ams.org/bookstore-email.

Algebra and Algebraic A. Martínez-Finkelshtein and E. A. Rakhmanov, On asymptotic behavior of Heine-Stieltjes and Van Vleck ; E. B. Geometry Saff, Remarks on relative asymptotics for general orthogonal polynomials; B. Simon, Fine structure of the zeros of orthogonal polynomials: A progress report; H. Stahl, A potential-theoretic problem connected with complex orthogonality; W. Van Assche, Recent Trends Orthogonal polynomials and approximation theory: Some open problems. in Orthogonal Contemporary Mathematics, Volume 507 Polynomials and March 2010, 298 pages, Softcover, ISBN: 978-0-8218-4803-6, Approximation LC 2009040384, 2000 Mathematics Subject Classification: 15A52, Theory 26C10, 30E10, 31A15, 31C15, 33C47, 41A20, 42C05, 44A60, 65D32, AMS members US$71, List US$89, Order code CONM/507 Jorge Arvesú and Francisco Marcellán, Universidad Carlos III de Madrid, Leganés, Spain, and Potential Theory and Andrei Martínez-Finkelshtein, Dynamics on the Universidad de Almería, Spain, Editors Berkovich Projective Line This volume contains invited lectures and selected contributions from the International Workshop on Orthogonal Polynomials and Matthew Baker, Georgia Institute Approximation Theory, held at Universidad Carlos III de Madrid of Technology, Atlanta, GA, and on September 8–12, 2008, and which honored Guillermo López Robert Rumely, University of Lagomasino on his 60th birthday. Georgia, , GA This book presents the state of the art in the theory of orthogonal polynomials and rational approximation with a special emphasis on their applications in random matrices, integrable systems, and The purpose of this book is to develop the foundations of potential numerical quadrature. New results and methods are presented in theory and rational dynamics on the Berkovich projective line over the papers as well as a careful choice of open problems, which an arbitrary complete, algebraically closed non-Archimedean field. can foster interest in research in these mathematical areas. This In addition to providing a concrete and “elementary” introduction volume also includes a brief account of the scientific contributions to Berkovich analytic spaces and to potential theory and rational by Guillermo López Lagomasino. iteration on the Berkovich line, the book contains applications to arithmetic geometry and . A number of results This item will also be of interest to those working in analysis. in the book are new, and most have not previously appeared in book Contents: F. Marcellán and A. Martínez-Finkelshtein, Guillermo form. Three appendices—on analysis, R-trees, and Berkovich’s López Lagomasino: Mathematical life; B. de la Calle Ysern, general theory of analytic spaces—are included to make the book as A walk through approximation theory; L. Baratchart and self-contained as possible. M. Yattselev, Asymptotic uniqueness of best rational approximants The authors first give a detailed description of the topological 2 to complex Cauchy transforms in L of the circle; L. Garza and structure of the Berkovich projective line and then introduce the F. Marcellán, Quadrature rules on the unit circle. A survey.; Hsia kernel, the fundamental kernel for potential theory. Using the A. Ibort, P. Linares, and J. G. Llavona, On the multilinear theory of metrized graphs, they define a Laplacian operator on the trigonometric problem of moments; A. B. J. Kuijlaars, Multiple Berkovich line and construct theories of capacities, harmonic and orthogonal polynomial ensembles; E. Levin and D. S. Lubinsky, subharmonic functions, and Green’s functions, all of which are Some equivalent formulations of universality limits in the bulk; strikingly similar to their classical complex counterparts. After A. López García, Greedy energy points with external fields; developing a theory of multiplicities for rational functions, they

January 2010 Notices of the AMS 77 New Publications Offered by the AMS give applications to non-Archimedean dynamics, including local Quantum Affine and global equidistribution theorems, fixed point theorems, and Berkovich space analogues of many fundamental results from the Algebras, Extended classical Fatou-Julia theory of rational iteration. They illustrate Affine Lie Algebras, the theory with concrete examples and exposit Rivera-Letelier’s results concerning rational dynamics over the field of p-adic and their Applications complex numbers. They also establish Berkovich space versions of Yun Gao, York University, arithmetic results such as the Fekete-Szegö theorem and Bilu’s equidistribution theorem. Toronto, ON, Canada, Naihuan Jing, North Carolina State Contents: The Berkovich unit disc; The Berkovich projective line; Metrized graphs; The Hsia kernel; The Laplacian on the Berkovich University, Raleigh, NC, Michael projective line; Capacity theory; Harmonic functions; Subharmonic Lau, University of Windsor, ON, functions; Multiplicities; Applications to the dynamics of rational Canada, and Kailash C. Misra, North Carolina State maps; Some results from analysis and topology; R-trees and University, Raleigh, NC, Editors Gromov hyperbolicity; Brief overview of Berkovich’s theory; Bibliography; Index. This volume contains the proceedings of the conference on Mathematical Surveys and Monographs, Volume 159 Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research March 2010, approximately 454 pages, Hardcover, ISBN: 978-0-8218- Station, Banff, Canada, from March 2–7, 2008. 4924-8, LC 2009036372, 2000 Mathematics Subject Classification: Many of the papers include new results on different aspects of 14G20; 14G22, 14G40, 37F10, 37F99, 31C05, 31C15, 31C45, AMS quantum affine algebras, extended affine Lie algebras, and their members US$88, List US$110, Order code SURV/159 applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from The Quadratic this book. Isoperimetric Contents: B. Allison and G. Benkart, Unitary Lie algebras and Inequality for Lie tori of type BCr , r ≥ 3; V. Chari and D. Hernandez, Beyond Kirillov–Reshetikhin modules; X. Chen and K.-B. Nam, Root Mapping Tori vectors and an integral PBW basis of composition algebra of the (2) of Free Group valued graph A2 ; B. Cox, V. Futorny, and K. C. Misra, Imaginary Verma modules and Kashiwara algebras for Uq(sl[(2)); G. Fourier, Automorphisms M. Okado, and A. Schilling, Perfectness of Kirillov–Reshetikhin Martin R. Bridson, Mathematical crystals for nonexceptional types; Y. Pei, N. Hu, and M. Rosso, Institute, Oxford, England, and Multiparameter quantum groups and quantum shuffles, (I); J. Morita, Tilings, Lie theory and combinatorics; E. Mukhin, Daniel Groves, University of V. Tarasov, and A. Varchenko, The gl 2 Bethe algebra associated Illinois at Chicago, IL with a nilpotent element; M. Igarashi and T. Nakashima, Affine geometric crystal of type D(3); K.-H. Neeb, Unitary highest weight This item will also be of interest to those working in geometry and 4 modules of locally affine Lie algebras; P. Senesi, Finite-dimensional topology. representation theory of loop algebras: A survey; Y. Yoshii, Locally Contents: Positive automorphisms; Train tracks and the beaded extended affine root systems. decomposition; The general case; Bibliography; Index. Contemporary Mathematics, Volume 506 Memoirs of the American Mathematical Society, Volume 203, February 2010, approximately 303 pages, Softcover, ISBN: 978-0- Number 955 8218-4507-3, LC 2009037983, 2000 Mathematics Subject Classifi- January 2010, 152 pages, Softcover, ISBN: 978-0-8218-4631-5, cation: 17B10, 17B37, 17B65, 17B67, AMS members US$71, List LC 2009042849, 2000 Mathematics Subject Classification: 20F65; US$89, Order code CONM/506 20F06, 20E36, 57M07, Individual member US$44, List US$74, Institutional member US$59, Order code MEMO/203/955 Regular Subgroups of Primitive Groups Martin W. Liebeck, Imperial College, London, England, Cheryl E. Praeger, University of Western Australia, Crawley, Australia, and Jan Saxl, University of Cambridge, England

Contents: Introduction; Preliminaries; Transitive and antiflag transitive linear groups; Subgroups of classical groups transitive on

78 Notices of the AMS Volume 57, Number 1 New Publications Offered by the AMS subspaces; Proof of Theorem 1.1: Linear groups; Proof of Theorem for Koszul cohomology. Green and Lazarsfeld also stated two 1.1: Unitary groups; Proof of Theorem 1.1: Orthogonal groups in conjectures that relate the Koszul cohomology of algebraic odd dimension; Proof of Theorem 1.1: Orthogonal groups of minus curves with the existence of special divisors on the curve. These type; Proof of Theorem 1.1: Some special actions of symplectic and conjectures became an important guideline for future research. orthogonal groups; Proof of Theorem 1.1: Remaining symplectic In the intervening years, there has been a growing interaction cases; Proof of Theorem 1.1: Orthogonal groups of plus type; Proof between Koszul cohomology and algebraic geometry. Green and of Theorem 1.1: Exceptional groups of Lie type; Proof of Theorem Voisin applied Koszul cohomology to a number of Hodge-theoretic 1.1: Alternating groups; Proof of Theorem 1.1: Sporadic groups; problems, with remarkable success. More recently, Voisin achieved Proof of Theorem 1.4 and Corollary 1.3; The tables in Theorem 1.1; a breakthrough by proving Green’s conjecture for general curves; References. soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well. Memoirs of the American Mathematical Society, Volume 203, Number 952 This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of January 2010, 74 pages, Softcover, ISBN: 978-0-8218-4654-4, complex projective curves. The authors’ main goal is to present LC 2009041395, 2000 Mathematics Subject Classification: 20B15, Voisin’s proof of the generic Green conjecture, and subsequent 05C25, Individual member US$38, List US$64, Institutional refinements. They discuss the geometric aspects of the theory member US$51, Order code MEMO/203/952 and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge Points and Curves in theory and to the geometry of the of curves. Contents: Basic definitions; Basic results; Syzygy schemes; The the Monster Tower conjectures of Green and Green-Lazarsfeld; Koszul cohomology and the ; Koszul cohomology of a ; Specific Richard Montgomery, University versions of the syzygy conjectures; Applications; Bibliography; of California, Santa Cruz, CA, Index. and Michail Zhitomirskii, University Lecture Series, Volume 52 Technion–Israel Institute of Technology, Haifa, Israel January 2010, 125 pages, Softcover, ISBN: 978-0-8218-4964-4, LC 2009042378, 2000 Mathematics Subject Classification: 14H51, Contents: Introduction; Prolongations 14C20, 14H60, 14J28, 13D02, 16E05, AMS members US$31, List of integral curves. Regular, vertical, and US$39, Order code ULECT/52 critical curves and points; RVT classes. RVT codes of plane curves. RVT and Puiseux; Monsterization and Legendrization. Reduction theorems; Reduction algorithm. Examples of classification results; Determination of simple points; Local coordinate systems on the Monster; Prolongations and Analysis directional blow-up. Proof of Theorems A and B; Open questions; Appendix A. Classification of integral Engel curves; Appendix B. Contact classification of Legendrian curves; Appendix C. Critical, singular and rigid curves; Bibliography; Index. Mixed-Norm Memoirs of the American Mathematical Society, Volume 203, Inequalities and Number 956 Operator Space L January 2010, 137 pages, Softcover, ISBN: 978-0-8218-4818-0, p LC 2009041682, 2000 Mathematics Subject Classification: 58A30; Embedding Theory 58A17, 53A55, 58K55, Individual member US$43, List US$72, Marius Junge, University of Institutional member US$58, Order code MEMO/203/956 Illinois at Urbana-Champaign, IL, and Javier Parcet, Instituto

University Koszul Cohomology de Ciencias Mathemáticas LECTURE CSIC-UAM-UC3M-UCM, Madrid, Series and Algebraic Volume 52 Spain Geometry Contents: Introduction; Noncommutative integration; Koszul Cohomology Marian Aprodu, Institute of and Algebraic Geometry Amalgamated Lp spaces; An interpolation theorem; Conditional Lp Mathematics ‘Simion Stoilow’ n Marian Aprodu spaces; Intersections of Lp spaces; Factorization of Jp,q(M, E); Jan Nagel of the Romanian Academy, Mixed-norm inequalities; Operator space Lp embeddings; Bucharest, Romania, and Jan Bibliography. Nagel, Université de Bourgogne, Memoirs of the American Mathematical Society, Volume 203, American Mathematical Society Dijon, France Number 953 January 2010, 155 pages, Softcover, ISBN: 978-0-8218-4655-1, The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work LC 2009041393, 2000 Mathematics Subject Classification: 46L07, of Mark Green in the 1980s. Green connected classical results 46L09, 46L51, 46L52, 46L53, Individual member US$44, List concerning the ideal of a projective variety with vanishing theorems US$74, Institutional member US$59, Order code MEMO/203/953

January 2010 Notices of the AMS 79 New Publications Offered by the AMS

Differential Algebraic March 2010, approximately 215 pages, Hardcover, ISBN: 978-0-8218-4898-2, 2000 Mathematics Subject Classification: 55-01, Topology 55R40, 57-01, 57R20, 57R55, AMS members US$44, List US$55, From Stratifolds to Exotic Order code GSM/110 Spheres Matthias Kreck, Hausdorff Thermodynamical Research Institute for Formalism and Mathematics, Bonn, Germany Multifractal Analysis This book presents a geometric for Meromorphic introduction to the of topological spaces and the cohomology of smooth manifolds. Functions of Finite The author introduces a new class of stratified spaces, so-called Order stratifolds. He derives basic concepts from differential topology such as Sard’s theorem, partitions of unity and transversality. Based Volker Mayer, Université de Lille on this, homology groups are constructed in the framework of I, Villeneuve d’Ascq, France, and stratifolds and the homology axioms are proved. This implies that Mariusz Urba´nski, University of for nice spaces these homology groups agree with ordinary singular homology. Besides the standard computations of homology groups North Texas, Denton, TX using the axioms, straightforward constructions of important Contents: Introduction; Balanced functions; Transfer operator and homology classes are given. The author also defines stratifold Nevanlinna theory; Preliminaries, Hyperbolicity and distortion cohomology groups following an idea of Quillen. Again, certain properties; Perron-Frobenius operators and generalized conformal important cohomology classes occur very naturally in this measures; Finer properties of Gibbs states; Regularity of Perron- description, for example, the characteristic classes which are Frobenius operators and topological pressure; Multifractal analysis; constructed in the book and applied later on. One of the most Multifractal analysis of analytic families of dynamically regular fundamental results, Poincaré , is almost a triviality in this functions; Bibliography; Index. approach. Memoirs of the American Mathematical Society, Volume 203, Some fundamental invariants, such as the Euler characteristic Number 954 and the signature, are derived from (co)homology groups. These invariants play a significant role in some of the most spectacular January 2010, 107 pages, Softcover, ISBN: 978-0-8218-4659- results in differential topology. In particular, the author proves a 9, LC 2009041681, 2000 Mathematics Subject Classification: special case of Hirzebruch’s signature theorem and presents as a 30D05, 37F10, Individual member US$41, List US$68, Institutional highlight Milnor’s exotic 7-spheres. member US$54, Order code MEMO/203/954 This book is based on courses the author taught in Mainz and Heidelberg. Readers should be familiar with the basic notions of point-set topology and differential topology. The book can be used for a combined introduction to differential and , Differential Equations as well as for a quick presentation of (co)homology in a course about differential geometry. This item will also be of interest to those working in geometry and Harmonic Analysis topology. Contents: A quick introduction to stratifolds; Smooth manifolds and Partial Differential revisited; Stratifolds; Stratifolds with boundary: c-stratifolds; Equations Z/2-homology; The Mayer-Vietoris sequence and homology groups of spheres; Brouwer’s fixed point theorem, separation, Patricio Cifuentes, José invariance of dimension; Homology of some important spaces García-Cuerva, Gustavo and the Euler characteristic; Integral homology and the mapping Garrigós, Eugenio Hernández, degree; A comparison theorem for homology theories and José María Martell, Javier CW -complexes; Künneth’s theorem; Some lens spaces and quaternionic generalizations; Cohomology and Poincaré duality; Parcet, Alberto Ruiz, Fernándo Induced maps and the cohomology axioms; Products in cohomology Soria, José Luis Torrea, and Ana and the Kronecker pairing; The signature; The Euler class; Chern Vargas, Universidad Autónoma classes and Stiefel-Whitney classes; Pontrjagin classes and de Madrid, Spain, editors applications to bordism; Exotic 7-spheres; Relation to ordinary singular (co)homology; Appendix A: Constructions of stratifolds; This volume contains the proceedings of the 8th International Appendix B: The detailed proof of the Mayer-Vietoris sequence; Conference on Harmonic Analysis and Partial Differential Equations, Appendix C: The tensor product; Bibliography; Index. held in El Escorial, Madrid, Spain, on June 16–20, 2008. Graduate Studies in Mathematics, Volume 110 Featured in this book are papers by Steve Hoffmann and Carlos Kenig, which are based on two mini-courses given at the conference. These papers present topics of current interest, which assume minimal background from the reader, and represent state-of-the-art research in a useful way for young researchers. Other papers in this

80 Notices of the AMS Volume 57, Number 1 New Publications Offered by the AMS volume cover a range of fields in Harmonic Analysis and Partial Advanced control problems for nonlinear partial differential Differential Equations and, in particular, illustrate well the fruitful equations are also discussed. As prerequisites, results on interplay between these two fields. boundedness and continuity of solutions to semilinear elliptic and Contents: A. Cohen, W. Dahmen, and R. DeVore, Instance optimal parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting decoding by thresholding in compressed sensing; S. Hofmann, for researchers. Local T (b) theorems and applications in PDE; C. E. Kenig, The global behavier of solutions to critical nonlinear dispersive Alongside the main theme of the analysis of problems of optimal and wave equations; P. Auscher and J. M. Martell, Weighted control, Tröltzsch also discusses numerical techniques. The norm inequalities, off-diagonal estimates and elliptic operators; exposition is confined to brief introductions into the basic ideas J. Bennett, Heat-flow monotonicity related to some inequalities in in order to give the reader an impression of how the theory can euclidean analysis; A. Carbery, A uniform sublevel set estimate; be realized numerically. After reading this book, the reader will P. Auscher, A. Axelsson, and A. McIntosh, On a quadratic estimate be familiar with the main principles of the numerical analysis of related to the Kato conjecture and boundary value problems; PDE-constrained optimization. C. Muscalu, Flag paraproducts; J. Ortega-Cerdà and B. Pridhnani, This item will also be of interest to those working in applications. The Pólya-Tchebotaröv problem; M. T. Lacey, S. Petermichl, J. C. Pipher, and B. D. Wick, Iterated Riesz commutators: A simple Contents: Introduction and examples; Linear-quadratic elliptic proof of boundedness; G. Garrigós and A. Seeger, A mixed norm control problems; Linear-quadratic parabolic control problems; variant of Wolff’s inequality for paraboloids; S. Thangavelu, On the Optimal control of semilinear elliptic equations; Optimal control of unreasonable effectiveness of Gutzmer’s formula; L. Vega, Bilinear semilienar parabolic equations; Optimization problems in Banach virial identities and oscillatory ; E. Hernández, H. Šiki´c, spaces; Supplementary results on partial differential equations; G. Weiss, and E. Wilson, On the properties of the integer translates Bibliography; Index. of a square integrable function. Graduate Studies in Mathematics, Volume 112 Contemporary Mathematics, Volume 505 February 2010, approximately 408 pages, Hardcover, ISBN: February 2010, 249 pages, Softcover, ISBN: 978-0-8218-4770-1, LC 978-0-8218-4904-0, LC 2009037756, 2000 Mathematics Subject 2009036374, 2000 Mathematics Subject Classification: 35-XX, 42- Classification: 49-01, 49K20, 35J65, 35K60, 90C48, 35B37, AMS XX, 47-XX, 52-XX, 53-XX, 58-XX, 65-XX, 94-XX, 30-XX, 26-XX, AMS members US$55, List US$69, Order code GSM/112 members US$63, List US$79, Order code CONM/505 Geometry and Topology Optimal Control of Partial Differential Equations Ricci Flow and the Theory, Methods and Sphere Theorem Applications Simon Brendle, Stanford University, CA Fredi Tröltzsch, Technische Universität Berlin, Germany In 1982, R. Hamilton introduced Translated by Jürgen Sprekels a nonlinear evolution equation for Riemannian metrics with the aim of Optimal control theory is concerned with finding control functions finding canonical metrics on manifolds. that minimize cost functions for systems described by differential This evolution equation is known as the equations. The methods have found widespread applications in Ricci flow, and it has since been used aeronautics, mechanical engineering, the life sciences, and many widely and with great success, most notably in Perelman’s solution other disciplines. of the Poincaré conjecture. Furthermore, various convergence theorems have been established. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential This book provides a concise introduction to the subject as well as a equation. Included are topics such as the existence of optimal comprehensive account of the convergence theory for the Ricci flow. solutions, necessary optimality conditions and adjoint equations, The proofs rely mostly on maximum principle arguments. Special second-order sufficient conditions, and main principles of emphasis is placed on preserved curvature conditions, such as selected numerical techniques. It also contains a survey on the positive isotropic curvature. One of the major consequences of this Karush-Kuhn-Tucker theory of nonlinear programming in Banach theory is the Differentiable Sphere Theorem: a compact Riemannian spaces. manifold whose sectional curvatures all lie in the interval (1,4] is The exposition begins with control problems with linear equation, diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it quadratic cost function and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic was resolved in 2007 by the author and Richard Schoen. and parabolic equations are introduced. Principles of functional This text originated from graduate courses given at ETH Zürich analysis are introduced and explained as they are needed. Many and Stanford University, and is directed at graduate students and simple examples illustrate the theory and its hidden difficulties. researchers. The reader is assumed to be familiar with basic This start to the book makes it fairly self-contained and suitable for , but no previous knowledge of Ricci flow is advanced undergraduates or beginning graduate students. required.

January 2010 Notices of the AMS 81 New AMS-Distributed Publications

Contents: A survey of sphere theorems in geometry; Hamilton’s defining the multiplier. The multipliers of step wise reduced Ricci flow; Interior estimates; Ricci flow on S2; Pointwise curvature differential equations. The multiplier by the use of particular estimates; Curvature pinching in dimension 3; Preserved curvature integrals; The multiplier for systems of differential equations with conditions in higher dimensions; Convergence results in higher higher differential coefficients. Applications to a system of mass dimensions; Rigidity results; Convergence of evolving metrics; points without constraints; Examples of the search for multipliers. Results from complex linear algebra; Problems; Bibliography; Index. Attraction of a point by a fixed centre in a resisting medium and in empty space; The multiplier of the equations of motion of a system Graduate Studies in Mathematics, Volume 111 under constraint in the first Langrange form; The multiplier for the February 2010, 176 pages, Hardcover, ISBN: 978-0-8218-4938-5, equations of motion of a constrained system in Hamiltonian form; LC 2009037261, 2000 Mathematics Subject Classification: 53C20, Hamilton’s partial differential equation and its extension to the 53C21, 53C44, AMS members US$38, List US$47, Order code isoperimetric problem; Proof that the integral equations derived GSM/111 from a complete solution of Hamilton’s partial differential equation actually satisfy the system of ordinary differential equations. Hamilton’s equation for free motion; Investigation of the case in which t does not occur explicitly; Lagrange’s method of integration of first order partial differential equations in two independent variables. Application to problems of mechanics which depend only New AMS-Distributed on two defining parameters. The free motion of a point on a plane and the shortest line on a surface; The reduction of the partial Publications differential equation for those problems in which the principle of conservation of centre of gravity holds; Motion of a planet around the sun—Solution in polar coordinates; Solution of the same problem by introducing the distances of the planet from two fixed points; Elliptic coordinates; Geometric significance of elliptic coordinates on the plane and in space. Quadrature of the surface of Differential Equations an ellipsoid. Rectification of its lines of curvature; The shortest line on the tri-axial ellipsoid. The problem of map projection; Attraction of a point by two fixed centres; Abel’s theorem; General investigations of the partial differential equations of the first order. Jacobi’s Lectures on Different forms of the integrability conditions; Direct proof of the Dynamics most general form of the integrability condition. Introduction of the function H, which set equal to an arbitrary constant determines Second Edition the p as functions of the q; On the simultaneous solutions of two linear partial differential equations; Application of the preceding A. Clebsch, Editor investigation to the integration of partial differential equations of the first order, and in particular, to the case of mechanics. The The name of C. G. J. Jacobi is familiar theorem on the third integral derived from two given integrals of to every student of mathematics, differential equations of dynamics; The two classes of integrals thanks to the Jacobion determinant, the which one obtains according to Hamilton’s method for problems Hamilton-Jacobi equations in dynamics, of mechanics. Determination of the value of (ϕ, ψ) for them; and the Jacobi identity for vector fields. Perturbation theory. Supplement. Best known for his contributions to the Hindustan Book Agency theory of elliptic and abelian functions, Jacobi is also known for his innovative teaching methods and for running the first research August 2009, 350 pages, Hardcover, ISBN: 978-81-85931-91-3, 2000 seminar in pure mathematics. Mathematics Subject Classification: 01-01, 70H20, AMS members A record of his lectures on Dynamics given in 1842–43 at US$38, List US$48, Order code HIN/44 Königsberg, edited by A. Clebsch, has been available in the original German. This is an English translation. It is not just a historical document; the modern reader can learn much about the subject directly from one of its great masters. A publication of Hindustan Book Agency. Distributed on an exclusive basis by the AMS in North America. Online bookstore rights worldwide. Contents: Introduction; The differential equations of motion; Conservation of motion of centre of gravity; The principle of conservation of ‘vis viva’; Conservation of surface area; The principle of least action; Further considerations on the principle of least action—The Lagrange multipliers; Hamilton’s integral and Lagrange’s second form of dynamical equations; Hamilton’s form of the equation of motion; The principle of the last multiplier; Survey of those properties of determinants that are used in the theory of the last multiplier; The multiplier for systems of differential equations with an arbitrary number of variables; Functional determinants. Their application in setting up the partial differential equation for the multiplier; The second form of the equation

82 Notices of the AMS Volume 57, Number 1 New AMS-Distributed Publications

General and Interdisciplinary introduction (in 1937) of the suspension and its use in stability results for homotopy groups of spheres. In group theory there is work on topological groups (of the 1930s) and on various aspects of the theory of Lie groups, such as a paper on automorphisms of 1941. Current From the later work of the 1950s and 1960s, papers on geometric aspects of Lie theory (geometries associated to exceptional groups, Developments space problems) have been included. in Mathematics, 2008 Freudenthal’s versatility is further demonstrated by selections from his foundational and historical work: papers on intuitionistic logic , Wilfried Schmid, and topology, a paper on axiomatic geometry reappraising Hilbert’s and Shing-Tung Yau, Harvard Grundlagen, and a paper summarizing his development of Lincos, a University, Cambridge, MA, universal ("cosmic") language. and David Jerison, Tomasz A publication of the European Mathematical Society (EMS). Mrowka, and Richard P. Stanley, Distributed within the Americas by the American Mathematical Massachusetts Institute of Society. Technology, Cambridge, MA, Contents: Biographical note; Ph.D. students of Hans Freudenthal; Editors Über die Enden topologischer Räume und Gruppen; Einige Sätze über topologische Gruppen; Topologische Gruppen mit The Current Developments in Mathematics (CDM) conference is genügend vielen fastperiodischen Funktionen; Teilweise geordnete an annual seminar, jointly hosted by Harvard University and the Moduln; Über die Friedrichssche Fortsetzung halbbeschränkter Massachusetts Institute of Technology, devoted to surveying the Hermitescher Operatoren; Zum intuitionistischen Raumbegriff; Zur most recent developments in mathematics. In choosing speakers, intuitionistischen Deutung logischer Formelnm; Entwicklungen von the hosts take a broad look at the field of geometry and select Räumen und Gruppen; Alexanderscher und Gordonscher Ring geometers who transcend classical perceptions within their field. und ihre Isomorphie; Zum Hopfschen Umkehrhomomorphismus; All speakers are prominent specialists in the fields of algebraic Über die Klassen der Sphärenabbildungen. I. Große Dimensionen; geometry, , and other areas. Die Topologie der Lieschen Gruppen als algebraisches Phänomen; Simplizialzerlegungen von beschränkter Flachheit; Über die Enden A publication of International Press. Distributed worldwide by the diskreter Räume und Gruppen; Oktaven, Ausnahmegruppen American Mathematical Society. und Oktavengeometrie; Sur le groupe exceptionnel ; Sur des Contents: M. Dafermos, The evolution problem in general invariants caractéristiques des groupes semi-simples; Sur le groupe relativity; L. Lovász, Very large graphs; J. Lurie, On the exceptionnel ; Zur ebenen Oktavengeometrie; Beziehungen classification of topological field theories; W. H. Meeks III and der E7 und E8 zur Oktavenebene I; Beziehungen der E7 und E8 J. Pérez, Properly embedded minimal planar domains with infinite zur Oktavenebene II–XI; Zur Berechnung der Charaktere der topology are Riemann minimal examples; K. Ono, Unearthing the halbeinfachen Lieschen Gruppen I–III; Neuere Fassungen des visions of a master: Harmonic Maass forms and number theory. Riemann–Helmholtz–Lieschen Raumproblems; Grundzüge eines Entwurfes einer kosmischen Verkehrssprache; Zur Geschichte International Press der Grundlagen der Geometrie; Zur Klassifikation der einfachen October 2009, 454 pages, Softcover, ISBN: 978-1-57146-139-1, 2000 Lie–Gruppen; Symplektische und metasymplektische Geometrien; Mathematics Subject Classification: 53C44, AMS members US$47, Bericht über die Theorie der Rosenfeldschen elliptischen List US$59, Order code INPR/84 Ebenen; Das Helmholtz-Liesche Raumproblem bei indefiniter Metrik; Lie groups in the foundation of geometry; Comments; Acknowledgements; Bibliography. Hans Freudenthal: Heritage of European Mathematics, Volume 3 October 2009, 661 pages, Hardcover, ISBN: 978-3-03719-058-6, 2000 Selecta Mathematics Subject Classification: 00B60, 01A75, AMS members Tonny A. Springer and Dirk van US$150, List US$188, Order code EMSHEM/3 Dalen, , The Netherlands, Editors

Hans Freudenthal (1905–1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers and became a topologist, but with a lively interest in group theory. After a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned toward the practical and methodological issues of the didactics of mathematics. The present Selecta are devoted to Freudenthal’s mathematical oeuvre. They contain a selection of his major contributions, including his fundamental contributions to topology such as the foundation of the theory of ends (in the thesis of 1931) as well as the

January 2010 Notices of the AMS 83 New AMS-Distributed Publications Number Theory

Cohomological Theory of Crystals over Function Fields Gebhard Böckle, University of Duisburg-Essen, Germany, and Richard Pink, ETH-Zürich, Switzerland

This book develops a new cohomological theory for schemes in positive characteristic p and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain L-functions arising in the arithmetic of function fields. These L-functions are power series over a certain ring A, associated to any family of Drinfeld A-modules or, more generally, of A-motives on a variety of finite type over the finite field Fp. By analogy to the Weil conjecture, Goss conjectured that these L-functions are in fact rational functions. In 1996 Taguchi and Wan gave a first proof of Goss’s conjecture by analytic methods à la Dwork. The present text introduces A-crystals, which can be viewed as generalizations of families of A-motives, and studies their cohomology. While A-crystals are defined in terms of coherent sheaves together with a Frobenius map, in many ways they actually behave like constructible ètale sheaves. A central result is a Lefschetz trace formula for L-functions of A-crystals, from which the rationality of these L-functions is immediate. Beyond its application to Goss’s L-functions, the theory of A-crystals is closely related to the work of Emerton and Kisin on unit root F-crystals, and it is essential in an Eichler – Shimura type isomorphism for Drinfeld modular forms as constructed by the first author. The book is intended for researchers and advanced graduate students interested in the arithmetic of function fields and/or cohomology theories for varieties in positive characteristic. It assumes a good working knowledge in algebraic geometry as well as familiarity with homological algebra and derived categories, as provided by standard textbooks. Beyond that the presentation is largely self contained. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Contents: Introduction; Categorical preparations; Fundamental concepts; Functors; Derived categories; Derived functors; Flatness; Naive L-functions; Crystalline L-functions; Étale cohomology; Bibliography; List of notation; Index. EMS Tracts in Mathematics, Volume 9 October 2009, 195 pages, Hardcover, ISBN: 978-3-03719-074-6, 2000 Mathematics Subject Classification: 11-02, 14-02, AMS members US$51, List US$64, Order code EMSTM/9

84 Notices of the AMS Volume 57, Number 1 Classified Advertisements

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GEORGIA GA, 30332-0160, USA. Review of applica- and encourages applications from women tions will begin in October 2009, and the and minorities. A background check is GEORGIA INSTITUTE OF TECHNOLOGY roster of candidates being considered will required. 000001 School of Mathematics be updated on a continual basis. Georgia Tech, an institution of the University Sys- The School of Mathematics at Georgia tem of Georgia, is an Equal Opportunity/ Tech is continuing an ambitious faculty Affirmative Action Employer. KENTUCKY recruitment program begun several years 000074 ago. Building on past successes, this WESTERN KENTUCKY UNIVERSITY Mathematics and Computer Science recruiting effort is intended to make KANSAS rapid advances in the scope and quality The Department of Mathematics and of our research and graduate education Computer Science at Western Kentucky programs. Candidates will be considered KANSAS STATE UNIVERSITY Department of Mathematics University invites applications for a ten- at all ranks, with priority given to those ure-track position in mathematics educa- candidates who: (1) show the potential to Applications are invited for a tenure-track tion starting August 2010 at the assistant carry out research of exceptional quality assistant professor position to commence professor level. at Georgia Tech; (2) complement existing August 8, 2010, with salary commen- Qualifications: The applicant should strengths in the School of Mathematics; surate with qualifications. A Ph.D. in have an earned doctorate in mathematics (3) reinforce bridges to programs in en- mathematics is required and preference education and a minimum of 18 hours gineering and the physical, computing, will be given to candidates with some of graduate-level mathematics courses and life sciences; (4) have strong potential postdoctoral experience. The depart- prior to the date of employment. Appli- for external funding; and (5) have a dem- ment seeks candidates whose research cants should provide evidence of effective onstrated commitment to high quality interests are in analysis and/or applied teaching, scholarly potential, and the abil- teaching at both the undergraduate and mathematics. The successful candidate ity to work collaboratively with colleagues graduate levels. Consistent with these should have strong research credentials as in the Department of Mathematics, Col- priorities, candidates will be considered well as strong accomplishment or promise lege of Education and K-12 schools. Expe- in all areas of pure and applied mathemat- in teaching, should demonstrate a strong rience in web-based learning is desirable. ics and statistics. Applications should commitment to mentoring students, and consist of a curriculum vitae, including Salary is commensurate with qualifica- should value working with colleagues a list of publications, summary of future tions and experience. and students from diverse backgrounds. research plans, and at least three letters Duties: The successful candidate will Applicants must submit the following: a of reference. Applications should also be expected to teach undergraduate and letter of application, curriculum vita, out- include evidence of teaching interest and graduate courses in mathematics for line of teaching philosophy, a statement abilities. Candidates for associate and preservice and inservice teachers; will be of research objectives, and four letters of full professor positions should submit a active in mathematics education research reference, at least one of which addresses statement outlining their vision for service and grant writing; and will cooperate with the applicant’s teaching ability and po- as a senior faculty member at Georgia other faculty members to review and tential. All application materials must Tech. Applications should be submitted revise mathematics courses for teachers be submitted electronically via http:// directly to http://www.mathjobs.org. If at all levels, to recruit prospective mathe- www.mathjobs.org. Screening begins a candidate cannot submit an application matics teachers, and to support SKyTeach, November 1, 2009, and continues until the electronically, then it may be sent to the WKU’s replication of the UTeach program position is closed. Kansas State University Hiring Committee, School of Mathematics, at the University of Texas-Austin. is an Equal Opportunity Employer and ac- Georgia Institute of Technology, Atlanta, Salary is commensurate with qualifica- tively seeks diversity among its employees tions and experience. Review of docu-

Suggested uses for classified advertising are positions available, books or issue–January 28, 2010; May 2010 issue–February 26, 2010; June/July 2010 lecture notes for sale, books being sought, exchange or rental of houses, issue–April 28, 2010; August 2010 issue–May 28, 2010. and typing services. U.S. laws prohibit discrimination in employment on the basis of color, age, The 2009 rate is $110 per inch or fraction thereof on a single column (one- sex, race, religion, or national origin. “Positions Available” advertisements inch minimum), calculated from top of headline. Any fractional text of 1/2 from institutions outside the U.S. cannot be published unless they are inch or more will be charged at the next inch rate. No discounts for multiple accompanied by a statement that the institution does not discriminate on ads or the same ad in consecutive issues. For an additional $10 charge, these grounds whether or not it is subject to U.S. laws. Details and specific announcements can be placed anonymously. Correspondence will be wording may be found on page 1373 (vol. 44). forwarded. Situations wanted advertisements from involuntarily unemployed math- Advertisements in the “Positions Available” classified section will be set ematicians are accepted under certain conditions for free publication. Call with a minimum one-line headline, consisting of the institution name above toll-free 800-321-4AMS (321-4267) in the U.S. and Canada or 401-455-4084 body copy, unless additional headline copy is specified by the advertiser. worldwide for further information. Headlines will be centered in boldface at no extra charge. Ads will appear Submission: Promotions Department, AMS, P.O. Box 6248, Providence, in the language in which they are submitted. Rhode Island 02940; or via fax: 401-331-3842; or send email to There are no member discounts for classified ads. Dictation over the [email protected]. AMS location for express delivery packages is telephone will not be accepted for classified ads. 201 Charles Street, Providence, Rhode Island 20904. Advertisers will be Upcoming deadlines for classified advertising are as follows: February 2010 billed upon publication. issue–November 25, 2009; March 2010 issue–December 28, 2009; April 2010

JANUARY 2010 NOTICES OF THE AMS 85 Classified Advertisements ments will begin January 15, 2010, and women and persons with disabilities. and the participation and advancement of will continue until the position is filled. is an E-Verify women in STEM. A letter of application, vita, statement Employer. Michigan Technological University is of philosophy of teaching, unofficial 000004 an Equal Opportunity Educational In- transcript and three letters of reference stitution/Equal Opportunity Employer/ should be addressed to: Affirmative Action Employer. Dr. Wanda Weidemann MICHIGAN 000003 Department of Mathematics and Computer Science MICHIGAN TECHNOLOGICAL Western Kentucky University UNIVERSITY NORTH CAROLINA 1906 College Heights Blvd. #11078 Department of Mathematical Sciences EAST CAROLINA UNIVERSITY Bowling Green, KY 42101-1078 Tenure-track Position in Mathematics Mathematics Department Western Kentucky University is an EO/AA Education Employer. For this type of employment, Mathematics: Chair. East Carolina Uni- Applications are invited for a tenure-track state law requires a state and national versity. (Vacancy #937801 at http:// criminal history background check as a assistant professorship in mathematics www.jobs.ecu.edu). Appointment at condition of employment. Immediately education, with a specialization in second- the level of professor with expectation of upon employment, the successful candi- ary mathematics education. A Ph.D. in tenure, beginning on or before August 16, date must provide proof of legal eligibil- mathematics education is required, with 2010. Requires earned Ph.D. in the math- ity to work in the United States. Western teaching experience at the secondary level ematical sciences and a distinguished Kentucky University is committed to the and/or a master’s degree in mathematics record of research, teaching, and service. promotion of stewardship and student preferred. The ability to work with faculty Administrative experience is desirable. engagement. For further information, in the department and across campus is Visit: http://www.ecu.edu/math/ for please see our website at: http://www. desirable. departmental information. Screening be- wku.edu/math/ or contact the chair of the The Department of Mathematical Sci- gins December 1, 2009, (until filled). Ap- search committee at: wanda.weidemann@ ences offers BS, MS, and Ph.D. programs, plicants must submit a candidate profile, a wku.edu. including a very successful undergraduate letter of application, curriculum vitae, and 000007 concentration in secondary education. a statement of administrative philosophy Current faculty have expertise in applied and experience online at http://www. MASSACHUSETTS and computational mathematics; com- jobs.ecu.edu. Three current, original, binatorics, algebra, and number theory; signed letters of recommendation should be sent directly to: Dr. Steve Culver, c/o NORTHEASTERN UNIVERSITY and statistics and probability. Faculty are expected to have an active research pro- Department of Mathematics, East Carolina Department of Mathematics gram, seek external funding, and provide University, Greenville, NC 27858-4353. At Tenure-Track Assistant Professorship excellent teaching. Teaching loads are very least one letter should address administra- tive/leadership/people skills. (Phone: 252- We invite applications for a tenure-track competitive. 328-6461; [email protected].) For com- position at the assistant professor level to The position starts 16 August 2010, plete job description and requirements, begin in September 2010. This position in- and candidates must complete all require- see http://ecu.peopleadmin.com/ volves carrying out a productive research ments for the Ph.D. in mathematics educa- applicantsCentral?quickind=60620. program, effective teaching, and service tion by that date. Review of applications Official transcripts required upon em- to the department, the university, and will begin December 1, 2009; candidates ployment. Equal Opportunity/Affirmative the profession. Appointments are based applying by that date are assured full con- Action Employer. on exceptional research contributions in sideration. Interested candidates should 000012 mathematics. Candidates with research send a vita, three letters of recommen- in any area of mathematics and with an dation (at least one of which addresses interest and ability to collaborate across teaching), a description of proposed re- WAKE FOREST UNIVERSITY disciplines and units in the university are search program, and a statement of teach- Department of Mathematics urged to apply. Instructions: Applicants ing interests to: are requested to complete the following Search Committee Applications are invited for one tenure- two steps by November 1, 2009, (late Mathematics Education Position track position in mathematics at the as- applications may be considered until the Department of Mathematical Sci- sistant professor level beginning August position is filled): 1.) Complete the North- ences 2010. We seek highly qualified candidates eastern University application found at: Michigan Technological University who have a commitment to excellence in http://www.northeastern.edu/cas/ 1400 Townsend Drive both teaching and research. A Ph.D. in (click on Faculty Positions on the lower mathematics or a related area is required. left hand side of the page) 2.) Submit an Houghton, MI 49931-1295 or to: http://[email protected] (elec- Candidates with research interests in al- application and at least three letters of gebra will receive first consideration. The recommendation at: http://www.math- tronic submissions in PDF format are encouraged) department has 20 members and offers jobs.org. These letters should address both a B.A. and a B.S. in mathematics, with In addition to the present search, strategic the applicant’s research accomplishments an optional concentration in statistics; a faculty hiring initiatives with up to ten and supply evidence that the applicant B.S. in interdisciplinary mathematics; and has the ability to communicate and teach new positions in “Next Generation Energy a B.S. in each of mathematical business effectively. Systems” and “Health: Basic Sciences, and mathematical economics. The depart- Northeastern University Technologies, and Medical Informatics” ment has a graduate program offering an Department of Mathematics, 567 are under way and qualified candidates M.A. in mathematics. A complete applica- Lake Hall, Boston MA 02115 are encouraged to send a separate applica- tion will include a letter of application, http://www.math.neu.edu tion, following the “How to Apply” guide- curriculum vitae, teaching statement, Northeastern University is an Equal Op- lines at: http://www.mtu.edu/sfhi. research statement, graduate transcripts, portunity, Affirmative Action Educational Michigan Tech is an ADVANCE institu- and three letters of recommendation. Institution and Employer, Title IX Univer- tion, one of a limited number of universi- The application deadline is January 1, sity. Northeastern University particularly ties in receipt of NSF funds in support 2010. Applicants are encouraged to post welcomes applications from minorities, of our commitment to increase diversity materials electronically at: http://www.

86 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Classified Advertisements mathjobs.org. Hard copy can be sent to program. Submit letter of application, excellence in undergraduate education, a Stephen Robinson, Wake Forest Univer- curriculum vitae, statement of teaching productive research program in an area sity, Department of Mathematics, P.O. Box philosophy, and five professional refer- of applied mathematics or statistics, a 7388, Winston-Salem, NC 27109. (email: ences (names, addresses including email, strong history of service, and demon- [email protected], http://www.math.wfu. telephone) electronically to: Dr. Reza strated leadership skills. Preference will edu). AA/EO Employer. Abbasian ([email protected]), be given to candidates with experience in 000006 Chair of the Dept. of Mathematics and undergraduate research. Computer Science, Texas Lutheran Uni- Applications should be submitted to: versity, Seguin, TX. Review of applications Chair, Department of Mathematics, Trin- OHIO will continue until the position is filled. ity University, San Antonio, TX 78212, Full position description is available at: no later than January 18th, 2010. Ap- THE OHIO STATE UNIVERSITY http://www.tlu.edu. Texas Lutheran plications should include a cover letter, Faculty Position in Mathematical University is an Equal Opportunity Em- curriculum vita, three letters of recom- Biology ployer mendation specific to the position, and 000013 a letter addressing teaching philosophy, Ohio State University invites applications research interests, and leadership style. In for faculty position in mathematical bi- TEXAS TECH UNIVERSITY the cover letter, please indicate whether or ology that will be jointly appointed in Mathematics and Statistics not you plan to attend the San Francisco mathematics or statistics and an appropri- AMS-MAA Joint Mathematics Meetings in ate biological sciences department in the The Dept. of Mathematics and Statistics January. College of Arts and Sciences. Assistant invites applications for at least one ten- Located in the culturally rich city of ure-track position at the rank of assistant professor level applicants will be given San Antonio, Trinity University is a highly professor or higher beginning in the fall preference. selective independent coeducational in- 2010 semester. Exceptional candidates Submit vita, research and teaching state- stitution providing broad and intensive will be considered for higher-level posi- ments, and three references to: http:// educational opportunities primarily to tion. www.mathjobs.org. Questions can be di- undergraduates in liberal arts and sci- rected to http://[email protected]. Strong applicants in all areas will be ences and in selected professional and Review of applications begins November considered. Candidates whose research pre-professional fields. Small class sizes, 16, 2009. interests complement existing depart- a ten-to-one student to faculty ratio, and To build a diverse workforce Ohio State mental areas or have excellent potential exceptional facilities are some of the encourages applications from minorities, for interdisciplinary collaboration are qualities that distinguish Trinity as one veterans, women, and individuals with especially encouraged to apply. Areas of of the nation’s best schools. For more disabilities. Flexible work options are particular interest include computational information, please visit our website at: available. EEO/AA employer. Ohio State mathematics, dynamical systems, geom- http://www.trinity.edu. etry and topology. is an NSF Advance Institution. Trinity University is an Affirmative Ac- 000002 Strong promise or accomplishment tion, Equal Opportunity Employer. Women in scholarly activity and teaching and a and minorities are encouraged to apply. Ph.D. or equivalent degree at time of ap- Trinity University does not discriminate in UNIVERSITY OF CINCINNATI pointment are required. The successful educational or employment opportunities Department of Mathematical Sciences candidate should also contribute through or decisions for qualified persons on the professional and departmental service. basis of race, color, religion, sex, national Applications are invited for one or more Texas Tech is an Affirmative Action/ origin, age, disability, sexual orientation, tenure-track assistant professorships. Ap- Equal Opportunity Employer committed or veteran status. plicants with expertise in numerical analy- to excellence through diversity. Texas Assistant Professor: sis, financial mathematics, statistics and Tech welcomes applications from minori- Trinity University invites applications mathematical education are particularly ties, women, veterans, and persons with for a tenure-track assistant professor in encouraged to apply. However, strong disabilities. the Department of Mathematics. Require- candidates whose research interests mesh Applications should be submitted at: ments include a Ph.D. in the mathematical well with the research interests of depart- http://jobs.texastech.edu using req- sciences, a commitment to excellence in ment faculty will also be considered. For uisition number 80105 and should include undergraduate education, and the poten- further details, please see the position completed AMS standard cover sheet and tial for a productive research program in announcement at: http://mathjobs.org resume. an area of statistics or applied mathemat- or at: http://math.uc.edu/facstaff/ Three letters of reference and any mate- ics. The successful candidate will teach jobs.html. The University of Cincinnati rial in addition to that submitted online statistics courses in addition to sharing is an Equal Opportunity/Affirmative Ac- should be sent to: in the teaching of a broad range of under- tion Employer. Women, people of color, Professor Wayne Lewis graduate mathematics courses. Preference the disabled, and veterans are encouraged Chair, Faculty Search Committee will be given to candidates whose research to apply. Dept. of Mathematics and Statistics can include undergraduates. 000009 Texas Tech University Applications should be submitted to: Lubbock, TX 79409-1042 Chair, Department of Mathematics, Trin- TEXAS [email protected] ity University, San Antonio, TX 78212, no 000005 later than January 18, 2010. Applications TEXAS LUTHERAN UNIVERSITY should include a cover letter, curriculum Department of Mathematics vita, official transcripts, three letters of TRINITY UNIVERSITY recommendation specific to the position, Department of Mathematics invites ap- Department of Mathematics and a letter addressing teaching philoso- plications for a tenure-track position Chair of the phy and research interests. In the cover beginning August 2010. Requirements Department of Mathematics letter, please indicate whether or not you include Ph.D. in mathematics by appoint- plan to attend the San Francisco AMS-MAA ment date, ability to teach a wide range of Trinity University invites applications for Joint Mathematics Meetings in January. introductory and advanced undergraduate the rank of associate or full professor. Located in the culturally rich city of courses, and a commitment to mentor The successful candidate will have a Ph.D. San Antonio, Trinity University is a highly students in an undergraduate research in the mathematical sciences, a record of selective independent coeducational in-

JANUARY 2010 NOTICES OF THE AMS 87 Classified Advertisements stitution providing broad and intensive transcripts and arrange for three let- [email protected]; tel: +44 (0)23 educational opportunities primarily to ters of reference to be sent to: Lecturer 8059 3674; fax: +44 (0)23 8059 5147. undergraduates in liberal arts and sci- Search Committee, Mathematical Sciences To apply online visit: http://www. ences and in selected professional and Dept., UTEP, El Paso, TX 79968-0514 or to: jobs.soton.ac.uk. Alternatively tele- pre-professional fields. Small class sizes, [email protected]. phone +44 (0)23 8059 2750. As part of a ten-to-one student to faculty ratio, and ABOUT THE UNIVERSITY: The Univer- your completed application you will be exceptional facilities are some of the sity of Texas http://www.utep.edu required to include addresses of three qualities that distinguish Trinity as one at El Paso, a growing research-intensive referees and your full CV. of the nation’s best schools. For more doctoral university of 21,000+ students, Please quote the reference number information, please visit our web site at: is located in mountainous desert coun- 3957-09-E in all correspondence. The http://www.trinity.edu. try at the U.S.-México border, offering closing date for applications is 13 January Trinity University is an Affirmative Ac- opportunities to make a difference for 2010 at 12 noon. tion, Equal Opportunity Employer. Women many underrepresented learners in our At the University of Southampton we and minorities are encouraged to apply. rich cultural and natural environments. promote equality and value diversity. Trinity University does not discriminate in The Department of Mathematical Sciences 000008 educational or employment opportunities (http://www.math.utep.edu/) offers or decisions for qualified persons on the an undergraduate minor in mathematics basis of race, color, religion, sex, national TAIWAN teaching, a Master of Arts in Teaching origin, age, disability, sexual orientation, or veteran status. Mathematics degree, and also supports ACADEMIA SINICA 000011 a Master Mathematics Teacher Certifi- Institute of Mathematics cate. Women and minorities are strongly Taiwan, R.O.C. UNIVERSITY OF TEXAS, EL PASO encouraged to apply. The University of Department of Mathematics Texas at El Paso is an Equal Opportunity The Institute of Mathematics, Academia Sinica, is entrusted to promote math- Assistant/Associate Professor Employer (http://admin.utep.edu/ eoaa) committed to excellence through ematical research. The institute strives to (Mathematics Education) and Lecturer diversity. The university does not dis- become a national center of mathematical Position(s) criminate on the basis of race, color, na- sciences in Taiwan, as well as an interna- tional mathematical institute. Mathemati- The Department of Mathematical Sciences tional origin, sex, religion, age, disability, cal researchers are welcome to apply for at the University of Texas at El Paso seeks veteran’s status, or sexual orientation in regular positions as well as 2010-2011 to hire a tenure-track assistant or associ- employment or the provision of services. postdoctoral positions. ate professor in mathematics education 000010 and one or more lecturer(s) beginning There is also the Institute of Mathemat- fall 2010. ics Research Scholar position for young Ph.D. with exceptional research potential. For the tenure-track assistant or associ- ENGLAND This newly established position has the ate professor in mathematics education duration of 4-5 years. the successful candidates are expected UNIVERSITY OF SOUTHAMPTON Application for regular (resp. post- to have an active research program in School of Mathematics doctoral and Research Scholar ) positions mathematics education. Responsibilities Two Professorships in Pure completed by Jan. 15, 2010 (resp. May 31, include directing undergraduate/gradu- Mathematics 2010), will be given full consideration. ate students’ mathematics education re- search, developing/teaching mathematics We are seeking to appoint two outstanding Interested applicants should have the education courses at various levels, and mathematicians with excellent track re- following materials helping enhance recently-formed pro- cords of research and research leadership 1. curriculum vitae grams for in-service teachers. A doctorate in areas which will enhance and extend the 2. doctoral degree certificate in mathematics education or mathematics current interests of the Pure Mathematics 3. description of research with extensive experience in mathematics Group. For at least one of the positions 4. copies of representative publications education is required. Experience with preference may be given to experts with 5. three letters of reference doctoral programs, grant writing, and an international reputation for excellent either sent to : K-12 teaching are preferred. Interested ap- research in algebra, though exceptional The Chairman plicants or nominations should provide a candidates in any area will be seriously The Hiring Committee letter of interest, vita, graduate transcript considered. Institute of Mathematics (unofficial OK), research statement, state- Duties, as determined by the Head of Academia Sinica ment of teaching philosophy, writing sam- School, will include: research Nankang 11529, ple (e.g., article or grant), and 3-4 letters of international status in pure math- Taipei, Taiwan (including one on teaching experience) of ematics, applying for externally funded or input to the site: http://www.math. recommendation to: Mathematics Educa- research grants and enhancing the inter- sinica.edu.tw/applicant. For any tion Hiring Committee, Mathematical Sci- national profile of the research group, questions on applications, please contact: ences Dept., UTEP, El Paso, TX 79968-0514 teaching undergraduate and postgraduate [email protected]. or to: [email protected]. mathematics and supervision of research For general information about the Inst., The lecturer positions carry a load students. As part of the role you will also please see http://www.math.sinica. of fifteen hours per semester and the be expected to support effective manage- edu.tw/ primary responsibility is the teaching of ment and administration of the school. 000014 freshman and sophomore level mathemat- Both positions are available from 1 ics courses. Good communication skills October 2010, or as soon as possible and excellence in teaching are essential. The minimum qualifications for the posi- thereafter. tions consist of a Master’s degree in any It is intended that applicants short- field and at least 18 graduate semesters listed for interview will be invited to give a hours in mathematics; a Master’s or Ph.D. lecture in the school. The provisional date degree in the mathematical sciences is for interviews is Tuesday, 16 March 2010. preferred. Interested applicants or nomi- Informal enquiries can be made at nations should provide Curriculum Vitae, any time to Professor G. A. Niblo, email:

88 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Co-Sponsored Conferences State-of-the-Art Mathematical Modeling: The 2010 AAAS Meeting in San Diego

The 2010 Annual Meeting of the American Association Patterns and Causes of Violence for the Advancement of Science will be February 18–22, in •Eyes on the Screen: Communicating Science in the New San Diego, CA. The theme of this year’s meeting is “Bridg- Information Age ing Science and Society”, and the mathematics program at The above symposia are only a few of the nearly 200 the Annual Meeting strongly embraces this theme. Most of AAAS program offerings in the physical, life, social, and the symposia sponsored by Section A (Mathematics) feature biological sciences. For further information, including the mathematics applied to critical issues in society. schedule of talks, go to www.aaas.org/meetings. The Annual Meeting is organized into symposia which AAAS annual meetings are the showcases of American have three or more speakers, and often a discussant who science, and they encourage participation by mathemati- reflects on the talks that are given. Section A is spon- cians and mathematics educators. Section A acknowledges soring seven symposia this year, featuring outstanding the generous contribution of the American Mathematical expository talks by prominent mathematicians. The seven Society for travel support. The AAAS Program Commit- symposia sponsored by Section A this year are: tee is genuinely interested in offering symposia on pure •Sea Ice in a Changing climate: Modeling a Multiscale and applied mathematical topics of current interest, and Nonlinear System (organized by Ken Golden, University in previous years there have been symposia on subjects of Utah) such as origami, mathematics and the brain, quantum •First-person Solvers? Learning Mathematics in a Video- information theory, the changing nature of (organized by Keith Devlin, Stanford University) proof, and the of the performance •Moving Across Scales: Mathematics for Investigating Bio- of baseball players. logical Hierarchies (organized by Louis Gross, National The 2011 meeting will be held February 17–21 in Wash- Institute for Mathematical and Biological Synthesis) ington, DC. The Steering Committee for Section A seeks •Real Numbers: Mathematical Technologies for Counter- organizers and speakers who can present substantial new terrorism and Border Security (organized by Jonathan material in an accessible manner to a large scientific audi- David Farley, Johannes Kepler University Linz, and Tony ence. All are invited to attend the Section A Committee Harkin, Rochester Institute of Technology) business meeting in San Diego on Friday, February 19, •Traffic, Crowds and Society (organized by Nicoloa Bellomo, 2010, at 7:45 p.m., where we will brainstorm ideas for Politecnico di Torino) symposia. In addition, I invite you to send me, and en- •Mathematics and the Analysis of Fairness in Political courage your colleagues to send me, proposals for future Processes (organized by Michael Jones, American Math- AAAS annual meetings. ematical Society) The following are the members of the Steering Commit- •Can Singapore Mathematics Enhance Student Learning tee for Section A from February 2009 to February 2010: in the United States? (organized by Patsy Wang-Iverson, Chair: Keith Devlin (Stanford University) The Gabriella and Paul Rosenbaum Foundation) Chair-Elect: Kenneth Millett (University of California, Santa Barbara) Other symposia that will be of interest to the mathemat- Retiring Chair: William Jaco (Oklahoma State Univer- ical community include: sity) •Watching the Watchmen and Cheering the Heroes: The Secretary: Edward Aboufadel (Grand Valley State University) Science of Superheroes Members at Large: •The Future of the National Science Foundation on Its David Isaacson (Rensselaer Polytechnic Institute) 60th Anniversary Claudia Neuhauser (University of Minnesota) •Role of Community Colleges in Increasing Minority Warren Page (City University of New York) Students in the STEM Pipeline Tony Chan (Hong Kong University of Science and Tech- nology) •How Computational Science is Tackling the Grand Challenges Facing Science and Society —Edward Aboufadel, Secretary of Section A of the AAAS •Using GIS and to Better Understand [email protected]

JANUARY 2010 NOTICES OF THE AMS 89 Call for Organizers 2011 MRC Conferences

The American Mathematical Society invites individuals and summer conferences for the Mathematics Research Com- groups of individuals to serve as organizers of summer munities program. This administrative support allows conferences of the Mathematics Research Communities organizers to focus almost exclusively on providing a program to be held in Snowbird, Utah, in the summer of high-quality scientific program and enables both organiz- 2011. The 2011 MRC program is contingent on the receipt ers and participants to concentrate on the conference and of funding from the National Science Foundation. take advantage of the services, venue, and surrounding attractions. The AMS Meetings and Conferences Depart- About the Mathematics Research Communities ment provides general information and details online at Program http://www.ams.org/amsmtgs/mrc.html. Mathematics Research Communities (MRC), a newly- The program pays for air transportation for all orga- established program of the American Mathematical Society nizers and participants, as well as room and board for (AMS), nurtures early-career mathematicians—those who the stay at Snowbird and transportation by van from the are close to finishing their doctorates or have recently Salt Lake City airport to the resort and back. Each orga- finished—and provides them with opportunities to build nizer receives a stipend of US$3,000. Additionally, each social and collaborative networks through which they can organizing committee has the option of hiring a graduate inspire and sustain each other in their work. The struc- student to assist with work before and during the confer- tured program is designed to engage and guide all par- ence, for a stipend of US$3,000. Young mathematicians ticipants as they start their careers. The program includes apply to be participants in the MRC program by March 1, one-week summer conferences for each topic; Special 2011. The organizers of each summer conference choose Sessions at the national meeting; discussion networks among these applicants during the month of March 2011, by research topic; ongoing mentoring; and a longitudinal paying special attention to creating a diverse group of study of early career mathematicians. Those accepted participants. Although the main emphasis of the summer into this program will be fully supported for the summer conferences is the scientific program, it is important for conference, and will be partially supported for their par- the organizers to spend time with participants discussing ticipation in the following Joint Mathematics Meetings. The professional development topics, such as the job search, summer conferences of the MRC are held in the breathtak- writing grant proposals, giving talks, and other activities. ing mountain setting of the Snowbird Resort, Utah, where participants can enjoy the natural beauty and a collegial How To Apply atmosphere. The MRC program is open to individuals who Members of the MRC Advisory Board and AMS staff mem- are U.S. citizens as well as to those who are affiliated with bers are pleased to provide guidance on the preparation U.S. institutions. Women and underrepresented minorities of proposals. are especially encouraged to participate. The Division of Meetings and Professional Services of Proposals: the AMS coordinates the Mathematics Research Commu- The MRC Advisory Board encourages individuals to submit nities program, and supports organizers throughout the inquiries to ensure sufficient time for feedback. Proposals entire program. Questions about the overall MRC program need to include the following information: should be addressed to Ellen J. Maycock, Associate Execu- (1) Organizing Committee members, with names and tive Director, at [email protected] or 401-455-4101. addresses (4–5 for a 40-participant conference, 2–3 for a 20-participant conference); Summer Conferences (2) Scientific narrative addressing the focus, importance The American Mathematical Society’s Meetings and Con- and timeliness of the topic, no more than 5 pages long; ferences staff members arrange all the logistics of the (3) Organization of the week of the summer conference.

90 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Call for Organizers

Preparation and submission guidelines are available at Advertise in http://www.ams.org/amsmtgs/mrc-proposals.html. The current MRC Advisory Board members are listed at http://www.ams.org/amsmtgs/mrc-contact.html. the Send inquiries and proposals to: Notices of the American Mathematical Society Mathematics Research Communities American Mathematical Society by email: [email protected] by mail: 201 Charles Street, Providence, RI 02904 by fax: 401-455-4004 Deadlines for 2011 MRCs Target your Intent to submit proposal: March 2, 2010 Proposals: April 1, 2010 message All individuals who submit proposals will be notified 33,000 of the decisions before August 3, 2010. to active readers! About Snowbird Resort Situated in a beautiful, breathtaking mountain setting, Snowbird Resort provides an extraordinary environment for the MRC program. The atmosphere is comparable to the collegial gatherings at Oberwolfach and other con- ferences that combine peaceful natural ambience with stimulating meetings. MRC participants have access to a range of activities such as a tram ride to the top of the mountain, walking and hiking trails in the surrounding Make an impact through mountains, and in heated outdoor pools. Par- ticipants also enjoy the simpler pleasures of convening Display Advertising on the patios at the resort to read, work, and socialize. At Increase your sales and connect with new the conclusion of the day’s program colleagues may enjoy customers. informal gatherings to network and continue discussion of the day’s sessions over refreshments. Within a half hour The Notices of the AMS has the largest of the University of Utah, Snowbird is easily accessible circulation of any publication in the field. from the Salt Lake City International Airport. For more information about Snowbird Resort, see http://www. Select premium positions are available. snowbird.com. Target your audience through For myself and many others in mathematics, mentoring strong, eager students in small groups is one of the most Classified Advertising rewarding things we do. Imagine the opportunity to choose An effective and economical way to get the a group of advanced graduate students and beginning post- most applicants for your open position. docs in your field, from around the country, and spend an intense week getting to know them and helping them learn “We have been a long-time advertiser in the some new and valuable elements of your field. Notices and consider it a highly effective way —David Eisenbud, Chair, MRC Advisory Board to reach our customers in the mathematical —Ellen J. Maycock community.” Associate Executive Director —Cambridge University Press Meetings and Professional Services Please contact Anne Newcomb to create a program that will address your advertising needs. Anne Newcomb Phone: 401-455-4084 Email: [email protected]

Please visit our online media kit: http://www.ams.org/notices/adnot.htmlml

JANUARY 2010 NOTICES OF THE AMS 91 General Information Regarding Meetings & Conferences of the AMS

Speakers and Organizers: The Council has decreed that no Contributed Papers: The Society also accepts abstracts paper, whether invited or contributed, may be listed in the for ten-minute contributed papers. These abstracts will be program of a meeting of the Society unless an abstract of the grouped by related Mathematical Reviews subject classifi- paper has been received in Providence prior to the deadline. cations into sessions to the extent possible. The title and Special Sessions: The number of Special Sessions at an An- author of each paper accepted and the time of presenta- nual Meeting is limited. Special Sessions at annual meetings tion will be listed in the program of the meeting. Although are held under the supervision of the Program Committee an individual may present only one ten-minute contributed for National Meetings and, for sectional meetings, under the paper at a meeting, any combination of joint authorship supervision of each Section Program Committee. They are may be accepted, provided no individual speaks more than administered by the associate secretary in charge of that once. An author may speak by invitation in more than one meeting with staff assistance from the Meetings and Special Session at the same meeting. Conferences Department in Providence. (See the list of Other Sessions: In accordance with policy estab- associate secretaries on page 199 of this issue.) lished by the AMS Committee on Meetings and Con- Each person selected to give an Invited Address is also ferences, mathematicians interested in organizing a invited to generate a Special Session, either by personally session (for either an annual or a sectional meeting) organizing one or by having it organized by others. Propos- on employment opportunities inside or outside aca- als to organize a Special Session are sometimes solicited demia for young mathematicians should contact the either by a program committee or by the associate secre- associate secretary for the meeting with a proposal by the stated deadline. Also, potential organizers for poster tary. Other proposals should be submitted to the associate sessions on a topic of choice should contact the associate secretary in charge of that meeting (who is an ex officio secretary before the deadline. member of the program committee) at the address listed Abstracts: Abstracts for all papers must be received on page 199. These proposals must be in the hands of the by the meeting coordinator in Providence by the stated associate secretary at least seven months (for sectional deadline. Unfortunately, late papers cannot be accom- meetings) or nine months (for national meetings) prior to modated. the meeting at which the Special Session is to be held in Submission Procedures: Visit the Meetings and Confer- order that the committee may consider all the proposals ences homepage on the Web at http://www.ams.org/ for Special Sessions simultaneously. Special Sessions must meetings and select “Submit an abstract”. be announced in the Notices in a timely fashion so that any Society member who so wishes may submit an abstract Site Selection for Sectional Meetings for consideration for presentation in the Special Session. Sectional meeting sites are recommended by the associate Talks in Special Sessions are usually limited to twenty secretary for the section and approved by the Secretariat. minutes; however, organizers who wish to allocate more Recommendations are usually made eighteen to twenty- time to individual speakers may do so within certain limits. four months in advance. Host departments supply local A great many of the papers presented in Special Sessions information, ten to fifteen rooms with overhead projec- at meetings of the Society are invited papers, but any tors and a laptop projector for contributed paper sessions member of the Society who wishes to do so may submit and Special Sessions, an auditorium with twin overhead an abstract for consideration for presentation in a Special projectors and a laptop projector for Invited Addresses, Session, provided it is submitted to the AMS prior to the space for registration activities and an AMS book exhibit, special early deadline for consideration. Contributors and registration clerks. The Society partially reimburses should know that there is a limit to the size of a single for the rental of facilities and equipment and for staffing Special Session, so sometimes all places are filled by invi- the registration desk. Most host departments volunteer; tation. Papers submitted for consideration for inclusion to do so, or for more information, contact the associate in Special Sessions but not accepted will receive consid- secretary for the section. eration for a contributed paper session, unless specific instructions to the contrary are given. The Society reserves the right of first refusal for the pub- lication of proceedings of any Special Session. If published by the AMS, these proceedings appear in the book series Contemporary Mathematics. For more detailed information on organizing a Special Session, see www.ams.org/ meetings/specialsessionmanual.html.

92 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences Meetings & Conferencesof the AMS of the AMS

IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting.

Minhyong Kim, University College London, Title to be Seoul, South Korea announced. Ki-ahm Lee, Seoul National University, Title to be an- Ewha Womans University nounced. James T. McKernan, Massachusetts Institute of Tech- December 16–20, 2009 nology, Title to be announced. Wednesday – Sunday Frank Morgan, Williams College, Title to be announced. Meeting #1055 Hee Oh, Brown University, Title to be announced. Terence Tao, University of California Los Angeles, Title First Joint International Meeting of the AMS and the Korean to be announced. Mathematical Society. Van Vu, Rutgers University, Title to be announced. Associate secretary: Georgia Benkart Announcement issue of Notices: June 2009 Special Sessions Program first available on AMS website: Not applicable Algebraic Combinatorics, Dongsu Kim, Korea Advanced Program issue of electronic Notices: Not applicable Institute of Science & Technology, Soojin Cho, Ajou Uni- Issue of Abstracts: Not applicable versity, and Bruce Sagan, Michigan State University. Deadlines Algebraic Geometry, Yongnam Lee, Sogang University, For organizers: To be announced Ian Morrison, Fordham University, and James McKernan, For consideration of contributed papers in Special Ses- Massachusetts Institute of Technology. sions: To be announced Arithmetic of Quadratic Forms, Myung-Hwan Kim, For abstracts: Expired Seoul National University, and Wai Kiu Chan, Wesleyan University. The scientific information listed below may be dated. Combinatorial , Suk-Geun Hwang, Kyung- For the latest information, see www.ams.org/amsmtgs/ pook National University, and Bryan Shader, University internmtgs.html. of Wyoming. Computational Science and Engineering, Jeehyun Lee, Invited Addresses Yonsei University, and Max Gunzburger, Florida State Young Ju Choi, Pohang University of Science and Tech- University. nology, Title to be announced. Creativity, Giftedness, and Talent Development in Math- Bumsig Kim, Korea Institute for Advanced Study, Title ematics, Kyeong-Hwa Lee, Seoul National University, and to be announced. Bharath Sriraman, University of Montana.

JANUARY 2010 NOTICES OF THE AMS 93 Meetings & Conferences

Cryptography, Hyang-Sook Lee, Ewha Womans Univer- Operator Theory in Analytic Function Spaces, Hyung sity, and Alice Silverberg, University of California Irvine. Woon Koo and Boo Rim Choe, Korea University, and Kehe Differential and Integral Geometry, Young Jin Suh, Zhu, SUNY at Albany. Kyungpook National University, Byung Hak Kim, Kyung Representation Theory, Jae-Hoon Kwon, University of Hee University, Yongdo Lim, Kyungpook National Univer- Seoul, and Kyu-Hwan Lee, University of Connecticut. sity, Gaoyong Zhang, Polytechnic University of NYU, and Spectral Geometry and Global Analysis, Jinsung Park, Jiazu Zhou, Southwest University. Korea Institute for Advanced Study, and Maxim Braver- Ergodic Theory and Dynamical Systems, Keonhee Lee, man, Northeastern University. Chungnam National University, Jeong-Yup Lee, Korea In- Symplectic Geometry and Mirror Symmetry, Jae-Suk stitute for Advanced Study, and Jane Hawkins, University Park, Yonsei University, Cheol-Hyun Cho, Seoul National of North Carolina. University, and Yong-Geun Oh, University of Wisconsin. Financial Mathematics, Hyejin Ku, York University, Hyunggeon Koo, Ajou University, and Kiseop Lee, Uni- versity of Louisville. San Francisco, Geometric Structures and Geometric Group Theory, In Kang Kim, Korea Advanced Institute of Science & Technol- California ogy, and Seonhee Lim, . Geometry of Varieties, Syzygies and Computations, Moscone Center West and the San Fran- Sijong Kwak, Korea Advanced Institute of Science & Tech- cisco Marriott nology, Hyungju Park, Pohang University of Science and Technology, and Jerzy Weyman, Northeastern University. January 13–16, 2010 Harmonic Analysis and Its Applications, Sunggeum Wednesday – Saturday Hong, Chosun University, and Andreas Seeger, University of Wisconsin. Meeting #1056 Inverse Problems and , Hyeonbae Kang, Inha Joint Mathematics Meetings, including the 116th Annual University, and Gunther Uhlmann, University of Wash- Meeting of the AMS, 93rd Annual Meeting of the Math- ington. ematical Association of America (MAA), annual meetings Knot Theory and Related Topics, Jae Choon Cha, Po- of the Association for Women in Mathematics (AWM) and hang University of Science and Technology, and Kent Orr, the National Association of Mathematicians (NAM), and the Indiana University. winter meeting of the Association for Symbolic Logic (ASL), Lie Symmetries and Solitons, Woo-Pyo Hong, Catholic with sessions contributed by the Society of Industrial and University of Daegu, Anjan Biswas, Delaware State Uni- Applied Mathematics (SIAM). versity, and Chaudry M. Khalique, North-West University. Associate secretary: Matthew Miller Mathematical Analysis in Fluid, Gas Dynamics, and Announcement issue of Notices: October 2009 Related Equations, Minkyu Kwak, Chonnam National Program first available on AMS website: November 1, 2009 University, Hyeong-Ohk Bae, Ajou University, Seung-Yeal Program issue of electronic Notices: January 2010 Ha, Seoul National University, and Simon Seok Hwang, Issue of Abstracts: Volume 31, Issue 1 LaGrange College. Mathematical Biology, Eunok Jung, Konkuk University, Deadlines and Jae-Hun Jung, SUNY at Buffalo. For organizers: Expired Mathematical Logic and Foundation, Byunghan Kim, For consideration of contributed papers in Special Ses- Yonsei University, and Ivo Herzog, Ohio State University. sions: Expired Modular Forms and Related Topics, Youn-Seo Choi, For abstracts: Expired Korea Institute for Advanced Study, YoungJu Choie, Po- hang University of Science and Technology, and Wen-ching The scientific information listed below may be dated. Winnie Li, Pennsylvania State University. For the latest information, see www.ams.org/amsmtgs/ Noncommutative Ring Theory, Yang Lee, Pusan Na- national.html. tional University, Nam Kyun Kim, Hanbat National Uni- versity, and Pace P. Nielsen, Brigham Young University. Program Updates Nonlinear Elliptic Partial Differential Equations, Jaey- The AMS Committee on Science Policy–MAA Science oung Byeon, Pohang University of Science and Technol- Policy Committee Government Speaker presentation on ogy, and Zhi-Qiang Wang, Utah State University. Friday afternoon has been cancelled. Nonlinear Partial Differential Equations and Viscosity So- lutions, Ki-ahm Lee, Seoul National University, and Inwon MAA Program Updates Kim, University of California Los Angeles. The SIGMAA on Environmental Mathematics will have Operator Theory and Operator Algebras, Il Bong Jung, a Guest Lecture on Thursday, 5:30 p.m. to 6:30 p.m., fol- Kyungpook National University, Ja A. Jeong, Seoul Na- lowed by a Business Meeting, 6:30 p.m. to 7:00 p.m. tional University, George Exner, Bucknell University, and The Art of Bruce Beasley, Friday, 8:00 p.m. to 9:00 Ken Dykema, Texas A&M University. p.m. Come meet this internationally known artist as he

94 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences discusses his sculptures that feature multiple intersect- Advances in Algebraic and Geometric Combinatorics ing forms developed using a computer program. Im- (Code: SS 14A), Richard Ehrenborg and Margaret A. Re- ages of Bruce Beasley’s sculptures can be seen at www. addy, University of Kentucky. brucebeasley.com/home.htm. An article on his works Analysis and Control of Dispersive Partial Differential appears in the December 2006 issue of Hyperseeing, www. Equations (Code: SS 25A), Michael J. Goldberg and Bingyu isama.org/hyperseeing/. Sponsored by the SIGMAA on Zhang, University of Cincinnati. Mathematics and the Arts. Combinatorial Algebra (Code: SS 7A), Juan C. Migliore, University of Notre Dame, and Uwe Nagel, University of Social Events Updates Kentucky. Ohio State University Alumni and Friends Reception, (Code: SS 1A), Alberto Corso, Friday, 6:00 p.m. to 8:00 p.m. University of Kentucky, Claudia Polini, University of Notre Dame, and Bernd Ulrich, Purdue University. Complex Analysis and Potential Theory (Code: SS 4A), Lexington, Kentucky James E. Brennan and Vladimir Eiderman, University of Kentucky. University of Kentucky Financial Mathematics and Statistics (Code: SS 22A), Kiseop Lee, University of Louisville, and Jose Figueroa- March 27–28, 2010 Lopez, Department of Statistics, Purdue University. Saturday – Sunday Function Theory, Harmonic Analysis, and Partial Dif- ferential Equations (Code: SS 5A), Joel Kilty, Centre Col- Meeting #1057 lege, Irina Mitrea, Worcester Polytechnic Institute, and Southeastern Section Katharine Ott, University of Kentucky. Associate secretary: Matthew Miller Geometric Function Theory and Analysis on Metric Announcement issue of Notices: January 2010 Spaces (Code: SS 3A), John L. Lewis, University of Ken- Program first available on AMS website: February 11, 2010 tucky, and Nageswari Shanmugalingam, University of Program issue of electronic Notices: March 2010 Cincinnati. Issue of Abstracts: Volume 31, Issue 2 Homotopy Theory and Geometric Aspects of Algebraic Topology (Code: SS 16A), Serge Ochanine, University of Deadlines Kentucky, and Marian F. Anton, Centre College. For organizers: Expired Interactions between Logic, Topology, and Complex Analysis (Code: SS 23A), Matt Insall, Missouri University For consideration of contributed papers in Special Ses- of Science and Technology, and Malgorzata Marciniak, sions: Expired University of Toledo. For abstracts: January 26, 2010 (NEW DATE!) Inverse Problems, Riemann-Hilbert Problems, and Non- linear Dispersive Equations (Code: SS 10A), Peter A. Perry, The scientific information listed below may be dated. University of Kentucky, and Peter Topalov, Northeastern For the latest information, see www.ams.org/amsmtgs/ University. sectional.html. Large Scale Matrix Computation (Code: SS 19A), Qiang Invited Addresses Ye, University of Kentucky, and Lothar Reichel, Kent State University. , Courant Institute–New York University, Percy A. Deift Mathematical Economics (Code: SS 21A), Adib Bagh and Open problems in integrable systems and random matrix Robert E. Molzon, University of Kentucky. theory. Mathematical Problems in Mechanics and Materials Sci- Irina Mitrea, Worcester Polytechnic Institute, Recent ence (Code: SS 20A), Michel E. Jabbour and Chi-Sing Man, progress in the area of elliptic boundary value problems University of Kentucky, and Kazumi Tanuma, Gunma on rough domains. University. Bruce Reznick, University of Illinois at Urbana Cham- Mathematical Theory (Code: SS 18A), Al Sha- paign, The secret lives of polynomial identities. pere, Department of Physics and Astronomy, University Bernd Ulrich, Purdue University, Title to be announced. of Kentucky, Eric Sharpe, Physics Department, Virginia Doron Zeilberger, Rutgers University, 3x+1 (Erdo˝s Polytechnic Institute and State University, and Mark A. Memorial Lecture). Stern, Duke University. Mathematics Outreach (Code: SS 26A), Carl W. Lee and Special Sessions David C. Royster, University of Kentucky. Advances in Algebraic Coding Theory (Code: SS 6A), Matroid Theory (Code: SS 9A), Jakayla Robbins, Uni- Heide Gluesing-Luerssen, University of Kentucky, and versity of Kentucky, and Xiangqian Zhou, Wright State Jon-Lark Kim, University of Louisville. University. Advances in Algebraic Statistics (Code: SS 2A), Sonja Multivariate and Banach Space Polynomials (Code: SS Petrovic´, University of Illinois, Chicago, and Ruriko Yo- 15A), Richard A. Aron, Kent State University, and Law- shida, University of Kentucky. rence A. Harris, University of Kentucky.

JANUARY 2010 NOTICES OF THE AMS 95 Meetings & Conferences

Noncommutative Algebraic Geometry (Code: SS 24A), Gratz Park Inn, 120 W. Second Street, Lexington, KY Dennis S. Keeler and Kimberly Retert, Miami University. 40507; 859-231-1777. See http://www.gratzparkinn. Partial Differential Equations in Geometry and Varia- com/. The hotel is 1.7 miles from the meeting site. Price tional Problems (Code: SS 8A), Luca Capogna, University per room is US$99/king or double queen. This historic inn of Arkansas, and Changyou Wang, University of Kentucky. is beautifully appointed with individually decorated rooms Recent Progress in Numerical Methods for Partial Differ- with fine 19th century antique reproductions and com- ential Equations (Code: SS 12A), Alan Demlow, University plimentary high-speed wireless Internet access. On-site of Kentucky, and Xiaobing H. Feng, University of Tennes- dining is available at Jonathan at Gratz Park. Deadline to see at Knoxville. book and obtain this reduced rate is February 26, 2010. Relative Homological Algebra (Code: SS 11A), Edgar Be sure to check cancellation and early checkout policies. E. Enochs, University of Kentucky, and Alina C. Iacob, Extended Stay America Hotel Tates Creek Road, 3575 Georgia Southern University. Tates Creek Road, Lexington, KY 40517; 859-271-6160. Sharp Spectral Estimates in Analysis, Geometry, and See http://www.extendedstayamerica.com/hotels/ Probability (Code: SS 17A), Richard S. Laugesen and Bart- lexington-tates-creek.html. The hotel is 5.5 miles lomiej Siudeja, University of Illinois. from the meeting site. Price per room is US$39.99 and Spectral and Transport Properties of Schrödinger Opera- includes a kitchen with refrigerator, microwave, and tors (Code: SS 13A), Peter D. Hislop, University of Ken- stovetop with cooking utensils; workspace with computer tucky, and Jeffrey H. Schenker, Michigan State University. dataport, free local phone calls, swimming pool, and pet- friendly rooms. Wireless Internet is available for a one- Accommodations time fee of $4.99 per stay, NOTE: Participants who have Participants should make their own arrangements directly difficulty climbing stairs should book a room on level 2 with the hotel of their choice as early as possible and of the hotel, which is the main access floor for the hotel. state that they will be part of the Kentucky Math Confer- Deadline to book and obtain this reduced rate is Feb- ence group. Special rates have been negotiated with the ruary 26, 2010. Be sure to check cancellation and early hotels you will find in this announcement. Rates quoted checkout policies. do not include sales tax. The AMS is not responsible for Marriott at Griffin , 1800 Newtown Pike, Lexington, rate changes or for the quality of the accommodations. KY 40511. 800-228-9290 for front desk; 859-255-9944 for Cancellation and early checkout policies vary; be sure to fax. See http://www.marriott.com/hotels/travel/ check when you make your reservation. lexky-griffin-gate-marriott-resort-and-spa/. The University Inn, 1229 S. Limestone, Lexington, KY hotel is 5 miles from the meeting site. Price per room is 40503. 859-278-6625 for front desk; 859-278-4530 for fax. US$84 standard rate (typically king bed) includes in-room See http://www.uinn.biz/index2.htm. Prices per room coffee maker; wired Internet, including all local and long are US$79/king and US$85/two beds; includes oversized distance calls, is available for US$12.95/day. Hotel fea- rooms, free wireless, and refrigerator; located 1.3 miles from the meeting site. Deadline to book and obtain this tures a luxurious full-service spa. There is complimentary reduced rate is February 26, 2010. Be sure to check can- on-site parking; valet parking is US$20 daily. This is a cellation and early checkout policies. smoke-free property. Deadline to book and obtain this Holiday Inn Express Hotel & Suites, 1000 Export Street, reduced rate is February 26, 2010. Be sure to check can- Lexington, KY 40504. 859-389-6800 for front desk; (859- cellation and early checkout policies. 389-6801) for fax. See http://www.hiexpress.com/h/d/ Food Service ex/1/en/hotel/LEXKY/welcome?start=1. Price per room is US$84 and includes free continental breakfast; There is no dining on campus during the weekend. Within health and fitness center; indoor pool; complimentary a short walking distance from the Patterson Office Tower wireless; business services including copying, computer, there are a variety of choices for dining. Additional infor- and printer; located 1.2 miles from the meeting site. mation and recommendations will be provided on-site. Deadline to book and obtain this reduced rate is Feb- ruary 26, 2010. Be sure to check cancellation and early Local Information checkout policies. The University’s website is http://www.uky.edu; the Lexington Downtown Hotel & Conference Center, 369 website of the Department of Mathematics is at http:// West Vine Street, Lexington, KY 40507; 877-539-1648 or 859- www.math.uky.edu. The campus of the University of 231-9000. See http://www.lexingtondowntownhotel. Kentucky offers wireless Internet connections to everyone. com/. Price per room is US$109, and includes coffee/tea Visitors will have wireless guest access without the need makers, spacious executive work desk, fitness center; of a password. refrigerators and microwaves available on request; compli- mentary airport shuttle. Wireless is free in the public areas Other Activities on the first two floors; in-room service is available for Book Sales: Stop by the on-site AMS Bookstore and re- $9.95/day. The hotel is 1.5 miles from the meeting site. view the newest titles from the AMS, enter the free book Deadline to book and obtain this reduced rate is Febru- drawing, enjoy up to 25% off all AMS publications, or take ary 26, 2010. Be sure to check cancellation and early checkout home an AMS t-shirt! Complimentary coffee will be served policies. courtesy of AMS Membership Services.

96 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences

AMS Editorial Activity: An acquisitions editor from the Travel, Campus Map, and Directions AMS book program will be present to speak with prospective A campus map is found at http://www.uky.edu/ authors. If you have a book project that you would like CampusGuide/. Lexington is served by the Bluegrass Air- to discuss with the AMS, please stop by the book exhibit. port (LEX), 4000 Terminal Dr., Lexington, KY 40510. Parking Driving Directions to Campus A campus map is found at http://www.uky.edu/ For more precise information, please use your favorite CampusGuide/. It can be used to identify a number of free parking facilities in the proximity of the White Hall Internet mapping service (e.g., http://maps.yahoo.com, Classroom Building (CB) and the Patterson Office Tower http://www/mapquest.com, http://www.randmcnally. (POT). In addition, many hotels are in reasonable walking com/). Here are some general directions. distance from campus. South on I-64 or I-75 NOTE (I-64 and I-75 merge just south of Georgetown, Registration and Meeting Information Ky.) Follow I-64 or I-75 South to Exit 113 (marked Paris/ Invited Addresses, all sessions, registration, and the AMS Lexington). Turn right off the exit ramp onto North Broad- book exhibit will be held in the White Hall Classroom way (U.S. 68). Follow through downtown for 3 miles. One Building (CB) on the campus of the University of Kentucky, block past the Hyatt Regency Hotel, turn left at the light Lexington, Kentucky. The registration desk will be open onto Maxwell Street. At the 5th light, turn right onto Rose Saturday, March 27th, 7:30 a.m.–4:00 p.m., and Sunday, Street. At the next light, turn right. Just past Papa John’s March 28th, 8:00 a.m.–noon. Fees are US$40 for AMS is Memorial Coliseum and two parking lots within walking members, US$60 for nonmembers; and US$5 for students, distance of the White Hall Classroom Building. unemployed mathematicians, and emeritus members. Fees are payable onsite via cash, check, or credit card. Please North on I-75 note that discounted registration fees will be available on Follow I-75 North to Exit 104 (marked Athens/Lexington). site to those participants who choose to register for both Turn left off of the ramp onto Athens- Boonesboro Road. the AMS and MAA meetings (see Satellite Mathematics Follow for 8.2 miles to downtown. Turn left onto Rose Events below). Street. At the 4th light, turn right onto Avenue of Champi- Social Event ons. Just past Papa John’s is Memorial Coliseum and two The Department of Mathematics will host a reception for parking lots within walking distance of the White Hall all participants. The reception will be held from 6:15 p.m. Classroom Building. to 7:45 p.m. at the King Alumni House. Light snacks, hors South and Southwest on Bluegrass Parkway d’oeuvres and beverages will be served. The AMS thanks Follow the Bluegrass Parkway to Lexington. Turn right off the department for its hospitality. The social event will then be followed at 8:00 p.m. by the ramp onto Route 60 (Versailles Road). Follow until the Annual Erdo˝s Memorial Lecture delivered by Doron it becomes a one-way street, West Maxwell. At the 6th Zeilberger Rutgers University. light, turn right onto Rose Street. At the next light, turn right. Just past Papa John’s is Memorial Coliseum and two Satellite Mathematics Events parking lots within walking distance of the White Hall Annual KY-MAA Meeting: The Annual Meeting of the Classroom Building. Kentucky Section of the Mathematical Association of America will be held on Friday afternoon and Saturday Car Rental morning, (March 26–27, 2010) and will partially overlap Avis Rent A Car is the official car rental company for the with the AMS meeting. In fact, Professor Bruce Reznik meeting. Depending on variables such as location, length will be a joint speaker at both meetings. The other in- of rental, and size of vehicle, Avis will offer participants vited addresses of the MAA meeting will be given by the the best available rate which can range from 5%–25% teaching award co-winners David Shannon, Transylvania discount off regular rates. Participants must use the as- University, Christine Shannon, Centre College, and signed Meeting Siegel, Towson University, a former secretary of the MAA. (J098887) and meet Avis rate requirements to receive The MAA meeting will also offer a number of short talks the discount. (Rate discounts are available at all corporate delivered by undergraduate students, graduate students, and participating licensee locations.) Reservations can be and faculty from institutions across the Commonwealth made by calling 800-331-1600 or online at http://www. of Kentucky. Hayden-Howard Lecture: To further raise the research avis.com. quality of the events hosted during the weekend at the All car rentals include unlimited free mileage and are University of Kentucky, the Department of Mathematics available to renters 25 years and older. Renters must also will host its Annual Hayden-Howard Lecture on Thursday, meet Avis’s driver and credit requirements. Return to the March 25, 2010, at 4:00 p.m. The lecture will be delivered same rental location or additional surcharges may apply. by David Eisenbud, University of California at Berkeley, Rates do not include any state or local surcharges, tax, a former president of the AMS. optional coverages, or gas refueling charges.

JANUARY 2010 NOTICES OF THE AMS 97 Meetings & Conferences

Weather March temperatures in Lexington range from a minimum St. Paul, Minnesota of 35 to a maximum of 55, with an average temperature Macalester College of 45. The adage is “if you don’t like the weather, wait 5 minutes” as it changes often. April 10–11, 2010 Information for International Participants Saturday – Sunday Visa regulations are continually changing for travel Meeting #1058 to the United States. Visa applications may take from Central Section three to four months to process and require a personal Associate secretary: Georgia Benkart interview, as well as specific personal information. Inter- Announcement issue of Notices: February 2010 national participants should view the important informa- Program first available on AMS website: February 25, 2010 tion about traveling to the U.S. found at http://www7. Program issue of electronic Notices: April 2010 nationalacademies.org/visas/Traveling_to_ Issue of Abstracts: Volume 31, Issue 2 US.html and http://travel.state.gov/visa/index. html. If you need a preliminary conference invitation in Deadlines order to secure a visa, please send your request to dls@ For organizers: Expired ams.org. For consideration of contributed papers in Special Ses- If you discover you do need a visa, the National Acad- sions: December 22, 2009 emies website (see above) provides these tips for success- For abstracts: February 16, 2010 ful visa applications: * Visa applicants are expected to provide evidence that The scientific information listed below may be dated. they are intending to return to their country of residence. For the latest information, see www.ams.org/amsmtgs/ Therefore, applicants should provide proof of “binding” sectional.html. or sufficient ties to their home country or permanent residence abroad. This may include documentation of Invited Addresses the following: Charles Doering, University of Michigan, Title to be – family ties in home country or country of legal announced. permanent residence Matthew James Emerton, Northwestern University, – property ownership Title to be announced. – bank accounts Vladimir Touraev, Indiana University, Title to be an- – employment contract or statement from employer nounced. stating that the position will continue when the employee Peter Webb, University of Minnesota, Title to be an- returns; nounced. * Visa applications are more likely to be successful if done in a visitor’s home country than in a third country; Special Sessions * Applicants should present their entire trip itinerary, Applications of a Geometric Approach to Chaotic Dy- including travel to any countries other than the United namics (Code: SS 16A), Evelyn Sander, George Mason States, at the time of their visa application; University, Judy Kennedy, Lamar University, and James * Include a letter of invitation from the meeting orga- Yorke, University of Maryland. nizer or the U.S. host, specifying the subject, location and Cohomology and Representation Theory of Algebraic dates of the activity, and how travel and local expenses Groups and Related Structures (Code: SS 7A), Christopher will be covered; Bendel, University of Wisconsin-Stout, Bobbe Cooper, * If travel plans will depend on early approval of the University of Minnesota, and Terrell Hodge, Western visa application, specify this at the time of the application; Michigan University. * Provide proof of professional scientific and/or Combinatorial Representation Theory (Code: SS 3A), educational status (students should provide a university Tom Halverson, Macalester College, and Victor Reiner, transcript). University of Minnesota. This list is not to be considered complete. Please visit Theory (Code: SS 5A), Michael Ax- the websites above for the most up-to-date information. tell, University of St. Thomas, and Joe Stickles, Millikin University. Differential Equations and Applications (Code: SS 15A), Nicolai Tarfulea, Purdue University Calumet, and Catalin Turc, Case Western Reserve University. Fractals, Convolution Measures, and Frames (Code: SS 13A), Keri Kornelson, University of Oklahoma, and Karen Shuman, Grinnell College.

98 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences

Geometric Flows, Moving Frames and Integrable Systems The scientific information listed below may be dated. (Code: SS 8A), Gloria Mari-Beffa, University of Wisconsin- For the latest information, see www.ams.org/amsmtgs/ Madison, and Peter Olver, University of Minnesota. sectional.html. Hecke Algebras and Deformations in Geometry and Topology (Code: SS 11A), Matthew Douglass and Anne Invited Addresses Shepler, University of North Texas. Kenneth Bromberg, University of Utah, Title to be an- Mathematical Developments in Cell and Systems Biology nounced. (Code: SS 14A), Anastasios Matzavinos, Iowa State Uni- Danny Calegari, California Institute of Technology, versity, and Nicoleta Eugenia Tarfulea, Purdue University Title to be announced. Calumet. Ioana Dumitriu, , Title to be Matrices and Graphs (Code: SS 9A), Luz M. DeAlba, announced. Drake University, Adam Berliner, St. Olaf College, Leslie Steffen Rohde, University of Washington, Title to be Hogben, Iowa State University, and In-Jae Kim, Minnesota announced. State University. Partition Theory and the Combinatorics of Symmetric Special Sessions Functions (Code: SS 6A), Eric S. Egge, Carleton College, and Dyadic and Non-Dyadic Harmonic Analysis (Code: SS Kristina Garrett, St. Olaf College. 2A), M. Cristina Pereyra, University of New Mexico, and Pattern Formation in Biological Systems (Code: SS 12A), Stephanie A. Salomone, University of Portland. Magdalena Skolarska, University of St. Thomas, and Chad Financial Mathematics: The Mathematics of Financial Topaz, Macalester College. Markets and Structures (Code: SS 4A), Maria Cristina Physical Knotting and Linking and its Applications Mariani, University of Texas at El Paso, Ionut Florescu, (Code: SS 10A), Eric Rawden, University of St. Thomas, Stevens Institute of Technology, and Maria P. Beccar- Yuanan Diao, University of North Carolina at Charlotte, Varela, University of Texas at El Paso. and Claus Ernst, Western Kentucky University. Function Spaces, PDEs and Nonlinear Analysis (Code: SS Probabilistic and Extremal Combinatorics (Code: SS 2A), 10A), Osvaldo Mendez, Behzad Rouhani, and Mohamed Ryan Martin and Maria Axenovich, Iowa State University. Amine Khamsi, University of Texas at El Paso. Quantum Invariants of 3-manifolds and Modular Cat- Geometric Combinatorics (Code: SS 6A), Art M. Duval, University of Texas at El Paso, and , Uni- egories (Code: SS 1A), Thang Le, Georgia Institute of Tech- Jeremy Martin versity of Kansas. nology, Eric Rowell, Texas A&M University, and Vladimir Geometric Function Theory (Code: SS 14A), Lukas Touraev, Indiana University. Geyer, Montana State University, and Donald Marshall Universal Algebra and Order (Code: SS 4A), Jeffrey and Steffen Rohde, University of Washington. Olson, Norwich University, Jeremy Alm, Illinois College, Geometric Structures and PDEs (Code: SS 8A), Charles Kristi Meyer, Wisconsin Lutheran College, and Japheth Boyer and Dimiter Vassilev, University of New Mexico. Wood, Bard College. Harmonic Analysis and Partial Differential Equations (Code: SS 5A), Matthew Blair, University of New Mexico, and Hart Smith, University of Washington. Albuquerque, New Kleinian Groups and Teichmueller Theory (Code: SS 15A), Kasra Rafi, University of Oklahoma, Hossein Mexico Namaze, University of Texas, and Kenneth Bromberg, University of Utah. University of New Mexico Positivity in Noncommutative Settings (Code: SS 12A), Roger Roybal, California State University Channel Islands, April 17–18, 2010 and Terry Loring, University of New Mexico. Saturday – Sunday Random Matrix Theory and Applications (Code: SS 13A), Ioana Dumitriu, University of Washington, and Raj Rao, Meeting #1059 University of Michigan. Western Section Selected Topics in Analysis and Numerics for PDEs Associate secretary: Michel L. Lapidus (Code: SS 11A), Thomas Hagstrom, Southern Methodist Announcement issue of Notices: February 2010 University, and Stephen Lau and Jens Lorenz, University Program first available on AMS website: March 4, 2010 of New Mexico. Program issue of electronic Notices: April 2010 Strongly-nonlinear Phenomena: Theory and Applica- Issue of Abstracts: Volume 31, Issue 3 tions to Nonlinear Optics, Hydrodynamics, Bose–Einstein Condensation and Biology (Code: SS 9A), Alejandro Deadlines Aceves, Southern Methodist University, and Alexander For organizers: Expired Korotkevich and Pavel Lushnikov, University of New For consideration of contributed papers in Special Ses- Mexico. sions: December 29, 2009 Subjects in between Pure and Applied Mathematics For abstracts: February 23, 2010 (Code: SS 7A), Hanna Makaruk and Robert Owczarek, Los Alamos National Laboratory.

JANUARY 2010 NOTICES OF THE AMS 99 Meetings & Conferences

Topics in Geometric Group Theory (Code: SS 1A), Mat- Homology Theories for Knots and Skein Modules. (Code: thew Day, California Institute of Technology, Daniel Peter SS 3A), Mikhail Khovanov, Columbia University, and Jozef Groves, University of Illinois at Chicago, Jason Manning, H. Przytycki and Radmila Sazdanovic, George Washing- SUNY at Buffalo, and Henry Wilton, University of Texas. ton University. Trends in Commutative Algebra (Code: SS 3A), Louiza Invariants of Knots, Links, and 3-Manifolds. (Code: SS Fouli, New Mexico State University, and Janet Vassilev, 4A), Abhijit Champanerkar and Ilya S. Kofman, College University New Mexico. of , CUNY, and Philip J. P. Ording, Medgar Evers College, CUNY. Lie Algebras and Representation Theory (Code: SS 8A), Newark, New Jersey Gautam Chinta, City College, City University of New York, Andrew Douglas, City College of Technology, City Univer- New Jersey Institute of Technology sity of New York, and Bart Van Steirtghem, Medgar Evers College, City University of New York. May 22–23, 2010 Teichmueller Theory, , and Com- Saturday – Sunday plex Dynamics (Code: SS 5A), Zheng Huang, College of Staten Island, CUNY, and Ren Guo, University of Min- Meeting #1060 nesota. Eastern Section Topological and Computational Dynamics (Code: SS Associate secretary: Steven H. Weintraub 7A), Jean-Philippe Lessard, Institute for Advanced Study Announcement issue of Notices: March 2020 and Rutgers University, and Konstantin M. Mischaikow, Program first available on AMS website: April 8, 2010 Rutgers University. Program issue of electronic Notices: May 2020 Issue of Abstracts: Volume 31, Issue 3

Deadlines Berkeley, California For organizers: Expired University of California Berkeley For consideration of contributed papers in Special Ses- sions: February 2, 2010 June 2–5, 2010 For abstracts: March 30, 2010 Wednesday – Saturday

The scientific information listed below may be dated. Meeting #1061 For the latest information, see www.ams.org/amsmtgs/ Eighth Joint International Meeting of the AMS and the sectional.html. Sociedad Matemática Mexicana. Associate secretary: Susan J. Friedlander Invited Addresses Announcement issue of Notices: March 2010 Simon Brendle, Stanford University, Hamilton’s Ricci Program first available on AMS website: April 22, 2010 flow and the sphere theorem in geometry. Program issue of electronic Notices: June 2010 Konstantin M. Mischaikow, Rutgers University, Com- Issue of Abstracts: Volume 31, Issue 3 putational topology applied to the global dynamics of nonlinear systems. Deadlines Ricardo H. Nochetto, University of Maryland, Curvature For organizers: Expired driven flows in deformable domains. For consideration of contributed papers in Special Ses- Richard E. Schwartz, Brown University, Polygonal outer sions: February 16, 2010 billiards. For abstracts: April 13, 2010

Special Sessions The scientific information listed below may be dated. Automorphic Forms, L-functions, and Applications. For the latest information, see www.ams.org/amsmtgs/ (Code: SS 6A), Ameya Pitale, American Institute of Math- internmtgs.html. ematics, and Anantharam Raghuram, Oklahoma State University. Invited Addresses Expandable Computations, Algorithms, Methodologies Alejandro Adem, University of British Columbia and and Experiments for Engineering Interpretation. (Code: SS PIMS, Title to be announced. 1A), Mustapha S. Fofana, Worcester Polytechnic Institute, Peter W-K Li, University of California Irvine, Title to be Marie D. Dahleh, Harvard School of Engineering and Ap- announced. plied Sciences, Harvard University, and Kenji Kawashima, Ernesto Lupercio, CINVESTAV, Title to be announced. Precision and Laboratory, Institute of Victor Perez Abreu, CIMAT, Title to be announced. Technology. Alberto Verjovsky, IM-UNAM, Title to be announced. Groups, Computations, and Applications (Code: SS 2A), Maciej Zworski, University of California Berkeley, Title Delaram Kahrobaei, City University of New York. to be announced.

100 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences

Special Sessions Nonlinear Analysis and Geometry (Code: SS 1A), Ta- Algebraic Topology and Related Topics (Code: SS 3A), deusz Iwaniec, Leonid V. Kovalev, and Jani Onninen, Alejandro Adem, University of British Columbia, Gunnar Syracuse University. E. Carlsson and Ralph L. Cohen, Stanford University, and Several Complex Variables (Code: SS 3A), Dan F. Coman Ernesto Lupercio, CINVESTAV. and Evgeny A. Poletsky, Syracuse University. Analytic Aspects of Differential Geometry (Code: SS 2A), Nelia Charalambous, ITAM, Lizhen Ji, University of Michi- gan, and Jiaping Wang, University of Minnesota. Los Angeles, Commutative Algebra and Representation Theory (Code: SS 7A), David Eisenbud and Daniel M. Erman, Uni- California versity of California, Berkeley; Jose Antonio de la Pena, UNAM, and Rafael Villareal, Cinvestav-IPN. University of California Los Angeles Dynamical Systems (Code: SS 4A), Alberto Verjovsky, October 9–10, 2010 IM-UNAM, and Rodrigo Perez, Indiana University-Purdue University, Indianapolis. Saturday – Sunday Harmonic Analysis, Microlocal Analysis, and Partial Dif- Meeting #1063 ferential Equations (Code: SS 1A), Gunther Uhlmann, Uni- Western Section versity of Washington, and Salvador Perez Esteva, UNAM. Associate secretary: Michel L. Lapidus Low Dimensional Topology (Code: SS 8A), Kenneth L. Announcement issue of Notices: August 2010 Baker, University of Miami, and Enrique Ramirez Losada, Program first available on AMS website: August 26, 2010 CIMAT. Program issue of electronic Notices: October 2010 Singularity Theory and Algebraic Geometry (Code: SS Issue of Abstracts: Volume 31, Issue 4 6A), David Eisenbud, University of California, Berkeley; Anatoly S. Libgober, University of Illinois at Chicago; Jose Deadlines Seade, UNAM; and Xavier Gomez-Mont, CIMAT. For organizers: March 10, 2010 Toeplitz Operators and Discrete Quantum Models (Code: For consideration of contributed papers in Special Ses- SS 5A), Alejandro Uribe, University of Michigan, and Ma- sions: June 22, 2010 ciej Zworski, University of California, Berkeley. For abstracts: August 17, 2010

The scientific information listed below may be dated. Syracuse, New York For the latest information, see www.ams.org/amsmtgs/ sectional.html. Syracuse University Invited Addresses October 2–3, 2010 Greg Kuperberg, University of California Davis, Title Saturday – Sunday to be announced. Cris Moore, University of New Mexico, Title to be an- Meeting #1062 nounced. Eastern Section Stanley Osher, University of California Los Angeles, Associate secretary: Steven H. Weintraub Title to be announced. Announcement issue of Notices: To be announced Terence Tao, University of California Los Angeles, Title Program first available on AMS website: August 19, 2010 to be announced (Einstein Public Lecture in Mathematics). Program issue of electronic Notices: October Melanie Wood, Princeton University, Title to be an- Issue of Abstracts: Volume 31, Issue 4 nounced.

Deadlines Special Sessions For organizers: March 2, 2010 Applications of Nonlinear PDE (Code: SS 5A), Susan J. For consideration of contributed papers in Special Ses- Friedlander and Igor Kukavica, University of Southern sions: June 15, 2010 California. For abstracts: August 10, 2010 Combinatorics and Probability on Groups (Code: SS 3A), Jason Fulman and Robert Guralnick, University of The scientific information listed below may be dated. Southern California, and Igor Pak, University of California For the latest information, see www.ams.org/amsmtgs/ Los Angeles. sectional.html. Extremal and Probabilistic Combinatorics (Code: SS 4A), Benny Sudakov, University of California Los Angeles, and Special Sessions Jacques Verstraete, University of California San Diego. Difference Equations and Applications (Code: SS 2A), Large Cardinals and the Continuum (Code: SS 2A), Michael Radin, Rochester Institute of Technology. Matthew Foreman, University of California Irvine, Alekos

JANUARY 2010 NOTICES OF THE AMS 101 Meetings & Conferences

Kechris, California Institute for Technology, Itay Neeman, University of California Los Angeles, and Martin Zeman, Richmond, Virginia University of California Irvine. Topology and Symplectic Geometry (Code: SS 1A), Rob- University of Richmond ert Brown and Ciprian Manolescu, University of California Los Angeles, and Stefano Vidussi, University of California November 6–7, 2010 Riverside. Saturday – Sunday Meeting #1065 Southeastern Section Notre Dame, Indiana Associate secretary: Matthew Miller Notre Dame University Announcement issue of Notices: September Program first available on AMS website: September 23, October 29–31, 2010 2010 Friday – Sunday Program issue of electronic Notices: November Issue of Abstracts: Volume 31, Issue 4 Meeting #1064 Deadlines Central Section Associate secretary: Georgia Benkart For organizers: March 8, 2010 For consideration of contributed papers in Special Ses- Announcement issue of Notices: August 2010 sions: July 27, 2010 Program first available on AMS website: September 16, For abstracts: September 14, 2010 2010 Program issue of electronic Notices: October 2010 The scientific information listed below may be dated. Issue of Abstracts: Volume 31, Issue 4 For the latest information, see www.ams.org/amsmtgs/ Deadlines sectional.html. For organizers: February 19, 2010 Invited Addresses For consideration of contributed papers in Special Ses- Matthew H. Baker, Georgia Institute of Technology, sions: July 20, 2010 Title to be announced. For abstracts: September 7, 2010 Michael J. Field, University of Houston, Title to be an- nounced. The scientific information listed below may be dated. Sharon R. Lubkin, North Carolina State University, Title For the latest information, see www.ams.org/amsmtgs/ to be announced. sectional.html. Stefan Richter, University of Tennessee, Knoxville, Title to be announced. Invited Addresses Laura DeMarco, University of Illinois at Chicago, Title Special Sessions to be announced. Operator Theory (Code: SS 2A), Stefan Richter, Uni- , University of Wisconsin, Title to be versity of Tennessee, and William T. Ross, University of announced. Richmond. David Fisher, Indiana University, Title to be announced. Jared Wunsch, Northwestern University, Title to be announced. Pucon, Chile Special Sessions December 15–18, 2010 Commutative Algebra and Its Interactions with Alge- Wednesday – Saturday braic Geometry (Code: SS 2A), Claudia Polini, University First Joint International Meeting between the AMS and the of Notre Dame, Alberto Corso, University of Kentucky, Sociedad de Matematica de Chile. and Bernd Ulrich, Purdue University. Associate secretary: Steven H. Weintraub Groups, Representations, and Characters (Code: SS 4A), Announcement issue of Notices: June 2010 James P. Cossey, University of Akron, and Mark Lewis, Program first available on AMS website: To be announced Kent State University. Program issue of electronic Notices: To be announced Hilbert Functions in Commutative Algebra and Alge- Issue of Abstracts: To be announced braic Combinatorics (Code: SS 3A), Fabrizio Zanello, Michi- gan Technological University, Juan Migliore, University Deadlines of Notre Dame, and Uwe Nagel, University of Kentucky. For organizers: To be announced Singularities in Algebraic Geometry (Code: SS 1A), Nero For consideration of contributed papers in Special Ses- Budur, University of Notre Dame, and Lawrence Ein, Uni- sions: To be announced versity of Illinois at Chicago. For abstracts: To be announced

102 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences New Orleans, Iowa City, Iowa Louisiana University of Iowa New Orleans Marriott and Sheraton New March 18–20, 2011 Orleans Hotel Friday – Sunday Central Section January 5–8, 2011 Associate secretary: Georgia Benkart Announcement issue of Notices: To be announced Wednesday – Saturday Program first available on AMS website: To be announced Joint Mathematics Meetings, including the 117th Annual Program issue of electronic Notices: To be announced Meeting of the AMS, 94th Annual Meeting of the Math- Issue of Abstracts: To be announced ematical Association of America, annual meetings of the Association for Women in Mathematics (AWM) and the Deadlines National Association of Mathematicians (NAM), and the For organizers: July 16, 2010 winter meeting of the Association for Symbolic Logic (ASL), For consideration of contributed papers in Special Ses- with sessions contributed by the Society for Industrial and sions: To be announced Applied Mathematics (SIAM). For abstracts: To be announced Associate secretary: Steven H. Weintraub Announcement issue of Notices: October 2010 Program first available on AMS website: November 1, 2010 Program issue of electronic Notices: January 2011 Worcester, Issue of Abstracts: Volume 32, Issue 1 Massachusetts Deadlines For organizers: April 1, 2010 College of the Holy Cross For consideration of contributed papers in Special Ses- sions: To be announced April 9–10, 2011 For abstracts: To be announced Saturday – Sunday Eastern Section Associate secretary: Steven H. Weintraub Announcement issue of Notices: To be announced Statesboro, Georgia Program first available on AMS website: To be announced Georgia Southern University Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced March 12–13, 2011 Saturday – Sunday Deadlines Southeastern Section For organizers: September 9, 2010 Associate secretary: Matthew Miller For consideration of contributed papers in Special Ses- Announcement issue of Notices: To be announced sions: To be announced Program first available on AMS website: To be announced For abstracts: To be announced Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced Las Vegas, Nevada Deadlines For organizers: August 12, 2010 University of Nevada For consideration of contributed papers in Special Ses- sions: To be announced April 30 – May 1, 2011 For abstracts: To be announced Saturday – Sunday Western Section Associate secretary: Michel L. Lapidus Announcement issue of Notices: To be announced Program first available on AMS website: To be announced Program issue of electronic Notices: To be announced Issue of Abstracts: To be announced

Deadlines For organizers: To be announced For consideration of contributed papers in Special Ses- sions: To be announced

JANUARY 2010 NOTICES OF THE AMS 103 Meetings & Conferences

For abstracts: To be announced For consideration of contributed papers in Special Ses- sions: To be announced The scientific information listed below may be dated. For abstracts: To be announced For the latest information, see www.ams.org/amsmtgs/ sectional.html. San Diego, California Special Sessions Geometric PDEs (Code: SS 1A), Matthew Gursky, Notre San Diego Convention Center and San Dame University, and Emmanuel Hebey, Universite de Diego Marriott Hotel and Marina Cergy-Pontoise. January 9–12, 2013 Wednesday – Saturday Salt Lake City, Utah Joint Mathematics Meetings, including the 119th Annual Meeting of the AMS, 96th Annual Meeting of the Math- University of Utah ematical Association of America, annual meetings of the Association for Women in Mathematics (AWM) and the October 22–23, 2011 National Association of Mathematicians (NAM), and the Saturday – Sunday winter meeting of the Association for Symbolic Logic (ASL), Western Section with sessions contributed by the Society for Industrial and Associate secretary: Michel L. Lapidus Applied Mathematics (SIAM). Announcement issue of Notices: To be announced Associate secretary: Georgia Benkart Program first available on AMS website: To be announced Announcement issue of Notices: October 2012 Program issue of electronic Notices: To be announced Program first available on AMS website: November 1, 2012 Issue of Abstracts: To be announced Program issue of electronic Notices: January 2012 Issue of Abstracts: Volume 34, Issue 1 Deadlines For organizers: To be announced Deadlines For consideration of contributed papers in Special Ses- For organizers: April 1, 2012 sions: To be announced For consideration of contributed papers in Special Ses- For abstracts: To be announced sions: To be announced For abstracts: To be announced Boston, Baltimore, Maryland Massachusetts Baltimore Convention Center, Baltimore John B. Hynes Veterans Memorial Conven- Hilton, and Marriott Inner Harbor tion Center, Boston Marriott Hotel, and January 15–18, 2014 Boston Sheraton Hotel Wednesday – Saturday Joint Mathematics Meetings, including the 120th Annual January 4–7, 2012 Meeting of the AMS, 97th Annual Meeting of the Math- Wednesday – Saturday ematical Association of America, annual meetings of the Joint Mathematics Meetings, including the 118th Annual Association for Women in Mathematics (AWM) and the Meeting of the AMS, 95th Annual Meeting of the Math- National Association of Mathematicians (NAM), and the ematical Association of America, annual meetings of the winter meeting of the Association for Symbolic Logic, with Association for Women in Mathematics (AWM) and the sessions contributed by the Society for Industrial and Ap- National Association of Mathematicians (NAM), and the plied Mathematics (SIAM). winter meeting of the Association for Symbolic Logic (ASL), Associate secretary: Matthew Miller with sessions contributed by the Society for Industrial and Announcement issue of Notices: October 2013 Applied Mathematics (SIAM). Program first available on AMS website: November 1, 2013 Associate secretary: Michel L. Lapidus Program issue of electronic Notices: January 2013 Announcement issue of Notices: October 2011 Issue of Abstracts: Volume 35, Issue 1 Program first available on AMS website: November 1, 2011 Program issue of electronic Notices: January 2012 Deadlines Issue of Abstracts: Volume 33, Issue 1 For organizers: April 1, 2013 For consideration of contributed papers in Special Ses- Deadlines sions: To be announced For organizers: April 1, 2011 For abstracts: To be announced

104 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Meetings & Conferences San Antonio, Texas Atlanta, Georgia Henry B. Gonzalez Convention Center and Hyatt Regency Atlanta and Marriott At- Grand Hyatt San Antonio lanta Marquis

January 10–13, 2015 January 4–7, 2017 Wednesday – Saturday Saturday – Tuesday Joint Mathematics Meetings, including the 123rd Annual Joint Mathematics Meetings, including the 121st Annual Meeting of the AMS, 100th Annual Meeting of the Math- Meeting of the AMS, 98th Annual Meeting of the Math- ematical Association of America, annual meetings of the ematical Association of America, annual meetings of the Association for Women in Mathematics (AWM) and the Association for Women in Mathematics (AWM) and the National Association of Mathematicians (NAM), and the National Association of Mathematicians (NAM), and the winter meeting of the Association of Symbolic Logic, with winter meeting of the Association of Symbolic Logic, with sessions contributed by the Society for Industrial and Ap- sessions contributed by the Society for Industrial and Ap- plied Mathematics (SIAM). plied Mathematics (SIAM). Associate secretary: Georgia Benkart Associate secretary: Steven H. Weintraub Announcement issue of Notices: October 2016 Program first available on AMS website: To be announced Announcement issue of Notices: October 2014 Program issue of electronic Notices: January 2017 Program first available on AMS website: To be announced Issue of Abstracts: Volume 38, Issue 1 Program issue of electronic Notices: January 2015 Issue of Abstracts: Volume 36, Issue 1 Deadlines For organizers: April 1, 2016 Deadlines For consideration of contributed papers in Special Ses- For organizers: April 1, 2014 sions: To be announced For consideration of contributed papers in Special Ses- For abstracts: To be announced sions: To be announced For abstracts: To be announced Seattle, Washington AMERICAN MATHEMATICAL SOCIETY Washington State Convention & Trade Center and the Sheraton Seattle Hotel The AMS Annual January 6–9, 2016 Publisher’s Discount Sale Wednesday – Saturday Joint Mathematics Meetings, including the 122nd Annual Meeting of the AMS, 99th Annual Meeting of the Math- ematical Association of America, annual meetings of the Save 50% to 75% Association for Women in Mathematics (AWM) and the National Association of Mathematicians (NAM), and the on over 700 titles winter meeting of the Association of Symbolic Logic, with sessions contributed by the Society for Industrial and Ap- in all subjects! plied Mathematics (SIAM). Associate secretary: Michel L. Lapidus Announcement issue of Notices: October 2015 SALE Program first available on AMS website: To be announced Program issue of electronic Notices: January 2016 LAST CHANCE TO BUY Issue of Abstracts: Volume 37, Issue 1

Deadlines AT THESE PRICES! For organizers: April 1, 2015 www.ams.org/bookstore For consideration of contributed papers in Special Ses- sions: To be announced Please note: Order online to receive your discount. Discount applies to limited quantities. Direct sales only. Not available to bookstores or agents. For abstracts: To be announced

JANUARY 2010 NOTICES OF THE AMS 105 Presenters of Papers San Francisco, California; January 13–16, 2010 Numbers following the name indicate the speaker’s position on the program. ∗ Special Session Speaker, NAM Invited Lecturer, SIAM Invited Lecturer, • AMS Invited Lecturer, ◦ MAA Invited Lecturer,  Joint Invited Lecturer, ♦ ASL Invited Lecturer,  AMS Retiring Presidential Address, AWM Emmy Noether Lecturer, Graduate Student, Undergraduate Student

Abayomi, K. A...... 1397 An, J.-H...... 1832 Bailey, B...... 808 ∗ Benito, P...... 677 Aboufadel, E...... 842 Anabtawi, J. M...... 754 Bajracharya, N...... 1062 Bennett, A. G...... 1230 ∗ Abrams, G...... 445 ∗ Anastassiou, G. A. .... 1215 Baker, M. D...... 983 Bennett, A. G...... 1525 ∗ Ackerberg-Hastings, A. 1676 ∗ Andrews, G. E...... 950 ∗ Bal, G...... 231 Bennett, C. D...... 1429 Ackerman, N...... 1960 ∗ Angeloni, L...... 1113 Balaji, S...... 294 ∗ Bennett, J. C...... 1471 Ackermann, C. T...... 1544 Anglin, S. M...... 104 ∗ Ball, J. A...... 448 Bennett, T. L...... 1593 ∗ Ackleh,A.S...... 942 Annaby, M. H...... 1099 Bantle, J...... 1548 Benson, S...... 826 ∗ Acosta-Hum´anez, P. . 1192 ∗ Annaby, M. H...... 1112 ∗ Bao, G...... 41 Berchenko-Kogan, Y. I. 550 ∗ Adams, H...... 1483 ∗ Antieau, B...... 1194 ∗ Baragar, A...... 964 Berezovskaya, F...... 1245 Addington, S. L...... 364 Aouina, M. B...... 1786 ∗ Bard,G.V...... 53 Berezovskaya, F...... 1275 Addington, S. L...... 1891 ∗ Ara, P...... 446 Barg, M. C...... 1829 Berg, D. E...... 591 Adhikari, D...... 746 ∗ Aranda Pino, G...... 669 ∗ Bargagliotti, A. E...... 472 Berg, J. D...... 837 Adhikari, D. R...... 1300 Archey, D...... 1026 ∗ Barker,A.T...... 17 Berg, J. S...... 1802 ∗ Adler, J. D...... 1724 ∗ Archibald, T...... 1678 Barker, W...... 712 ∗ Berger, H. A...... 486 ∗ Adrian, M...... 1726 ∗ Ardila, F...... 250 Barnard, R. C...... 1828 ∗ Bergeron, F...... 945 Affane-Aji, C...... 541 Arganbright, D. E. .... 1914 ∗ Barnard, R. W...... 687 Bergthold, T. A...... 360 ∗ Afriat, A...... 1516 ∗ Armond, C...... 216 ∗ Barnes, J. A...... 684 ∗ Berkesch, C...... 1169 ∗ Agashe, A...... 709 ∗ Armstrong, S. N...... 660 Barrett, L. K...... 380 Bernard, K. J...... 584 Agbegha, G...... 858 Arroway, P...... 1261 ∗ Barrow-Green, J...... 1151 Berndt, B. C...... 638 Agbegha, G...... 1119 Arunachalam, V...... 511 Barry,M.J...... 288 Berrioz´abal, M. P...... 379 Ahlgren, A...... 834 Arunakirinathar, K. ... 1531 Bartolini, L...... 113 Berrut, J.-P...... 1284 Ahmed, N...... 1020 Asera, R...... 1524 ∗ Baskin, D. R...... 49 ∗ Bertozzi, A...... 1460 Ahmed, N. U...... 1216 Ash, J. M...... 1644 ∗ Bass, H...... 1193 Bertozzi, A...... 1933 Ahrendt, C...... 1005 Ashton, B. A...... 1860 Bastian, N. D...... 558 Besse,I.M...... 990 Akin-Bohner, E...... 1246 Aslaksen, H...... 1323 ∗ Basu, S...... 203 Bhandari, M. B...... 1315 Akman, F...... 126 Aslan, B...... 1251 ∗ Bateman, M...... 36 ◦ Bhargava, M...... 411 ∗ Al-Rawashdeh, W. K. .. 697 ∗ Assaf, S. H...... 948 ∗ Bates, D. J...... 1484 Bhatnagar, S. C...... 1343 Alberts, K...... 156 Athanassov, Z. S...... 1238 ∗ Baum, P. F...... 1487 Bhatta, D...... 524 Alberts, K...... 794 Athavale, P...... 1934 ∗ Baum, P. F...... 1496 Bhattacharya, C...... 1878 Aldous, D...... 6 ∗ Atreas, N. D...... 1114 Bayazit, D...... 569 Bialek, P. R...... 1100 ∗ Aldroubi, A...... 454 Attarian, A...... 1827 Bayless, J. W...... 1554 ∗ Bice, E. K...... 451 ∗ Aldroubi, A...... 1510 Attele, K. R...... 1845 Beaugris, L...... 1885 Bickle, A. E...... 1103 Alewine, A...... 1569 ∗ Avalos, G...... 934 Beaver, S...... 1634 ∗ Biondini, G...... 1733 ∗ Alford,J.G...... 943 ∗ Avni, N...... 1716 Beck, K. A...... 778 ∗ Biswas, A...... 1739 Ali, J...... 752 ∗ Awerbuch-Friedlander, T. E. Beckham, J. R...... 1240 ∗ Black, K...... 1140 Ali, R. M...... 105 209 Beecher, A. I...... 1616 Blair, S...... 827 ∗ Aljadeff, E...... 1720 Awtrey, C...... 555 ∗ Beery, J. L...... 1475 Bliss, K...... 738 Allali, M...... 331 Axenovich, M...... 1391 Beezer, R. A...... 1368 Bloch, W. G...... 1330 ∗ Allen, B...... 1137 Axvig, N...... 1807 Behrens, C. E...... 1355 ◦ Blum, L...... 189 Allen, R. F...... 1299 Azarian, M. K...... 80 Beier, J. C...... 1410 Blumenthal, R. A...... 1072 Allocca, M. P...... 537 ∗ Babbitt, D...... 1681 Beisiegel, M...... 860 ∗ Bocea, M...... 24 Almohalwas, A. M. .... 1467 Babichev, A...... 1276 Belcastro, S.-M...... 1814 Bodine, E. J...... 186 Alperin, R. C...... 975 Baeth, N...... 772 ∗ Bellhouse, D. R...... 1675 ∗ Bodine, S...... 705 Alpert, H...... 83 Baginski, P...... 1950 Ben-Gal, N...... 1271 ∗ Bodmann, B. G...... 1512 AlQudah, M. A...... 1017 ∗ Bahls, P...... 259 ∗ Bendel,C.P...... 1489 Boelkins, M...... 1564 Alraqad, T. A...... 1809 Bahmanian, M. A...... 1818 ∗ Benedetto, J. J...... 1513 Boerner, J...... 117 ∗ Altshuller, D...... 695 ∗ Bai, X...... 1741 ∗ Benedetto, R. L...... 74 Boersma, S...... 793 Alvarado, A...... 546 Bailey, B...... 140 ∗ Benedetto, R. L...... 868 Boersma, S...... 1075

106 NOTICES OF THE AMS VOLUME 57, NUMBER 1 San Francisco, CA – Presenters of Papers

∗ Bona, M...... 1764 Canner, J. E...... 516 Clark, K. M...... 1347 Debnath, L...... 534 Bond,W.O...... 798 ∗ Capaldi, A...... 1702 ∗ Clark, P. L...... 497 Debrunner, J...... 1805 Bongsoo, J...... 1286 Capaldi, M. B...... 572 Clark, T...... 573 DeGregory, K. W...... 1577 ∗ Bonini, V...... 232 ∗ Caparrini, S...... 1680 Cleary, R. J...... 566 Deka, L...... 797 Bookman, J...... 593 Carasso, A. S...... 402 ∗ Clementi, C...... 1220 DeLand, D. W...... 1367 Booth, D...... 1923 Cardetti, F...... 145 ∗ Clough,C.L...... 57 De Lara, M...... 162 ∗ Booty, M...... 917 Cardetti, F...... 1619 Cobbs, L...... 1600 ∗ DeLegge, A...... 1452 ∗ Borodin, A...... 1767 Cardwell, A. E...... 1022 Coe, P. R...... 802 De Leon, D...... 856 Bosko, L. R...... 1413 ∗ Carin, L...... 465 Cohen, M...... 309 Demaine, E. D...... 977 ∗ Boston, N...... 462 ∗ Carlson, J. F...... 1492 Cohen, S...... 1291 ∗ DeMarco, L...... 75 Bouchat, R. R...... 776 ∗ Carlsson, G. E...... 1481 ∗ Coifman, R. R...... 464 • DeMarco, L...... 1135 Bouldin, L...... 1881 Carlsson, G. E...... 1596 Collins, D...... 1791 Demirci, E...... 1232 Bourla, A...... 1785 ∗ Carrell, J...... 1718 Collins, J. B...... 762 ∗ van den Dries, L...... 22 Bouthellier, P. R...... 1568 Carter, J. A...... 801 Collins, K. L...... 1089 Deng, K...... 525 Bouthellier, P. R...... 1585 Carter, N...... 873 Comar, T...... 1043 Derby-Talbot, R...... 535 Boutin, D...... 1087 Carter, N...... 1920 ∗ Comar, T. D...... 1454 ∗ van der Hoeven, J...... 198 Bowling, S. A...... 1903 ∗ Casazza, P. G...... 1514 Comes, J...... 180 vandeSande,C.C. .... 408 ∗ Bowser, M...... 1143 Case, J...... 1336 ∗ Condori, A. A...... 40 Dewar, J. M...... 836 Bozeman, S. T...... 384 Case,J.O...... 1082 ∗ Conley,C.H...... 1502 Dewar, M. P...... 1939 Bradley, R. E...... 11 Case,J.P...... 1328 ∗ Conrey,J.B...... 1204 ∗ Dey, P. S...... 60 ∗ Brams, S. J...... 693 Castillo-Garsow, C. W. 1908 Constantin, E...... 1823 ∗ Dhirasakdanon, T. .... 1698 Brandt, J...... 1907 Castro, A. L...... 1035 Cook, C. N...... 1296 ∗ Diacu, F. N...... 1679 Braunstein, J. L...... 1337 ∗ Castro, A. L...... 1760 Cooper,C.N...... 557 ∗ Diagana, T...... 1207 ∗ Bremner, M. R...... 676 ∗ Celikbas, O...... 1167 ∗ Cooper, D...... 470 ∗ Diaz, A...... 1474 Bridgers, L...... 368 Cerini, C...... 1057 ∗ Costin, O...... 21 ∗ Dib, Y. M...... 210 ∗ Brilleslyper, M. A...... 685 Cerreto,F.A...... 339 Cowen, C. C...... 1848 Diefenderfer, C. L...... 887 Brin, L...... 138 Cerreto,F.A...... 800 Coxson, P. G...... 1562 Dietel, B. C...... 722 Brin, L...... 613 Cervone, D. P...... 1369 Crabbe, A...... 779 Dietrich, B...... 651 Brodhead, P. S...... 314 Cesmelioglu, A...... 764 Crane, R. P...... 1422 Di Lisio, S...... 1259 ∗ Brooks, J. E...... 1672 Chakraborty, S...... 94 Cranston, D...... 1392 Dillon, M. I...... 1322 Brown, C...... 500 Chakraborty, S...... 1586 ∗ Cranston,D.W...... 256 Dillon, M. I...... 1345 Brown, D. A...... 353 Chakraborty, S...... 1884 Crawley, J. W...... 835 Dimitric, I. M...... 1779 Brown, E...... 328 ∗ Chamberlain, E...... 1168 ∗ Crisman, K.-D...... 473 Dimitric, R. M...... 1349 Brown, M...... 766 Chamberland, M...... 907 Crisman, K.-D...... 614 Dimitric, R. M...... 1401 Brown, S. A...... 1379 ∗ Champanerkar, A...... 217 Crisman, K.-D...... 1888 Ding, S...... 531 Brown, T. M...... 1434 ∗ Chandee, V...... 956 ∗ Croicu, A.-M...... 480 ∗ Do, Q...... 38 ∗ Brubaker, B...... 954 Chang, J.-M...... 1857 Crow, K...... 1406 Dogan-Dunlap, H...... 906 ∗ Bryant, R. L...... 1518 Chartier, T...... 1898 Cruz-Cota, A.-H...... 118 Doherty, F. C...... 354 Buck, J. M...... 1310 Chartrand, R...... 1926 ∗ Cullinan, J. T...... 421 von Dohlen, P...... 1274 Buck, N. C...... 1876 Chau, P. Q...... 1386 ∗ Cunningham, C...... 1497 ∗ Domokos, A...... 27 Bucki, A...... 1776 Chavey, D...... 604 Cushing, J. M...... 501 Doree, S. I...... 324 Buckmire, R...... 621 Chavey, D...... 1859 ∗ Cushing, J. M...... 939 Dorff, M...... 355 Buczynska, W. J...... 1660 ∗ Chen, C...... 657 Czygrinow, A...... 1389 Dorff, M...... 895 Buechner, J...... 1359 ∗ Chen, C...... 1734 D’Antonio, L. A...... 394 Dorff, M...... 1427 Buehrle, C. E...... 276 Chen, F...... 1403 D’Antonio, L. A...... 1358 ∗ Dorff, R...... 1127 ∗ Buium, A...... 1719 Chen, M...... 1319 ∗ Dabkowski, M...... 219 ∗ Dowd, T...... 914 Bulanhagui, R. D...... 1093 ∗ Chen, P...... 1505 Dai, Z...... 1314 ∗ Draper, C...... 680 Bulatov, V. L...... 1318 Chen, Y...... 1288 ∗ Dalili, K...... 1170 Dray, T...... 886 ∗ Bump, D. W...... 953 ∗ Cheng, J...... 225 Daly,D.A...... 282 ∗ Dray, T...... 962 Bunn, J. R...... 313 Cheng, Y...... 1292 Dambra, J...... 1549 Drignei, D...... 296 Burch, K. J...... 622 Chesler, J. D...... 828 ∗ Daniel, M. J...... 420 Drignei, M. C...... 984 Burdis, J. M...... 1841 Chidyagwai, P...... 750 Danz, L...... 323 Driskell, L...... 992 Burke, M. C...... 1523 Chihara, C...... 1447 Das, K. P...... 644 ∗ Drton, M...... 1690 Burkert, J...... 1104 Childers, A. F...... 1235 Das, S. K...... 153 Drucker, T...... 395 Burks, R. E...... 343 Childers, L...... 86 Dashley, T. K...... 628 Drucker, T...... 1356 Burks, R. E...... 1578 ∗ Childress, S...... 1462 Dastrange, N...... 110 ∗ Dryden, E. B...... 1163 Burns, A. M...... 1867 ∗ Chinburg, T...... 1717 ∗ Daub, M. W...... 871 ∗ Duchin, M...... 1159 Caers, J...... 862 ∗ Chmutov, S...... 439 Davenport, D...... 382 Duffy, C...... 1408 Cai, M...... 523 Choi, J...... 128 Davis, J...... 1066 ∗ Duke, W...... 1195 Cakmak, A...... 981 ∗ Chopp, D. L...... 1459 Davis, J. D...... 596 ∗ Dunajski, M...... 1519 ∗ Cakoni, F...... 44 ∗ Christ, M...... 224 ∗ Davis, J. M...... 699 Dunham, P. H...... 807 ∗ Calderbank, R...... 467 Christensen, C...... 1102 Davis, M. H...... 346 ∗ Dunham, W...... 1476 Calderon, C. P...... 89 Chun, C. B...... 1109 ∗ Davison, B...... 1479 Dupont, R...... 1621 ∗ Callender, H. L...... 1450 Chun, D. A...... 1441 Dawkins, P. C...... 1381 ∗ Dutkay, D...... 1744 Callon, G. D...... 598 Chyatte, J...... 1861 Dean, M. H...... 283 Dutta, A...... 102 Calvert, W...... 1445 Cioab˘a, S. M...... 1388 Deb, D...... 1550 ∗ Dzhamay, A...... 1737 ∗ Calvetti, D...... 190 Cipra, B. A...... 912 ∗ DeBacker, S. M...... 1494 Ecke, V...... 804 Campbell Hetrick, B. M. 839 ∗ Claesson, A...... 1763 DeBiasio, L...... 1442 Edwards, B. E...... 1231 ∗ Can, M...... 949 Clark, A...... 98 Debnath, J...... 357 Edwards, C. C...... 574 ∗ Candes, E...... 1217 Clark, H. N...... 1534 Debnath, J...... 378 Edwards-Omolewa, N. D. 1396 Caniglia, J. C...... 1893 Clark, K. M...... 389 Debnath, J...... 1922 Egge,E.S...... 1108

JANUARY 2010 NOTICES OF THE AMS 107 Presenters of Papers – San Francisco, CA

∗ Eggermont, P. P...... 1509 Fisher, D. G...... 1575 Ghosh-Dastidar, U...... 356 Hall, W. D...... 848 Ehler, M...... 1468 Fisher, F...... 1405 Ghosh-Dastidar, U. ... 1048 Hamblet, N...... 1350 ∗ Ehrenborg, R...... 1765 Flashman, M. E...... 1357 Ghusayni, B. N...... 545 Hamblin, J. E...... 1070 ∗ Ehrlich, P...... 20 Fleron, J. F...... 607 Gieger, J. L...... 405 Hamdan, M. F...... 1906 Einziger, H...... 129 Fomin, S...... 528 Gilbert, S. W...... 1559 Hamilton, F. W...... 1546 ∗ Eisenbud, D...... 435 Foo, J...... 1597 Giles, J. B...... 1588 Hammond, W. F...... 1364 El-Zanati, S...... 1521 Ford,D.H...... 1623 Gillespie, T. L...... 1943 Hampton, M...... 1921 ∗ Elaydi, N. S...... 205 ∗ Ford, R...... 1141 ∗ Gilmer, P. M...... 211 Hamrick, J...... 647 ∗ Elbau, P...... 452 Forgacs, T...... 99 Giorgi, S...... 1307 Hamrick, J...... 1581 Elder, S...... 721 Fortes, S. P...... 751 Gishe, J. E...... 1639 Hanchin, T. G...... 1018 Elkhader, A. S...... 1120 Foster, A. A...... 1547 Giusti,C.D...... 115 ∗ Hannasch, D. A...... 923 ∗ Eller, M...... 654 Fowler, D...... 824  Glimm, J. G...... 911 Hansen, S. M...... 849 Elliot, J...... 280 Fowler, K. R...... 636 Gochenaur, D. L...... 1077 ∗ Hansen, S. W...... 655 ∗ Elliott, A...... 213 Fox, T...... 582 Godbout, C. R...... 1778 Hanson,A.C...... 609 Ellis, W...... 387 Fox, W. P...... 560 Goddard II, J...... 985 Harman, N...... 1789 ∗ Ellis-Monaghan, J. A...... 67 Franze, C. S...... 1553 Goldberg, T. E...... 1777  Harris, J...... 187 Emdad, F...... 505 ∗ Fraser, R. G...... 1472 ∗ Goldstein, T...... 191 Harris-Botzum, M...... 833 Emdad, F...... 1287 ∗ Frauendiener, J...... 1755 ∗ Golomb,S.W...... 670 ♦ Harrison, J...... 1637 Emerson-Stonnell, S. S. 601 Frayer, C. S...... 330 ∗ Golumbic, M. C...... 252 Hart,J.E...... 141 Ensley, D...... 1900 ∗ Frechette, S...... 955 Gonchigdanzan, H. .... 131 ∗ Hartke, S. G...... 66 Epp, S...... 363 Freeden, W...... 396 Gonzalez, J. B...... 1242 Hartsfield, J. W...... 1252 Epperson, J. A...... 383 Freer, C. E...... 1444 Gonzalez-Arevalo, B. P. 351 ∗ Hasebe, K...... 1758 Epshteyn, Y...... 757 ∗ Freixas, J...... 688 Gonzalez Tokman, C. 1662 Haskins, I. M...... 1227 Epstein, R...... 1649 Friedman, T...... 178 ∗ Goodearl, K...... 447 Hassen, A...... 547 Erbe,L.H...... 1004 ∗ Frohman, C...... 436 Gordon, C. S...... 650 Hassi, M.-L...... 1910 ∗ Erman, D...... 434 Fukawa-Connelly, T. . 1383 ∗ Gordon, J...... 1729 Hastings, A...... 1448 Ernie, K. T...... 412 Fulkerson, M. C...... 111 ∗ Goss, D...... 426 ∗ Hastings, H. M...... 206 Ernie, K. T...... 1520 Fuller, E...... 1380 Gould, A. D...... 969 ∗ Hauenstein, J. D...... 1485 Ernst, D. C...... 1105 ∗ Fulman, J...... 1768 Gouvˆea,F.Q...... 12 Haugh, J. M...... 514 ∗ Eroh, L...... 68 Fulmer, J...... 336 Grabarnik, G...... 1308 Haver, B...... 1226 ∗ Espanol, M...... 229 Fung, M. G...... 586 ∗ Graef, J. R...... 485 Hawkins, W. A...... 388 Eubanks-Turner, C. .... 771 Furuto, L...... 333 Graf, J...... 1542 Haynal, H. A...... 1059 ∗ Evans, J...... 1146 Fury, M. A...... 1027 Graham, G...... 902 He, Y...... 1281 ∗ Faber, X...... 76 Fusaro, B...... 1083 ∗ Graham, R...... 1612 Hearsey, B. V...... 1341 Fabrykowski, J...... 1255 ∗ Futer, D...... 443 Grattan-Guinness, I...... 13 ∗ Hedden, M. E...... 215 Falk, M. J...... 305 Gaal, L...... 1869 ∗ Grattan-Guinness, I. O. 1152 ∗ Heim, J...... 702 ∗ Farthing, C...... 666 ∗ Gabardo, J.-P...... 1745 Gray, S. B...... 1890 ∗ Heindl, R. A...... 56 Fasanelli, F...... 381 Gage,M.E...... 273 • Green, B. J...... 1133 Heitsch, C. E...... 1594 Fathallah-Shaykh, H. M. 1268 Gage,M.E...... 819 Greene, J. R...... 1941 Heller, K...... 1579 Fausett, L. V...... 135 Gagola, Jr., S. M...... 77 Greene, M. K...... 605 Helliwell, D. W...... 1052 Fausett, L. V...... 1915 ∗ Gagola III, S. M...... 957 Greene, M. K...... 861 ∗ Hemmer, D. J...... 1488 Favro, R...... 175 Galayda, S...... 344 Greeno, C. L...... 410 Henderson, D. W...... 1067 Fawaz, A...... 1775 Galayda, S...... 993 ∗ Greenstein, J...... 1711 ∗ Henderson, J...... 484 Federico, P...... 897 Galayda, S...... 1866 Greenwald, S. J...... 1335 Henderson, J. R...... 1354 ∗ Fedewa, N. C...... 1665 Gallian, J. A...... 1583 Greenwell, R. N...... 295 Henderson, R. K...... 568 ∗ Feichtinger, H. G...... 674 Galluzzo,B.J...... 413 Griesmaier, R...... 1293 ∗ Henriques, I. B...... 1166 ∗ Feigon, B...... 1196 Galstyan, A...... 744 ∗ Grigsby, J. E...... 214 ∗ Henson, S. M...... 941 Feist, C...... 1353 Gao, C...... 298 Groah, J. M...... 1870 ∗ Hentzel, I...... 679 Feldhaus, C. A...... 1253 Gao, S...... 123 Groah, J. M...... 1877 Herman, E. P...... 377 ∗ Felipe, R...... 675 ∗ Gao, S...... 241 Gross, K. I...... 417 ∗ Hernandez, M...... 1451 Feng, P...... 1239 Gao, S...... 781 Gross, L. J...... 502 Hess, B. L...... 612 Fenton,W.E...... 615 Gao, S...... 1055 Grundman, H. G...... 718 Hessah, A...... 1003 Ferdinands, T. D...... 1794 ∗ Garapon, P...... 455 Guan, Y...... 100 Hesterberg, A. C...... 1439 Fernando, H...... 1060 Garba, S. M...... 1267 Guan, Y...... 756 Heyer, L...... 900 ♦ Ferreira, F. J...... 1430 Garciadiego, A. R...... 169 ∗ Guang, G...... 460 ∗ Hezari, H...... 228 Ferrer, J...... 1847 Garfield, J...... 881 Guerra, J. E...... 843 ∗ Hezari, H...... 932 Ferro, R...... 1361 ∗ Garsia, A...... 1178 Gupta, C...... 1273 Hibdon,Jr,J.E...... 748 Fey, K...... 1831 ∗ Geman, D...... 1218 ∗ Guralnick, R. M...... 1490 Hickernell, F. J...... 763 ∗ Fickus, M...... 1511 Geneser, S...... 994 Gurel, O...... 998 Higdon,G.M...... 337 Field, R. E...... 1609 Gentile, P. A...... 1873 Gurney, D. R...... 1628 Higgins, R...... 1007 Field, R. E...... 1858 Gentry, S...... 146 Gurski,K.F...... 758 Higgins, R...... 1626 Fife, J. H...... 567 Georgakis, C...... 1278 Gustafson, P...... 841 Hill, E. F...... 149 Fijn, P. W...... 122 ∗ Gera, R. M...... 65 ∗ Guy, R. T...... 30 Hindman, N...... 1601 ∗ Fill, J. A...... 244 Gerhards, C...... 397 Haas, R...... 901 Hodge, A...... 1382 Finch, C. E...... 1551 Gerhardt, I...... 92 Haas, R...... 1088 ∗ Hodges, T. J...... 239 Finegold, B. A...... 540 Gessel, I. M...... 639 Haber, E...... 863 Hoelscher, C. A...... 1773 Fink, J. B...... 589 ∗ Gessel, I. M...... 1611 ∗ Hadani, R...... 672 Hofacker, E. B...... 625 Finster, E. L...... 539 Gewecke, N...... 1298 Hagedorn, T. R...... 1420 Hofacker, E. B...... 851 ∗ Firkins Nordstrom, J. . 449 ∗ Ghandehari, M...... 32 Hager, R...... 1806 Hofacker, E. B...... 1224 Fishback, P. E...... 332 Ghanem, R...... 865 ∗ Haglund, J...... 947 Hofacker, E. B...... 1228 Fisher, D...... 376 ∗ Ghioca, D...... 73 Hall, T. G...... 136 ∗ Hoffacker, J...... 488

108 NOTICES OF THE AMS VOLUME 57, NUMBER 1 San Francisco, CA – Presenters of Papers

Hoffman, A...... 1265 Jones, B. C...... 1106 King,E.J...... 1833 Lance, T. K...... 1951 Hoggard, J. W...... 1591 ∗ Jones, G...... 245 ∗ Kinyon, M...... 958 Landes,E.R...... 116 Hoim, T...... 154 Jones, K. M...... 285 Kirov, R. M...... 556 Lang, R. J...... 974 Holdener, J...... 884 Jones, L...... 1556 Kirtland, J...... 79 ∗ Lange, K...... 201 ∗ Holland, J. E...... 1756 Jones, L. B...... 507 Kisunko, V...... 1032 Langley, L. J...... 594 • Holtz, O...... 1129 ∗ Jones, M. A...... 469 ∗ Kitaev, S...... 1179 ∗ Langley, T...... 1181 Hook, J...... 785 Jones, M. R...... 1632 ∗ Kjeldsen, T. H...... 1155 Lanphier, D...... 1942 ∗ Hopkins, K...... 1201 ∗ Jones, R...... 71 Klee, S...... 319 ∗ Lansky, J. M...... 1723 Hopkins, K...... 1653 Jordan, D. R...... 1851 ∗ Kleshchev, A...... 1707 Lanz, A...... 414 • Hopkins, M...... 1136 ∗ Jorgensen, P. E...... 1515 ∗ Kliemann, W...... 479 LaRose,P.G...... 820 Hopkins, N. C...... 1409 Joseph, D...... 415 Klyve, D. W...... 406 Larson, C...... 1902 Horesh, L...... 864 Joshi, H. R...... 1826 Knapp, J. L...... 1375 Larson,C.E...... 792 Horton, K...... 150 ∗ Juan, L...... 1185 Knecht, A...... 1954 ∗ Lasiecka, I...... 653 ∗ Hovhannisyan, G...... 704 Judson,T.W...... 1904 ∗ Knight,J.F...... 202 ∗ Laubenbacher, R...... 1686 Howe, S. P...... 1790 Jun, Y...... 1297 Knight,R.D...... 120 ∗ Lauda, A. D...... 1705 ∗ Hower, V...... 1688 Jung, C.-Y...... 529 ∗ Knightly, A. H...... 1198 ∗ Lauter, K. E...... 493 Howland, P...... 1565 Kaffel, A...... 132 Knisley, J. R...... 1332 ∗ Lauter, K. E...... 867 ∗ Hsia, L.-C...... 266 Kaffel, A...... 1843 Knudsen, T. L...... 168 ∗ LaVictoire, P. R...... 223 Hsu, C...... 741 ∗ Kaftal, V...... 1749 ∗ Knuth, D. E...... 1770 ∗ Lawrence,B.A...... 491 ∗ Hu, L...... 242 Kaganovskiy, L...... 755 Koban, N...... 81 Lawrence, D...... 350 Huang, M.-w...... 1041 ∗ Kahl, N...... 258 Kobayashi, M...... 1936 Lazowski, A...... 1608 Huber, M...... 1085 Kahn, E. B...... 1610 Kocic, S...... 1279 Le, T...... 1946 Huber, M. L...... 643 Kalaycioglu, S...... 287 ∗ Kocic, V. L...... 207 Leathrum, T. E...... 1366 Hughes Hallett, D...... 968 ∗ Kalman, D...... 1674 Koehl, P...... 1599 ∗ Lebiedzik, C...... 935 Hulgan, J. D...... 1821 ∗ Kaltofen,E.L...... 1684 Koessler, D...... 70 ∗ Ledet, A...... 1189 Huling, P. C...... 306 Kamat, V. M...... 1815 ∗ Kofman, I...... 441 Lee, C...... 733 Hull, T. C...... 973 Kamil, A. A...... 1836 ∗ Kogan, I. A...... 1757 Lee, C. R...... 1780 Humphrey, P. B...... 157 Kang,B.G...... 774 Kohlhaas,A.L...... 1654 Lee, E.-J...... 300 ∗ Huneke, C...... 428 Kang, M.-H...... 1605 Koksal, S...... 903 Lee, G...... 1400 Hung, M...... 1068 ∗ Kania-Bartoszynska, J. 437 Koksal, S...... 991 Lee, H...... 989 Hurst, G. B...... 1795 ∗ Kannan, S...... 951 Koksal, S...... 1047 Lee, S...... 106 ∗ Hutz, B...... 267 Kappe, L.-C...... 1607 Kolibal, J...... 1016 Lee, S.-G...... 1849 Hydorn, D. L...... 1864 Karaali, G...... 1635 ∗ Kominers, S...... 921 Lee, Y...... 554 Ibrahimou, B...... 1302 Karakoc, F...... 1233 Konkowski, D. A...... 1781 ∗ Lee, Y...... 869 Iembo, R...... 1331 Karakok, G...... 1561 ∗ Kornelson, K...... 1751 LeGrand, D. J...... 817 ∗ Im, B.-H...... 492 Karev, G. P...... 517 Kose Can, E...... 980 Leingang, M...... 1362 ∗ Ingram, P...... 260 Karp,L.S...... 166 Koshy, T...... 327 Lenhart, S...... 347 Ion, P. D...... 1372 ∗ Karpman, R...... 1671 ∗ Koslosky, J...... 924 Lenz, L...... 816 Ion, P. D...... 1373 Kasube, H. E...... 172 ∗ Kosmatov, N...... 489 Leung, M.-Y...... 908 Ion, P. D...... 1374 Katz, A. A...... 1030 Kostochka, A. V...... 1385 Leung, M.-Y...... 995 Iraniparast, N...... 743 ∗ Kaufmann, E. R...... 490 ∗ Kostorv, Y...... 34 Levin, D...... 4 Irick, B. C...... 768 ∗ Kawaguchi, S...... 261 ∗ Kotchetov, M. V...... 681 Levin, D...... 10 Isaacs, K...... 735 ∗ Kay, B...... 254 Kotiuga, P. R...... 308 Levin, M...... 1924 ∗ Isaacson, D...... 1463 Kaymakcalan, B...... 1241 Kozek, M...... 1947 Levin, M...... 1925 Islam, M...... 1285 Keck, D. D...... 1576 ∗ Kozhevnikov, A...... 1210 Levine, A...... 1863 Jabbusch, K...... 1624 Kelly, S. E...... 1348 Kreutzer, E...... 564 Levitt, R. M...... 311 Jabon, D. C...... 1223 Kelm,K.S...... 334 Kruczek, K...... 1437 ∗ Levy, A...... 262 Jacob, B...... 714 ∗ Kent,C.M...... 208 Kruse, G. W...... 602 Levy,L.A...... 1415 Jacob, B. C...... 521 • Kenyon,R.W...... 910 ∗ Kuchment, P...... 46 Levy, R...... 634 Jacob, J...... 791 Kerl, J. R...... 88 ∗ Kuchment, P...... 453 Lewand, R. E...... 1329 ∗ Jacobsen, J...... 919 Khadivi, M...... 854 ∗ Kuhlmann, S...... 199 Lewicki, A. V...... 1351 ∗ James, S...... 1139 Khadivi, M...... 1855 ∗ Kujawa, J...... 1710 Lewis, L. W...... 335 ∗ Jang, S. R...... 944 Khadjavi, L. S...... 595 ◦ Kung,D.T...... 1132 Lewis, P. W...... 119 Jardine, D...... 831 Khan, F. S...... 645 Kuo, Y.-J...... 803 Li, H...... 789 Jarvinen, R. D...... 561 Khanal, N. P...... 533 Kursungoz, K...... 125 Li, J...... 822 ∗ Jauregui, J. L...... 235 Kieftenbeld, V...... 1787 ∗ Kurt-Peker, Y...... 243 ∗ Li, X...... 37 Javaheri, M...... 1266 ∗ Kilgour, D. M...... 692 Kuster, C. M...... 1528 Li, X...... 358 Jean, M. M...... 623 Kilibarda, V...... 832 ∗ Kutyniok, G...... 1746 ∗ Li, Y...... 16 Jensen, D...... 1034 Kilic-Bahi, S...... 893 ∗ Kwan, Y...... 195 ∗ Li, Y...... 1214 ∗ Jensen, R. R...... 659 Killebrew, L. K...... 1804 Kyrtsos, C. R...... 737 ∗ Li, Y...... 1501 ∗ Jia, R.-Q...... 64 Killpatrick, K...... 318 Kysh,J.M...... 590 Liang, H...... 1313 Jiang, N...... 761 Kim, B...... 1555 ∗ Lutzen,¨ J...... 1154 Liang, Y...... 325 Jimenez, S...... 520 Kim, D...... 551 ∗ Labra, A...... 678 ∗ Licata, A...... 1708 Jing, W...... 745 ∗ Kim, D.-S...... 1504 ∗ Ladas, G. E...... 29 ∗ Liese, J. E...... 1180 ∗ Jintai, D...... 238 ∗ Kim, J...... 937 Lahme, B...... 576 Lim, J...... 775 Johnson, J. H...... 1433 ∗ Kim, J.-L...... 1728 Lai, Y...... 1378 Lim, K. H...... 374 ∗ Johnson-Leung, J...... 710 Kim, K.-W...... 1344 Laing, C...... 112 Lim, K. H...... 829 ∗ Johnston, K. A...... 1145 Kim, R...... 1918 Lakhani, C. M...... 1036 ∗ Lim, L.-H...... 671 Johnston, T. L...... 359 Kim, S...... 1301 ∗ Lalin, M. N...... 438 ∗ Lin, C.-Y...... 234 Jones, A...... 1 Kim, Y...... 1952 Lambers, J. V...... 1530 Linderman, B...... 603 ∗ Jones, A. D...... 1664 ∗ King, A...... 1668 Lamberson, R. H...... 503 ∗ Lindgren, W. F...... 1478

JANUARY 2010 NOTICES OF THE AMS 109 Presenters of Papers – San Francisco, CA

Linhart, J...... 649 Martin, R...... 1387 ∗ Meyer, Y...... 457 Motz,E.A...... 847 ∗ Lisi,A.G...... 961 ∗ Martini, L...... 1156 Michalopoulou, Z.-H. . 905 Mudrock, J...... 1797 Lister,L.A...... 1573 Marzec, Z...... 1538 ∗ Mickens, R. E...... 1211 ∗ Mummert, A...... 1453 Liu, C...... 646 ∗ Mason, S. K...... 946 ∗ Mickens, R. E...... 1696 ∗ Munthe-Kaas, H. Z...... 463 Liu, J...... 1529 ∗ Masri, R...... 1200 Miedel, C. J...... 1875 ∗ Murnaghan, F...... 1730 Llera, K...... 736 Mast, M...... 587 Mihaila, I...... 811 Murphy, E. K...... 1930 Lo, M.-L...... 855 Masters, D...... 1798 Mihnea, A...... 1810 ∗ Muscalu, C...... 35 Lock, P. F...... 338 Mastroberardino, A. . 1248 Mikhaylov, J. M...... 1880 ∗ N’guerekata, G. M. ... 1205 Lock, P. F...... 632 Mathews, D. B...... 139 , D...... 1312 Nadim, F...... 889 Lock, R. H...... 159 Matthews, J. V...... 1234 Milanfar, P...... 1928 Nadler, E. J...... 1019 Lodder, J...... 898 ∗ Matthews, T...... 703 , K. G...... 1393 Nadler, E. J...... 1913 ∗ Loehr, N. A...... 1184 ∗ Mattingly, J. C...... 477 Militzer, E. R...... 107 Naeem, I...... 988 ♦ Loeser, F...... 1948 Mattman, T. W...... 304 Miller, A...... 592 Naidu, D...... 179 Lombardo, P. J...... 1938 ∗ Matusinski, M...... 200 ♦ Miller, C...... 1125 Namazi, J...... 571 Lomeli, L. A...... 1732 Mawi, H. Z...... 530 Miller, C. A...... 1033 ∗ Nancollas, R. S...... 1666 Lomen, D. O...... 1258 Maxin, D...... 616 ♦ Miller, J. S...... 1417 Nankervis, B...... 588 Long,D.A...... 1837 ∗ Maxwell, D...... 237 Miller, L. E...... 727 Narasimhan, L...... 1222 ∗ Long Hoelscher, J...... 872 Mayeli, A...... 1840 Miller, M. A...... 1566 Narayan, D...... 885 Lopez, K. D...... 1574 Mayer, J. C...... 407 Miller, M. J...... 108 Narayan, D. A...... 1812 ∗ Loth, A. L...... 1701 Mays, M...... 367 Miller, M. S...... 1111 Nardo, J. C...... 1079 Loth, P...... 84 Mazur, D...... 1846 Miller, T. K...... 626 Nash, D...... 85 Lott, D. A...... 749 McBurney, S. A...... 1320 Miller Neilan, R...... 1000 Nashed, M. Z...... 403 Lott, P. A...... 1283 McClendon, M. S...... 1061 Millman, R...... 1256 Nashed, M. Z...... 1931 Louie, K. C...... 103 McDaniel, M. E...... 352 Milowski,R.A...... 1370 Naudus, P. S...... 1539 Louwsma, J...... 281 McDaniel, M. E...... 814 Milowski,R.A...... 1901 ∗ Nauenberg, M...... 1149 ∗ Lowrance, A...... 440 McDougall, A. C...... 114 Minakshisundaram, R. 312 Navaratna, M. B...... 1247 ∗ Lozano-Robledo, ˙ ..... 494 ∗ McDowall, S...... 227 Minchenko, A...... 87 ∗ Navon, I. M...... 476 Lozano-Robledo, ˙ ..... 799 ◦ McDuff, D...... 1646 Miner, M. D...... 850 Naymie, C...... 1796 Lu, Y...... 1563 McGee, D. L...... 1123 Miner, M. D...... 1629 Neal, C...... 155 Lubert,C.P...... 805 McGivney, K. G...... 1054 Miner, R. R...... 1371 Neilan, M. J...... 759 ∗ Lubin, J...... 263 McGowan, H. M...... 629 Minton, R...... 1584 Nelson, M...... 883 Lucas, A. R...... 506 ∗ McGowan, J...... 1165 Mints, G...... 1959 Nelson, M. A...... 148 Lucas, A. R...... 813 ∗ McGown,K.J...... 1202 Mireles-James, J. D. .. 1264 Netz, R...... 418 Lucas, B. J...... 1961 ∗ McGrath, P...... 1669 Mitchell, J. L...... 729 Neuerburg, K. M...... 1402 Lucas, T. A...... 1633 McGraw, R. H...... 362 Mitchell, L. H...... 1432 ∗ Nevai, A. L...... 1695 Luecke, J...... 1598 McGraw, R. H...... 1911 ∗ Mitschi, C...... 1188 ∗ Nevins, M...... 1727 ∗ Luk, J...... 47 McGuire, L...... 404 Mittal, M...... 1306 ∗ Nguyen,D.D...... 1144 Lyons, C...... 1039 McHenry, E...... 1800 Moazzam, M...... 1095 Nguyen, H. D...... 137 ∗ Lyons, J. W...... 33 McKayle, C. A...... 1042 ∗ Mochan, E...... 1138 Nguyen, H. N...... 1040 ∗ Lysne, M...... 1677 McKenzie, J. D...... 160 Modarresi, K...... 163 Nguyen,M.N...... 1309 ∗ Ma, W.-X...... 1208 McKenzie, J. D...... 1118 ∗ Mohamed, M. S...... 240 Nguyen, S. L...... 1009 ∗ Ma, W.-X...... 1503 McKIbben, M. A...... 90 Mohammed, A. A...... 109 ∗ Nguyen-thi, Y.-N...... 696 Mabrouk, S. L...... 1590 McKinney, C. B...... 171 ∗ Mohammed-Awel, J. S. 1700 Nicholas, M. J...... 767 Mabrouk, S. L...... 1897 McLean, J. T...... 1074 Molitierno, J. J...... 857 Nichols, S. R...... 715 Mac an Bhaird, C...... 1339 McLoughlin,P.M...... 1643 Molnar, D. E...... 1558 Nicholson, N...... 1053 Mac an Bhaird, C...... 1944 McLoughlin,P.M...... 1882 Molzon,R.E...... 1464 Niemeyer, R. G...... 1270 Madison, B. L...... 888 McNamara, A...... 1289 Momeni, A...... 522 ∗ Nikolova, M...... 456 ∗ Magid, A. R...... 1722 McNicholas, E. M...... 1813 Monks, K. G...... 1899 ∗ Niu, B...... 192 Magidin, A...... 78 ∗ McReynolds, D. B...... 1158 ∗ Monks, M...... 922 ∗ Niyogi, P...... 1219 Magoun, A. D...... 1887 McSweeney, L. A...... 1418 Montelle,C.J...... 170 Nohara,B.T...... 1249 Mahavier, W. T...... 1122 Meade, D. B...... 877 Montelle,C.J...... 390 ∗ Nolan, C. J...... 226 ∗ Makover, E...... 1164 Medina, E...... 1260 Moore, J...... 151 ∗ Norman, R. Z...... 474 Malagon, A...... 1955 Meel, D. E...... 1852 Moore, J...... 1622 Norton,D.E...... 1871 Malmskog, B...... 1656 Megginson,R.E...... 385 Moore, K. C...... 1905 Noubary, R. D...... 1587 Mammo, B...... 724 Meilstrup, M. H...... 310 Moore, L...... 875 Novak, C. F...... 1272 Mamolo, A...... 1592 Mejia Ramos, J...... 1376 Moore, L...... 876 Nyman, K. L...... 101 Mancuso, T. A...... 1065 Melanson, L. M...... 512 Moore, M...... 307 Nyman, M. A...... 1560 Mancuso, T. A...... 1419 Melara, L. A...... 1835 Moore, T. E...... 610 O’Beirne, J...... 1545 ∗ Manes, M...... 966 Memoli, F...... 1783 ∗ Mophou, G...... 1206 O’Leary, M...... 565 ∗ Mantilla, G...... 495 ∗ Mendes, A. A...... 1176 Moran, J...... 1084 Obiekwe, J. C...... 1618 Marcia, R. F...... 1927 Menendez, J...... 583 Morawski, D...... 1792 Odenwald, S. F...... 970 Marcinek, T...... 1895 Menickelly, M. J...... 1801 Morgan, F...... 1822 Ohashi, R...... 174 Marin, L...... 181 Merel, P. R...... 164 Morpurgo, C...... 1029 ∗ Okoudjou, K. A...... 1747 Marivani, S...... 719 Meremikwu, A. N...... 1254 ∗ Morris, B. J...... 59 ∗ Olafsson, G...... 1748 Mark, D. A...... 345 Merkel, III, J. C...... 844 ∗ Morris, B. J...... 1771 Olinick, M...... 1081 Markkanen, T. J...... 1949 Merkel, J. C...... 147 Morrow, J...... 810 Oliver,D.R...... 361 Markos, M...... 1536 Merz, S. K...... 1440 Morton, M...... 1290 ∗ Olley, A. D...... 1683 Marotta,S.M...... 1269 Mete, F...... 1321 Moseman, E...... 1808 Oluyede, B...... 1466 Martin, C. D...... 185 Mete, F...... 1617 Moses, A. N...... 1010 Olypher, A. V...... 518 Martin, C. D...... 563 Meuser, J. R...... 1541 Moskol,A.E...... 1424 ∗ Onofrei, D. T...... 28 Martin, J. W...... 1533 Meyer, W...... 1340 ∗ Motreanu, D...... 26 ∗ Onofrei, D. T...... 42

110 NOTICES OF THE AMS VOLUME 57, NUMBER 1 San Francisco, CA – Presenters of Papers

Orcan, B...... 979 Pinzon,D.F...... 611 Roberts, G. E...... 1237 ∗ Sauer, T...... 31 Orig, M. J...... 341 Piotrowski, A...... 1879 ∗ Roberts, P. C...... 1174 ∗ Savage, A...... 960 ∗ Orrison, M. E...... 471 ∗ Pipher, J...... 39 Robertson, A...... 1868 ∗ Savage, M...... 1673 Ortiz, R...... 734 ∗ Pitman, J...... 1762 Robertson, L...... 1940 Sawyer, J. F...... 552 Osifodunrin, A. S...... 124 Pitney, E. E...... 581 Robeva, R...... 892 Saxe, K...... 806 Osler, T. J...... 301 Pivarski, M. A...... 1326 Robeva, R. S...... 1045 Saydam, A. S...... 821 Osman, Y...... 1324 Pizer, A...... 880 Rock, J. A...... 845 Saydam, A. S...... 859 Ostapyuk, O...... 1648 ∗ Plansangkate, P...... 1517 Rockell, C...... 562 Scanlon, T...... 965 Ostermann, I...... 398 Platt, K. J...... 1411 • Rodnianski,I.Y...... 1636 ∗ Scanlon, T...... 1187 ∗ Ostrik, V...... 1709 ∗ Plofker, K...... 1147 Roe-Dale, R. R...... 133 Schaffer, K. H...... 1325 Otero, D. E...... 809 Podleski, A...... 1338 ∗ Roeger, L.-I. W...... 1697 ∗ Scheidler, R...... 425 Ott, K. A...... 1956 Poet,J.L...... 134 Rogers, E. C...... 1064 ∗ Schenck, H...... 63 Otto, P. T...... 292 Poet,J.L...... 349 Roh, K...... 1377 Schield, M...... 1334 Ouayoro, M. W...... 765 Poitevin, L. P...... 630 Roh, K. H...... 878 Schlicker, S...... 1110 ∗ Ovchinnikov, A...... 1190 ∗ Pollack, P...... 870 ∗ Rohatgi, R...... 926 ∗ Schlimm, D...... 1153 Owens, K. S...... 1625 Ponomarenko, V...... 82 ∗ Roiban,R.S...... 1759 ∗ Schmidt, B...... 930 Ozkahya,¨ L...... 788 Poole, L. D...... 532 Rojas, R. E...... 303 Schmidt, K...... 1850 ∗ Ozman, E...... 496 ∗ Poore, D. E...... 925 ∗ Rolf, J. S...... 682 Schou, S. B...... 161 Ozman, E...... 1655 ∗ Popescu, C. D...... 422 ∗ Ron, A...... 248 Schroeder, B. S...... 268 ∗ Packer, J. A...... 1750 ∗ Popova, A...... 475 Ronkese, R. J...... 999 Schubert, C...... 152 Padmanabhan, S...... 416 Popovici, C...... 1824 Rosenstein, G. M...... 393 Schubert, C...... 1363 Painter, J. L...... 777 ∗ Portilla, R...... 1495 ∗ Ross, N. F...... 61 Schultz, A. C...... 769 Palaniappan, D...... 978 Posner, D. B...... 1889 ∗ Rosset, S...... 1721 ∗ Schwede, K...... 431 ∗ Pankavich, S...... 936 Posta, F...... 504 Rossman, A. J...... 1428 Scott, J...... 909 ∗ Panova, G...... 1766 ∗ Postnikov, A...... 251 Roth, K...... 631 ∗ Scott, L. L...... 1714 Papakonstantinou, J. M. 1101 Potocka, K...... 600 Roth, V. J...... 1426 Scott, M. B...... 1421 ∗ Papanikolas, M...... 427 ∗ Powell, A...... 1752 Rouse, J...... 1552 Scoville, N. A...... 538 Papick, I. J...... 830 ∗ Poznanovi´c, S...... 1175 Rowe, S...... 1540 Scow, L...... 1962 ∗ Papikian, M...... 424 Poznanovi´c, S...... 1650 Rowland, E. S...... 723 Seacrest, T...... 320 ∗ Paquin, D...... 1506 Prado, L. M...... 786 ∗ Rowlett, J...... 1161 Seaman, C. E...... 825 Pararai, M...... 648 ∗ Pramanik, M...... 222 ∗ Roy, I...... 194 Sears, J. R...... 1788 Pardhanani, A. L...... 1572 Presser, K. J...... 342 ∗ Roychowdhury, M. K. . 698 ∗ Seceleanu, A...... 429 ∗ Park, E.-H...... 193 Price, K. L...... 1414 Royer, M. G...... 617 Sedlock, M. R...... 290 ∗ Park, J.-W...... 963 Prier, D. R...... 782 Rozenblyum, A...... 1640 Seeburger, P. E...... 618 Parker, G. E...... 1073 ∗ Proctor, E...... 928 Rubiano, A. C...... 1661 Seeburger, P. E...... 1896 Parker,M.R...... 796 Pruett, W. A...... 1107 Rublein, G...... 606 Sega,L.M...... 731 Parr, A. W...... 1316 Ptacek,R.M...... 1277 Rublein, G...... 1571 ∗ Selgrade, J. F...... 940 ∗ Parrilo, P. A...... 1691 ∗ Pudwell, L...... 1183 ∗ Rudd, M...... 25 Serenevy, A. K...... 1886 ∗ Parshall, B...... 1715 ∗ Purcell, J. S...... 442 Ruggieri, E. R...... 1465 ∗ Serfati, M. P...... 1148 Pascal,J.A...... 1825 Qazi, M. A...... 1013 Rupprecht, N...... 1443 ∗ Serganova, V...... 1704 Pascali, D. D...... 1304 ∗ Qiao, Z...... 1742 Rusnak,L.J...... 790 Serros, S. J...... 627 Patterson,C.L...... 279 ∗ Qu, C...... 1499 ∗ Russell, E. D...... 204 Seshaiyer, P...... 348 Paulhus, J...... 1937 Quertermous, K. S. ... 1305 ∗ Russell, H. M...... 212 Shabazz, A. A...... 1449 Peifer, D...... 1097 Quinney, D...... 1384 Russell, T. F...... 401 Shafii-Mousavi, M...... 853 ∗ Pelesko, J. A...... 918 ∗ Quinto,E.T...... 45 ∗ Rybkin, A...... 1498 ∗ Shao, A...... 50 Pelsmajer, M. J...... 1092 Radcliffe, D. G...... 1604 Rybolt, W. H...... 1117 Shaqlaih, A. S...... 1295 Pemy, M. N...... 1395 ∗ Radu, P...... 938 Rychtar, J...... 730 ∗ Shareshian, J...... 1613 Penn, H. L...... 1580 ∗ Raffoul,Y.N...... 487 Rychtar, J...... 896 Sharma, S...... 1028 Peres, Y...... 3 ∗ Rahmati, H...... 1173 Rychtar, J...... 1046 ∗ Shearer, M...... 1458 Peres, Y...... 8 ∗ Rajaratnam, B...... 58 Rykken, E...... 1567 ∗ Shen, J...... 482 Peres, Y...... 10 Ramamurthi, R...... 1091 Sabuwala, A. H...... 986 ∗ Shen, S. S...... 1735 ∗ Peres, Y...... 246 Rao, A. S...... 1772 ∗ Saccon, S...... 1172 ∗ Shen, Z...... 1743 Perry, A. B...... 392 Rash,A.M...... 366 Saccon, S...... 1652 Sheng, D. D...... 570 Perry, A. B...... 1094 Rash,A.M...... 608 Saclolo, M. P...... 1570 Sheng, D. D...... 1834 ∗ Perry, P. A...... 1157 ∗ Ratliff, T. C...... 691 Safnuk, B...... 1037 ∗ Sheng, Q...... 700 Pesic, V...... 291 ∗ Ratzkin, J...... 1162 ∗ Sagan, B. E...... 1177 Shiflet,A.B...... 1333 Petereit, J...... 1532 Razzaghi, M...... 297 ∗ Sagerschnig, K...... 1753 Shipman, B...... 891 ∗ Petersen, T. K...... 1615 Razzaghi, M...... 1638 ∗ Sahai, A...... 458 Shiu, A...... 1647 Peterson, A...... 1001 Reff, N. H...... 1817 Saito, N...... 1929 ∗ Shiu, A...... 1687 Peterson, E...... 1262 Reinkoester, J. N...... 773 Salceanu, P. L...... 519 Shoemaker, C...... 866 ∗ Peterson, E...... 1457 ∗ Reintjes, M. A...... 52 Sally, P. J...... 716 • Shor, P. W...... 419 Peterson, E...... 1894 Reiter,H.B...... 373 ∗ Sally, P. J...... 1493 Shorter, P. A...... 144 ∗ Petrunic, J. G...... 1477 Rhoads, J. A...... 740 ∗ Samson, S...... 694 Sia, C...... 1774 ∗ Petsche, C...... 264 ∗ Ribet, K. A...... 706 ∗ Sanabria, C...... 1191 Siegel, M. H...... 158 Pfaff, T. J...... 882 Richardson, P. A...... 176 Sandberg, S...... 559 Siegel, M. H...... 369 Pfaff, T. J...... 971 Richardson, S. L...... 386 Sandefur, J...... 879 Siegrist,K.T...... 1365 Pfaff, T. J...... 1080 Richeson, D...... 1280 Sanders, M. J...... 1069 ∗ Siles Molina, M...... 668 ∗ Piepmeyer, G...... 430 Rickey,V.F...... 173 ∗ Sanyal, S...... 701 ∗ de Silva, V...... 1482 Pierce,D.M...... 1346 Riedl, E...... 1811 Sanyal, S...... 1399 Silverberg, A...... 640 Pierce, I...... 293 Ringland, J...... 739 Saoub, K. R...... 1816 ∗ Silverberg, A...... 708 Pineda, A. R...... 597 Ritter, L. R...... 513 Sarhangi, R...... 1317 ∗ Silversmith, R...... 1470

JANUARY 2010 NOTICES OF THE AMS 111 Presenters of Papers – San Francisco, CA

Simmons,C.K...... 1096 Stine, J...... 575 Tosmur- Bayazit, N. .... 375 Wackwitz, D. J...... 1793 Simons,F.J...... 399 Stoiciu, M...... 1008 ∗ Toundykov, D...... 658 Wade, J...... 1014 Simoson, A. J...... 619 Stolee, D...... 784 ∗ Tovey, C. A...... 689 Waggoner, M...... 1853 Simpson, S. D...... 1071 Stoll, C...... 913 ∗ Townsend, J...... 1670 • Wagner, D. G...... 1134 ∗ Sims, A...... 665 ∗ Stoltzfus, N. W...... 218 ∗ Townsend, S. D...... 1667 Wagner, J. D...... 852 Sinclair, A...... 9 Straley, H. W...... 838 Townsley, L...... 1121 Wagstrom, R. B...... 1522 ∗ Singer, A...... 673 Streinu, I...... 976 Traeger, C. P...... 167 Waiveris, C...... 1352 ∗ Singer, M. F...... 1186  Strogatz, S...... 1958 ∗ Tragoonsirisak, P. .... 1212 Wakefield, T. P...... 326 ∗ Sinha, K...... 952 Stromquist, W...... 1090 Trautwein, A. K...... 580 Walji, N...... 1945 Sinn, R...... 890 Stuart,J.L...... 1854 Treinen, R...... 742 ∗ Wall, B. E...... 1682 Sivasundaram, S...... 1244 ∗ Sturmfels, B...... 62 Trentham, W. T...... 780 Walsh, S...... 526 Skripka, A...... 1031 ∗ Sturmfels, B...... 1692 ∗ Triggiani, R...... 933 Walter, M. E...... 1086 Sloane, N. J...... 317 Su, C...... 182 Trotter, W. T...... 1390 Walton,C.M...... 1651 Sloughter, D. C...... 1360 ∗ Su,F.E...... 690 Tsai, C.-Y...... 1659 Walton, D...... 904 Small, D...... 894 ∗ Sullivant, S...... 1689 Tsakiri, K. G...... 1056 Walton, D. B...... 1044 Small, D...... 1225 Sulman, R. M...... 1263 Tsao, H.-p...... 542 ∗ Wang, C...... 664 ∗ Smart, C. K...... 661 ∗ Sumner, S...... 1699 Tseng, S...... 143 Wang, J...... 321 ∗ Smith, B. R...... 1203 Sundberg, E...... 1438 ∗ Tshishiku, B...... 1469 Wang, L...... 747 ∗ Smith, C...... 450 ∗ Sussan, J...... 1712 Tu, Z...... 1799 Wang, L...... 1404 ∗ Smith, D. C...... 54 Sutner, K...... 272 ∗ Tucker, K...... 432 ∗ Wang, L.-L...... 197 ∗ Smith, E. C...... 1199 Swainston, S. A...... 1423 ∗ Tucker,T.J...... 72 Wang, M...... 1002 Smith, E. D...... 818 Swim,E.W...... 1294 ∗ Tuffaha, A...... 656 ∗ Wang, Q...... 51 Smith, E. D...... 1620 ∗ Swinarski, D. J...... 499 Tunc, D...... 1963 Wang, Q...... 787 Smith, G...... 2 Sykes, J. D...... 795 Turlington, A...... 1446 ∗ Wang, W...... 196 Smith Risser, H...... 815 Szlam, A. D...... 1932 Turlington, A...... 1658 ∗ Wang, X...... 483 Smith Risser, H...... 1892 Szurley, D. C...... 1830 Turner, B. F...... 370 Wang, Y...... 96 ∗ Smolka, L. B...... 1461 Szydlik,S.D...... 372 Turner, B. F...... 1229 Wang, Z...... 1303 ∗ Smulevici, J...... 233 ∗ Szyld, D. B...... 19 Turner, G. E...... 579 Ward,M.B...... 1606 Snyder, J. D...... 1527 ∗ Tabor, M...... 915 Turner, P. R...... 633 Warne, D. A...... 1953 So, S. S...... 577 Tadesse, A...... 1839 ∗ Tvalavadze, M...... 959 Washington,T.M. .... 1917 ∗ So, W...... 255 Taipale, K. E...... 1657 Uko, L. U...... 760 Wattenberg, F...... 874 Sohrab,H.H...... 1641 ∗ Tamasan, A...... 230 Ulgen Yildirim, S...... 1416 Webber, R. P...... 620 ♦ Solecki, S. J...... 1126 Tang, D...... 508 Ulgen Yildirim, S...... 1425 Weber, E. D...... 1909 Solis,D.A...... 1782 Tannouri, A. E...... 1844 ∗ Ulmer, D...... 423 ∗ Weedermann, M...... 1456 ∗ Sommese, A...... 1486 Tannouri, C. A...... 1916 ∗ Umans, C...... 459 ∗ Wei, A. R...... 1473 Sondow, J...... 725 ∗ Tarokh, V...... 461 Umble, R...... 536 ∗ Wei, G...... 1160 ∗ Song, G...... 18 Tatar, A. E...... 1038 Unal, M...... 1236 Wei, J...... 371 Song, J. S...... 1595 Tattersall, J. J...... 391 Unver, A. K...... 1842 Weintraub, S. H...... 770 ∗ Sostarecz, M. C...... 916 ∗ Tattersall, J. J...... 1480 ∗ Urbano, J...... 663 Wells, B...... 316 ∗ Spallone,S.T...... 1731 Taylor, D. G...... 329 Urdiales, E...... 527 Wells, B...... 1862 ∗ Sparling, G. A...... 1761 Tchuenche, M...... 732 ∗ Uribe, A...... 929 Welters, A...... 184 Speed, M...... 271 Teague, D. J...... 635 Usmanov, S. M...... 1023 Wenger, P...... 1874 Speer,N.M...... 1063 Tefera, A...... 121 Ustayev, M...... 1025 West, D. B...... 1394 Spence, D...... 823 Teguia, A. M...... 1784 ∗ Validashti, J...... 433 West, R...... 1076 Spence,D.J...... 1630 ∗ Teitler, Z...... 1685 ◦ Van Brummelen, G. .... 637 Westlund,E.E...... 1820 ∗ Spicer,J.A...... 1128 Teixeira, P...... 1327 Van Cott, C. A...... 1627 Whitcher, U. A...... 1957 Springborn, M. R...... 165 ∗ Teran, J. M...... 1221 Van Fleet, P. J...... 846  White, B...... 1130 Sprowls, S. L...... 1058 ∗ Tesler,G.P...... 1769 ∗ Varilly-Alvarado, A...... 498 White, D...... 365 ∗ Srinivasan, V. R...... 1713 ∗ Thelwell, R...... 920 ∗ Vasy, A...... 43 White, D...... 599 ∗ Sriram, B...... 1142 Therkelsen, R. K...... 315 ∗ Vazirani, M...... 1706 White, J. A...... 624 ∗ Sritharan, S. S...... 478 ∗ Thibodeaux, J. J...... 1455 Veenstra,T.B...... 972 ∗ Whitehouse, D...... 1197 Staab, P...... 1051 ∗ Thiele, R...... 1150 Vega,O.E...... 302 Whiteley, W...... 997 Stagg, K...... 1412 Thille, C. M...... 274 Velasquez, E...... 515 Whiteley, W...... 1589 ∗ Staicu, V...... 23 Thomas, V...... 277 Velez-Marulanda, J. A. 1407 ◦ Whitesides, S...... 1124 ∗ Stanhope, E...... 927 Thompson, T...... 177 ∗ Vempala, S. S...... 466 Whitman, P. D...... 982 ∗ Stankewitz,R.L...... 683 Tian, Y...... 1838 Venuti, S. M...... 1050 Wierman, J. C...... 91 Stankus, M...... 1311 Tiemeyer, M...... 783 Venuti, S. M...... 1543 Wilcox, E...... 275 • Stanley, R. P...... 188 ∗ Tiep, P...... 1703 ∗ Vergne, M...... 247 Wilkerson, D...... 987 • Stanley, R. P...... 652 Tirel, C. J...... 278 ∗ Vese, L. A...... 1115 • Wilkinson, A...... 183 • Stanley, R. P...... 1131 Tkachenko, V...... 1006 Vincent, K. M...... 409 Williams, K...... 1603 Starbird, M...... 713 ♦ Todorcevic, S...... 1645 ∗ Vinti, G...... 1116 Williams, T. D...... 1398 Starbird, M...... 717 ∗ Tohaneanu, M. H...... 48 Vis, T. L...... 1436 Williamson, L...... 270 ∗ Stavrov, I...... 236 Tokgoz, E...... 142 ∗ Vitulli, M. A...... 1171 ∗ Willis, P. N...... 667 Steele, B...... 1078 ∗ Tomforde, M...... 444 Vixie, K. R...... 1935 Wilmer, E...... 3 Stein, W. A...... 543 Tone, C...... 289 ∗ Voight, J...... 711 Wilmer, E...... 5 Stein, W. A...... 641 ∗ Tone, F...... 1500 Volker, M...... 400 Wilmer, E...... 7 ∗ Steinberger, J. P...... 253 Tong, Z...... 1631 ∗ Volker, M...... 1507 Wilson, J...... 1856 ∗ Steingrimsson, E...... 1182 Tongen, A...... 1582 ∗ Voloch, J. F...... 265 ∗ Wilson,J.M...... 468 Steinhardt, J. N...... 1435 Toppin, K...... 286 Vulis, M...... 1098 Winicki Landman, G. 1342 Steinhurst, B...... 1243 Torney, D. C...... 726 Vulis, M...... 1431 Wisniewski, D. P...... 728 ∗ Stephenson, K...... 686 ∗ Torres, R. H...... 220 ∗ Wachs, M. L...... 1614 ∗ Witherspoon, S...... 1491

112 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Presenters

Wittwer, J...... 840 Wodarz,N.M...... 812 in Wong, P. N...... 1865 MATH Woodburn, C. J...... 1883 Wright,S.E...... 1024 Wright,T.J...... 1557 the Wu,H.J. 1021 MEDIA ...... Wu, K...... 299 Wu, Q...... 720 Wu, Q...... 1012 www.ams.org/mathmedia/ ∗ Xie, X...... 1213 Xiong, M...... 548 Xiong, S...... 93 Xiong, T...... 544 ∗ Xu, T...... 1736 Yagdjian, K...... 753 Yakubu, A.-A...... 1663 ∗ Yan, C...... 249 Yan, H...... 322 Math in the news ∗ Yang, B.-Y...... 55 from the American Yang, C...... 509 Yang, M...... 1011 Mathematical Society Yang, Q...... 130 Yang, Y...... 585 Yang, Y...... 996 ∗ Yang, Y...... 1693 Mathematicians on television Yap, S. L...... 340 Yarahmadian, S...... 510 Yasskin,P.B...... 269 Prizewinners ∗ Yatauro, M. R...... 257 Yates, G...... 899 High school math prodigies Yates, G. T...... 1049 ∗ Ye, M...... 481 Ye, X...... 1803 Encryption Yestness, N...... 1919 ∗ Yi, E...... 69 Data-mining at the NSA Yoshinobu, S. T...... 1912 Young,B.J...... 127 Young,G.S...... 1526 The shape of soccer balls Yousef, M...... 578 Yu, C. 1250 ...... Sabermetrics Yu, J...... 95 ∗ Yu, J...... 1738 ∗ Yu, J.-K...... 1725 Mathematics of cake-cutting ∗ Yu, Y...... 662 ∗ Yung, P...... 221 Zack, M...... 1257 The Poincaré conjecture Zarrouk, M. G...... 1282 Zeeman, M...... 967 Women in math ∗ Zelditch, S...... 931 Zeleke, A...... 553 ∗ Zelenko, I...... 1754 Quantum computing Zemlyanova, A...... 1535 ∗ Zhang, C. 14 ...... Mathematical art exhibits ∗ Zhang, G...... 1209 Zhang, H...... 1015 Zhao, L...... 1537 Climate modeling ∗ Zhao, R...... 1694 Zhao, Y...... 549 Zhen, Q...... 97 The statistics of war crimes ∗ Zhou, F...... 1740 ∗ Zhu, H. J...... 707 Mathematics of finance Zhu, L...... 642 Zhu, T...... 1819 Zhu, X...... 1602 ∗ Zhu, Y...... 15 AMS members: Sign up for the Headlines & Deadlines service at ∗ Zimmer, G. B...... 1508 Zinchenko, M...... 1642 www.ams.org/enews to receive email notifications when each new Zou, H...... 1872 issue is posted. Zyman, M...... 284

JANUARY 2010 NOTICES OF THE AMS 113 Program of the Sessions San Francisco, California, January 13–16, 2010

2:30PM Shuffling and Strong Stationary Times. Monday, January 11 (5) Elizabeth Wilmer, Oberlin College MAA Short Course on Exploring the Great Books of 3:30PM Break Mathematics, Part I 4:00PM Mixing Times and Hitting Times. (6) David Aldous, University of California Berkeley 9:00 AM –4:30PM Organizers: Amy Shell-Gellasch, Beloit College Glen Van Brummelen,Quest University 8:00AM Registration (outside Room 2002, Moscone). Tuesday, January 12 9:00AM Ptolemy’s Almagest: Greek mathematics and the (1) heavenly bodies. Alex Jones, New York University AMS Department Chairs Workshop 1:30PM Newton’s Principia. (2) George Smith, Tufts University 8:00 AM –6:00PM Organizers: Lawrence F. Gray,Universityof AMS Tutorial on Modeling, Part I: Introduction to Minnesota Numerical Modeling Stephen B. Robinson,WakeForest University 9:00 AM –4:30PM Presenter: Chi-Wang Shu,BrownUniversity 8:00AM Registration (outside Room 2002, Moscone). MAA Ancillary Workshop on Statistics: Teaching Introductory Statistics AMS Short Course on Markov Chains and Mixing 8:30 AM –5:00PM Times, Part I Presenters: Carolyn K. Cuff, Westminster College 9:30 AM –5:00PM Michael A. Posner, Villanova University Organizers: David A. Levin, University of Oregon Yuval Peres, University of California, Berkeley and Microsoft MAA Ancillary Workshop on Statistics: Become a Elizabeth L. Wilmer, Oberlin College Catalyst for Change in Statistics Education 8:00AM Registration (outside Room 2002, Moscone). 8:30 AM –5:00PM 9:30AM Simulation and Markov Chain Monte Carlo. (3) Elizabeth Wilmer*, Oberlin College, and Yuval Presenters: Joan Garfield, University of Minnesota Peres*, University of California, Berkeley Bob delMas, University of Minnesota 10:30AM Break Andy Zieffler, University of Minnesota 11:00AM Coupling and Variations. Allan Rossman, California Polytechnic (4) David Levin, University of Oregon Institute NOON Problem Session Beth Chance, California Polytechnic 2:00PM Problem Session: Solutions Institute

The time limit for each AMS contributed paper in the sessions is ten Papers flagged with a solid triangle () have been designated by the minutes. The time limit for each MAA contributed paper varies. In the author as being of possible interest to undergraduate students. Special Sessions the time limit varies from session to session and within Abstractsofpaperspresentedin the sessions at this meeting will be sessions. To maintain the schedule, time limits will be strictly enforced. found in Volume 31, Issue 1 of Abstracts of papers presented to the For papers with more than one author, an asterisk follows the name of American Mathematical Society, ordered according to the numbers in the author who plans to present the paper at the meeting. parentheses following the listings.

114 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

AMS Short Course on Markov Chains and Mixing Times, Part II Wednesday, January 13

9:00 AM –4:30PM Joint Meetings Registration Organizers: , University of Oregon David A. Levin 7:30 AM –6:00PM Yuval Peres, University of California, Berkeley and Microsoft Elizabeth L. Wilmer, Oberlin College AMS-SIAM Special Session on Mathematics of 9:00AM Lower Bounds. Computation, I (7) Elizabet Wilmer, Oberlin College 8:00 AM –10:50AM 10:00AM Break Organizers: , Louisiana State 10:30AM The Cut-off Phenomenon and the Ising Model. Susanne Brenner (8) Yuval Peres, University of California Berkeley University ,BrownUniversity 11:30AM Markov chain mixing—examples and applications. Chi-Wang Shu (9) Alistair Sinclair, University of California Berkeley 8:00AM A Coarsening Algorithm on Adaptive Grids by (14) 2:00PM Dynamics for the Ising Model, and Its Mixing Time. Newest Vertex Bisection and its Applications. (10) David Levin*, University of Oregon, and Yuval Chensong Zhang*, PA, and Long Chen,CA Peres*, University of California, Berkeley (1056-65-1959) 3:00PM Break 8:30AM Convergence of Adaptive Finite Element Methods for (15) Nonlinear Partial Differential Equations. Preliminary 3:30PM Panel Discussion: Open Problems report. Michael Holst, Gantumur Tsogtgerel and MAA Short Course on Exploring the Great Books of Yunrong Zhu*, University of California San Diego Mathematics, Part II (1056-65-2033) 9:00AM Coordinate Descent for L1 Optimization. 9:00 AM –5:00PM  (16) Preliminary report. Yingying Li*andStanley Osher,Universityof Organizers: Amy Shell-Gellasch, Beloit College California, Los Angeles (1056-49-345) ,Quest Glen Van Brummelen 9:30AM Parallel computation with the weakly over-penalized University (17) symmetric interior penalty method. 9:00AM Cauchy and the Cours d’analyse. Andrew T. Barker*andSusanne C. Brenner, (11) Robert E. Bradley*, Adelphi University, and Ed Louisiana State University (1056-65-1193) Sandifer, Western Connecticut State College 10:00AM Approximation of kernel matrices with multilevel 1:15PM How algebra became modern.  (18) circulant matrices. (12) Fernando Q. Gouvˆea, Colby College Guohui Song*, Illinois Institute of Technology, and 4:20PM Tracking the great writings of mathematics. Yuesheng Xu, Syracuse University (1056-65-454) (13) Ivor Grattan-Guinness, Middlesex University 10:30AM Very fast methods and preconditioners for banded Business School (19) matrices and PDEs on irregular domains. Martin Gander, S´ebastien Loisel,Universit´ede Gen`eve, and Daniel B Szyld*, AMS Tutorial on Modeling, Part II: Introduction to (1056-65-1445) Statistical Modeling

9:00 AM –4:30PM AMS-ASL Special Session on Surreal Numbers, I

Presenter: Wei Zhu, State University of New York, 8:00 AM –10:40AM Stony Brook Organizers: Lou van den Dries,Universityof Illinois MAA Board of Governors Philip Ehrlich, Ohio University 8:00AM Surreal Numbers, Conway Names, and the 9:00 AM –5:00PM (20) Simplicity Hierarchy. Philip Ehrlich, Ohio University (1056-03-262) AMS Council 9:00AM Surreal numbers and real analysis. (21) Ovidiu Costin, The Ohio State University 1:30 PM – 10:00 PM (1056-03-1098) 10:00AM Recent work on H-fields. (22) Lou van den Dries,Universityof Joint Meetings Registration Illinois-Urbana/Champaign (1056-03-987)

3:00 PM –7:00PM AMS Special Session on Degenerate and Singular Elliptic Partial Differential Equations, I MAA New Committee Chairs Workshop 8:00 AM –10:50AM 7:00 PM –9:00PM Organizers: Marian Bocea, North Dakota State Organizers: Barbara T. Faires, Westminster University College Cristina Popovici, North Dakota State Martha J. Siegel,TowsonUniversity University

JANUARY 2010 NOTICES OF THE AMS 115 Program of the Sessions – Wednesday, January 13 (cont’d.)

8:00AM Multiple solutions for superlinear p-Laplacian 9:00AM Bilinear Hilbert transforms along curves. (23) Neumann problems. (37) Xiaochun Li, University of Illinois at Vasile Staicu, University of Aveiro, Portugal Urbana-Champaign (1056-42-1632) (1056-35-2120) 9:30AM A nonlinear stationary phase method for oscillatory 8:30AM Γ-convergence of power-law functionals with (38) Riemann-Hilbert problems. Preliminary report. (24) variable exponents. Q. Yen Do, UCLA (1056-42-1360) Marian Bocea, NDSU (1056-35-1108) 10:00AM Weak Convergence in multiparameter Hardy 9:00AM Statistics of p-harmonic functions. Preliminary (39) spaces. (25) report. Jill Pipher, Brown University (1056-42-280) , University of Idaho (1056-35-1492) Matthew Rudd 10:30AM An index formula in connection with meromorphic 9:30AM Multiple and sign-changing solutions for nonlinear (40) approximation. Preliminary report. (26) elliptic problems with p-Laplacian. Alberto A. Condori, Rose-Hulman Institute of Dumitru Motreanu, University of Perpignan, France Technology (1056-42-1657) (1056-35-878) 10:00AM Subelliptic regularity in non-nilpotent cases. AMS Special Session on Inverse Problems: Analysis (27) Andras Domokos, California State University at Sacramento (1056-35-661) and Computations (Mathematics Research Communities session), I 10:30AM Near cloaking defeats the anti-cloak.  (28) Daniel T. Onofrei,UniversityOfUtah (1056-35-1438) 8:00 AM –10:50AM Organizers: Gaik Ambartsoumian,Universityof AMS Special Session on Difference Equations and Texas at Arlington Applications, I Raluca Felea, Rochester Institute of Technology 8:00 AM –10:50AM Hongyu Liu, University of Washington Organizer: Michael Radin, Rochester Institute of Kui Ren, University of Texas at Austin Technology Michael VanValkenburgh,University 8:00AM Open Problems and Conjectures in Difference of California Berkeley  (29) Equations. Preliminary report. 8:00AM Inverse Source Problems for Electromagnetics. Gerasimos E Ladas, University of Rhode Island (41) Preliminary report. (1056-39-320) Gang Bao*, Junshan Lin, Michigan State University, 8:30AM Applications of number theory to asymptotic and Faouzi Triki, University of Fourier, France (30) behavior of solutions of difference equations. (1056-35-1238) Richard T Guy*, Kenneth S Berenhaut and 8:30AM Active exterior cloaking. Katherine M Donadio,WakeForestUniversity (42) Daniel T Onofrei,UniversityOfUtah (1056-39-1865) (1056-35-1487) 9:00AM Global convergence of max-type equations. 9:00AM Diffraction at corners for the on  (31) Timothy Sauer, George Mason University (43) differential forms. (1056-39-232) Andras Vasy, Stanford University (1056-35-798) 9:30AM The Z-transform of queuing systems. Preliminary 9:30AM Interior Transmission Eigenvalue Problem and its  (32) report. (44) Application in Inverse Scattering Theory. Mostafa Ghandehari*andShahrzad Sheibani, Fioralba Cakoni, University of Delaware University of Texas at Arlington (1056-39-34) (1056-35-256) 10:00AM Boundary Data Smoothness for Solutions of 10:00AM Local Singularity Reconstruction from Integrals (33) Nonlocal Boundary Value Problems for nth Order (45) over Curves in R3 and electron microscopy. Difference Equations. Preliminary report. Preliminary report. Jeffrey W Lyons, Baylor University (1056-39-28) Eric Todd Quinto*, Tufts University, and Hans 10:30AM On The Global Behavior Of a System Of Rational Rullgard, University of (1056-92-491)  (34) Preliminary report. Difference Equations. 10:30AM Ultrasound modulated electrical impedance and , University of Rhode Island, E. A. Grove Y.  (46) optical tomography. Preliminary report. *, Xavier University of Louisiana, , Kostorv M. Radin Peter Kuchment*, Texas A&M University, Leonid Rochester Institute of Technology, and , S. Schultz Kunyansky, University of Arizona, Moritz Allmaras Providence College (1056-39-1290) and Wolfgang Bangerth,TexasA&MUniversity (1056-35-1024) AMS Special Session on Harmonic Analysis (Mathematics Research Communities session), I AMS Special Session on the Mathematical Challenges 8:00 AM –10:50AM of Relativity (Mathematics Research Communities session), I Organizers: Kabe Moen, Washington University Richard Oberlin,Universityof 8:00 AM –10:50AM California Los Angeles Organizers: Paul T. Allen, Lewis & Clark College Betsy Stovall, University of California Los Angeles Michael Eichmair, M.I.T. and Monash University 8:00AM On an interesting singular integral operator. (35) Preliminary report. Gustav Holzegel, Princeton University Camil Muscalu, Cornell University (1056-42-1207) Jared Speck, Princeton University 8:30AM Maximal averages along one-variable vector fields. Willie W. Wong,Universityof (36) Michael Bateman, UCLA (1056-42-1455) Cambridge

116 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

8:00AM Decay Rate for the Linear Wave Equation on a 10:30AM Using Reversible Markov Chains for Distributional (47) Schwarzschild . (61) Approximation. Preliminary report. Jonathan Luk, Princeton University (1056-35-1449) Nathan F. Ross, University of California, Berkeley 8:30AM Strichartz estimates for Kerr backgrounds. (1056-60-1408) (48) Mihai H Tohaneanu,PurdueUniversity (1056-83-1296) AMS Special Session on Zonotopal Algebra and Its 9:00AM Strichartz estimates on asymptotically de Sitter (49) spaces. Applications, I Dean R. Baskin, Stanford University (1056-35-1071) 8:00 AM –10:40AM 9:30AM Breakdown Criteria for Nonvacuum Einstein Organizers: Olga Holtz, University of California (50) Equations. Berkeley and Technical University Arick Shao, Princeton University (1056-83-921) Berlin 10:00AM Control of local null geometry by rough CMC initial Amos Ron, University of Wisconsin (51) data. 8:00AM Geometry of the Restricted Boltzmann Machine. Qian Wang, SUNY Stony Brook (1056-83-1910) (62) Maria Angelica Cueto,UCBerkeley,Jason Morton, 10:30AM Shock Waves in General Relativity. Stanford University, and Bernd Sturmfels*, UC (52) Moritz Andreas Reintjes, University of California in Berkeley (1056-62-423) Davis (1056-83-633) 9:00AM Piecewise polynomials and equivariant Chow (63) cohomology of nonsimplicial toric varieties. Preliminary report. AMS Special Session on Algebraic Aspects of Hal Schenck, University of Illinois (1056-14-1166) Cryptology, I 10:00AM Spectral Properties of the Transition Operators (64) Associated with Box Splines. Preliminary report. 8:00 AM –10:50AM Rong-Qing Jia, University of Alberta (1056-41-1114) Organizers: Jintai Ding, University of Cincinnati Chris Christensen, Northern Kentucky 8:00AM Algebraic Attacks on Bivium and Trivium, AMS Special Session on Applications of Graph  (53) Accelerated by Cutting the Variable-Sharing Graph. Theory, I Gregory V. Bard, Fordham University (1056-12-1496) 8:00 AM –10:50AM 8:30AM The Effect of Projection on the Symmetry of the Organizers: Richard Low, San Jose State University (54) SFLASH Attack. Daniel C. Smith, Indiana University (1056-12-942) Ralucca M. Gera, Naval Postgraduate School 9:00AM Multivariate Public Key Cryptography. 8:00AM  (55) Bo-Yin Yang, Academia Sinica (1056-13-1203) The Link Graph: a Tool for Word Sense  (65) Disambiguation. 10:00AM Multivariate Public Key Cryptosystems from *, Naval Postgraduate School, (56) Ralucca M. Gera Diophantine Equations. Henry Escuadro, Juniata College, Pranav Anand, Raymond A. Heindl, Clemson University Linguistics Department, University of California (1056-14-982) Santa Cruz, and Craig Martell, Computer 10:30AM Square Encryption Schemes: New Directions in Science Department, Naval Postgraduate School (57) Multivariate Public-Key Cryptography. (1056-05-226) Crystal Lee Clough, Nanyang Technological 8:30AM A Generalization of Kundu’s k-Factor Theorem. University, Singapore (1056-12-493)  (66) Preliminary report. Arthur H. Busch, University of Dayton, Michael J. Ferrara, University of Colorado Denver, Stephen G. AMS Special Session on Markov Chains and Their Hartke*, University of Nebraska-Lincoln, Michael S. Statistical Applications (Mathematics Research Jacobson, University of Colorado Denver, Communities session), I Hemanshu Kaul, Illinois Institute of Technology, and Douglas B. West, University of Illinois 8:00 AM –10:50AM (1056-05-344) 9:00AM Organizers: , University of California Graph invariants from self-assembling James Flegal  (67) Riverside nanostructures. Joanna Anthony Ellis-Monaghan*andGreta Radu Herbei, Ohio State University Pangborn, Saint Michael’s College (1056-05-287) , Stanford University Zuniga 9:30AM On k-circuit distance in graphs. 8:00AM Markov Chains, Generalized Wishart distributions (68) Ralucca Gera, Naval Postgraduate School, Grady (58) and Applications to High Dimensional Statistical Bullington, Linda Eroh*andSteven J Winters, Inference. University of Wisconsin Oshkosh (1056-05-1731) , Stanford University Bala Rajaratnam 10:00AM Coding Sequences and Their Applications. (1056-60-1253)  (69) Preliminary report. 9:00AM Improved mixing time bounds for the Thorp shuffle. Eunjeong Yi, Texas A&M University at Galveston (59) Preliminary report. (1056-05-1075) Ben J Morris, UC Davis (1056-60-1395) 10:30AM Bonding Tree Models of RNA Structures. Preliminary 10:00AM Applicability of drift and minorization condition for  (70) report. (60) finding rate of convergence of finite state space Teresa Haynes, Debra Knisley and Denise Markov chains. Koessler*, East Tennessee State University Partha Sarathi Dey, UC Berkeley (1056-60-1836) (1056-05-2014)

JANUARY 2010 NOTICES OF THE AMS 117 Program of the Sessions – Wednesday, January 13 (cont’d.)

AMS Special Session on Arithmetic and 10:00AM Lδ-equivalence of p-local abelian groups with nice Nonarchimedean Dynamics, I (84) decomposition bases. Ruediger Goebel, Katrin Leistner,Universityof 8:00 AM –10:50AM Duisburg-Essen, Germany, Peter Loth*, Sacred Heart University, and Lutz Struengmann,University Organizers: Joseph Silverman,BrownUniversity of Duisburg-Essen, Germany (1056-20-503) Michelle Manes, University of Hawaii 10:15AM An interpretation of the LLT algorithm. Raphael Jones, College of the Holy (85) Alexander Kleshchev and David Nash*, University Cross of Oregon (1056-20-579) 8:00AM Discriminants and Galois groups for iterated 10:30AM Simply intersecting pairs in the mapping class (71) rational functions. Preliminary report. (86) group. Rafe Jones*, College of the Holy Cross, and Leah Childers, Louisiana State University Michelle Manes, University of Hawaii-Manoa (1056-20-645) (1056-11-1117) 10:45AM Zariski closures of linear differential algebraic 8:30AM The dynamical Manin-Mumford problem. (87) groups. (72) Thomas J Tucker*, University of Rochester, Andrei Minchenko*, Cornell University, and Alexey Dragos Ghioca, University of Lethbridge, and Ovchinnikov, City University of New York Shouwu Zhang, Columbia University (1056-11-563) (1056-22-1028) 9:00AM The dynamical Manin-Mumford problem. (73) Dragos Ghioca, University of Lethbridge (1056-11-292) 9:30AM Towards Dynamical Uniform Boundedness for (74) Rational Functions. Preliminary report. AMS Session on Probability and Statistics, I Robert L. Benedetto, Amherst College (1056-11-658) 8:00 AM –10:40AM 10:00AM Preperiodic points: from algebraic to complex. 8:00AM MCMC methods for spatial random . (75) Laura DeMarco*, University of Illinois at Chicago, (88) Preliminary report. and Matt Baker, Georgia Institute of Technology John R Kerl, University of Arizona (1056-60-38) (1056-37-1206) 8:15AM Extracting multiscale information from time series 10:30AM Critical Points of Non-Archimedean Dynamical (89) characterizing nanoscale systems. (76) Systems on the Projective Line. Preliminary report. Christopher P Calderon,LawrenceBerkeley Xander Faber, McGill University (1056-11-664) National Lab (1056-60-91) 8:30AM Abstract Measure-Dependent Stochastic Evolution (90) Equations in a Hilbert Space with Applications to Nonlinear Diffusion. Preliminary report. Mark A McKIbben, Goucher College (1056-60-135) AMS Session on Group Theory, I 8:45AM Self-dual planar hypergraphs and exact bond (91) Preliminary report. 8:00 AM –10:55AM percolation thresholds. John C. Wierman, Johns Hopkins University 8:00AM Subgroups of Sn+1 normalized by and coprime to a (1056-60-452) (77) Preliminary report. regular subgroup of order n. 9:00AM Characterizing departure count moments from Stephen M. Gagola, Jr., Kent State University (92) queueing nodes fed by nonstationary, non-Poisson (1056-20-122) arrival processes. 8:15AM The nilpotent product and the nonabelian tensor Ira Gerhardt*, College, and Barry L. (78) square of groups. Preliminary report. Nelson, Northwestern University (1056-60-471) Arturo Magidin, University of Louisiana at 9:15AM Break Lafayette (1056-20-272) 9:30AM Lanchester SDEs and the probability of the target 8:30AM Finite Groups with Permutable Supplemented (93) destruction — a stochastic model of terrorism risk. (79) Subgroups. Preliminary report. Preliminary report. Joseph Kirtland, Marist College (1056-20-277) Michael Powers, Temple University, Department of 8:45AM Open Questions and Conjectures Regarding Near Risk Management and Insurance, Wei-Shi Yang and (80) Frattini Subgroups of Generalized Free Products of Sheng Xiong*, Temple University (1056-60-549) Preliminary report. Groups. 9:45AM Completely Simple Semigroups of Real d x d Mohammad K. Azarian, University of Evansville (94) Matrices and Recurrent Random Walks. (1056-20-371) Santanu Chakraborty, University of Texas - Pan 9:00AM A relationship between the property R∞ and the American, Edinburg, Texas (1056-60-581) (81) n geometric invariants Ω . 10:00AM A Stochastic Approximation Algorithm for Option Nic Koban*, University of Maine Farmington, and (95) Pricing Model Calibration with a Switchable Market. Peter Wong, Bates College (1056-20-474) George Yin, Wayne State University, Jie Yu*, 9:15AM Break Roosevelt University, and Qing Zhang,Universityof Georgia, Athens (1056-60-590) 9:30AM The Probability that Two Semigroup Elements (82) Commute Can Be Anything. 10:15AM Quantile Hedging for Guaranteed Minimum Death Vadim Ponomarenko*andNatalie Selinski,San (96) Benefits. Preliminary report. Diego State University (1056-20-497) Yumin Wang, Wayne State University (1056-60-670) 9:45AM Finite Phase Transitions in Countable Abelian 10:30AM On Sojourn Times in the Finite Capacity M/M/1 (83) Groups. (97) Queue with Processor Sharing. Hannah Alpert, University of Chicago Qiang Zhen*andCharles Knessl,Universityof (1056-20-499) Illinois at Chicago (1056-60-758)

118 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

AMS Session on Mathematics in the Social Sciences AMS Session on Geometry and Topology, I

8:00 AM –9:40AM 8:00 AM –10:10AM

8:00AM Continuous Time Model of Bifurcations and Related 8:00AM The writhe of oriented polygonal graphs.  (98) Phenomena in Agent-Based Models. (112) Christian Laing*, Courant Institute of Mathematical Andrew Clark, Thomson Reuters (1056-91-251) Sciences, NYU, and De Witt Sumners,FloridaState University (1056-54-131) 8:15AM Addiction and Treatment in a rational  (99) framework—can lowering health care costs have 8:15AM One-sided Heegaard splittings of 3-manifolds. adverse effects? Preliminary report. (113) Loretta Bartolini, Oklahoma State University Tamas Forgacs*, California State University, (1056-57-1255) Fresno, Attila Cseh, Valdosta State University, and 8:30AM Defining Khovanov Homology in 3-Manifolds Using Adnan Sabuwala, Californa State University, Fresno (114) a Diagramless Theory. (1056-91-909) Adam C. McDougall,TheUniversityofIowa 8:30AM Dynamical Analysis in Lucas Framework with (1056-54-1055)  (100) Heterogeneous Agents. Preliminary report. 8:45AM Unstable Vassiliev Theory. Yuanying Guan, Florida State University (115) Chad D Giusti, University of Oregon (1056-55-611) (1056-91-1129) 9:00AM Identifying the Canonical Component for the 8:45AM Break. (116) Whitehead Link. Preliminary report. 9:00AM Two-player envy-free multi-cake division using a Emily R Landes,UniveristyofTexas,Austin  (101) polytopal Sperner’s lemma. (1056-54-2096) John Cloutier, University of California at Santa 9:15AM The Kauffman bracket skein module of T 3. Barbara, Kathryn L. Nyman*, Willamette University, (117) Jeffrey Boerner, University of Iowa (1056-57-1944) and , Harvey Mudd College Francis Edward Su 9:30AM The Moduli space of singular Euclidean structures (1056-91-1642) (118) on a sphere with 4 cone points whose cone angles 9:15AM Option pricing for biomedical firms with predictable are integer multiples of 2π but less than 2π. (102) Preliminary report. 3 price jumps. Preliminary report. , Risk Management Institute, Jin-Chuan Duan , Grand Valley State National University of Singapore, * Aldo-Hilario Cruz-Cota Anirban Dutta University (1056-54-1389) and Qiji J. Zhu, Western Michigan University (1056-91-1983) 9:45AM Lagrangian representations of the (p, q, r)- triangle (119) group. Preliminary report. 9:30AM Statistical Modeling of Gang Violence in Los Angeles. , University of Tennessee, Knoxville  (103) *, Harvey Mudd College, Paul W Lewis Kym C Louie Mike (1056-51-284) Egesdal, Jeremy Neuman, University of California, 10:00AM Los Angeles, and Chris Fathauer,HarveyMudd Relationships between Bundle Forms in Laguerre College (1056-91-1923)  (120) Planes. Robert D. Knight, Ohio University-Chillicothe (1056-51-574) AMS Session on Complex Analysis AMS Session on Discrete Mathematics, I 8:00 AM –9:55AM 8:00 AM –10:55AM 8:00AM Strong and Weak LFCDs: Local Fractional Complex  (104) Derivatives. Preliminary report. 8:00AM Combinatorial Proofs of Certain Identities. Steve M. Anglin, Case Western Reserve University  (121) Akalu Tefera*, Grand Valley State University, (fmr), Mountain View, CA (1056-30-23) Aklilu Zeleke, Michigan State University, and 8:15AM On Janowski starlike functions. George Grossman, Central Michigan University (105) Rosihan M. Ali, Universiti Sains Malaysia (1056-05-912) (1056-30-175) 8:15AM Playing with Paths: An Introduction to Bijective 8:30AM Subclasses of Meromorphic Functions Associated  (122) Combinatorics. (106) with Convolution. Paul W.T. Fijn, University of , Australia See Keong Lee, Universiti Sains Malaysia (1056-05-1424) (1056-30-514) 8:30AM Some Remarks On Self-Avoiding Walks. 8:45AM Lp Rational Approximation in the Complex Plane.  (123) Shanzhen Gao, Florida Atlantic University (107) Preliminary report. (1056-05-690) Erin R Militzer,UniversityofKentucky 8:45AM On the Non-existence of (160, 54, 18) Difference (1056-30-601) (124) Sets. 9:00AM On minimal Rolle’s domains for complex Adegoke S Osifodunrin*, Georgia Southern (108) polynomials. University, and Ken. W Smith, Sam Houston State Michael J Miller, Le Moyne College (1056-30-957) University (1056-05-1921) 9:15AM Poisson Equation with the Robin/Third Boundary 9:00AM Alternating Permutations and the mth Descents. (109) Condition.  (125) Ae Ja Yee and Kagan Kursungoz*, The Alip Alifu, Maimaiti Mohammed,YorkUniversity Pennsylvania State University (1056-05-628) (1056-30-2128) 9:15AM Break 9:30AM Mean Value Theorem for Functions on the Complex 9:30AM The lattice of finite partitions and its (110) Plane. Preliminary report.  (126) Mobius¨ function. Nasser Dastrange, Buena Vista University Fusun Akman*andPapa Amar Sissokho, Illinois (1056-26-1044) State University (1056-06-89) 9:45AM A residual radial limit zero set. 9:45AM Generating functions for box-counting problems. (111) Michael C Fulkerson,UniversityofCentral  (127) Benjamin J Young,CentredeRecherches Oklahoma (1056-32-1285) Mathematiques / McGill University (1056-05-1961)

JANUARY 2010 NOTICES OF THE AMS 119 Program of the Sessions – Wednesday, January 13 (cont’d.)

10:00AM Multi-restrained Stirling numbers. Preliminary 10:30AM On the theory of mixed convex functions. (128) report. (142) Emre Tokgoz,UniversityofOklahoma Ji Young Choi, Sippensburg University of PA (1056-Z1-402) (1056-05-1813) 10:45AM Some Nonlinear Delay Integral Inequalities On Time 10:15AM A map from chains in the noncrossing partition  (143) Scales. Preliminary report. (129) lattice to polygon dissections. Shiojenn Tseng*, Jen-Chienh Lo,Tamkang Hillary Einziger, The George Washington University University, and Wing-Sum Cheung,TheUniversity (1056-05-1950) of Hong Kong (1056-Z1-1516) 10:30AM Regular completions of lattices. (130) John Harding and Qin Yang*, New Mexico State MAA Session on The Scholarship of Teaching and University (1056-06-739) Learning in Undergraduate Mathematics, I 10:45AM How much does a Hamiltonian cycle weigh?  (131) Preliminary report. 8:00 AM –10:55AM , University of Wisconsin - Hurlee Gonchigdanzan Organizers: ,Universityof Stevens Point (1056-51-323) Edwin P. Herman Wisconsin - Stevens Point Nathan M. Wodarz,Universityof Wisconsin - Stevens Point MAA Session on General Contributed Papers, I 8:00AM Creating Student Centered, Active Learning (144) Classrooms in a Multi-Section Precalculus Course. 8:00 AM –10:55AM Paula A. Shorter*andMairead K. Greene, Rockhurst University (1056-Q1-2046) Organizers: Eric S. Marland, Appalachian State University 8:20AM Anatomy of a multi-section calculus semester: A  (145) students-eye view. Preliminary report. , Northern Kentucky Daniel J. Curtin Fabiana Cardetti*andP. Joseph McKenna, University University of Connecticut (1056-Q1-1594) 8:00AM Analysis of the secondary Flow effects on an open 8:40AM Calculus Acquisition through a Problem and Activity (132) channel with cross stream variation of the bottom  (146) Based Learning Experience (CAPABLE). Preliminary roughness. report. Ahmed Kaffel*, Virginia Tech, Amel Soualmia, Gary Fowler, Sommer Gentry*, Amy Ksir and LMHE, and Masbernat Lucien, imft (1056-Z1-1423) Will Traves, United States Naval Academy 8:15AM A Biexponential Model of Electroosmotic Flow. (1056-Q1-1773)  (133) Preliminary report. 9:00AM Peer Led Team Learning in Calculus I: A four-year Rachel R Roe-Dale*, Emese Lipcsey-Magyar  (147) study. and Kimberly Frederick, Skidmore College John C. Merkel, Morehouse College (1056-Z1-1422) (1056-Q1-2015) 8:30AM Building on Nature’s Inspiration: A NAKFI Synthetic 9:20AM Success in Calculus I: Oral Reviews.  (134) Biology Report. Preliminary report.  (148) Mary A Nelson*, University of Colorado, Boulder, Jeffrey L Poet, Missouri Western State University and Monica R Geist, Front Range Community (1056-Z1-1168) College (1056-Q1-648) 8:45AM Using Neural Networks for Near-Interpolation of 9:40AM Results of the use of guided notes and lab work in  (135) Scattered Data.  (149) introductory college courses. Laurene V Fausett,TexasA&M Ellen F Hill, Minnesota State University Moorhead University-Commerce (1056-Z1-260) (1056-Q1-1052) 9:00AM Chromatic Methods For Creating A Secure 10:00AM Student-Generated Note Cards: Sound Pedagogy?  (136) Identification Procurement.  (150) Preliminary report. Timothy Grant Hall, PQI Consulting (1056-Z1-418) Kenneth Horton,U.S.AirForceAcademy 9:15AM Foot to the Pedal: Generalizing Euler’s work on (1056-Q1-1695)  (137) constant pedal curves to constant pedal surfaces. 10:20AM A Modified Moore Method in Real Analysis: Hearing Preliminary report.  (151) the Students’ Voices. Preliminary report. Hieu D Nguyen, Rowan University (1056-Z1-653) Joy Moore*andBernd Rossa, Xavier University 9:30AM Turtles, and Lizards, and Snakes, Oh My! (1056-Q1-1629)  (138) Preliminary report. 10:40AM Teaching Abstract Algebra using Technology. Leon Brin, Southern CT State University (152) Preliminary report. (1056-Z1-879) Claus Schubert*andMary Gfeller,SUNYCortland 9:45AM Adapting the Feynman Path Integral for use in a (1056-Q1-342) (139) discrete . Douglas B Mathews*, Jake Askeland, Cheuk MAA Session on Improving a Second Course in Wong, Miranda Braselton, David Von Gunten, Statistics Jonathan Baptist, Duncan McElfresh and Slobodan Simic, San Jose State University 8:00 AM –10:55AM (1056-Z1-1670) Organizers: Nancy J. Boynton,SUNYFredonia 10:00AM Path elongation and r -reduced cutting numbers of (140) cycles. Patricia B. Humphrey,Georgia Brad Bailey*andDianna J. Spence, North Georgia Southern University College & State University (1056-Z1-735) Michael A. Posner, Villanova University 10:15AM Arcs in the plane. 8:00AM Teaching Undergraduate Statistics in R. Preliminary  (141) Joan E Hart*, University of Wisconsin Oshkosh, and  (153) report. Kenneth Kunen, University of Wisconsin – Madison Salil Kumar Das, Prince Georges’ Community (1056-Z1-52) College (1056-F5-1919)

120 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

8:20AM Interdisciplinary Case Studies for an Intermediate MAA Session on Mathematical Texts: Famous,  (154) Statistics Course. Infamous, and Influential, I Terje Hoim, Wilkes Honors College, Florida Atlantic University (1056-F5-1447) 8:55 AM –10:55AM 8:40AM Finding and Working with Real-World Clients in a Organizers: Fernando Q. Gouvˆea, Colby College (155) Second Statistics Course. , Beloit College Cora Neal, Sonoma State University (1056-F5-437) Amy Shell-Gellasch 8:55AM Welcome. 9:00AM Experiential Learning of Non-parametric Statistics (156) through a campus-client led survey project. 9:00AM Geometry and Algebra in Ancient Civilizations by K. Scott Alberts, Truman State University  (168) B. L. van der Waerden: A Text Exploring the Origin (1056-F5-617) and Development of Ancient Mathematics. , SUNY Oneonta (1056-H1-1420) 9:20AM Some More Lab Experiences in Introductory Toke L Knudsen (157) Statistics. 9:20AM The Elements, its evil influence. Preliminary report. Patricia B Humphrey, Georgia Southern University  (169) Alejandro R. Garciadiego, Universidad Nacional (1056-F5-1294) Autonoma´ de M´exico (UNAM) (1056-H1-836) 9:40AM A Second Course for Non-Majors – Relevance is the 9:40AM Rip-off or Reverence? Hypsicles of and  (158) Key! (170) the fourteenth book of the Euclid’s Elements. Murray H Siegel, Arizona State University, Clemency J Montelle, University of Canterbury Polytechnic (1056-F5-264) (1056-H1-1140) 10:00AM Stat2 - What Should We Do? Preliminary report. 10:00AM Conjugate Diameters: Apollonius of Perga and  (159) Robin H Lock, St. Lawrence University  (171) Eutocius of Ascalon. Preliminary report. (1056-F5-2031) Colin Bryan Powell McKinney,UniversityofIowa (1056-H1-580) 10:20AM An Innovative Second Half-Course in Applied (160) Statistics. 10:20AM Newton’s Principia : What is in it and why should we John D McKenzie, Babson College (1056-F5-1904)  (172) care? Herbert E Kasube, Bradley University 10:40AM A Successful Second Course in Business Statistics.  (161) Preliminary report. (1056-H1-818) Sue B Schou, Idaho State University (1056-F5-552) 10:40AM Eric Temple Bell’s :From  (173) Influential to Infamous. V. Frederick Rickey, West Point (1056-H1-1323) Employment Center MAA Minicourse #13: Part A 8:00 AM –7:00PM 9:00 AM – 11:00 AM SIAM Minisymposium on Economics and Sustainability Taking symbols seriously: Teaching form and function in college algebra. 8:05 AM – 11:00 AM Organizers: William G. McCallum,Universityof Arizona Organizer: Christian Traeger,Universityof California, Berkeley Deborah Hughes Hallett,Universityof Arizona and Harvard University 8:05AM Preferences Yielding the Precautionary Effect. Pat Shure, University of Michigan (162) Michel De Lara,Universit´e Paris-Est (1056-91-1065) 8:30AM Mathematical Analysis of Smart Grids Using  (163) Randomized Algorithms. MAA Minicourse #4: Part A Kourosh Modarresi, Stanford University (1056-90-2067) 9:00 AM – 11:00 AM 8:55AM Exact Calibration of Programming Models of Using video-case studies in teaching a proof-based (164) Agricultural Supply against Exogenous Sets of gateway course to the mathematics major. Supply Elasticities. Organizers: James T. Sandefur, Georgetown Pierre R. Merel*andSantiago Bucaram, University Agricultural and Resource Economics, University of , Millsaps College California, Davis (1056-90-1181) Connie M. Campbell Kay B. Somers, Moravian College 9:20AM Break. 9:35AM Closing the gap between risk estimation and MAA Minicourse #7: Part A  (165) decision-making: efficient management of trade-related invasive species risk. Preliminary 9:00 AM – 11:00 AM report. Michael R Springborn*, University of California, Teaching with clickers in the classroom. Davis, and ,UniversityofTexas,Austin Robert Lieli Organizers: Derek Bruff, Vanderbilt University (1056-91-1274) Adam Lucas, Saint Mary’s College of 10:00AM Time perspective and climate change policy. California (166) Larry S Karp*, Agricultural and Resource Economics, University of California, Berkleley, and Yacov Tsur, Hebrew University (1056-91-1196) MAA Session on My Most Successful Math Club 10:25AM Risk, Uncertainty and Climate Change Evaluation. Activity (167) Preliminary report. Christian P Traeger,UCBerkeley(ARE) 9:00 AM –10:35AM (1056-91-2030) Organizers: Jacqueline A. Jensen,SamHouston 10:50AM Final discussion. State University

JANUARY 2010 NOTICES OF THE AMS 121 Program of the Sessions – Wednesday, January 13 (cont’d.)

Deanna B. Haunsperger,Carlton 10:30AM Leavitt Algebras and Categories of Modules for College (181) Nonunital Rings. Preliminary report. Robert W. Vallin, Slippery Rock Leandro Marin, Universidad de Murcia (Spain) University and the MAA (1056-18-1036) 9:00AM The most engaging activity in 10:45AM The First of the Three Homotopy Exact Sequences of  (174) Mathematics/Computer Science Club. Preliminary (182) a Fibration in Module Theory. report. C. Joanna Su, Providence College (1056-18-1937) Ryo Ohashi, King’s College (1056-K5-1587) 9:20AM Lawrence Tech’s best Math Club events. AMS Invited Address  (175) Ruth Favro, Lawrence Technological University (1056-K5-684) 10:05 AM –10:55AM 9:40AM A Revamped Problem-Solving Competition. (183) Chaos and symmetry in partially hyperbolic  (176) Preliminary report. systems. Pamela A Richardson*andNatacha C Amie Wilkinson,NorthwesternUniversity Fontes-Merz, Westminster College (1056-K5-639) (1056-37-8) 10:00AM Digital Scavenger Hunts.  (177) Tom Thompson, Walla Walla University (1056-K5-455) AMS Session on Matrices and Tensors

10:20AM Math Extravaganza! 10:15 AM –10:55AM  (178) Tracii Friedman, Mesa State College (1056-K5-1627) 10:15AM On Constructibility Results for a Class of (184) Non-Selfadjoint Analytic Perturbations of Matrices with Degenerate Eigenvalues. Student Hospitality Center Aaron Welters, UCI (1056-15-1076) 10:30AM Factorization Strategies for Tensors. 9:00 AM –5:00PM (185) Misha Kilmer, Tufts University, and Carla D Martin*, James Madison University (1056-15-2082) MAA CUPM Subcommittee on Mathematics Across the 10:45AM Spectrally arbitrary patterns of matrices over finite Disciplines Panel Discussion (186) fields. Elizabeth J. Bodine*andJudith J. McDonald, 9:00 AM –10:20AM Washington State University (1056-15-935) Mathematical collaborations with other disciplines: Research partnerships and interdisciplinary AMS-MAA Invited Address programs. 11:10 AM – NOON Organizer: Joseph Malkevitch, York College (CUNY)  (187) The interpolation problem. Panelists: Steven Brams, New York University Joseph Harris, Harvard University (1056-14-41) Susan L. Ganter, Clemson University James G. Glimm, SUNY at Stony Brook Exhibits and Book Sales Suzanne M. Lenhart,Universityof 12:15 PM –5:30PM Tennessee Come to the Grand Opening at 12:15! MAA Panel Discussion AMS Colloquium Lectures: Lecture I 9:00 AM –10:20AM 1:00 PM –2:00PM National Science Foundation’s programs supporting learning and teaching in the mathematical sciences. (188) Increasing and decreasing subsequences. Richard P. Stanley, M.I.T. (1056-05-16) Organizers: Henry Warchall,NSF/DMS Karen A. Marrongelle,NSF/DRL MAA Invited Address Dennis E. Davenport,NSF/DUE Daniel P. Maki,NSF/DUE 2:15 PM –3:05PM Lee L. Zia,NSF/DUE (189) The real computation controversy: Is it real? Lenore Blum, Carnegie Mellon University MAA Department Liaisons Meeting (1056-A0-4)

9:30 AM – 11:00 AM AMS-SIAM Special Session on Mathematics of Computation, II AMS Session on Category Theory 2:15 PM –6:05PM 10:00 AM –10:55AM Organizers: Susanne Brenner, Louisiana State 10:00AM A finiteness property for braided fusion categories. University (179) Deepak Naidu*andEric Rowell,TexasA&M Chi-Wang Shu,BrownUniversity University (1056-18-316) 2:15PM Bayesian Scientific Computing. 10:15AM Blocks in Deligne’s Rep(St).  (190) Daniela Calvetti*andErkki J. Somersalo,Case (180) Jonny Comes, University of Oregon (1056-18-983) Westen Reserve University (1056-65-2138)

122 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

2:45PM Global Minimization of Markov Random Fields with 2:45PM Complex Dynamics and Symbolic Dynamics.  (191) Applications to Optical Flow. (204) Elizabeth D Russell, United States Military Tom Goldstein*, Xavier Bresson and Stanley Academy (1056-37-1039) , UCLA (1056-49-1648) Osher 3:15PM Competition Models with Allee effects. Preliminary 3:15PM Evaluating expectations of functionals of Brownian  (205) report. (192) motions: a multilevel idea. N Saber Elaydi, Trinity University (1056-39-1017) *, , Illinois Institute of Ben Niu Fred Hickernell 3:45PM Stability and complexity of small random systems Technology, ,Universit¨at Thomas Muller-Gronbach¨ (206) of stochastic linear difference equations. Passau, and , Technische Universit¨at Klaus Ritter Harold M Hastings*, Michael Bantegui, Michael Darmstadt (1056-65-453) Palmer and Thomas Savino, Hofstra University 3:45PM A Dual Iterative Substructuring Method with a (1056-39-1070)  (193) Penalty Term in Three Dimensions. 4:15PM The Dynamics of the Periodically Forced Sigmoid Eun-Hee Park*, Louisiana State University, and  (207) Preliminary report. , KAIST (1056-65-616) Beverton-Holt Model, part I. Chang-Ock Lee April Harry, Xavier University of Louisiana, 4:15PM A higher order WENO algorithm to solve radiative Candace M Kent, Virginia Commonwealth  (194) transfer of photons in the ‘early universe’. University, and Vlajko L Kocic*, Xavier University of Ishani Roy*, Brown University, Wen Xu,University Louisiana (1056-39-916) of Arizona, Jing-Mei Qiu, Colorado School of Mines, 4:45PM ,BrownUniversity,and , The Dynamics of the Periodically Forced Sigmoid Chi-Wang Shu Li-Zhi Fang (208) Preliminary report. University of Arizona (1056-65-691) Beverton-Holt Model, part II. April Harry, Xavier University of Louisiana, 4:45PM Simulation of Surfactant Dynamics using Spectral Candace M Kent*, Virginia Commonwealth (195) Method. Preliminary report. University, and Vlajko L Kocic, Xavier University of Yuen Yick Kwan, Tulane University (1056-65-1963) Louisiana (1056-39-917) 5:15PM The Multiscale Discontinuous Galerkin Method for 5:15PM The Aging Heart and the Loss of Complexity—a (196) Solving a Class of Second Order Elliptic Problems  (209) Difference Equation Model. Preliminary report. with Rough Coefficients. Tamara Eugenia Awerbuch-Friedlander*and *, Center for Turbulence Research, Wei Wang Richard Levins, Harvard School of Public Health Stanford University, Johnny Guzm´an and Chi-Wang (1056-39-2059) Shu, Brown University (1056-65-1623) 5:45PM A difference equation model to measure the length 5:45PM Efficient High-Order Methods Using Bandlimited  (210) (197) of Latency of HSV1 infections in differential cells. Basis Functions. Youssef M Dib*andMariette Maroun,University Li-Lian Wang, Nanyang Technological University of Louisiana, Monroe (1056-39-1846) (1056-65-1507)

AMS-ASL Special Session on Surreal Numbers, II

2:15 PM –6:05PM AMS Special Session on Geometric Aspects of Link Organizers: LouvandenDries,Universityof and 3-manifold Invariants, I Illinois 2:15 PM –6:05PM Philip Ehrlich, Ohio University 2:15PM Transseries, a survey. Organizers: Oliver Dasbach, Louisiana State  (198) Joris van der Hoeven, University of Paris-Sud, University (1056-06-612) Effie Kalfagianni, Michigan State 3:15PM The exponential logarithmic power series fields. University (199) Salma Kuhlmann*, Universitaet Konstanz, and 2:15PM Heegaard genus, cut number, weak p-congruence, Saharon Shelah, Hebrew University (1056-06-1940) (211) and quantum invariants. 4:15PM Surreal numbers as transseries. Patrick M Gilmer, Louisiana State Univiersity (200) Joris van der Hoeven, University of Paris-Sud, (1056-57-619) and *, Salma Kuhlmann Micka¨el Matusinski 2:45PM A dimer model for the twisted Alexander University of Konstanz (1056-06-594) (212) polynomial. 5:15PM Generalized power series and real closed fields, Moshe Cohen, Oliver Dasbach and Heather M. (201) Part I. Russell*, Louisiana State University (1056-57-1827) and *, University of Notre Julia Knight Karen Lange 3:15PM Graph-based methods establishing nontriviality of Dame (1056-03-678) (213) state cycle Khovanov homology classes. 5:45PM Generalized power series and real closed fields: Andrew Elliott, Rice University (1056-57-47)  (202) Part II. 3:45PM On Khovanov homology and Heegaard Floer Julia F. Knight*andKaren Lange,Universityof (214) Notre Dame (1056-03-649) homology. J. Elisenda Grigsby*, Boston College, and Stephan M. Wehrli, Institut de Mathematiques de Jussieu; AMS Special Session on Difference Equations and Universite Paris 7 (1056-51-1342) Applications, II 4:15PM Topologically slice knots with non-trivial Alexander (215) polynomial. 2:15 PM –6:05PM Matthew E Hedden*, Michigan State University, Organizer: Michael Radin, Rochester Institute of Charles Livingston, Indiana University, and Daniel Technology Ruberman, Brandeis University (1056-57-1085) 2:15PM Global Behavior of Solutions to a Planar System of 4:45PM Walks Along Braids and the Colored Jones (203) First-Order Rational Difference Equations. (216) Polynomial. Preliminary report. Sukanya Basu, Midwestern State University Cody Armond, Louisiana State University (1056-39-764) (1056-57-1329)

JANUARY 2010 NOTICES OF THE AMS 123 Program of the Sessions – Wednesday, January 13 (cont’d.)

5:15PM On Jones polynomials of closed braids with a full 3:15PM Inverse transport theory and optical tomography (217) twist. Preliminary report. (227) for media with varying index of refraction. Abhijit Champanerkar*andIlya Kofman, College Stephen McDowall, Western Washington University of Staten Island, CUNY (1056-57-1373) (1056-35-902) 5:45PM Ribbon-graph tensor products, relative polynomial 3:45PM Inverse Spectral Problems for Analytic Domains in (218) invariants and applications to links. Preliminary (228) Rn. report. Hamid Hezari*, MIT, and Steve Zelditch, Johns Neal W. Stoltzfus*, Louisiana State University, Hopkins University (1056-35-1009) and Brittan Farmer, University of Michigan 4:15PM A Multilevel, Modified Regularized Total Least Norm (1056-57-1436) (229) Approach to Signal Deblurring. Malena Espanol*, California Institute of Technology, and Misha Kilmer, Tufts University AMS Special Session on Harmonic Analysis (1056-65-1021) (Mathematics Research Communities session), II 4:45PM On a minimization problem for conductivity (230) 2:15 PM –5:05PM imaging. Alexandru Tamasan, University of Central Florida Organizers: Kabe Moen, Washington University (1056-49-938) Richard Oberlin,Universityof 5:15PM Inverse diffusion with internal measurements. California Los Angeles (231) Guillaume Bal, Columbia University Betsy Stovall, University of California (1056-35-1970) Los Angeles 2:15PM Regularization for Slightly Super Critical Surface AMS Special Session on the Mathematical Challenges (219) Quasi-geostrophic Equation. of Relativity (Mathematics Research Communities Michael Dabkowski, University of Wisconsin session), II (1056-42-1651) 2:45PM Sobolev space estimates for a class of bilinear 2:15 PM –5:05PM (220) pseudodifferential operators unbounded on Organizers: Paul T. Allen, Lewis & Clark College Lebesgue spaces. , M.I.T. and Monash , CNRS & Universite Lille 1, Michael Eichmair Frederic Bernicot University Laboratoire de Mathematiques Paul Painleve, France, and Rodolfo H. Torres*, University of Gustav Holzegel, Princeton University Kansas (1056-42-953) Jared Speck, Princeton University 3:15PM Sobolev Inequalities for (0,q) forms on CR Willie W. Wong,Universityof (221) manifolds of finite type. Cambridge Po Lam Yung, Princeton University (1056-42-291) 2:15PM Hypersurfaces in Hyperbolic Poincar´e Manifolds 3:45PM Multi-linear integrals associated to sparse subsets (232) and Conformally Invariant PDEs. (222) of R. Vincent Bonini*, California Polytechnic State Izabella Laba and Malabika Pramanik*, University University, Jie Qing, University of California, Santa of British Columbia, Vancouver (1056-42-1003) Cruz, and Jose Espinar, Universidad de Granada (1056-53-1316) 4:15PM Pointwise Divergence of L1 Ergodic Averages Along (223) the Nth Powers. 2:45PM Global geometry of T 2 symmetric with Patrick R. LaVictoire, UC Berkeley (1056-37-1257) (233) weak regularity. *, Max-Planck-Institute for 4:45PM Upper Bounds for Multilinear Sublevel Sets. Jacques Smulevici (224) Michael Christ, University of California, Berkeley Gravitational Physics, and Philippe G. LeFloch, (1056-42-1513) Laboratoire Jacques-Louis and CNRS (1056-83-1198) 3:15PM On Hamilton’s Ricci flow and Bartnik’s construction AMS Special Session on Inverse Problems: Analysis (234) of metrics of prescribed scalar curvature. and Computations (Mathematics Research Chen-Yun Lin, Columbia University (1056-83-349) Communities session), II 3:45PM Optimization problems within a harmonic (235) conformal class. 2:15 PM –5:35PM Jeffrey L Jauregui, Duke University (1056-53-366) Organizers: Gaik Ambartsoumian,Universityof 4:15PM A gluing construction regarding point particles in Texas at Arlington (236) general relativity. Preliminary report. , Lewis and Clark College (1056-83-694) Raluca Felea, Rochester Institute of Iva Stavrov Technology 4:45PM A Model Problem for Conformal Parameterizations (237) Hongyu Liu, University of Washington of the Einstein Constraint Equations. , University of Alaska Fairbanks , University of Texas at Austin David Maxwell Kui Ren (1056-35-663) Michael VanValkenburgh,University of California Berkeley AMS Special Session on Algebraic Aspects of 2:15PM Reconstruction of the Stefan-Boltzmann coefficients Cryptology, II (225) in the heat transfer process. Jin Cheng*, Fudan University, Shanghai, China, 2:15 PM –5:35PM Shuai Lu, Johann Radon Institute for Computational and Applied Mathematics, Austria, and Masahiro Organizers: Jintai Ding, University of Cincinnati Yamamoto, University of Tokyo (1056-35-550) Chris Christensen, Northern Kentucky 2:45PM Imaging from Bistatic and Multiply Scattered Waves. 2:15PM Solving multivariate polynomial equations over (226) Clifford J Nolan*andThomas Dowling,University  (238) finite fields. Preliminary report. of Limerick (1056-42-1526) Ding Jintai, University of Cincinnati (1056-12-1621)

124 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

3:15PM Growth of the ideal generated by a quadratic 4:45PM Double Hurwitz numbers as splines. Preliminary (239) Boolean function. Preliminary report.  (250) report. Jintai Ding, Timothy J Hodges*andVictoria Federico Ardila, San Francisco State University Kruglov, University of Cincinnati (1056-13-1539) (1056-05-1856) 3:45PM MutantXL: An Efficient Algorithm for Solving 5:15PM Power Ideals. (240) Multivariate Polynomial Equations. (251) Alexander Postnikov*, MIT, and Federico Ardila, Johannes Buchmann, TU Darmstadt, Jintai Ding, SFSU (1056-05-1785) University of Cincinnati, Mohamed Saied Emam Mohamed*, Wael Said Abd Elmageed Mohamed, AMS Special Session on Applications of Graph TU Darmstadt, and Daniel Cabarcas,Universityof Theory, II Cincinnati (1056-14-477) 4:15PM New Algorithm for Computing Grobner bases. 2:15 PM –6:05PM (241) Shuhong Gao*andYinhua Guan,Clemson University (1056-13-1705) Organizers: Richard Low, San Jose State University , Naval Postgraduate 4:45PM Analysis of a Multivariate Internal Perturbation Ralucca M. Gera School (242) Scheme. Lei Hu, Graudate School of Chinese Academy of 2:15PM An Effective Upperbound on Treewidth Using Partial Sciences (1056-94-1122) (252) Fill-in of Separators. *, Caesarea Rothschild 5:15PM A Signature Scheme over Non-commutative Groups Martin Charles Golumbic Institute and Department of Computer Science,  (243) Secure Against Existential Forgery. Preliminary report. University of Haifa, and Boi Faltings,Artificial Intelligence Laboratory (LIA), Ecole Polytechnique Yesem Kurt-Peker, Randolph College (1056-94-1566) F´ed´erale de Lausanne (EPFL) (1056-05-576) 2:45PM A new proof of the four-color theorem.  (253) John Paul Steinberger, Tsinghua University, Beijing AMS Special Session on Markov Chains and Their (1056-05-253) Statistical Applications (Mathematics Research 3:15PM On Graham’s Tree Reconstruction Conjecture. Communities session), II (254) Bill Kay*andJoshua Cooper,UniversityofSouth Carolina (1056-05-326)

2:15 PM –4:55PM 3:45PM Non-existence of circulant expander family.  (255) Preliminary report. Organizers: James Flegal, University of California Wasin So, San Jose State University (1056-05-313) Riverside 4:15PM Detecting a Machine Failure in a Network: Vertex Radu Herbei, Ohio State University  (256) Identifying Codes. Jessica Zuniga, Stanford University Daniel W Cranston*, Virginia Commonwealth University, and , College of William & Mary 2:15PM Hitting-time Distributions for Markov Chains. Gexin Yu (244) Preliminary report. (1056-05-281) James Allen Fill, The Johns Hopkins University 4:45PM Best Monotone Degree Conditions for the Integrity (1056-60-1746) (257) and Tenacity of Graphs. , Research Fellow/Stevens 3:15PM Evaluation of Formal posterior distributions via Michael Robert Yatauro Institute of Technology (1056-00-1674) (245) Markov chain arguments. Galin Jones, University of Minnesota 5:15PM Toughness and Degree Sequence Conditions. (1056-62-1158) (258) Preliminary report. *, Seton Hall University, 4:15PM Finding Sparse Cuts Locally Using Evolving Sets. Nathan Kahl Douglas , Stevens Institute of Technology, (246) Reid Andersen,Microsoft,andYuval Peres*, Bauer Hajo Microsoft Research (1056-60-1993) Broersma, Durham University, Ed Schmeichel,San Jose State University, and Jan van den Heuvel, London School of Economics (1056-05-760) AMS Special Session on Zonotopal Algebra and Its 5:45PM The L(2, 1) channel-assignment problem on trees. (259) Preliminary report. Applications, II Patrick Bahls, University of North Carolina, Asheville (1056-05-60) 2:15 PM –5:55PM Organizers: Olga Holtz, University of California AMSSpecialSessiononArithmeticand Berkeley and Technical University Nonarchimedean Dynamics, II Berlin Amos Ron, University of Wisconsin 2:15 PM –6:05PM 2:15PM Jump formulae for Multiple Bernoulli polynomials Organizers: Joseph Silverman,BrownUniversity (247) Preliminary report. and Verlinde sums. , University of Hawaii Michele Vergne, Paris, France (1056-52-886) Michelle Manes , College of the Holy 3:15PM Raphael Jones Hierarchical zonotopal spaces. Cross (248) Olga Holtz, University of California-Berkeley, Technische Universitaet Berlin, Institute for 2:15PM Multipliers of periodic cycles for cubic polynomials. Advanced Study, Amos Ron*, University of (260) Patrick Ingram, University of Waterloo Wisconsin-Madison, and Zhiqiang Xu, Chinese (1056-37-669) Academy of Sciences (1056-13-1949) 2:45PM Local and global canonical height functions for 4:15PM Multiparking Functions, Graph Search, and Tutte (261) affine space regular automorphisms. (249) Polynomial. Shu Kawaguchi, Osaka University (1056-11-973) Catherine Yan*andDimitrije Kostic,TexasA&M 3:15PM Rationality of the Space of Morphisms on P1. University (1056-05-674) (262) Alon Levy, Columbia University (1056-37-565)

JANUARY 2010 NOTICES OF THE AMS 125 Program of the Sessions – Wednesday, January 13 (cont’d.)

3:45PM Torsion points of higher order in the Nottingham Guram Bezhanishvili,NewMexico (263) group. Preliminary report. State University Jonathan Lubin, Brown University (1056-11-361) David Pengelley,NewMexicoState 4:15PM A Dynamical Pairing Between Two Rational Maps. University (264) Clayton Petsche*, Hunter College, Lucien Szpiro, CUNY Graduate Center, and Thomas J. Tucker, MAA Minicourse #6: Part A University of Rochester (1056-11-555) 4:45PM A Local-Global Criterion for Dynamics on P1. 2:15 PM –4:15PM (265) Joseph H. Silverman,BrownUniversity,andJ. Developing departmental self-studies. Felipe Voloch*, University of Texas at Austin (1056-11-154) Organizers: Donna L. Beers, Simmons College 5:15PM On dynamical zeta functions for polynomial maps Nancy Baxter Hastings,Dickinson (266) over p-adic fields. Preliminary report. College Liang-Chung Hsia, National Central University, Taiwan (1056-11-568) AMS Session on Group Theory, II 5:45PM On the Number of Rational Pre-Images Under  (267) Quadratic Dynamical Systems. 2:15 PM –5:55PM , Amherst College (1056-11-575) Benjamin Hutz 2:15PM Complete Groups: The Automorphism Tower and (275) Some Characterizations. MAA Invited Paper Session on Online Delivery of Elizabeth Wilcox, Binghamton University Mathematics (1056-20-733) 2:30PM Representations of the Iwahori-Hecke algebra of the 2:15 PM –5:35PM  (276) symmetric group. , Lehigh University Organizer: Bernd S. W. Schroeder, Louisiana Tech Charles E Buehrle University (1056-20-1061) 2:45PM 2:15PM On-Line Delivery of Differential Equations: (How) On the nonabelian tensor product of finite groups (277) Preliminary report.  (268) Does It Work? of relatively prime order. and *, Bernd S. W. Schroeder, Louisiana Tech University Luise-Charlotte Kappe Viji Thomas (1056-BD-248) Binghamton University (1056-20-1265) 3:00PM Z Preliminary report. 2:45PM Electronic Study Guide – Maplets for Calculus. On -Structures of Groups. (278) , University of Wisconsin -  (269) Philip B Yasskin*, Texas A&M University, and Carrie Jean Tirel Milwaukee (1056-20-1376) Douglas B Meade, University of South Carolina (1056-BD-1115) 3:15PM Some Coxeter groups of CAT(0) dimension three. (279) , University of Texas at Austin 3:15PM Successful on-line Math course: myth or reality? Cody L Patterson (1056-20-1381)  (270) Larissa Williamson, University of Florida (1056-BD-270) 3:30PM Break. 3:45PM Online Delivery and the Use of Technology in the 3:45PM Central Extensions of Divisible Groups. (271) Classroom. (280) Jason Elliot, University of Illinois at Michael Speed*andSimon Sheather,TexasA&M Urbana-Champaign (1056-20-1461) University College Station (1056-BD-96) 4:00PM Stable Commutator Length in Braid Groups. 4:15PM Computational Discrete Mathematics: Computation (281) Preliminary report. (272) versus Bourbaki. Joel Louwsma, California Institute of Technology Klaus Sutner, Computer Science Department, (1056-20-1483) Carnegie Mellon University (1056-BD-1252) 4:15PM Enumerating Nilpotent Loops. 4:45PM WeBWorK: Open source on-line homework system (282) Daniel A Daly*, Southeast Missouri State  (273) for mathematics. University, and Petr Vojtechovsky,Universityof Michael E. Gage, University of Rochester Denver (1056-20-1598) (1056-BD-584) 4:30PM The free metabelian product of a free nilpotent 5:15PM Evidence Based Course Design – The Open Learning (283) group with a free abelian group.  (274) Initiative at Carnegie Mellon. Margaret H. Dean, Borough of Manhattan Candace M Thille, Carnegie Mellon University Community College of CUNY (1056-20-1655) (1056-BD-1824) 4:45PM Localization and extraction of roots in nilpotent (284) R-powered groups. Preliminary report. MAA Minicourse #11: Part A Marcos Zyman*, Borough of Manhattan Community College, CUNY, and Stephen Majewicz, 2:15 PM –4:15PM Kingsborough Community College, CUNY (1056-20-1659) The mathematics of Islam and its use in the 5:00PM Break. teaching of mathematics. 5:15PM Organizer: Victor J. Katz, University of the District An introduction to the Bieri-Neumann-Strebel of Columbia (285) Invariant for finitely generated groups. Keith Michael Jones, Binghamton University (SUNY) (1056-20-1740) MAA Minicourse #12: Part A 5:30PM On Some Conjectures Concerning Groups With  (286) Preliminary report. 2:15 PM –4:15PM Perfect Order Subsets. Lenny Jones and Kelly Toppin*, Shippensburg Learning discrete mathematics via historical University (1056-20-1782) projects. 5:45PM Computing the Projective Indecomposable Modules Organizers: Jerry M. Lodder,NewMexicoState (287) of large Finite Groups. University Selin Kalaycioglu, Kenyon College (1056-20-2114)

126 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

AMS Session on Probability and Statistics, II 2:45PM A Characterization Of the Finite Affine Translation  (303) Planes Of Odd Order. Preliminary report. 2:15 PM –5:55PM Ricardo Enrique Rojas, Northern State University (1056-51-1305) 2:15PM The Density Function of the First Occurrence of a 3:00PM (288) Binary Pattern. A proof of the Kauffman–Harary Conjecture. (304) *, California State University, Michael J.J. Barry, Allegheny College (1056-60-785) Thomas W Mattman Chico, and Pablo Solis, UC, Berkeley (1056-57-358) 2:30PM Central Limit Theorems for Hilbert-space Valued 3:15PM (289) Random Fields Satisfying a Strong Mixing Condition. Representations of arrangement groups.  (305) , Louisiana State University, Cristina Tone, Indiana University (1056-60-981) Daniel C. Cohen Michael J. Falk*, Northern Arizona University, and 2:45PM A method for finding exact site percolation critical Richard Randell, University of Iowa (1056-57-556) (290) thresholds for a class of lattices. Preliminary report. 3:30PM Break Matthew R. A. Sedlock*andJohn C. Wierman, Johns Hopkins University (1056-60-1080) 3:45PM Rigidity of Hyperbolic . (306) , Saint Louis University 3:00PM On Dynamic Scheduling of a Parallel Server System Philip C Huling (1056-57-615) (291) with Certain Graph Structure. Preliminary report. Vladimir Pesic*andRuth Williams,UCSD 4:00PM Alpha-Sloped Thin Position for 3-manifolds. (1056-60-1367) (307) Marion Moore, UC Davis (1056-57-918) 3:15PM Asymptotic behavior of the finite-size magnetization 4:15PM A dictionary for defining key concepts in plasma (292) as a function of the speed of approach to criticality.  (308) PhysicsintermsofClebschchartsincontact Richard S Ellis, Jonathan Machta,Universityof geometry. Preliminary report. Massachusetts, Amherst, and Peter T Otto*, P. Robert Kotiuga, Boston University, ECE Dept. Willamette University (1056-60-1379) (1056-57-1313) 3:30PM Break 4:30PM New twisted dimer model for the twisted Alexander  (309) Preliminary report. 3:45PM Two related integrals over spaces of continuous polynomial. *, and (293) functions, revisited. Preliminary report. Moshe Cohen Oliver Dasbach Heather M. , Louisiana State University (1056-57-1573) Ian Pierce, University of Nebraska - Lincoln Russell (1056-60-1744) 4:45PM Fundamental Groups of Solenoid Complements. (310) *, ,Brigham 4:00PM Phases in the Mixing of Gases via the Ehrenfest Urn Mark H. Meilstrup Gregory Conner Young University, and ,Universityof  (294) Model. Dusan Repovs Ljubljana (1056-57-1652) Srinivasan Balaji*andHosam M Mahmoud, George Washington University (1056-60-1920) 5:00PM Break 4:15PM Further results on statistical significance of ranking 5:15PM The Structure of Combinatorial Geodesics in (295) paradoxes. Preliminary report. (311) CAT(0) Simplicial 3-Complexes. Anna E. Bargagliotti, University of Memphis, and Rena M. H. Levitt, Pomona College (1056-57-1875) Raymond N. Greenwell*, Hofstra University 5:30PM Shifts on compact metric o-dimensional spaces. (1056-62-59)  (312) Preliminary report. 4:30PM Statistical Inference for Computer Models with Rajagopalan Minakshisundaram, Tennessee State  (296) Multidimensional Output. Preliminary report. University (1056-54-1264) Dorin Drignei, Oakland University (1056-62-329) 5:45PM Generalizations to Coarse Geometry. Preliminary 4:45PM The Use of Skew-Normal Distribution for (313) report. (297) Dose-Response Modeling in Toxicological Jared R. Bunn, University of Tennessee Experiments. (1056-51-275) Mehdi Razzaghi, Bloomsburg University (1056-62-521) AMS Session on Discrete Mathematics, II 5:00PM Break

5:15PM Graph ranking on gene network. 2:15 PM –5:40PM (298) Cuilan Gao*, Xin Dang, Yixin Chen and Dawn Wilkins, University of Mississippi (1056-62-711) 2:15PM The Strength of the Gratzer-Schmidt¨ Theorem.  (314) Paul Steven Brodhead*, Virginia State University, 5:30PM Estimation of the Convolution of Distributions and , University of Hawaii at  (299) Bjørn Kjos-Hanssen Under Different Censoring Models of Survival Data. Manoa (1056-06-768) Ke Wu, California State University, Fresno (1056-62-738) 2:30PM Results on the Order Between Orbits in the (315) 5:45PM Conjugacy Decomposition of a Canonical Monoid. Improving an existing estimator of the unknown Preliminary report. (300) input function. , North Carolina State University *, Millikin University, and Ryan K Therkelsen Eun-Joo Lee Frits (1056-06-1000) Ruymgaart, Texas Tech University (1056-62-931) 2:45PM A gap theorem for the poset of sequential degrees.  (316) Preliminary report. AMS Session on Geometry and Topology, II Benjamin Wells, University of San Francisco (1056-06-1283) 2:15 PM –5:55PM 3:00PM The Toothpick Sequence and Other Sequences from 2:15PM Another look at Euler’s parallel oblique-angled  (317) Cellular Automata. Preliminary report. (301) diameters. Neil J. A. Sloane, AT&T Shannon Labs Thomas J Osler, Rowan University (1056-51-863) (1056-05-230) 2:30PM Translation planes admitting a linear Abelian group 3:15PM Symmetry and Log-Concavity Results for the Fibmaj (302) of order (q +1)2. (318) Statistic. Preliminary report. Oscar E Vega*, California State University, Fresno., Kendra Killpatrick, Pepperdine University and Esteban M Diaz, University of Connecticut (1056-05-428) (1056-51-1119) 3:30PM Break

JANUARY 2010 NOTICES OF THE AMS 127 Program of the Sessions – Wednesday, January 13 (cont’d.)

3:45PM Lower Bounds for Balanced Simplicial Complexes. 4:30PM An Action Research Proposal: Does the Ability to  (319) Steven Klee, University of Washington  (335) Purchase a Week’s Worth of Groceries for under (1056-05-467) One Dollar Influence the Chance that a Student will 4:00PM Packing Degree Sequences. Preliminary report. make an ”Innumeracy Type” Statistical Error?  (320) Tyler Seacrest, University of Nebraska – Lincoln Preliminary report. (1056-05-506) Larry Wayne Lewis, Spalding University (1056-Z1-1605) 4:15PM Thin Lehman Matrices and Their Graphs. (321) Jonathan Wang, Harvard University (1056-05-533) 4:45PM Using Proofs without Words to Explore Rules of (336) Differentiation. 4:30PM Break Tom McMillan and Jim Fulmer*, University of 4:45PM Extremal 2-supereulerian graphs. Preliminary Arkansas at Little Rock (1056-Z1-1601) (322) report. 5:00PM , West Virginia University, and The Blip of the Blop: A Successful Mathematics Hong-Jian Lai  (337) Preliminary report. *, University of Wisconsin-La Crosse Major Seminar. Huiya Yan , Fitchburg State College (1056-05-536) Gerald M. Higdon (1056-Z1-1311) 5:00PM The optimal -rubbling number of the complete t 5:15PM (323) Preliminary report. Statistics-Based Calculus? m-ary tree.  (338) , St. Lawrence University , Massachusetts Institute of Technology Patti Frazer Lock Lisa Danz (1056-Z1-1241) (1056-05-586) 5:30PM 5:15PM Mathematics across the Curriculum: A Twenty-year Simultaneous and non-simultaneous Bulgarian  (339)  (324) Preliminary report. Retrospective. Exchange. , The Richard Stockton , Augsburg College, Minneapolis Frank Anthony Cerreto Suzanne I Doree College of NJ (1056-Z1-1309) (1056-05-651) 5:45PM 5:30PM Visualizing and Utilizing the Symmetry Method for Supereulerian Graphs and Hamiltonian Line  (340) (325) Differential Equations. Graphs. , California State University East Bay , West Virginia University S. L. Yap Yanting Liang (1056-Z1-1443) (1056-05-731)

MAA Session on General Contributed Papers, II MAA Session on Developmental Mathematics Education: Helping Under-Prepared Students 2:15 PM –5:55PM Transition to College-Level Mathematics, I Organizers: Eric S. Marland, Appalachian State University 2:15 PM –4:10PM , Northern Kentucky Daniel J. Curtin Organizers: Kimberly J. Presser, Shippensburg University University 2:15PM PSp ( ) Huppert’s Conjecture and 4 q . J. Winston Crawley, Shippensburg (326) Thomas Philip Wakefield, Youngstown State University University (1056-Z1-336) 2:15PM College Mathematical Readiness of the Senior High 2:30PM Lobb’s Generalization of Catalan’s Parenthesization (341) School Students of the Public Schools in District I of  (327) Problem and Forder’s Catalan Triangle. , Framingham State College Davao City, Philippines. Thomas Koshy , University of Mindanao, Davao (1056-Z1-974) Melanie Joyno Orig City, Philippines (1056-D1-223) 2:45PM (2 7) ∼= (3 2) Why is PSL , GL , ? 2:35PM  (328) *and ,VirginiaTech Developmental Mathematics and Assessment: Ezra Brown Nicholas A. Loehr (342) (1056-Z1-379) Wherehavewecomefrom?Wherearewenow? Where are we going? Preliminary report. 3:00PM The Harmonic Series and Biconvergence: One step Kimberly J Presser, Shippensburg University  (329) forward, two steps back. (1056-D1-809) Christopher M Davis,GeorgeMasonUniversity, 2:55PM and *, Roanoke College ”Rock Math” a Successful Implementation of a David G Taylor  (343) (1056-Z1-387) Curriculum Designed to Help Under-prepared Students make the Transition to College 3:15PM Polynomial Root Motion. Mathematics.  (330) Christopher S Frayer,Universityof Robert E Burks*andEric W. Drake, United States Wisconsin-Platteville (1056-Z1-636) Military Academy (1056-D1-233) 3:30PM Mathematics in Signal Processing. 3:15PM Online Interdisciplinary Mathematics: Project MESH.  (331) Mohamed Allali, Chapman University (344) Suzanne Galayda*andKathleen Berver,New (1056-Z1-646) Mexico State University (1056-D1-1413) 3:45PM A Two-Course Sequence on Mathematical 3:35PM Beginning Behind: The Effect of Background  (332) Programming for Undergraduates.  (345) Knowledge and Mathematical Self Image on Paul E. Fishback, Grand Valley State University University Precalculus Students’ Success. (1056-Z1-604) Christine L. Ebert, Donna A. Mark*andRachael 4:00PM Bridging Policy and Practice Through M. Todd, University of Delaware (1056-D1-881)  (333) Ethnomathematics in the Pacific. 3:55PM Understanding and addressing the social/emotional Linda Furuto, University of Hawai’i (1056-Z1-39) (346) needs of learners with histories of difficulty in 4:15PM Just-in-Time Calculus. Preliminary report. mathematics.  (334) Katherine S. Kelm, California State University, Michael H Davis, UC Berkeley Lawrence Hall of Fresno (1056-Z1-1805) Science (1056-D1-794)

128 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

MAA Session on Experiences that Enrich the MAA Session on Preparing K–12 Teachers to Teach Education of Mathematics Majors, I Algebra, I

2:15 PM –6:10PM 2:15 PM –5:50PM Organizers: Elizabeth Burroughs,MontanaState Organizers: Suzanne M. Lenhart,Universityof University Tennessee Angela M. Hodge, North Dakota State University Steven J. Schlicker, Grand Valley State University William G. McCallum,Universityof Arizona , Youngstown State J. Douglas Faires 2:15PM University Developing a Comprehensive and Balanced (358) Perspective on School Algebra Among Practicing Michael J. Dorff, Brigham Young Secondary School Mathematics Teachers. University Xuhui Li, California State University - Long Beach (1056-N1-2062) 2:15PM REU and REV program at the new institute, NIMBioS. 2:35PM Helping teachers develop algebraic reasoning skills  (347) Preliminary report. (359) through investigation of algebraic proofs and Suzanne Lenhart*, University of Tennessee, and mathematical discourse experiences. Sarah Duncan, National Institute for Mathematical Tina Louise Johnston*, Henry Gillow-Wiles and and Biological Synthesis (1056-E5-263) Margaret L. Niess, Oregon State University (1056-N1-2058) 2:35PM Enhancing teaching and learning of undergraduate  (348) mathematics majors through transformative 2:55PM Extending from Multiplication of Two-Digit Numbers research and training in biological and bio-inspired  (360) to Multiplication of Binomials and Beyond: systems. Preliminary report. Understanding the Learning Trajectory. Preliminary Kris Kappmeyer, H-B Woodlawn, Arlington report. Public Schools, VA, Sarah Minerva Venuti, Trisha A. Bergthold, San Jose State University George Mason University, VA, Courtney Marie (1056-N1-2057) Chancellor, Southern Methodist University, TX, and 3:15PM Guiding Teachers to See Opportunities for Algebraic Padmanabhan Seshaiyer*, George Mason (361) Reasoning in the Curriculum. Preliminary report. University, VA (1056-E5-246) Dale R Oliver, Humboldt State University (1056-N1-1927) 2:55PM Collaborative Synthetic Biology Research for 3:35PM  (349) Undergraduates. Connecting Mathematics and Pedagogy in Courses *, Missouri Western State University, (362) for Future Algebra Teachers. Jeffrey L Poet *and , and Laurie J Heyer, Davidson College Rebecca H McGraw William McCallum (1056-E5-1164) University of Arizona (1056-N1-1804) 3:55PM The Concept of Variable and the Logic of Solving 3:15PM Enriching the Major through a Comprehensive  (363) Equations and Inequalities.  (350) Scholarship Program. Preliminary report. Susanna Epp, DePaul University (1056-N1-1800) *and ,The Deborah Lawrence Tina Alves Mancuso 4:15PM Measuring the World: Preparing Elementary Sage Colleges (1056-E5-1603)  (364) Teachers to Prepare Students for Algebra. , California State University, 3:35PM Integrating Civic Engagement in an Integral Susan L. Addington San Bernardino (1056-N1-1786)  (351) Calculus Course. Preliminary report. Barbara P. Gonzalez-Arevalo*andMelanie 4:35PM A course in Mathematical Knowledge for Teaching Pivarski, Roosevelt University (1056-E5-480)  (365) for pre-service secondary teachers. Diana White, University of Colorado Denver 3:55PM Undergraduate Research as Resource. Preliminary (1056-N1-1699)  (352) report. 4:55PM , Aquinas College An Innovative Course in Elementary Number Theory Michael E McDaniel  (366) Preliminary report. (1056-E5-266) for Preservice Teachers. Agnes M Rash, Saint Joseph’s University, 4:15PM From Inquiry to Research—Fostering Research with Philadelphia, PA (1056-N1-1643)  (353) Undergraduates. 5:15PM On Line Number and Algebra for In-Service Middle David A. Brown, Ithaca College (1056-E5-211)  (367) School Math Teachers. Michael Mays*andDavid Miller,WestVirginia 4:35PM An undergraduate original research experience: University (1056-N1-1477) (354) Mathematical modeling with graph theory. 5:35PM , Washington and Jefferson Dihedral Groups for Preservice Elementary Faun C. C. Doherty  (368) College (1056-E5-97) Teachers. Leah Bridgers, SUNY Oneonta (1056-N1-1475) 4:55PM “Introduction to Being a Math Major” seminar. 5:55PM Place Value—the Link Between Arithmetic and  (355) Michael Dorff, Brigham Young University  (369) Success in Algebra. (1056-E5-1200) Murray H Siegel, Arizona State University, Polytechnic (1056-N1-265) 5:15PM Bio-Math Connection in Undergraduate (356) Mathematics. Preliminary report. Urmi Ghosh-Dastidar, College of MAA Session on The Scholarship of Teaching and Technology, CUNY (1056-E5-2016) Learning in Undergraduate Mathematics, II

5:35PM Expanding Opportunities in Mathematics across the 2:15 PM –5:10PM (357) Curriculum. Joyati Debnath, Winona State University, Winona, Organizers: Edwin P. Herman,Universityof MN (1056-E5-763) Wisconsin - Stevens Point

JANUARY 2010 NOTICES OF THE AMS 129 Program of the Sessions – Wednesday, January 13 (cont’d.)

Nathan M. Wodarz,Universityof 3:15PM Starting and Running an REU for Minorities and Wisconsin - Stevens Point  (382) Women. *, National Science Foundation, 2:15PM Retention Benefits of Refocused College Algebra. Dennis Davenport  (370) Bernadette F. Turner*andDonna Stallings, and Bonita Porter, Miami University Lincoln University Jefferson City, MO (1056-G5-2139) (1056-Q1-1748) 3:35PM Successful Intervention Programs in Mathematics  (383) 2:35PM Teaching Reform in College Algebra. Preliminary for Undergraduates Historically Underrepresented  (371) report. in the Mathematics-based Disciplines. ,TheUniversityof Jinfeng Wei*, Guangwei Fan and Min Deng, James A. Mendoza Epperson Maryville University of St. Louis (1056-Q1-1177) Texas at Arlington (1056-G5-1938) 3:55PM 2:55PM Beliefs of Liberal Arts Mathematics Students Some Challenges to Broadening Participation in  (384)  (372) Regarding the Nature of Mathematics. Preliminary Mathematics at the Undergraduate Level. report. Sylvia T. Bozeman, Spelman College (1056-G5-1054) Stephen D. Szydlik,Universityof Wisconsin-Oshkosh (1056-Q1-1549) 4:15PM Speed Bumps and Potholes in the Road to  (385) 3:15PM Mathematics Teachers’ Circles. Preliminary report. Strengthening Underrepresented Minority  (373) Harold B Reiter*andAnthony Fernandes, Mathematics Achievement, Past, Present, and University of North Carolina Charlotte Future. (1056-Q1-1267) Robert E. Megginson, University of Michigan (1056-G5-1176) 3:35PM Helping Pre-Service Teachers Address their (374) 4:35PM Exploration of a Mathematics Enrichment Summer Tendency of Overgeneralizing Proportionality: (386) Using Non-proportional Situations and Focusing on Camp for Underrepresented High School Students. Sandra L. Richardson*, Lamar University, Quantities and Relationships. and , Hampton University Kien H. Lim, University of Texas at El Paso David S. Torain (1056-Q1-243) (1056-G5-1647) 4:55PM 3:55PM AIM Math Teachers’ Circle Immersion Workshop. How Prospective Mathematics Teachers Define   (375) (387) Wade Ellis*, West Valley College, and Tatiana Mathematical Definitions. , San Jose State University (1056-G5-1653) Nermin Tosmur-Bayazit, Georgia State University Shubin (1056-Q1-1803) 5:15PM The Director of SUMMA looks at SUMMA past,  (388) 4:15PM present, and future. What Do Students Hear in Statistics Classes: , MAA/University of the District  (376) William A. Hawkins Empirical Results from a Study of Lexical of Columbia (1056-G5-1324) Ambiguity. Preliminary report. Diane Fisher*, University of Louisiana at Lafayette, Jennifer Kaplan, Michigan State University, and Neal Rogness, Grand Valley State University MAA Session on Mathematical Texts: Famous, (1056-Q1-1060) Infamous, and Influential, II 4:35PM Do discussion boards improve statistical reasoning 2:15 PM –4:30PM  (377) skills? Preliminary report. Edwin Prine Herman,Universityof Organizers: Fernando Q. Gouvˆea, Colby College Wisconsin-Stevens Point (1056-Q1-1732) Amy Shell-Gellasch, Beloit College 4:55PM Strategies that worked for me in Teaching and 2:15PM For the good-hearted reader: Joost Burgi,¨ the (378) Learning Undergraduate Mathematics.  (389) history of logarithms, and a work that should have , Winona State University, Winona, Joyati Debnath been famous. MN (1056-Q1-2007) Kathleen M Clark, Florida State University (1056-H1-1401) 2:35PM Parallel Insight, Priority, and Pre-eminence: John  (390) Napier, Joost Burgi,¨ and Famous Works on MAA Session on The MAA SUMMA Program Turns Logarithms. 20—A Retrospective Clemency J Montelle, University of Canterbury (1056-H1-1018) 2:15 PM –5:30PM 2:55PM Bougainville’s Tratie du Calcul-Integral. Preliminary  (391) report. Organizers: William A. Hawkins Jr,MAAandthe University of the District of Columbia James J Tattersall,ProvidenceCollege (1056-H1-495) Efraim Armendariz,Universityof Texas at Austin 3:15PM Warren Colburn’s ”First Lessons in Arithmetic”. (392) Andrew B. Perry, Springfield College Camille A. McKayle, University of the (1056-H1-1095) Virgin Islands 3:35PM “The Method of Rates”: The Books of Rice and ,Universityof Robert E. Megginson  (393) Johnson. Michigan, Ann Arbor George M. Rosenstein, Franklin & Marshall College 2:15PM The San Antonio Prefreshman Engineering Program (1056-H1-553)  (379) Turns 30—A Retrospective. 3:55PM Osgood’s Theory of Functions. , University of Texas at San Manuel P. Berrioz´abal  (394) Lawrence A. D’Antonio, Ramapo College of New Antonio (1056-G5-438) Jersey (1056-H1-234) 2:35PM Minorities and the MAA, Initial Steps. 4:15PM The Historian and the Mathematician: The  (380) Lida K. Barrett, Knoxville, TN (1056-G5-282)  (395) Reception of the Biography by Michael Sean 2:55PM Stengthening Underrepresented Minority Mahoney of Pierre de Fermat.  (381) Mathematics Achievement Intervention Programs. Thomas Drucker,Universityof Florence Fasanelli, AAAS (1056-G5-87) Wisconsin–Whitewater (1056-H1-1842)

130 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Wednesday, January 13 – Program of the Sessions

SIAM Minisymposium on Frontiers in Geomathematics AWM Panel Discussion

2:15 PM –6:30PM 2:15 PM –3:40PM Organizers: Willi Freeden,Universityof Dual careers or dueling careers? Jobs and the Kaiserslautern two-body problem. M. Zuhair Nashed,Universityof Moderator: Georgia Benkart,Universityof Central Florida Wisconsin-Madison Thomas H. Sonar, Technical University Panelists: Christine Min Wotipka,Stanford of Braunschweig University 2:15PM Geomathematics—Role, Aims, and Potential. Ellen Spertus, and (396) Willi Freeden, University of Kaiserslautern, Google Geomathematics Group (1056-86-1128) David C. Manderscheid,Universityof 3:15PM Modeling the Geomagnetic Field by Locally Nebraska-Lincoln  (397) Supported Wavelets. Preliminary report. Maia Averett, Mills College Christian Gerhards,TUKaiserslautern (1056-86-1134) MAA Session on General Contributed Papers, III 3:45PM Modeling of Geothermal Flow. Preliminary report.  (398) Isabel Ostermann,TUKaiserslautern 2:30 PM –4:25PM (1056-86-1135) Organizers: , Appalachian State 4:15PM Eric S. Marland Slepian Functions for Signal Estimation and University (399) Spectral Analysis. Frederik J Simons, Princeton University Daniel J. Curtin, Northern Kentucky (1056-86-1546) University 4:45PM Spherical Harmonics, Splines and Wavelets — What 2:30PM Proving in the Right Circles. (400) Comes Next? (404) Linda McGuire, Muhlenberg College (1056-Z1-315) Michel Volker, Geomathematics Group Siegen 2:45PM Algebra in the K-5 Mathematics Curriculum: (1056-65-1132)  (405) Keeping the Promise of Algebra for Every Age. , Oglethorpe University 5:15PM Eulerian-Lagrangian methods for multiphase Judith Lynn Gieger (401) multicomponent transport. (1056-Z1-1538) Thomas F. Russell, National Science Foundation 3:00PM Uncovering Buffon’s Essai d’Arithmetique Morale. (1056-65-1849)  (406) Preliminary report. *, Carthage College, and 5:45PM Randomizing the time in the and Dominic W Klyve Anna , Abbot Laboratories (1056-Z1-1613) (402) blind deconvolution of galaxy images. Lauren Alfred S. Carasso, National Institute of Standards 3:15PM Break. and Technology, Gaithersburg, MD 3:30PM Comparison of Inquiry-Based Class Sessions and 6:10PM Moment Problems in Reproducing Kernel Hilbert  (407) Lecture in the Context of Computer-Assisted (403) Spaces. Algebra Instruction. Preliminary report. M. Zuhair Nashed, University of Central Forida John C. Mayer, University of Alabama at (1056-65-2123) (1056-Z1-1739) 3:45PM Open, online, homework help forums: Fostering a  (408) culture in which communication reflects a MAA-Young Mathematicians’ Network Poster Session conceptual orientation toward the attainment of quantitative reasoning and literacy skills. Preliminary report. 2:15 PM –4:15PM Carla Currin van de Sande*andFrank S. Marfai, Organizers: Kim Roth, Juniata College Arizona State University (1056-Z1-1362) Michael C. Axtell,UniversityofSt. 4:00PM Teaching For Transfer And High Cognitive Demand Thomas (409) Through The Use Of Discourse In Algebra. Kimberly M Vincent, Washington State University (1056-Z1-1892) MAA Panel Discussion 4:15PM Closing the Gap: How Can Mathematics Instructors  (410) Empower Students for Academic Success in 2:15 PM –3:25PM Future Mathematics Courses—Insights From the Developmental Psychology of Personal Cultivating mathematical interest and talent of Mathematical Comprehension precollege students: Outreach through summer Clyde L. Greeno, MALEI Mathematics Institute math camps and academies. (1056-Z1-2012) Organizer: Michelle L. Ghrist,U.S.AirForce Academy MAA Section Officers Panelists: David Boliver,UniversityofCentral Oklahoma 2:30 PM –5:00PM Peter Kuchment,TexasA&M University MAA Invited Address Lisa Rezac,UniversityofSt.Thomas Hortensia Soto-Johnson,Universityof 3:20 PM –4:10PM Northern Colorado (411) The factorial function, integer-valued polynomials, Max L. Warshauer, Texas State and p-adic calculus. University Manjul Bhargava, Princeton University

JANUARY 2010 NOTICES OF THE AMS 131 Program of the Sessions – Wednesday, January 13 (cont’d.)

AWM Business Meeting SIGMAA on the History of Mathematics Business Meeting, Reception, and Guest Lecture 3:45 PM –4:15PM 5:30 PM –7:30PM

6:30PM The Archimedes Palimpsest and its infinite (418) possibilities. MAA Committee on Graduate Students-Young Reviel Netz, Classics Department, Stanford Mathematicians’ Network Panel Discussion University (1056-A0-68)

3:50 PM –5:10PM SIGMAA on Math Circles for Students and Teachers How to interview for a job in the mathematical Business Meeting sciences. Organizer: David C. Manderscheid,Universityof 5:30 PM –6:30PM Nebraska-Lincoln Panelists: Allen Butler, Daniel H. Wagner Reception for Graduate Students and First-Time Associates, Inc. Participants James Freeman, Cornell College David C. Manderscheid 5:30 PM –6:30PM Sharon Mosgrove,Concordia University AMS Josiah Willard Gibbs Lecture Sarah Ann Stewart, Belmont University 8:30 PM –9:30PM (419) Quantum channels and their capacities. Peter W. Shor, Massachusetts Institute of Reception for Undergraduate Students Technology (1056-81-12)

4:00 PM –5:00PM Thursday, January 14 MAA Session on General Contributed Papers, IV Joint Meetings Registration 4:30 PM –5:40PM 7:30 AM –4:00PM Organizers: Eric S. Marland, Appalachian State University Daniel J. Curtin, Northern Kentucky AMS Special Session on Arithmetic of Function Fields, University I 4:30PM Using Clickers in a Refocused College Algebra 8:00 AM – 11:50 AM (412) Course – Part II. Kathryn T Ernie*andMaren Gebhard,University Organizers: Allison Pacelli, Williams College of Wisconsin - River Falls (1056-Z1-1990) Michael Rosen,BrownUniversity 4:45PM Click and Tell. 8:00AM Fourier Coefficients, Relations, and Ranks in the (413) Benjamin J Galluzzo, Shippensburg University (420) Space of Eisenstein Series of a Function Field of a (1056-Z1-915) Finite Field. 5:00PM Promoting Clickers in Mathematics Courses at Michael J. Daniel, Drexel University (1056-11-538) (414) Virginia Military Institute. 8:30AM Ramification in iterated towers for rational Aprillya Lanz*, Vonda K Walsh and Daniel (421) functions. Joseph, Virginia Military Institute (1056-Z1-1893) John T Cullinan, Bard College (1056-11-365) 5:15PM Overcoming Pre-Calculus Misconceptions in 9:00AM Tate sequences and applications. Preliminary  (415) Calculus Using Clickers. (422) report. Daniel Joseph*, Aprillya Lanz and Vonda Walsh, Cristian D Popescu, University of California, San Virginia Military Institute (1056-Z1-540) Diego (1056-11-373) 5:30PM Improving Mathematical Practices to Prepare K-12 9:30AM Explicit points on elliptic curves over function fields.  (416) Teachers on Algebraic Connections and Technology. (423) Preliminary report. Preliminary report. Douglas Ulmer, Georgia Institute of Technology Seshaiyer Padmanabhan*, George Mason (1056-11-1161) University, Fairfax, VA, and ,George Suh Jennifer 10:00AM On generators of arithmetic groups over function Mason University, VA (1056-Z1-1286) (424) fields. Mihran Papikian, Pennsylvania State University (1056-11-1014) 10:30AM Ramification Groups and Differents in AMS-MAA Special Presentation (425) Artin-Schreier Composita. Renate Scheidler*andQingquan Wu,Universityof 4:30 PM –6:00PM Calgary (1056-11-757) 4:30PM Elementary school teachers as mathematicians: As 11:00AM Symmetries of characteristic p L-series. (417) the twig is bent the tree grows.  (426) David Goss, The Ohio State University Kenneth I. Gross, University of Vermont (1056-11-668)

132 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

11:30AM Values of Goss L-functions for Dirichlet characters 9:30AM First coefficient of the Conway polynomial of virtual (427) at positive integers. Preliminary report.  (439) links. Preliminary report. Matthew Papanikolas,TexasA&MUniversity Sergei Chmutov, Ohio State University, Mansfield (1056-11-431) (1056-57-705) 10:00AM Turaev genus, knot signature, and the knot (440) homology concordance invariants. AMS Special Session on Commutative Algebra, I Oliver Dasbach, Louisiana State University, and Adam Lowrance*, University of Iowa (1056-57-427) 8:00 AM – 11:50 AM 10:30AM Geometry of Lorenz knots. Organizers: Susan Cooper,Universityof (441) Ilya Kofman, College of Staten Island, City Nebraska-Lincoln University of New York (1056-57-1710) Graham Leuschke, Syracuse University 11:00AM Adequate knots, guts, and volumes I: surfaces and Sean M. Sather-Wagstaff,North (442) polyhedra. Dakota State University David Futer,TempleUniversity,Efstratia Kalfagianni, Michigan State University, and 8:00AM Preliminary report. What is a system of parameters? *, Brigham Young University (428) *, University of Kansas, and Jessica S Purcell Craig Huneke Louiza (1056-57-1825) Fouli, New Mexico St. University (1056-13-721) 11:30AM 8:30AM Adequate knots, guts, and volumes II: volume and Syzygy Theorem via Comparison of Order Ideals. (443) (429) and *, Jones polynomial. Phillip A. Griffith Alexandra Seceleanu *, Temple University, University of Illinois at Urbana-Champaign David Futer Efstratia , Michigan State University, and (1056-13-1439) Kalfagianni Jessica S Purcell, Brigham Young University 9:00AM Hochster’s Theta invariant and the Hodge-Riemann (1056-57-1913) (430) bilinear relations. W. Frank Moore, Cornell Univ., Greg Piepmeyer*, Univ. of Missouri-Columbia, Sandra Sprioff,Univ. of Mississippi, and Mark E Walker,Univ.of Nebraska, Lincoln (1056-13-1484) 9:30AM Test ideals in non-Q-Gorenstein rings. (431) Karl Schwede, University of Michigan AMS Special Session on Graph Algebras in Analysis (1056-13-774) and Algebra, I 10:00AM On the Behavior of Test Ideals Under Generically (432) Separable Finite Morphisms. 8:00 AM – 11:50 AM Kevin Tucker*andKarl Schwede,Universityof Michigan (1056-13-1480) Organizers: Gene Abrams, University of Colorado at Colorado Springs 10:30AM A numerical condition for equisingularity. (433) Preliminary report. Mark Tomforde, University of Houston ,MIT, ,Purdue Steven Kleiman Bernd Ulrich 8:00AM Isomorphism and Morita equivalence of graph University, and *, University of Javid Validashti (444) algebras I. Kansas (1056-13-835) Gene Abrams, University of Colorado at Colorado 11:00AM Beyond Numerics in Boij-Soederberg Theory. Springs, and Mark Tomforde*, University of (434) Daniel Erman, University of California, Berkeley Houston (1056-46-959) (1056-13-599) 8:30AM Isomorphism and Morita equivalence of graph 1 1 11:30AM Sheaves on P × P . (445) algebras II. Preliminary report. (435) David Eisenbud*, University of California, Berkeley, Gene Abrams*, University of Colorado at Colorado and Frank-Olaf Schreyer,Universitaetdes Springs, and Mark Tomforde,Universityof Saarlandes (1056-14-1743) Houston (1056-16-943) 9:00AM Leavitt path algebras and graph C*-algebras of (446) separated graphs, I. Preliminary report. AMS Special Session on Geometric Aspects of Link Pere Ara*, Universitat Autonoma de Barcelona, and and 3-manifold Invariants, II Kenneth R. Goodearl, University of California at Santa Barbara (1056-16-787) 8:00 AM – 11:50 AM 10:00AM Leavitt path algebras and graph C*-algebras of Organizers: Oliver Dasbach, Louisiana State (447) separated graphs, II. Preliminary report. University P. Ara,UniversitatAutonoma` de Barcelona, and K. *, University of California at Santa Effie Kalfagianni, Michigan State R. Goodearl University Barbara (1056-16-828) 8:00AM Reidemeister Torsion and the A-polynomial. 10:30AM Nevanlinna-Pick interpolation for the Schur class (436) Charles Frohman*, The University of Iowa, and (448) associated with a directed graph. Joanna Kania-Bartoszynska, National Science Joseph A. Ball*, Virginia Tech, and Sanne ter Foundation (1056-57-999) Horst, Utrecht University (1056-47-328) 8:30AM Quantum form of the Reidemeister torsion of a knot 11:00AM Leavitt Path Algebras with Coefficients in a (437) complement. (449) Noncommutative Ring. Charles D Frohman, The University of Iowa, and Jennifer Firkins Nordstrom, Linfield College Joanna Kania-Bartoszynska*, National Science (1056-16-1106) Foundation (1056-57-1173) 11:30AM Explicit of purely infinite simple 9:00AM Higher Mahler measures. (450) Leavitt path algebras. Preliminary report. (438) Matilde N Lalin, University of Alberta Chris Smith*andGene Abrams,Universityof (1056-11-442) Colorado, Colorado Springs (1056-16-866)

JANUARY 2010 NOTICES OF THE AMS 133 Program of the Sessions – Thursday, January 14 (cont’d.)

AMS Special Session on Interactions of Inverse 9:30AM Polyphase Sequence Families with Low Correlation Problems, Signal Processing, and Imaging, I  (460) from the Bounds of Character Sums. Preliminary report. 8:00 AM – 11:40 AM Gong Guang*, Department of Electrical and Computer Engineering, University of Waterloo, and Organizer: M. Zuhair Nashed,Universityof Zilong Wang, Beijing University (1056-94-1550) Central Florida 10:00AM Near Shannon limit low Peak to Average Power 8:00AM Cramer-Rao Bound for Estimating Non-linear (461) Ratio Turbo Block Coded OFDM. (451) Parameters in a Model for Chemical Species Vahid Tarokh*, Maryam Sabbaghian,Harvard Separation using Magnetic Resonance Imaging. University, Besma Smida, Purdue University, and Emily K. Bice*, California State University, Yongjun Kwak, Harvard University (1056-05-1043) Fullerton, , Department of Venkata V. Chebrolu 11:00AM Algebra and Multi-Camera Networks. Biomedical Engineering, University of Wisconsin, (462) Nigel Boston, University of Wisconsin - Madison Madison, Huanzhou Yu, Global MR Applied Science (1056-94-1747) Laboratory, GE Healthcare, Menlo Park, CA, Jean H 11:30AM Brittain, Global MR Applied Science Laboratory, GE On applications of non-commutative Fourier (463) Healthcare, Madison, WI, Scott B. Reeder, analysis in computational science. Department of Radiology, University of Wisconsin, Hans Z Munthe-Kaas, University of Bergen, Norway (1056-65-1148) Madison, and Angel R. Pineda, California State University, Fullerton (1056-62-1387) 8:30AM Sequential Lower Semi-Continuity of Non-Local AMS Special Session on The Mathematics of (452) Functionals. Information and Knowledge, I Peter Elbau, Johann Radon Institute for Computational and Applied Mathematics 8:00 AM – 11:40 AM (1056-49-1514) Organizers: Naoki Saito, University of California 9:00AM On detection of small low emission sources. Davis (453) Peter Kuchment*, Texas A&M University, David Ronald R. Coifman,YaleUniversity Darrow, UT Medical Branch at Galveston, Yulia Hristova and Guido Kanschat,TexasA&M James G. Glimm, SUNY at (1056-35-1029) Peter W. Jones,YaleUniversity 9:30AM Compressed sensing via information theoretic Mauro Maggioni, Duke University (454) methods. Jared Tanner, *and , Vanderbilt Akram Aldroubi Haichao Wang 8:00AM Harmonic Analysis and Geometries of Digital Data University (1056-94-843) (464) Bases. 10:00AM Multiscale elasticity imaging. Ronald R. Coifman*, Yale, and Matan Gavish, (455) Pierre Garapon*, Stanford University, Habib Stanford University (1056-65-1160) , Ecole Polytechnique, and , Ammari Franc¸ois Jouve 9:00AM Nonparametric Manifold Learning and Compressive University Denis Diderot, PARIS VII (1056-35-1378) (465) Sensing. 10:30AM Reconstruction of Piecewise Constant Images Using Lawrence Carin, Duke University (1056-41-1525) (456) Nonsmooth Nonconvex Minimization. 10:00AM Affine-invariant Principal Components. Mila Nikolova, Centre de Mathematiques et de (466) Santosh S Vempala*, Georgia Tech, and SCharles Leurs Applications (1056-49-2145) Brubaker, Pace Academy (1056-68-853) 11:00AM Beyond the Shannon-Nyquist Theorem. 11:00AM Construction of a Large Class of Deterministic (457) , Centre de Mathematiques et de Leurs (467) Sensing Matrices that Satisfy a Statistical Isometry Applications (1056-41-2143) Property. Robert Calderbank*, Princeton University, Stephen DHoward, Defence Science and Technology Organisation, and Sina Jafarpour,Princeton University (1056-41-852) AMS Special Session on Algebraic Methods in Signal Processing, I AMS Special Session on Voting Theory, I 8:00 AM – 11:50 AM 8:00 AM – 11:50 AM Organizers: Shamgar Gurevich,Universityof California Berkeley Organizers: Michael Jones,MathematicalReviews Brian Hopkins, Saint Peter’s College Ronny Hadani, University of Chicago Tommy Ratliff, Wheaton College Olga Holtz, University of California Berkeley and Technical University 8:00AM Minimal Requirements for Representation in the Berlin  (468) Democratic Primary. *, Eugene Lang College the New , Technical University Jennifer M Wilson Oded Schwartz School for Liberal Arts, and Michael A Jones, Berlin Mathematical Reviews (1056-91-732) , Tel Aviv University Nir Sochen 8:30AM The Evaluation and Comparison of Thresholds for 8:00AM Desired properties of identity codes. Preliminary  (469) Divisor Methods.  (458) report. Michael A Jones*, Mathematical Reviews, and Anant Sahai*andKristen Ann Woyach,UC Jennifer M. Wilson, Eugene Lang College of the Berkeley (1056-94-1688) New School University (1056-91-714) 9:00AM Group-Theoretic Algorithms for Matrix 9:00AM Analysis of Cumulative Voting’s Potential to Yield  (459) Multiplication. (470) Fair Representation. Chris Umans, Caltech (1056-68-1303) Duane Cooper, Morehouse College (1056-91-2017)

134 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

9:30AM Algebraic Voting Theory. Billur Kaymakcalan, Georgia Southern (471) Michael E. Orrison, Harvey Mudd College University-Statesboro (1056-20-756) Allan Peterson,Universityof 10:00AM Statistical Inconsistencies of Ranked Data. Nebraska-Lincoln (472) Anna E Bargagliotti*, The University of Memphis, 8:00AM Eigenvalue intervals for a system of generalized and Michael Orrison, Harvey Mudd College (484) second order three point nonlinear boundary value (1056-91-780) problems on a time scale. 10:30AM Manipulating Profiles in Nonparametric Statistics: Johnny Henderson, Baylor University (1056-34-27)  (473) Preliminary report. Stacking and Switching. 8:30AM Higher order singular multi-point boundary value Sarah Berube and Karl-Dieter Crisman*, Gordon (485) problems on time scales. College (1056-91-84) Abdulkadir Dogan, University of Nigde, Nigde, 11:00AM Frequency of violations of monotonicity. Turkey, John R Graef*andLingju Kong, (474) Robert Z. Norman, Dartmouth College The University of Tennessee at Chattanooga (1056-91-1858) (1056-39-746) 11:30AM Concensus among Concensus Methods. Preliminary 9:00AM The Existence of Multiple Nontrivial Solutions of  (475) report. (486) Boundary Value Problems of Second-Order Dynamic Anna Popova*andMichel Regenwetter,University Equations on a Time Scale. Preliminary report. of Illinois at Urbana-Champaign, Psychology Heidi A Berger, Simpson College (1056-39-1540) (1056-91-620) 9:30AM Positive periodic solutions of functional differential (487) equations on time scales and population models. AMS Special Session on Analysis and Control Under Youssef Naim Raffoul*, University of Dayton, and Uncertainty, I Joan Hoffacker, Clemson University (1056-37-806) 10:00AM Implications of time scales to spraying mosquitoes 8:00 AM – 11:50 AM (488) for West Nile prevention. , Clemson University Organizers: ,FloridaState Joan Hoffacker Xioaming Wang (1056-34-1269) University 10:30AM Preliminary , Auburn University A predator-prey system on a time scale. Yanzhao Cao (489) report. Catalin Trenchea,Universityof Nickolai Kosmatov, University of Arkansas at Little Pittsburgh Rock (1056-39-1491) 8:00AM The Estimation of functional uncertainty using 11:00AM A Ratio Dependent Predator-Prey System on a Time (476) Polynomial Chaos and adjoint equations.  (490) Scale. Preliminary report. *, Dept of Scientific Ionel Michael Navon Eric R. Kaufmann, University of Arkansas at Little Computing/ Florida State University, K Alekseev Rock (1056-92-1325) Aleksey and MEZelentsov, Moscow Institute of 11:30AM Physics and Technology (1056-93-1622) Model for antibiotic resistant bacteria in a river.  (491) Preliminary report. 8:30AM Long Time Behavior of Stochastically Forced PDEs. Bonita A Lawrence*andAnna Mummert, Marshall (477) Jonathan C. Mattingly, Duke University University (1056-34-1456) (1056-37-1929) 9:00AM Stochastic Analysis, Control and Nonlinear Filtering (478) of Fluid Dynamic Models. AMS Special Session on Arithmetic Geometry, I S. S. Sritharan, Naval Postgraduate School (1056-60-507) 8:00 AM – 11:50 AM 9:30AM Optimal Parameter Tuning for Stability under Organizers: Bo-Hae Im, Chung-Ang University (479) Uncertainty. ,Universityof Wolfgang Kliemann, Iowa State University Jennifer Johnson-Leung (1056-93-741) Idaho , Kansas State 10:00AM A Non-Stochastic Talk on Stochastic Optimization / Jennifer Paulhus University  (480) Control. Ana-Maria Croicu, Kennesaw State University 8:00AM Generalizing a Theorem of Richard Brauer. (1056-49-1724) (492) Bo-Hae Im*, Chung-Ang University, Seoul, and , Indiana University (1056-11-1179) 10:30AM Groundwater Reactive Transport Modeling under Michael Larsen  (481) Uncertainty. 8:30AM Numerical evidence for Bruinier-Yang conjecture Ming Ye, Department of Scientific Computing, (493) and comparison with denominators of Igusa class Florida State University (1056-62-1564) polynomials. *, Microsoft Research, 11:00AM An Efficient Spectral Method for Acoustic Scattering Kristin E. Lauter Bianca , University of California at Berkeley, (482) from Rough Surfaces. Viray Jennifer , University of Idaho, Jie Shen, Purdue University (1056-65-1716) Johnson-Leung Adriana Salerno, Bates College, Erika Frugoni,Universityof 11:30AM Approximating long time statistical properties of Colorado, and ,BrynMawr (483) Helen Grundman large chaotic systems. College (1056-11-1633) Xiaoming Wang, Florida State University (1056-76-1971) 9:00AM Bounds for the torsion subgroup of elliptic curves (494) over fields with bounded ramification. Alvaro´ Lozano-Robledo*, University of Connecticut AMS Special Session on Applications of Time Scales to - Storrs, and Benjamin Lundell, Cornell University Biology, Economics, and Engineering, I (1056-11-1092) 9:30AM 8:00 AM – 11:50 AM The growth of Mordell-Weil ranks on tower of (495) Jacobians. Preliminary report. Organizers: Martin Bohner, Missouri University of Guillermo Mantilla, University of Wisconsin, Science and Technology Madison (1056-11-1083)

JANUARY 2010 NOTICES OF THE AMS 135 Program of the Sessions – Thursday, January 14 (cont’d.)

10:00AM Points on Quadratic Twists of X0(N). 8:45AM Additive damage model for anti-cancer drug (496) Ekin Ozman, University of Wisconsin-Madison (507) combinations. (1056-11-1529) Ardith W El-Kareh,ArizonaResearch 10:30AM Anti-Hasse Principles for Algebraic Curves. Laboratories-Microcirculation, University of Arizona, (497) Pete L. Clark, University of Georgia (1056-11-470) Leslie B. Jones*, University of Arizona, and , Department of Physiology, 11:00AM Timothy W Secomb Cox rings of big rational surfaces. University of Arizona (1056-92-244) (498) Damiano Testa,UniversityofOxford,Anthony Varilly-Alvarado*, Rice University, and Mauricio 9:00AM Two-Layer Human Right Ventricle Models with Patch Velasco, University of California at Berkeley (508) and Anisotropic Material Properties for Ventricle (1056-14-1723) Remodeling and Pulmonary Valve Replacement 11:30AM Equations of curves with automorphisms. Surgical Optimization: Flow and Stress Analysis.  (499) Preliminary report. Dalin Tang*, Worcester Polytechnic Institute, Chun David J Swinarski, University of Georgia Yang, Beijing Normal University, Tal Geva and (1056-14-642) Pedro del Nido, Harvard Medical School, Children’s Hospital, Boston (1056-92-409)

MAA Invited Paper Session on Environmental 9:15AM Human Carotid Plaque Progression Correlated Modeling (509) Positively with Flow Shear Stress and Negatively with Plaque Wall Stress: 3D FSI Models Using 8:00 AM –9:50AM Multi-Year Patient-Tracking In Vivo MRI. Chun Yang*, Beijing Normal University, Dalin Organizers: , Clarion University Karen D. Bolinger Tang, Worcester Polytechnic Institute, Gador Ben Fusaro, Florida State University Canton, Thomas S. Hatsukami and Chun Yuan, 8:00AM Warming, Non-linearity & Civilization’s Decline. University of Washington, Seattle (1056-92-417)  (500) Courtney Brown, Dept of Political Science Emory University (1056-BA-1672) 9:30AM Existence and stability of steady states of a reaction (510) convection diffusion equation modeling microtubule 8:30AM Evolution of Competitive Co-existence. formation. Preliminary report.  (501) , University of Arizona Jim M. Cushing Shantia Yarahmadian*, Mississippi State (1056-BA-1678) University, Sidney L. Shaw, Kevin Zumbrun and 9:00AM Environmental Modeling & Big Projects: Lessons Blake Barker, Indiana University (1056-92-531) (502) from Everglades Restoration Planning. Louis J. Gross, Natl. Inst. for Math. & Biol. Synthesis 9:45AM Stochastic Modeling of The Loss of Telomere University of Tennessee Knoxville (1056-BA-2121) (511) Sequences. ,UniversityofLosAndes 9:30AM V Arunachalam Endangered Salmon in the Columbia River Basin. (1056-92-627)  (503) Roland H. Lamberson, Humboldt State University (1056-BA-1714) 10:00AM Numerical Modeling of Intracranial Aneurysms.  (512) Preliminary report. MAA Minicourse #3: Part A Lisa M Melanson,NorthwesternUniversity (1056-76-1703) 8:00 AM – 10:00 AM 10:15AM The effects of boundary transport and anti-oxidants Educating about the state of the planet and (513) on stability of a model of atherogenesis. sustainability while enhancing calculus. L. R. Ritter*, Southern Polytechnic State University, A. I. Ibragimov, Texas Tech University, and J. R. Organizer: Thomas J. Pfaff, Ithaca College Walton, Texas A&M University (1056-92-701) MAA Minicourse #8: Part A 10:30AM A Reaction-Diffusion Model of Cartilage (514) Regeneration in Cell-Seeded Scaffolds. Preliminary 8:00 AM – 10:00 AM report. Janine M. Haugh*andMansoor A. Haider,North The Fibonacci and Catalan numbers. Carolina State University (1056-92-817) Organizer: Ralph Grimaldi, Rose-Hulman Institute 10:45AM of Technology An algorithm for predicting minimal paths between  (515) genomes. Preliminary report. Elinor Velasquez, University of California, Santa AMS Session on Biomathematics, I Cruz (1056-92-933)

8:00 AM – 11:55 AM 11:00AM The consequences of ant behavior for the spatial (516) population dynamics of a southern wildflower. 8:00AM Enhancement of cargo processivity by cooperating Judith E Canner*, Robert R Dunn, North Carolina (504) molecular motors. State University, Itamar Giladi,Ben-Gurion Filippo Posta*, UCLA, Maria R. D’Orsogna, University, Israel, and Kevin Gross, North Carolina Cal State Northridge, and Tom Chou,UCLA State University (1056-92-985) (1056-92-58) 11:15AM 8:15AM Replicator equations and the principle of minimal Influence of inhalation injury on mortality of burn (517)  (505) patients. production of information: some applications to Fatemeh Emdad*, The University of Texas Medical biological models. Branch, ,TheUniversityofTexas Georgiy P. Karev, Lockheed Martin MSD; National Clarisse Djukom Institute of Health (1056-92-1153) Medical Branch, David N. Herndon,UTMB,and Marc G. Jeschke, UTMB (1056-92-170) 11:30AM Geometry and Dynamics of Activity-Dependent 8:30AM A fixed point theorem for a general epidemic model.  (518) Homeostatic Regulation in Neurons. (506) Adam R. Lucas, Saint Mary’s College of California Andrey V. Olypher*andAstrid A. Prinz,Emory (1056-92-227) University (1056-92-1180)

136 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

11:45AM Coexistence of Ecotypes in a Quasilinear 11:30AM The Kawahara equation in weighted Sobolev spaces.  (519) Size-Structured Population Model. Preliminary (533) Netra P. Khanal*, University of Wisconsin - report. Washington County, Jiahong Wu, Oklahoma State Azmy S Ackleh, Paul Leonard Salceanu*and University, and Juan-Ming Yuan,Providence Baoling Ma, University of Louisiana at Lafayette University, Taiwan (1056-35-1100) (1056-92-1197) 11:45AM The Generation and Propagation of Water Waves on (534) a Running Stream. Lokenath Debnath, University of Texas-Pan American (1056-35-1191) AMS Session on Differential and Difference Equations, I AMS Session on Geometry and Topology, III 8:00 AM – 11:55 AM

8:00AM Correctors and Field Fluctuations for the 8:00 AM –9:40AM (520) ( ) p x -Laplacian with Rough Exponents. 8:00AM Surfaces in generic toroidal 3-manifolds. *and , Louisiana State Silvia Jimenez Robert Lipton (535) Ryan Derby-Talbot, Quest University Canada University (1056-35-93) (1056-57-1742) 8:15AM Maximizing distinguishability in optical tomography 8:15AM A∞-Bialgebras of Type (m, n). (521) through selection of an optimal source: Function (536) Ainhoa Berciano,UniversidaddelPa´ıs Vasco-Euskal spaces and inner products. Herriko Unibertsitatea, Sean Evans,Universityof , Clemson University (1056-35-190) Bonnie C Jacob Pittsburgh, and Ronald Umble*, Millersville 8:30AM Break. University of Pennsylvania (1056-55-161) 8:45AM A variational principle associated with a certain 8:30AM Homomorphisms of L∞ Modules. (522) class of boundary value problems. (537) Michael P. Allocca, North Carolina State University Abbas Momeni, Queen’s University (1056-35-436) (1056-55-544) 9:00AM Solutions for 2-Dimensional Coupled 8:45AM A Metric for Homotopy Types. Preliminary report. (523) Kuramoto-Sivashinsky-KdV Equations. (538) Nicholas A Scoville, Dartmouth College Maomao Cai*, Weber State University, Dening Li, (1056-55-923) West Virginia University, and , Chontita Rattanakul 9:00AM Stabilization of Homotopy Limits. Mahidol University, Thailand (1056-35-490) (539) Eric L Finster, University of Virginia (1056-55-1616) 9:15AM On Nonlinear Evolution of Convective Flow in an 9:15AM The Third Torus Complex is Simply Connected. (524) Active Mushy Layer.  (540) Brie A Finegold, University of California at Santa Dambaru Bhatta*, The University of Texas-Pan Barbara (1056-55-1666) American, Mallikarjunaiah S. Muddamallappa, 9:30AM Texas A&M University, and ,The Location of Zeros of Polynomials. Daniel N. Riahi (541) *, Tuskegee University, University of Texas-Pan American (1056-35-1213) C. Affane-Aji N. Agarwal and N. K. Govil, Auburn University, AL 9:30AM A Finite Difference Approximation for an (1056-32-1230) (525) Amphibian Juvenile-adult Migration System. Azmy S. Ackleh, Keng Deng*andQihua Huang, University of Louisiana at Lafayette (1056-35-667) AMS Session on Number Theory, I 9:45AM Stratified steady water waves. (526) Samuel Walsh, Division of Applied Mathematics, 8:00 AM – 11:55 AM Brown University (1056-35-681) 8:00AM 10:00AM Stability of spherically propagating thermal frontal Triangular arrays induced from trigonometric (527) Preliminary report.  (542) functions. polymerization waves. , Novato, CA (1056-11-10) Vladimir A. Volpert and Esteban Urdiales*, Hung-ping Tsao Northwestern University (1056-35-685) 8:15AM Gross-Zagier subgroups of elliptic curves over Q. (543) , University of Washington 10:15AM William A Stein Fractional differential equations for modeling (1056-11-22)  (528) anomalous diffusion in porous medium. Sergei Fomin*, Khalifa University of Science, 8:30AM Construction of Even Length Binary Sequences with Technology and Research, and Vladimir (544) High Asymptotic Merit Factor. Preliminary report. Chugunov, Kazan State University (1056-35-807) Tingyao Xiong*andHall I. Jonathan,Michigan State University (1056-94-537) 10:30AM Asymptotic analysis for the 3D primitive equations (529) in a channel. 8:45AM The Value of the Zeta Function at an Odd Argument. Chang-Yeol Jung*, Ulsan National Institute of (545) Badih N. Ghusayni, Lebanese University Science and Technology, Roger Temam, Indiana (1056-11-133) University, and Makram Hamouda, Dept. of 9:00AM Arithmetic Progressions on Curves of Degree Five. Mathematics, Bizerte, Tunisia (1056-35-842)  (546) Alejandra Alvarado, University of Arizona 10:45AM The refractor problem with loss of energy and (1056-11-171) (530) Monge - Amp`ere type of Equation. 9:15AM On Generalization of Lambert Series. Cristian E Gutierrez and Henok Z Mawi*, Temple  (547) Tom Osler,RowanUniversity,andAbdul Hassen*, University (1056-35-920) Rowan Univeristy (1056-11-1400) 11:00AM Norm Estimates for Composite Operators Applied to 9:30AM The fluctuations in the number of points on a family (531) Harmonic Forms. Preliminary report. (548) of curves over a finite field. Shusen Ding, Seattle University (1056-35-978) Maosheng Xiong, Pennsylvania State University 11:15AM Symbolic Computation of Conservation Laws of (1056-11-200) (532) Nonlinear Partial Differential Equations. 9:45AM More Sums than Differences Sets and Beyond. L. Douglas Poole*andWilly Hereman, Colorado (549) Yufei Zhao, Massachusetts Institute of Technology School of Mines (1056-35-1414) (1056-11-343)

JANUARY 2010 NOTICES OF THE AMS 137 Program of the Sessions – Thursday, January 14 (cont’d.)

10:00AM Minimal product sets sizes in nonabelian groups. 11:00AM Scoringlineofbestfittestquestions. (550) Yakov I Berchenko-Kogan, California Institute of  (567) James H Fife, Educational Testing Service Technology (1056-11-360) (1056-J5-783) 10:15AM An Infinite Family of Recursive Formulas Generating 11:20AM An Alternative Distributional Model for Control of (551) Power Moments of Kloosterman Sums with Trace  (568) Process Particle Counts in the Semiconductor One Arguments: O(2n +1, 2r ) Case. Industry. Dae San Kim, Sogang University (1056-11-430) Robert K. Henderson, Stephen F. Austin State 10:30AM Perfect Parallelepipeds Exist. University, Nacogdoches, TX (1056-J5-1384)  (552) Jorge F Sawyer*andClifford A Reiter, Lafayette 11:40AM Calculating the Greeks via Malliavin Calculus for College (1056-11-500) (569) Variance Gamma Process in Poisson-Wiener Space. 10:45AM On the Convergence of Maximum Roots of a Dervis Bayazit*andCraig A Nolder,FloridaState  (553) Fibonacci Type Polynomial Sequence. University (1056-J5-1727) Robert Molina, Alma College, and Aklilu Zeleke*, Michigan State University (1056-40-1660) 11:00AM On the zeros of Epstein zeta functions. (554) Yoonbok Lee, Yonsei University (1056-11-570) MAA Session on General Contributed Papers, V 11:15AM Galois theory for tame dodecic local fields.  (555) Chad Awtrey, Arizona State University 8:00 AM – 11:55 AM (1056-11-631) Organizers: Eric S. Marland, Appalachian State 11:30AM Arithmetic of Curves and Error-Correction. University (556) *and , Radoslav M Kirov Iwan M Duursma Daniel J. Curtin, Northern Kentucky University of Illinois at Urbana-Champaign University (1056-11-697) 8:00AM When uniformity must be replaced by 11:45AM Two Identities Involving Generalized Fibonacci  (570) non-uniformity: on finite difference approximations (557) Numbers. , University of Central Missouri of the Black-Scholes equation on non-uniform grids. Curtis N. Cooper Preliminary report. (1056-11-1210) Daniel D. Sheng*, Westwood High School, and Myles D. Baker, Baylor University (1056-Z1-1094) 8:15AM A Lagrage Interpolation Mean Convergence. MAA Session on Mathematics Experiences in Business, (571) Javad Namazi, FDU (1056-Z1-332) Industry, and Government 8:30AM L∞ Algebras and Symmetric Braces. (572) , North Carolina State 8:00 AM – 11:55 AM Mindy Beth Capaldi University (1056-Z1-610) Organizers: , Mesa State College Philip Gustafson 8:45AM Fibonacci Numbers and Collections of Mutually Michael Monticino,Universityof  (573) Disjoint Convex Subsets of a Totally Ordered Set. North Texas Tyler Clark*, Western Kentucky University Honors 8:00AM A Robust, Multi-Criteria Modeling Approach for College, and Tom Richmond, Western Kentucky  (558) Optimizing Aeromedical Evacuation Asset University (1056-Z1-1279) Emplacement. 9:00AM Generating Pythagorean Triples. Nathaniel D Bastian, United States Army  (574) Constance C Edwards, California University of (1056-J5-113) Pennsylvania (1056-Z1-1307) 8:20AM The U.S. blood supply, bioterrorism and 9:15AM A New Characterization of Dimension Zero. (559) mathematics.  (575) Preliminary report. Sonja Sandberg, Framingham State College Jay Stine, Misericordia University (1056-Z1-451) (1056-J5-1600) 9:30AM A Lesson Study in Real Analysis. Preliminary report. 8:40AM Using Radar to Identify Persons Carrying Wires.  (576) Brigitte Lahme*, Jerry Morris and Elaine (560) William P Fox*, Naval Postgraduate School, John Newman, Sonoma State University (1056-Z1-1762) , University of CA-Santa Cruz, and Vesecky Kip 9:45AM Inquiry-Based Learning for Middle and High School , University of CA, Santa Cruz (1056-J5-750) Laws  (577) Mathematics Teachers - Part I. Preliminary report. 9:00AM Probability in Solutions for Assembly in Earth Orbit Shing S. So*andMahmoud Yousef,Universityof  (561) of a NASA Spacecraft for Travel to Mars. Central Missouri (1056-Z1-1214) , Winona State University Richard D Jarvinen 10:00AM (1056-J5-583) Inquiry-Based Learning for Middle and High School  (578) Mathematics Teachers—Part II. Preliminary report. 9:20AM A Green’s Function Technique for Radiation Mahmoud Yousef*andShing S. So,Universityof (562) Transport in Three Dimensions. Central Missouri (1056-Z1-1217) *and ,OldDominion Candice Rockell John Tweed 10:15AM University (1056-J5-788) A model for high-school teacher professional (579) development and student learning. 9:40AM Why companies need mathematicians even during Galen E. Turner*, James D. Nelson, Kelly B.  (563) rough times. Crittenden and Jane A. Petrus, Louisiana Tech Carla D Martin,JamesMadisonUniversity University (1056-Z1-1152) (1056-J5-2085) 10:30AM Middle Mathematics Mobilization Program for 10:00AM Movie Recommendation Systems. (580) Middle School Teachers. (564) Erich Kreutzer, Davidson College (1056-J5-1711) Aaron K Trautwein, Carthage College, Kenosha 10:20AM Searching for the home base of a serial criminal. Wisconsin (1056-Z1-1292)  (565) Mike O’Leary, Towson University (1056-J5-811) 10:45AM Being a Student Again: My Summer in a Research 10:40AM Statistical Inconsistency in the Audit Risk Model.  (581) Experience for K-12 Teachers.  (566) Preliminary report. Erin Elizabeth Pitney, Beaverton School District Richard J Cleary, Bentley University (1056-J5-1736) (1056-Z1-1941)

138 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

11:00AM How Might We Prepare Pre-Service High School 11:20AM A Pan-African Model for Developing Mathematical (582) Teachers to Teach Using Computer Algebra  (596) Talent in Africa. Systems? Josephine Davis Davis*, Quality Education for Tom Fox, University of Houston-Clear Lake Minorities/Fort Valley State University, and Monica (1056-Z1-2080) Mitchell, Quality Education for Minorities 11:15AM Mathematics workshops for parents and children as (1056-H7-1932) (583) hybrid spaces. 11:40AM Teaching Numerical Analysis in Cambodia. Jose Maria Menendez,RadfordUniversity  (597) Angel R. Pineda, California State University, (1056-Z1-827) Fullerton (1056-H7-1663) 11:30AM Projects to Enhance Revised Algebra and Functions.  (584) Kenneth J Bernard, Virginia State University (1056-Z1-1192) MAA Session on Experiences that Enrich the 11:45AM A Classroom Project on Protecting Social Security Education of Mathematics Majors, II  (585) Numbers from Identity Theft. *, Farmingdale State College, Yajun Yang 8:00 AM –9:15AM State University of New York, and Katherine Zhu, Massachusetts Institute of Technology Organizers: Suzanne M. Lenhart,Universityof (1056-Z1-1458) Tennessee Steven J. Schlicker, Grand Valley State MAA Session on Mathematics, Equity, Diversity, and University Social Justice, I J. Douglas Faires, Youngstown State University 8:00 AM – 11:55 AM Michael J. Dorff, Brigham Young Organizers: Patricia Hale, California State University Polytechnic University Pomona 8:00AM Creating a Departmental Culture of Enriching Shandy Hauk,UniversityofNorthern  (598) Experiences. Colorado G. Daniel Callon, Franklin College (1056-E5-1979) Dave Kung, St. Mary’s College, 8:20AM Engaging math majors in education research. Maryland  (599) Diana White, University of Colorado Denver (1056-E5-1708) 8:00AM A First Year Seminar on Exploring Data for Social  (586) Change. Preliminary report. 8:40AM Enriching the education of mathematics majors Maria G Fung, Worcester State College  (600) with career seminars, undergraduate student (1056-H7-2081) research, and student events at MAA sectional Preliminary report. 8:20AM Teaching Mathematics and Democracy. Preliminary meetings.  (587) report. Katarzyna Potocka, Ramapo College of New Jersey (1056-E5-561) Maura Mast, University of Massachusetts Boston (1056-H7-1989) 9:00AM Combining Mathematics History with a Greece  (601) Preliminary report. 8:40AM Gender Inequity in the National Merit Scholarship Tour. , Longwood University  (588) Program. Sharon S. Emerson-Stonnell (1056-E5-573) Bryan Nankervis, Texas State University-San Marcos (1056-H7-940) 9:00AM Keeping the Doors Open: A Summer Algebra Camp  (589) for Under-represented Minority Middle School MAA Session on Mathematics Courses for the Liberal Students. Arts Students, I JBFink*andEDNordmoe, Kalamazoo College (1056-H7-300) 8:00 AM – 11:35 AM 9:20AM Changing Teachers’ Concept of Mathematics with Organizer: , Salem State College  (590) the Goal of Providing Equal Opportunity for All Reva Kasman Students to Succeed in Learning Algebra. 8:00AM Using CLA in the Classroom Performance Tasks for Judith M. Kysh*andDiane Resek, San Francisco  (602) Assessment in a Quantitative Reasoning Course. State University (1056-H7-991) Preliminary report. , Juniata College (1056-J1-1118) 9:40AM Creative Mathematics for All? A Survey of Gerald W. Kruse  (591) Preservice Teachers’ Attitudes about Students’ 8:20AM Egyptian Fractions. Preliminary report. Capabilities. Preliminary report.  (603) Bill Linderman, King College (1056-J1-1907) Deborah E Berg, University of Nebraska-Lincoln 8:40AM Ethnomathematics as an Interdisciplinary Outreach (1056-H7-1558)  (604) Course. 10:00AM Service Learning in Support of Financial Literacy. Darrah Chavey, Beloit College (1056-J1-1481)  (592) Andrew Miller, Belmont University (1056-H7-885) 9:00AM The Mystical Math Room. 10:20AM Mathematics as a Subversive Activity—Questioning  (605) Mairead K Greene, Rockhurst University  (593) Authority and Promoting Independent Thinking. (1056-J1-2040) Jack Bookman, Duke University (1056-H7-486) 9:20AM The Mathematics of Powered Flight. The airplane 10:40AM Math and Social Issues. Preliminary report.  (606) course revisited.  (594) Mouchumi Bhattacharyya, Christopher Goff and George Rublein, College of William and Mary Larry J Langley*, University of the Pacific (1056-J1-1756) (1056-H7-1696) 9:40AM How to Include More of the Arts in Mathematics for 11:00AM Social justice in the classroom through real-world (607) Liberal Arts. (595) examples. Julian F Fleron*, Volker Ecke, Christine von Lily S. Khadjavi, Loyola Marymount University Renessee and Philip K Hotchkiss, Westfield State (1056-H7-1450) College (1056-J1-2008)

JANUARY 2010 NOTICES OF THE AMS 139 Program of the Sessions – Thursday, January 14 (cont’d.)

10:00AM The Whole Truth about Whole Numbers. Preliminary 8:40AM Classroom Voting: Using Students’ Responses to  (608) report.  (623) Write Better Questions. Agnes M Rash, Saint Joseph’s University, M. McGivney-Burelle Jean,UniversityofHartford Philadelphia, PA (1056-J1-1584) (1056-E1-1619) 10:20AM Liberal Arts Math—An Activity Based Class. 9:00AM Utilizing Personal Response Systems (Clickers) in (609) Ann C Hanson, Columbia College Chicago  (624) Liberal Arts Mathematics Courses to Support a (1056-J1-1618) Lecture Format. Preliminary report. 10:40AM Borrowing literary structures for mathematics Janet A White, Millersville University of PA  (610) lessons. Preliminary report. (1056-E1-1348) Teresa E. Moore*, Ithaca College, and L. Christine 9:20AM Using Clickers in a Refocused College Algebra Kinsey, Canisius College (1056-J1-1630) (625) Course—Part I. 11:00AM Geometry and Renaissance Paintings. Erick B Hofacker*andKay Shager,Universityof  (611) Daniel F Pinzon, University of Arkansas at Fort Wisconsin - River Falls (1056-E1-1985) Smith (1056-J1-2055) 9:40AM Preservice Elementary Teachers’ Perceptions of 11:20AM Applications of Mathematics: Using Multi-Media  (626) Clicker Use in their College Mathematics Course.  (612) Curriculum to Teach Mathematics to Liberal Arts Travis K Miller, Millersville University of Majors. Preliminary report. Pennsylvania (1056-E1-682) Barbara L Hess, California University of 10:00AM Using Classroom Response Systems in Pennsylvania (1056-J1-964)  (627) Mathematics to Facilitate Discourse, Reasoning, and Representations in the Development of Mathematical Content Teacher Knowledge. MAA Session on Using Computer Algebra Systems in Sherrie J Serros*, University of Wisconsin - Eau the Calculus Sequence Claire, Kathryn T Ernie and Erick B Hofacker, University of Wisconsin - River Falls (1056-E1-2009) 8:00 AM –10:35AM 10:20AM Using Classroom Voting to Address Students’  (628) Organizer: William Marion, Valparaiso University Probability Misconceptions. Tami K. Dashley, University of Texas at El Paso 8:00AM Related Rates. (1056-E1-618)  (613) Leon Brin, Southern CT State University (1056-R1-880) 10:40AM A randomized experiment exploring features of (629) clicker use and their impact on undergraduate 8:20AM Interactive Chaos Mathlets for Calculus I. students’ engagement and learning in statistics.  (614) Preliminary report. Herle M. McGowan*, North Carolina State , Gordon College Karl-Dieter Crisman University, Brenda K. Gunderson and Vijay N. Nair, (1056-R1-1288) University of Michigan (1056-E1-414) 8:40AM Exploratory Labs in Multivariable Calculus. 11:00AM Classroom voting in an introductory real analysis  (615) Preliminary report. (630) course. , Bellarmine University William E Fenton L Pedro Poitevin, Salem State College (1056-R1-1382) (1056-E1-1053) 9:00AM Why do we need intervals for the First Derivative 11:20AM Clicker examples versus board examples in  (616) Preliminary report. Test?  (631) Calculus: how are they different? , Valparaiso University (1056-R1-317) Daniel Maxin Kim Roth*, Juniata College, and Lynn Cockett, 9:20AM Gabriel’s Other Equipment. Preliminary report. Juniata College, Communications Department  (617) Melvin G. Royer, Indiana Wesleyan University (1056-E1-1759) (1056-R1-255) 11:40AM Using Clickers in Advanced Undergraduate 9:40AM Exploring Velocity and Acceleration Vectors  (632) Mathematics Courses.  (618) Visually. Preliminary report. Patti Frazer Lock, St. Lawrence University Paul E. Seeburger, Monroe Community College (1056-E1-1248) (1056-R1-1779) 10:00AM In search of the big bubble.  (619) Andrew J Simoson, King College (1056-R1-410) SIAM Minisymposium on High School Outreach to 10:20AM Illustrating Gradients. Introduce Students to Applied Mathematics  (620) Robert P. Webber, Longwood University (1056-R1-488) 8:00 AM –10:55AM Organizer: Peter Turner, Clarkson University MAA Session on Engaging Students with Classroom 8:00AM Applied Mathematics for High School Outreach. Voting  (633) Peter R Turner, Clarkson University (1056-97-386) 8:35AM Soap and Slope: Exploration of gradients through 8:00 AM – 11:55 AM  (634) hands-on experiments with surfactants (outreach module for grades 7-12). Organizers: Derek Bruff, Venderbilt University Rachel Levy, Harvey Mudd College (1056-97-840) Kien Lim, University of Texas at El 9:25AM Paso Probability and Determinism at the Battle of  (635) Trafalgar. Kelly Cline, Carroll College Daniel J Teague, NC School of Science and 8:00AM Use of Classroom Voting In Liberal Arts College Mathematics (1056-97-606)  (621) Classes (Small and Large). Preliminary report. 10:10AM K-12 Outreach with Integrated Math and Physics for Ron Buckmire, Occidental College (1056-E1-279) (636) Roller Coaster Design. 8:20AM Clickers in the Classroom. Kathleen R Fowler*, Peter Turner, David Wick  (622) Kimberly Jordan Burch, Indiana University of and Michael Ramsdell, Clarkson University Pennsylvania (1056-E1-268) (1056-97-871)

140 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

MAA-Project NExT Panel Discussion MAA Committee on the Participation of Women/Women in Mathematics Network Poster 8:00 AM –9:15AM Session Teaching calculus to students who have had AP calc: Challenges and solutions. 9:00 AM – 11:00 AM Organizers: Timothy P. Chartier, Davidson College Mathematical outreach programs for Stephanie Salomone,Universityof underrepresented populations. Portland Organizer: Elizabeth G. Yanik,EmporiaState Panelists: Michael E. Boardman,Pacific University University David M. Bressoud, Macalester College AMS Special Presentation , Davidson College Stephen L. Davis 9:30 AM – 11:00 AM Deborah Hughes-Hallett,Universityof Arizona Who Wants to Be a Mathematician—National Contest. Francis E. Su, Harvey Mudd College Organizers: Michael A. Breen,AMS Employment Center William T. Butterworth,DePaul University 8:00 AM –7:00PM

MAA Invited Address MAA-Project NExT Panel Discussion

9:00 AM –9:50AM 9:30 AM –10:50AM (637) Reasonable effectiveness: Trigonometry, ancient How one can become a referee/reviewer. astronomy, and the birth of applied mathematics. Organizers: Joseph A. Gallian,Universityof Glen Van Brummelen, Quest University Minnesota-Duluth (1056-A0-2) Aparna W. Higgins,Universityof Dayton MAA Minicourse #10: Part A T. Christine Stevens, Saint Louis University 9:00 AM – 11:00 AM Panelists: Matthias Beck, San Francisco State The hitchhiker’s guide to mathematics. University Organizers: , American University Dan Kalman Frederick Hoffman, Florida Atlantic Bruce F. Torrence, Randolph Macon University College , Dartmouth College Student Hospitality Center Brigitte Servatius,Worcester Polytechnic Institute 9:00 AM –5:00PM

MAA Committee on Technology in Mathematics Exhibits and Book Sales Education Panel Discussion 9:30 AM –5:30PM

9:00 AM –10:20AM Online articles from JOMA to Loci. MAA Invited Paper Session on Gems of Number Organizers: Thomas E. Leathrum, Jacksonville Theory State University 10:00 AM – 11:55 AM Lawrence Moore, Duke University Panelists: Nathaniel Miller,Universityof Organizers: Thomas Koshy, Framingham Northern Colorado University Kady Schneiter, Utah State University Shannon Lockard, Bridgewater State Lee Stemkoski, Adelphi University College 10:00AM Ramanujan Reaches His Hand from His Grave to MAA Session for Department Chairs  (638) Snatch Your Theorems From You. Bruce C Berndt, University of Illinois (1056-BB-530) 9:00 AM –10:20AM 10:30AM Combinatorial Proofs of Congruences. (639) , Brandeis University (1056-BB-632) Assessment of student learning outcomes: Ira M. Gessel Opportunity and challenge. 11:00AM Counting points on elliptic curves, from Gauss to  (640) Organizers: Daniel P. Maki, Indiana University the present. Alice Silverberg, University of California, Irvine Catherine M. Murphy,Purdue (1056-BB-607) University Calumet 11:30AM Panelists: ,OklahomaCity Sage: Creating a Viable Free Open Source Jay A. Malmstrom  (641) Community College Alternative to Magma, Maple, and Mathematica for Number Theory. Catherine M. Murphy William A Stein, University of Washington Nalsey B. Tinberg, Occidental College (1056-BB-510)

JANUARY 2010 NOTICES OF THE AMS 141 Program of the Sessions – Thursday, January 14 (cont’d.)

AMS Session on Probability and Statistics, III Cheryl Beaver, Western Oregon University 10:00 AM – 11:55 PM Klay Thomas Kruczek,Western Oregon University 10:00AM Coherent risk measure for multivariate Pareto (642) distributed losses. Preliminary report. Li Zhu*andHaijun Li, Washington State University SIGMAA Officers Meeting (1056-62-2147) 10:15AM Spatial Birth-Death-Swap Chains. 10:30 AM – NOON (643) Mark L Huber, Claremont McKenna College (1056-60-1068) MAA-YMN Panel Discussion 10:30AM A Stochastic Approach to the Bonus-Malus System.  (644) Preliminary report. 10:40 AM – NOON Kumer Pial Das, Lamar University (1056-60-980) 10:45AM Proper quantization of multiplexer circuits, history Graduate school: Choosing one, getting in, staying (645) dependent Parrondo games, and certain Markov in. processes. Organizers: Kristi Meyer, Wisconsin Lutheran Steven A. Bleiler and Faisal Shah Khan*, Portland College State University (1056-81-766) Aaron Luttman, Clarkson University 11:00AM Quantum Walks with Decoherence on the N-Cycle. Panelists: Richard McGehee,Universityof (646) Preliminary report. Minnesota *and ,BowieState Chaobin Liu Nelson Petulante , Colby College University (1056-81-968) Scott A. Lambert 11:15AM Computing a Penalized Maximum Quasi-Likelihood (647) Estimator of the Diffusion Coefficient. MAA Workshop Jeff Hamrick*, Rhodes College, Yifei Huang, Kostas Kardaras and Murad S Taqqu,Boston 10:40 AM – NOON University (1056-62-1452) Proposal writing workshop for grant applications to 11:30AM Underrecording in Domestic Violence Data Using the NSF Division of Undergraduate Education.  (648) Count Data Regression Models. Organizers: Dennis E. Davenport,NSF/DUE Mavis Pararai, Indiana University of Pennsylvania (1056-62-1848) Daniel P. Maki,NSF/DUE Lee L. Zia,NSF/DUE 11:45AM Statistical Sampling in High Dimensional Inverse (649) Problems. Jean Marie Linhart*andWolfgang Bangerth, SIAM Invited Address Texas A&M University (1056-62-1851) 11:10 AM – NOON AMS-ASL-MAA Panel Discussion (651) Optimization Inside: The use of mathematical 10:00 AM – NOON methods in business processes. Brenda Dietrich, IBM (1056-90-33) Hilbert’s Tenth Problem. Organizers: Jeremy Avigad, Carnegie Mellon AMS Colloquium Lectures: Lecture II University

Penelope Maddy,Universityof 1:00 PM –2:00PM California Irvine (652) Alternating permutations. Charles Steinhorn, Vassar College Richard P. Stanley, M.I.T. (1056-05-17) AWM Emmy Noether Lecture AMS Special Session on Nonlinear Hyperbolic 10:05 AM –10:55AM Equations and Control Systems in Physics and (650) You can’t hear the shape of a manifold. Engineering, I Carolyn S. Gordon, Dartmouth College (1056-58-49) 1:00 PM –3:50PM Organizers: Petronela Radu,Universityof MAA Minicourse #1: Part A Nebraska-Lincoln Daniel Toundykov,Universityof 10:30 AM – 12:30 PM Nebraska-Lincoln Remodeling data analysis. 1:00PM Well-posedness of weak and strong solutions in (653) Organizers: Daniel Kaplan, Macalester College nonlinear flow of gas and structure interactions. , University of Virginia , Macalester College Irena Lasiecka Vittorio Addona (1056-35-960) 1:30PM MAA Minicourse #5: Part A Boundary regularity for Maxwell’s equation with (654) applications to shape optimization. , Georgetown University 10:30 AM – 12:30 PM Matthias Eller (1056-35-640) Active learning approaches for the foundational 2:00PM Stability and stabilization of a multilayer beam mathematics for elementary teachers courses. (655) system. Organizers: Laurie J. Burton, Western Oregon Scott W. Hansen, Iowa State University University (1056-93-675)

142 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

2:30PM Bolza boundary control problem for a 3:30PM Weakly regular and self-injective Leavitt path (656) fluid-structure interaction model. (669) algebras. Irena Lasiecka, University of Virginia, and Amjad Gonzalo Aranda Pino*, University of M´alaga, Spain, Tuffaha*, University of Southern California Kulumani Rangaswamy, University of Colorado at (1056-35-1327) Colorado Springs, and Mercedes Siles Molina, ´ 3:00PM L1 Well Posedness of Euler Equations With Dynamic University of Malaga, Spain (1056-16-339) (657) Phase Boundaries. Chunguang Chen*andHarumi Hattori,West Virginia University (1056-35-403) AMS Special Session on Algebraic Methods in Signal 3:30PM Boundary stabilization of nonlinear structural Processing, II (658) acoustic interactions with interface on a Reissner-Mindlin plate. 1:00 PM –3:40PM and *, University George Avalos Daniel Toundykov Organizers: Shamgar Gurevich,Universityof of Nebraska-Lincoln (1056-35-1089) California Berkeley Ronny Hadani, University of Chicago AMS Special Session on Degenerate and Singular Olga Holtz, University of California Berkeley and Technical University Elliptic Partial Differential Equations, II Berlin

1:00 PM –3:50PM Oded Schwartz, Technical University Berlin Organizers: , North Dakota State Marian Bocea , Tel Aviv University University Nir Sochen 1:00PM , North Dakota State Algebraic Constructions for Communication Cristina Popovici (670) University Sequences. Solomon W Golomb,UniversityofSouthern 1:00PM ∆∞ is well defined—a new proof. California (1056-00-1867) (659) , Loyola University Chicago Robert R Jensen 1:30PM (1056-35-837) Multilinear Algebra in Signal Processing. (671) Lek-Heng Lim, University of California, Berkeley 1:30PM Studying the infinity Laplace equation via a finite (1056-15-1823) (660) difference approximation. 2:00PM , Louisiana State University Group representation patterns in digital signal Scott N Armstrong (672) (1056-35-1575) processing. Ronny Hadani*, Utexas at Austin, Shamgar 2:00PM Numerical methods for the infinity Laplace Gurevich,IAS,andNir Sochen (1056-42-1758) (661) equation. 2:30PM , University of California, Berkeley Spectral Methods and Semidefinite Programming Charles K Smart  (673) (1056-35-1626) for Cryo-EM, NMR Spectroscopy, Low-Rank Matrix Completion and Computer Vision. 2 2:30PM AremarkonC infinity harmonic functions. Amit Singer, Princeton University and PACM (662) Yifeng Yu, University of California at Irvine (1056-00-1037) (1056-35-2005) 3:00PM Group theoretical aspects of Gabor Analysis. 3:00PM Limits as p(x) →∞of p(x)-harmonic functions.  (674) Preliminary report. (663) Jose Miguel Urbano, University of Coimbra Hans G. Feichtinger, University of Vienna (1056-35-1228) (1056-43-1059) ∞ 3:30PM Homogenization in L . Preliminary report. (664) Changyou Wang,UniversityofKentucky (1056-35-1031) AMS Special Session on Representation Theory and Nonassociative Algebras, I

AMS Special Session on Graph Algebras in Analysis 1:00 PM –4:20PM and Algebra, II Organizer: Andrew Douglas, City University of New York 1:00 PM –3:50PM 1:00PM The quasi-jordan algebras. Preliminary report. Organizers: Gene Abrams, University of Colorado  (675) Raul Felipe, CIMAT (1056-17-672) at Colorado Springs 1:30PM Special identities for quasi-Jordan algebras. Mark Tomforde, University of Houston  (676) Murray R Bremner*, University of Saskatchewan, ∗ 1:00PM Structure theory for k-graph C -algebras. Canada, and Luiz A Peresi, University of Sao Paulo,  (665) Aidan Sims, University of Wollongong Brazil (1056-17-229) (1056-46-515) 2:00PM Lie-Yamaguti algebras and related structures. 2:00PM Desingularization technique for higher-rank (677) Preliminary report. (666) graphs. Pilar Benito,UniversidaddeLaRioja Cynthia Farthing, Creighton University (1056-17-1147) (1056-46-911) 2:30PM Locally Nilpotency in Commutative Right ∗ 2:30PM Labeled Graph C -algebras with Group Actions. (678) Nilalgebras. (667) Teresa Bates, University of New South Wales, David Alicia Labra, Universidad de Chile (1056-17-489) Pask, University of Wollongong, and Paulette N. 3:00PM Special Bol Identities. Preliminary report. Willis*, The University of Iowa (1056-47-1062)  (679) Murray Bremner, University of Saskatchewan, Ivan 3:00PM The role of the socle in the classification of Leavitt Correa, Universidad Metropolitana of Santiago,  (668) path algebras. Chile, Irvin Hentzel*, Iowa State University, and Mercedes Siles Molina, University of Malaga Luiz Peresi, Universidade de Sao Paulo, Brazil (Spain) (1056-16-1023) (1056-17-1172)

JANUARY 2010 NOTICES OF THE AMS 143 Program of the Sessions – Thursday, January 14 (cont’d.)

3:30PM Gradings on exceptional Lie superalgebras. 2:30PM Selecting Diverse Committees. (680) Cristina Draper*, Universidad de M´alaga (Spain), (691) Thomas C. Ratliff*, Wheaton College, and Alberto Elduque, Universidad de Zaragoza (Spain), Donald G. Saari, University of California, Irvine and C´andido Mart´ın,UniversidaddeM´alaga (Spain) (1056-91-1533) (1056-17-1130) 3:00PM Approval Balloting for Multi-Winner Elections. 4:00PM Group gradings on Lie algebras in positive  (692) D. Marc Kilgour, Wilfrid Laurier University (681) characteristic. (1056-91-710) Mikhail V Kotchetov, Memorial University of 3:30PM Satisfaction Approval Voting. Newfoundland (1056-17-1333) (693) Steven J. Brams*, New York University, and D. Marc Kilgour, Wilfrid Laurier University (1056-91-752) AMS Special Session on Use of Technology in Modern Complex Analysis Research, I AMS Special Session on Analysis and Control Under Uncertainty, II 1:00 PM –3:50PM 1:00 PM –3:20PM Organizers: Beth Schaubroeck,U.S.AirForce Academy Organizers: Xioaming Wang,FloridaState University Michael Dorff, Brigham Young University Yanzhao Cao, Auburn University James Rolf,U.S.AirForceAcademy Catalin Trenchea,Universityof Pittsburgh 1:00PM Applets to Explore Research Topics in Complex  (682) Variables. Preliminary report. 1:00PM Balancing a dissipative linear SDE with uncertain James S Rolf*, United States Air Force Academy, (694) parameters. and Michael Dorff, Brigham Young University Sundeep Samson*andJames A Reneke,Clemson (1056-30-1625) University (1056-90-597) 1:30PM Research in Complex Dynamics using Java Applets. 1:30PM Frequency-Domain Criteria for Robust Stability for  (683) Rich L Stankewitz, Ball State University (695) a Class of Linear Time-Periodic Systems. (1056-30-1048) Dmitry Altshuller, Crane Aerospace & Electronics (1056-34-720) 2:00PM Julia Sets and Graphing Iterates of Quadratic  (684) Polynomials. Preliminary report. 2:00PM Coderivatives in Parametric Optimization in Julia A Barnes*, Western Carolina University, (696) Asplund Spaces. Clinton Curry, Stony Brook University, and Yen-Nhi Nguyen-thi*, Boris Mordukhovich,Wayne Beth Schaubroeck,U.S.AirForceAcademy State University, and Nam Mau Nguyen,The (1056-37-1685) University of Texas-Pan American (1056-49-1335) 2:30PM 2:30PM Modeling Fluid Flow in the Complex Plane. Weighted Composition Operators on Bergman  (685) Michael A. Brilleslyper,U.S.AirForceAcademy (697) Spaces in the Unit Ball. (1056-30-1352) Waleed Khaled Al-Rawashdeh, Central Michigan University (1056-47-1417) 3:00PM Experimental Complex Function Theory via Circle  (686) Packing. Preliminary report. 3:00PM Gibbs measure and the quantization dimension Ken Stephenson, University of Tennessee, (698) function. Knoxville (1056-30-1968) Mrinal Kanti Roychowdhury,TheUniversityof Texas-Pan American (1056-37-656) 3:30PM Use of computer technology for insight and proof. (687) Roger W. Barnard, Texas Tech University. (1056-30-810) AMS Special Session on Applications of Time Scales to Biology, Economics, and Engineering, II

AMS Special Session on Voting Theory, II 1:00 PM –4:20PM

1:00 PM –3:50PM Organizers: Martin Bohner, Missouri University of Science and Technology Organizers: Michael Jones,MathematicalReviews Billur Kaymakcalan, Georgia Southern Brian Hopkins, Saint Peter’s College University-Statesboro Tommy Ratliff, Wheaton College Allan Peterson,Universityof 1:00PM On the ordinal equivalence of power indices. Nebraska-Lincoln  (688) Josep Freixas*, Xavier Molinero, Montserrat 1:00PM Lyapunov-Based Methods for Designing Stable Pons, Technical University of Catalonia (Campus (699) Switched Systems. Preliminary report. Manresa), and Dorota Marciniak, Polish Academy John M Davis, Baylor University (1056-93-1258) of Sciences and National Institute of 1:30PM Telecommunications (1056-91-1202) An exploration of the numerical approximations of (700) dynamic derivatives for adaptive computations. 1:30PM A Smallest Not Realizable by Preliminary report.  (689) 2 Qin Sheng*andAnzhong Wang, Baylor University 3 -Majority Voting, and Some Open Problems in Spatial Voting Theory. (1056-65-545) Craig A. Tovey*, Georgia Institute of Technology, 2:00PM Global Stability of Complex-Valued Neural Networks and Dylan Shepardson, Mt. Holyoke College  (701) on Time Scales. (1056-91-2025) Suman Sanyal, Marshall University (1056-60-1167) 2:00PM The agreement number of tree societies. 2:30PM Linear and nonlinear cobweb models on time scales. (690) Sarah Fletcher, Georgia Institute of Technology, (702) Julius Heim*andMartin Bohner, Missouri Christopher S. Hardin,UnionCollege,andFrancis University of Science and Technology Edward Su*, Harvey Mudd College (1056-52-1416) (1056-00-1928)

144 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

3:00PM Probability on time scales. 2:00PM The Development of Pedagogical Content (703) Thomas Matthews*andDr. Martin J. Bohner, (714) Knowledge about Early Algebra: A Comparative Missouri University of Science and Technology Study. Preliminary report. (1056-00-1370) Bill Jacob*, Sarah Hough, Kyunghee Moon and , University of California, Santa 3:30PM Asymptotic Behavior of Linear Dynamic Systems on Monica Guzman  (704) Time Scales. Preliminary report. Barbara (1056-BC-1427) Gro Hovhannisyan, Kent State University 2:30PM A comparison of Inquiry-Based Learning at the (1056-34-405)  (715) Undergraduate and Secondary Levels. Preliminary report. 4:00PM On second order nonoscillatory scalar linear , Washington-Lee High School;  (705) dynamic equations on time scales. Preliminary Stephanie R Nichols report. Arlington, VA (1056-BC-1693) Sigrun Bodine*, University of Puget Sound, and D. 3:00PM Inquiry Based Learning at Chicago. Preliminary A. Lutz, San Diego State University (1056-34-1721)  (716) report. Paul J Sally, University of Chicago (1056-BC-826) 3:30PM Panel Session: Guided Discovery Learning.  (717) Preliminary report. AMS Special Session on Arithmetic Geometry, II Michael Starbird*, The University of Texas at Austin, and William Barker, Bowdoin College 1:00 PM –3:50PM (1056-BC-1356) Organizers: Bo-Hae Im, Chung-Ang University Jennifer Johnson-Leung,Universityof MAA Minicourse #2: Part A Idaho 1:00 PM –3:00PM Jennifer Paulhus, Kansas State University Using GeoGebra to create activities and applets for 1:00PM Non-optimal levels of reducible two-dimensional and exploration. (706) mod  representations of the Galois group of Q. Organizer: Michael K. May, Saint Louis University Kenneth A. Ribet, University of California, Berkeley (1056-11-1219) MAA Minicourse #9: Part A 1:30PM Reduction of crystalline representations and (707) generalized Serre weights. 1:00 PM –3:00PM Hui June Zhu, SUNY at Buffalo (1056-11-1237) 2:00PM Mod 7 and 7-adic Galois representations of elliptic Getting students involved in undergraduate (708) curves. research. Ralph Greenberg, University of Washington, Karl Organizers: Aparna W. Higgins,Universityof Rubin and Alice Silverberg*, University of Dayton California, Irvine (1056-11-1004) Joseph A. Gallian,Universityof 2:30PM A formula for the special L-value of a modular Minnesota Duluth (709) abelian variety. Amod Agashe, Florida State University (1056-11-1109) AMS Session on Number Theory, II 3:00PM Siegel modular forms of degree two attached to 1:00 PM –3:55PM (710) Hilbert modular forms. Jennifer Johnson-Leung*andBrooks Roberts, 1:00PM Solutions to xyz = x + y + z =1in algebraic University of Idaho (1056-11-1111) (718) integers of bounded degrees. Preliminary report. 3:30PM The Gauss higher relative class number problem. Helen G Grundman, Bryn Mawr College (711) John Voight, University of Vermont (1056-11-346) (1056-11-823) 1:15PM An elementary Proof of a Ramanujan’s Congruence  (719) Identity. Syrous Marivani, LSUA (1056-11-844) MAA-AMS-MER Invited Paper Session on Mathematics 1:30PM Explicit construction of integral bases of radical andEducationReform,I:GuidedDiscoveryLearning  (720) function fields. Qingquan Wu*andRenate Scheidler,Universityof 1:00 PM –3:50PM Calgary (1056-11-858) 1:45PM Organizers: , Bowdoin College Flat Cyclotomic Polynomials: A New Approach. William H. Barker (721) Sam Elder, California Institute of Technology William G. McCallum,Universityof (1056-11-936) Arizona 2:00PM Bounds on the order function of certain p-adic Bonnie S. Saunders,Universityof (722) numbers. Illinois at Chicago Brian C. Dietel, Oregon State University Michael Starbird,UniversityofTexas (1056-11-939) at Austin 2:15PM Break 1:00PM The Power of Guided Discovery Analysis. 2:30PM The number of nonzero binomial coefficients  (712) Preliminary report.  (723) modulo pα. William Barker, Bowdoin College (1056-BC-1121) Eric S. Rowland, Tulane University (1056-11-956) 1:30PM Guided Discovery: Matters Mathematical and 2:45PM On the density of discriminants of abelian (713) Beyond. Preliminary report. (724) extensions of a number field. Michael Starbird, The University of Texas at Austin Behailu Mammo, Hofstra University (1056-BC-1250) (1056-11-1035)

JANUARY 2010 NOTICES OF THE AMS 145 Program of the Sessions – Thursday, January 14 (cont’d.)

3:00PM The Erdos-Moser equation 3:15PM Development of a Model of Erythropoiesis in  (725) 1n +2n + ···+(m − 1)n = mn, related congruences,  (738) Patients with Chronic Kidney Disease. and primary pseudoperfect numbers. Karen Bliss*, HTTran, North Carolina State Jonathan Sondow*, New York, NY, and Kieren University, HTBanks, North Carolina State MacMillan, Toronto, Ontario (1056-11-1047) University, and Peter Kotanko, Renal Research Institute, New York (1056-92-1583) 3:15PM Prime Tuples. (726) David C. Torney, Round Ideas Institute 3:30PM Asymptotic formulas for the equilibria in a model of (1056-11-1056)  (739) suppression of pest resistance to insecticidal 3:30PM On the Structure of Witt-Burnside rings over pro-p genetically modified crops. , Michigan Technological (727) groups. Prasanth George University, and *, University at Lance Edward Miller, University of Connecticut John Ringland (1056-11-1154) Buffalo (1056-92-1649) 3:45PM 3:45PM Tetranomial Thue Equations. Preliminary report. Biological Neronal Networks on Nvidia Cuda  (740) Preliminary report. (728) Daniel P. Wisniewski, Bryn Mawr College Graphics Processors. (1056-11-1169) Joseph A. Rhoads*, Florida State University, Richard Bertram, Florida State University, Joel Tabak, Florida State University, Department of Biology, Michael Mascagni, Florida State University, Department of Computer Science, and Gordon Erlebacher, Florida State University, Department of Scientific Computing (1056-92-1667) AMS Session on Biomathematics, II 4:00PM An integrated muscle mechanic-fluid dynamic (741) model of lamprey swimming. 1:00 PM –4:10PM Chia Yu Hsu*, Center for Computational Science, Dept. of Math. Tulane University, Eric Tytell, Dept. 1:00PM Synchronous versus Asynchronous Oscillations for of Biology, Univ. of Maryland, College Park, and (729) Plasmodium falciparum an Antigenically Varying Lisa Fauci, Tulane University (1056-76-1105) Infection with Host Immune Response. Preliminary report. Jonathan L Mitchell, Southern Methodist University (1056-92-1215) 1:15PM Evolutionary dynamics on undirected graphs—the  (730) effect of graph structure and initial placement on AMS Session on Differential and Difference mutant spread. Jan Rychtar, University of North Carolina at Equations, II Greensboro (1056-92-1240) 1:00 PM –4:10PM 1:30PM Combining immunological and epidemiological (731) models. Preliminary report. 1:00PM On the symmetry and existence of solutions of some Laurentiu Mircea Sega*, Purdue University, and (742) floatingdropproblems. Fabio Augusto Milner, Arizona State University Ray Treinen, Kansas State University (1056-92-1295) (1056-35-1233) 1:45PM Outbreak control through voluntary first-order and 1:15PM Scattering Due to a Medium Density Change. (732) second-order ring vaccination. Preliminary report. (743) Preliminary report. Michel Tchuenche*, University of Guelph, A. P. Nezam Iraniparast, Western Kentucky University Galvani, Yale University School of Medicine, L. (1056-35-1300) ,TheUniversityofTexasat Ancel-Meyers 1:30PM Fundamental solutions of the wave equation in the Austin, and , University of Guelph Chris Bauch (744) Einstein-de Sitter spacetime. (1056-92-1411) Anahit Galstyan*, University of Texas-Pan 2:00PM A moment closure method for stochastic American, Tamotu Kinoshita,Universityof (733) biochemical networks. Tsukuba, Tsukuba, Japan, and Karen Yagdjian, ChangHyeongLee, Ulsan National Institute of University of Texas-Pan American (1056-35-1337) Science and Technology (UNIST) (1056-92-1412) 1:45PM Corrector analysis for homogenization of stationary 2:15PM Simulation of flagellar motion near a rigid surface. (745) linear transport equations in random media.  (734) Ricardo Ortiz*, Center for Computational Science Guillaume Bal and Wenjia Jing*, Columbia at Tulane University, and Ricardo Cortez,Tulane University (1056-35-1388) University (1056-76-1493) 2:00PM The 2D Boussinesq Equations with vertical viscosity 2:30PM A Statistical Method for Environmental Prediction in (746) and vertical diffusivity. Preliminary report.  (735) Metagenomic Samples. Preliminary report. Dhanapati Adhikari*, Oklahoma State University, Katherine Isaacs, San Jose State University Chongsheng Cao, Florida International University, (1056-92-1415) and Jiahong Wu, Oklahoma State University (1056-35-1390) 2:45PM Estimating Vital Coral Population Parameters.  (736) Preliminary report. 2:15PM Optimality Conditions for Control Systems of Kristie Llera*, Florida Institute of Technology, and (747) Neutral Type. Elif Demirci, University of Ankara (1056-92-1567) Lianwen Wang, University of Central Missouri (1056-93-1006) 3:00PM A Systems Biology Approach to Modeling  (737) Alzheimer’s Disease. Preliminary report. 2:30PM Mechanisms of the Instabilities of Ideal Diffusion Christina Rose Kyrtsos*, Fischel Dept. of (748) Flames. Bioengineering, University of Maryland, and John S Joseph E Hibdon, Jr*, Northwestern University, Baras, Professor, A James Clark School of and Moshe Matalon, University of Illinios Engineering, University of Maryland (1056-92-1570) Urbana-Champaign (1056-35-1442)

146 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

2:45PM An Analytical and Numerical Study of Optical 2:30PM On the Convergence of Fully-discrete  (749) Soliton Propagation through Photorefractive Media (761) High-Resolution Schemes with van Leer’s flux governed by Logarithmic Law Nonlinearity. limiter for Conservation laws. Preliminary report. Dawn A. Lott*, Delaware State University, Auris Nan Jiang, University of South Dakota Henriquez-Fernandez, University of Puerto Rico, (1056-65-554) Rio Piedras, PR, , Michigan State Bryan Moore 2:45PM The Domain Decomposition Method Applied to University, ,Universityof Benjamin Sturdevant  (762) Hyperbolic Network Problems. Wisconsin, Madison, and Anjan Biswas, Delaware James B Collins, North Carolina State University State University (1056-35-1559) (1056-65-796) 3:00PM On the solution of the coupled Navier-Stokes and 3:00PM Kernel Based Function Approximation in High  (750) Darcy equations. (763) Dimensions. Prince Chidyagwai*andBeatrice Riviere,Rice Fred J. Hickernell, Illinois Institute of Technology University (1056-35-1576) (1056-65-845) 3:15PM Sub-Wavelength Plasmonic Crystals: Dispersion 3:15PM Analysis and simulation of a multiphysics and a (751) Relations and Effective Properties. (764) multiphase problem. Santiago P. Fortes*, Robert P. Lipton and Aycil Cesmelioglu, Rice University (1056-65-925) Stephen P. Shipman, Louisiana State University 3:30PM (1056-35-1579) Retrieving Economic Parameters in Asset-Flow (765) Equations. 3:30PM Multiple positive solutions for a class of Marlene Willie-Aymone Ouayoro,GeorgeMason (752) p-q-Laplacian systems with multiple parameters University (1056-65-951) and combined nonlinear effects. 3:45PM *, Florida Gulf Coast University, and A comparison of algorithms for subset selection. Jaffar Ali  (766) Preliminary report. , Mississippi State University Ratnasingham Shivaji *, University of California - Berkeley, (1056-35-1615) Martin Brown Mary Broadbent,AmherstCollege,andKevin 3:45PM The blowup for the semilinear Klein-Gordon Penner, University of Pittsburgh (1056-65-986) (753) equation in de Sitter spacetime. 4:00PM , University of Texas-Pan American A High Accuracy Algorithm for 3D Periodic Karen Yagdjian (767) (1056-35-1628) Electromagnetic Scattering. Michael J Nicholas, Tulane University 4:00PM Lyapunov Functionals vs Lyapunov Functions in (1056-78-1760) (754) Stability Analysis for Stochastic Parabolic Differential Equations of Ito Type. Preliminary report. J Mahmoud Anabtawi, American University of Sharjah (1056-35-1681) AMS Session on Fields and Commutative Algebra

1:00 PM –4:10PM

1:00PM On the Irreducibility of Cauchy-Mirimanoff (768) Polynomials. Preliminary report. AMS Session on Computational Mathematics, I Brian C Irick, University of Tennessee (1056-12-271) 1:00 PM –4:10PM 1:15PM Forcing the appearance of Galois groups: new 1:00PM Numerical techniques for 3-D Vortex Rings Motion (769) automatic realization results for p-groups. (755) and Collision. Andrew C Schultz, University of Illinois, Leon Kaganovskiy*, New College of Florida, Urbana-Champaign (1056-12-850) Robert Krasny, University of Michigan, Ann Arbor, 1:30PM Observations on Primitive, Normal, and Subnormal and Feng Hualong, Nanjing University of Science (770) Elements of Field Extensions. and Technology (1056-65-30) Steven H. Weintraub, Lehigh Univ. (1056-12-257) 1:15PM Local Numerical Representation of Algebraic Sets. 1:45PM Prime Ideals in Birational Extensions of (756) Yun Guan*andJan Verschelde,Universityof (771) Two-Dimensional Power Series Rings. Illinois at Chicago (1056-65-123) Christina Eubanks-Turner*, University of 1:30PM Chemotaxis and Numerical Methods for Chemotaxis Louisiana at Lafayette, Melissa Luckas,Madison,  (757) Models. Wisconsin, and Serpil Saydam,Universityof Yekaterina Epshteyn, Carnegie Mellon University Louisiana at Monroe (1056-13-370) (1056-65-151) 2:00PM Irreducible Divisor Graphs. Preliminary report.  (772) , University of Saint Thomas, *, 1:45PM A stability study of a new explicit numerical scheme MAxtell NBaeth (758) for a system of differential equations with a large University of Central Missouri, and JStickles, skew-symmetric component. Milikin University (1056-13-655) Katharine F. Gurski*, Howard University, and 2:15PM Abstract Factorization into Relatively Prime Stephen O’Sullivan, Dublin City University (773) Elements. Preliminary report. (1056-65-504) Jeremiah N. Reinkoester,UniversityofIowa (1056-13-896) 2:00PM C0 interior penalty methods for fully nonlinear (759) Monge-Amp`ere type equations. 2:30PM Krull dimension of a power series ring over a Michael Joseph Neilan*, Susanne C. Brenner, (774) one-dimensional nondiscrete valuation domain. Thirupathi Gudi and Li-yeng Sung, Louisiana State Preliminary report. University (1056-65-518) Byung Gyun Kang*andToan,POSTECH (1056-13-1515) 2:15PM On the convergence of a generalized modified  (760) Newton scheme. Preliminary report. 2:45PM A general theory of almost splitting sets. Livinus U Uko, Johnson C. Smith University (775) Byung Gyun Kang and Jung Wook Lim*, POSTECH (1056-65-1280) (1056-13-1522)

JANUARY 2010 NOTICES OF THE AMS 147 Program of the Sessions – Thursday, January 14 (cont’d.)

3:00PM The Linear Strand of Path Ideals of Trees. MAA Session on Developmental Mathematics (776) Preliminary report. Education: Helping Under-Prepared Students Rachelle R. Bouchat*, Slippery Rock University, T`ai Transition to College-Level Mathematics, II H`a and Augustine O’Keefe, Tulane University (1056-13-1730) 1:00 PM –4:15PM 3:15PM Comparing the Sizes of the Lower Bass Numbers of Organizers: , Shippensburg (777) a Cohen Macaulay Local Ring. Preliminary report. Kimberly J. Presser University Jared L Painter, University of Texas at Arlington (1056-13-1830) J. Winston Crawley, Shippensburg University 3:30PM Characterizing rings which admit non-trivial totally (778) reflexive modules. Preliminary report. 1:00PM Transition Mathematics: A Professional Learning Kristen A Beck,TheUniversityofTexasat  (793) Community Approach. Arlington (1056-13-1984) Stuart Boersma*andAaron Montgomery,Central 3:45PM Building Indecomposable Modules. Preliminary Washington University (1056-D1-567) (779) report. 1:20PM How ideas from therapy can help developmental Andrew Crabbe, Syracuse University  (794) mathematics students with anxiety, motivation, and (1056-13-2054) performance: Successes from two pilot tests. 4:00PM On the Integral Closure of an Antimatter Domain. Preliminary report.  (780) William Travis Trentham, North Dakota State K. Scott Alberts*, Truman State University, and University (1056-13-1857) Jane Roads, Moberly Area Community College (1056-D1-602) 1:40PM An alternative to intermediate algebra for liberal AMS Session on Discrete Mathematics, III  (795) arts majors. Preliminary report. Jeffery D. Sykes, Ouachita Baptist University 1:00 PM –3:55PM (1056-D1-941) 1:00PM Enumeration Of Bipartite Graphs. 2:00PM Preparing students for Elementary Statistics or  (781) Shanzhen Gao, Florida Atlantic University  (796) Math for Liberal Arts. Preliminary report. (1056-05-715) Mary R Parker, Austin Community College (1056-D1-1821) 1:15PM Graphs in which each independent dominating set (782) intersects each minimum dominating set. 2:20PM A successful model for teaching developmental David R. Prier*andPeter D. Johnson, Auburn  (797) math at CSU-Monterey bay. University (1056-05-706) Lipika Deka, California State University, Monterey Bay (1056-D1-1332) 1:30PM C4-Factorizations with Two Associate Classes.  (783) Chris Rodger and Michael Tiemeyer*, Auburn 2:40PM Blending Inquiry-Based Class Sessions with University (1056-05-629)  (798) Computer-Assisted Instruction. Preliminary report. 1:45PM Deletion relations of graphs. Preliminary report. William O. Bond*andJohn C. Mayer,Universityof  (784) Stephen G Hartke, University of Nebraska-Lincoln, Alabama at Birmingham (1056-D1-1778) Hannah Kolb, Illinois Institute of Technology, 3:00PM The Quantitative Learning Center at UConn, and Jared Nishikawa, Willamette University, and  (799) the effects of online homework in the study habits Derrick Stolee*, University of Nebraska-Lincoln of students. Preliminary report. (1056-05-498) Alvaro´ Lozano-Robledo*andTom Roby, 2:00PM Star-Avoiding Ramsey Numbers. University of Connecticut - Storrs (1056-D1-1150) (785) Jonelle Hook, Lehigh University (1056-05-485) 3:20PM Developmental Mathematics Program Assessment: 2:15PM p-Capacity Zn and Zeta function.  (800) ACaseStudy.Preliminary report. (786) Lucio M. G. Prado, BMCC - The City University of Frank Anthony Cerreto, The Richard Stockton New York (1056-31-1798) College of NJ (1056-D1-1321) 2:30PM Promotion acting on Standard Young Tableaux of 3:40PM Proportional Reasoning Models in Developmental  (787) staircase shape. Preliminary report.  (801) Mathematics Education: Enhancing Under-Prepared Qiang Wang*andSteven Pon,UCDavis Students’ Transition at the College-Level. (1056-05-2141) Preliminary report. 2:45PM On extremal cycle-free subgraphs of the hypercube. Jack A Carter*, California State University East Bay, , Keene State College, and  (788) Lale Ozkahya¨ , University of Illinois at Beverly J Ferrucci Ngan Urbana-Champaign (1056-05-838) Hoe Lee, National Institute of Education, Singapore (1056-D1-224) 3:00PM Group Colorability of Graphs. 4:00PM (789) Hao Li, West Virginia University (1056-05-898) Transitions: Helping Under-Prepared Students Find  (802) Success at Dominican University. 3:15PM Oriented Incidence and a Generalization of Paul R. Coe, Dominican University (1056-D1-2061) (790) Hypergraphs. Lucas J. Rusnak, Binghamton University (1056-05-1465) 3:30PM Irreducible No-Hole L(2, 1) labelings of some classes  (791) of graphs. MAA Session on Mathematics Courses for the Liberal Jobby Jacob*, Rochester Institute of Technology, Arts Students, II and Renu Laskar, Clemson University (1056-05-1466) 1:00 PM –3:55PM 3:45PM A Parallel Algorithm for finding Maximum Critical Organizer: , Salem State College (792) Independent Sets in Graphs. Reva Kasman Ermelinda Delavina,Universityof 1:00PM Your Financial Future. Houston-Downtown, and Craig Eric Larson*,  (803) Yu-Ju Kuo, Indiana University of Pennsylvania Virginia Commonwealth University (1056-05-1774) (1056-J1-816)

148 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

1:20PM Games and Critical Thinking. 3:20PM Embedding applets into WeBWorK questions. (804) Volker Ecke*, Christine von Renesse, Julian  (819) Preliminary report. Fleron and Philip Hotchkiss, Westfield State Michael E. Gage, University of Rochester College (1056-J1-1866) (1056-M1-585) 1:40PM Teaching Non-Mathematics Majors using ‘Group 3:40PM The Impact of Implementing Web Homework in  (805) Topic Books’. Preliminary report.  (820) Calculus II. Caroline P Lubert,JamesMadisonUniversity P. Gavin LaRose, University of Michigan (1056-J1-1034) (1056-M1-703) 2:00PM Quantitative Approaches to Problems in 4:00PM A Successful Approach in Designing Online Courses  (806) Democracy.  (821) for Freshman Mathematics Courses. Preliminary Karen Saxe, Macalester College (1056-J1-247) report. A. Serpil Saydam*, A. Dale Magoun and Charlotte 2:20PM Symmetry and Design Portfolios Showcase (807) H. Owens, University of Louisiana at Monroe Mathematics for Liberal Arts Students. (1056-M1-832) Penny H. Dunham, Muhlenberg College (1056-J1-391) 2:40PM Service-based learning projects in statistics courses. MAA Session on Preparing K–12 Teachers to Teach  (808) Brad Bailey*andA. Robb Sinn, North Georgia Algebra, II College & State University (1056-J1-736) 1:00 PM –3:55PM 3:00PM A New Course for Liberal Arts Math: The (809) Mathematics of Calendars and Timekeeping. Organizers: Elizabeth Burroughs,MontanaState Daniel E. Otero, Xavier University (1056-J1-830) University 3:20PM Mathematical ways of reasoning and knowing Angela M. Hodge, North Dakota State (810) through geometry. University , Mount Holyoke College James Morrow William G. McCallum,Universityof (1056-J1-174) Arizona 3:40PM Fun Projects and Activities for Poets and 1:00PM An algebra course for middle school teachers.  (811) Mathematicians Alike. (822) Ji Li*andVirginia Bohme,TheUniversityof Ioana Mihaila, Cal Poly Pomona (1056-J1-946) Arizona (1056-N1-1338) 1:20PM Visualizing Algebraic Relationships: Solving  (823) Combined Rate Problems with Pattern Blocks. Preliminary report. MAA Session on Online Homework—Innovation and Dianna Spence*andA. Robb Sinn, North Georgia College & State University (1056-N1-865) Assessment, I 1:40PM Inquiry as an Outcome of Algebra. Preliminary 1:00 PM –4:15PM  (824) report. David Fowler, University of Nebraska-Lincoln Organizers: Michael E. Gage,Universityof (1056-N1-803) Rochester 2:00PM Big Ideas in Algebra: Materials to Foster Arnold K. Pizer,Universityof (825) Mathematical Thinking. Rochester Carol E Seaman*, University of North Carolina Vicki Roth, University of Rochester Greensboro, and Jennifer Earles Szydlik, University of Wisconsin Oshkosh (1056-N1-481) 1:00PM An Interactive Approach to Discrete Math Using 2:20PM Preliminary (812) WeBWorK and Flash Applets. Preliminary report. Calculus: A Gateway to Algebra?!  (826) report. Nathan M. Wodarz, University of Wisconsin - Stevens Point (1056-M1-35) Steve Benson, Lesley University (1056-N1-478) 2:40PM 1:20PM Using WeBWorK, A Web-Based Homework Delivery Using modified materials from The Algebra Project  (827) (813) And Grading System, To Help Prepare Students For with pre-service K-8 mathematics teachers. Preliminary report. Peer Instruction. , Eastern Michigan University Adam R. Lucas, Saint Mary’s College of California Steve Blair (1056-M1-228) (1056-N1-383) 3:00PM 1:40PM Preliminary report. Teachers, Mathematicians, and Educators Making Geometry on a wiki.   (814) , Aquinas College (828) Sense of Algebra Content. Michael E McDaniel , California State University, Long (1056-M1-267) Joshua D Chesler Beach (1056-N1-954) 2:00PM The relationship between online homework, test 3:20PM Bridging Proportional Reasoning and Algebraic  (815) grades, and persistence in calculus.  (829) Reasoning: A Focus on Co-variation and Invariance H Smith Risser, Montana Tech (1056-M1-298) Using Contextualized Problems. 2:20PM The Effect of an Online Homework System on Kien H. Lim, University of Texas at El Paso  (816) Student Outcomes in a First-Year Mathematics (1056-N1-242) Course. 3:40PM Preliminary report. , Marymount University (1056-M1-324) Algebra for Algebra Teachers. Laurie Lenz  (830) Ira J Papick*andJim Lewis,Universityof 2:40PM WebAssign: “It’s How Math Homework is Done!”. Nebraska-Lincoln (1056-N1-36)  (817) Preliminary report. Denise J LeGrand, University of Arkansas at Little Rock (1056-M1-367) MAA Session on How Assessment Results Changed Our Program 3:00PM Communicating through Online Assessment.  (818) Preliminary report. 1:00 PM –3:35PM Edward D Smith, Pima Community College (1056-M1-539) Organizers: Dick Jardine, Keene State College

JANUARY 2010 NOTICES OF THE AMS 149 Program of the Sessions – Thursday, January 14 (cont’d.)

Barbara Edwards, Oregon State 2:40PM Authentication Using Wavelets, part II. University  (844) John C. Merkel, III*, Morehouse College, Jill E. , University of Arkansas - Fort Smith, 1:00PM Faculty Development Through Assessment. Guerra Warren  (831) Preliminary report. Chancellor, Morehouse College, and Eric A. Dick Jardine, Keene State College (1056-F1-1175) Bickerton, University of Arkansas - Fort Smith (1056-S1-1270) 1:20PM Assessment of Mathematical Reasoning Courses for 3:00PM  (832) Business Students and Liberal Arts Students. A Module for the Construction of Scaling Functions (845) Vesna Kilibarda, Indiana University Northwest using the Cascade Algorithm. (1056-F1-557) John A Rock*, California State University, Stanislaus, David Ruch, State College 1:40PM Assessing Critical Thinking Throughout the of Denver, Kenneth Hoover, California State  (833) Preliminary report. Mathematics Curriculum. University, Stanislaus, Helmut Knaust,Universityof , Lehigh Carbon Community Miriam Harris-Botzum Texas, El Paso, and Roger Zarnowski, Angelo State College (1056-F1-1308) University (1056-S1-1479) 2:00PM Readiness Assessment and Course Placement 3:20PM Fourier Series and the Discrete Wavelet  (834) through Introductory Calculus.  (846) Transformation. Preliminary report. *, University of Illinois, and Alison Ahlgren Marc Patrick J Van Fleet,UniversityofSt.Thomas Harper, UCLA (1056-F1-1349) (1056-S1-1535) 2:20PM Assessment: If It Ain’t Useful, Don’t Do It. 3:40PM Wavelet Packets and Image Compression. (835) Preliminary report.  (847) Preliminary report. , Shippensburg University of J. Winston Crawley Cristen M Bonz and Elizabeth A Motz*, University Pennsylvania (1056-F1-1033) of St Thomas (1056-S1-1691) 2:40PM Using a knowledge survey for course and program 4:00PM A Sufficient Condition for the Optimality of  (836) level assessment in mathematics.  (848) Huffman Encoding. Preliminary report. , Loyola Marymount University Jacqueline M Dewar William David Hall*, California State University, (1056-F1-443) Stanislaus, and Jonathan Brown, California State 3:00PM An Assessment Loop (or How I Learned to Stop University, Stanislaus (1056-S1-1784)  (837) Worrying and Love the Rubric). Preliminary report. Jenn D Berg, Fitchburg State College (1056-F1-900) 3:20PM The Impact of Pair Quizzes on Mathematics  (838) Achievement and Mathematics Attitude. General Contributed Papers, VI Harrison W. Straley*andLauren Dupee,Wheaton College (1056-F1-637) 1:00 PM –4:10PM Organizers: Eric S. Marland, Appalachian State University Daniel J. Curtin, Northern Kentucky MAA Session on Wavelets in Undergraduate Education University 1:00PM Mathematics and the Internet: The Impact of New 1:00 PM –4:15PM (849) Media on a Discipline. Preliminary report. Samuel M Hansen, University of Nevada Las Vegas Organizers: Caroline Haddad, SUNY Geneseo (1056-Z1-1205) ,Universityof Catherine Beneteau 1:15PM South Florida Utilizing Web-based Statistical Resources in  (850) Teaching Nontraditional Undergraduate Students in David Ruch, Metropolitan State Online Learning Environments. College of Denver Michael D. Miner, American Public University Patrick Van Fleet,UniversityofSt. System (1056-Z1-1898) Thomas 1:30PM WhatcanyourstudentsdowithaniPhoneoriPod 1:00PM Teaching a Wavelets Course at a Liberal Arts  (851) TouchinMathClass? (839) College. Erick B Hofacker, University of Wisconsin - River Beth M. Campbell Hetrick, Gettysburg College Falls (1056-Z1-1976) (1056-S1-1998) 1:45PM Using Wikis to Enhance Mathematical 1:20PM Teaching a Wavelets course in May term. (852) Communication and Develop Students’ Investment  (840) Janine Wittwer, Westminster College, UT in Mathematical Community. Preliminary report. (1056-S1-231) Donna LaLonde and Jennifer D. Wagner*, Washburn University (1056-Z1-707) 1:40PM Portable Haar Wavelet Projects with MATLAB.  (841) Preliminary report. 2:00PM The Use of Spreadsheets to Illustrate Statistical and Phil Gustafson, Mesa State College (1056-S1-1334) (853) Mathematical Concepts. Morteza Shafii-Mousavi*andKochanowski Paul, 2:00PM A Wavelet-Based Unsupervised Learning Algorithm Indiana University South Bend (1056-Z1-86)  (842) to Cluster Diabetics Based on Continuous Glucose Monitoring Data. Preliminary report. 2:15PM Impact of Technology on Mathematics Teaching. Edward Aboufadel*, Grand Valley State University,  (854) Mohammad Khadivi, Jackson State University Robert Castellano, Stony Brook University, and (1056-Z1-967) Derek Olson, Drake University (1056-S1-528) 2:30PM Fun and Motivational Activities for Exam Review  (855) 2:20PM Authentication Using Wavelets, part I. Day.  (843) Jill E. Guerra*, University of Arkansas - Fort Smith, Min-Lin Lo, California State University San John C. Merkel, III, Morehouse College, Eric A. Bernardino (1056-Z1-676) Bickerton, University of Arkansas - Fort Smith, 2:45PM Euler-Cauchy Using Undetermined Coefficients. and Warren Chancellor, Morehouse College  (856) Doreen De Leon, California State University, Fresno (1056-S1-1263) (1056-Z1-542)

150 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

3:00PM Visualization Projects in Multivariable Calculus. Maura B. Mast,Universityof  (857) Jason J Molitierno, Sacred Heart University Massachusetts, Boston (1056-Z1-541) Judy L. Walker, University of Nebraska 3:15PM Using an Opening Quiz to set the Tone for a College (858) Algebra Course. MAA Committee on Graduate Students-YMN Panel Gerald Agbegha*andNailong Guo, Johnson C. Discussion Smith University (1056-Z1-1876)

3:30PM Strategies of Designing College Algebra with 1:00 PM –2:20PM (859) Modular Approach. Preliminary report. A. Serpil Saydam*, A. Dale Magoun and Charlotte Finding a research topic and thesis advisor. H. Owens, University of Louisiana at Monroe Organizers: David C. Manderscheid,Universityof (1056-Z1-834) Nebraska-Lincoln 3:45PM Issues and Obstacles in Preparing Mathematics Aaron Luttman, Clarkson University (860) Graduate Students for Teaching. Panelists: Raegan J. Higggins,TexasTech Mary Beisiegel, Western Oregon University University (1056-Z1-1768) Franziska Hinckelmann,Virginia 4:00PM fUNcO!—A Mathematical Card Game. Polytechnic Institute and State  (861) Mairead K Greene*andPaula Shorter, Rockhurst University University (1056-Z1-2034) Steven G. Krantz, Washington University SIAM Minisymposium on Mathematics and a Smart Jennifer McNulty,Universityof Planet Montana

1:00 PM –4:06PM SIGMAA on Statistics Education Panel Discussion Organizer: Brenda Dietrich,IBMT.J.Watson Research 1:00 PM –2:20PM Chair: ,IBMTJWatsonResearch Lior Horesh Statistics = mathematics: What a first- (or second-) Center time teacher of statistics should know. 1:00PM Managing the Earth: Modeling Data into Decisions Organizer: Michael A. Posner, Villanova University  (862) under Geological and Engineering Uncertainty. Panelists: , St. Lawrence University Jef Caers, Stanford University (1056-60-804) Robin Lock , Sonoma State 1:39PM Elaine Newman Design in inverse problems. University (863) Eldad Haber*, UBC, Lior Horesh,IBM,andLuis Tenorio, Colorado School of Mines (1056-49-2102) Leigh Lunsford, Longwood University 2:18PM Inversion—Taking one step backwards. Ken Torre, Cotati-Rohnert Park Unified (864) Lior Horesh*, IBM TJ Watson Research Center, School District Eldad Haber, University of British Colombia, and Luis Tenorio, Colorado School of Mines SIGMAA on Math Circles for Students and Teachers, (1056-49-2148) Part I 2:57PM On the probabilistic validation of models for (865) interacting agents. 1:00 PM –4:15PM Roger Ghanem*, Civil and Environmental Engineering, University of Southern California, and Fostering, supporting, and propogating Math Sonjoy Das, Department of Aerospace and Circles (Part II is Saturday at 1:00 p.m.). Mechanical Engineering, University of Southern Organizers: James S. Tanton,St.Mark’sInstitute California of Mathematics 3:36PM Global optimization with response surfaces for Tatiana Shubin, San Jose State (866) computationally expensive functions with University environmental applications. Rommel Regis, St. Joseph’s University, Christine Summer Program for Women in Mathematics (SPWM) Shoemaker*, School of Operations Research and Reunion Information Engineering, Cornell University, and Yilun Wang, Cornell University 1:00 PM –4:00PM

Joint Committee on Women in the Mathematical AMS Special Session on Arithmetic of Function Fields, Sciences Panel Discussion II

1:00 PM –2:30PM 1:30 PM –4:20PM Hard problems, approximate solutions: Finding Organizers: Allison Pacelli, Williams College balance between math and family demands. Michael Rosen,BrownUniversity Organizer: ,Mathematical Kathleen M. O’Hara 1:30PM Sciences Research Institute A Gross-Zagier formula for algebras (867) over totally real fields. Preliminary report. Panelists: Mary Ann Mason,Universityof Kristin E. Lauter*, Microsoft Research, and Eyal Z. California, Berkeley Goren, McGill University (1056-11-1669) Marc Goulden, University of California, 2:00PM An N-point version of the Mason-Stothers abc Berkeley (868) Theorem. Carol Hollenshead,Universityof Robert L. Benedetto, Amherst College Michigan (1056-11-659)

JANUARY 2010 NOTICES OF THE AMS 151 Program of the Sessions – Thursday, January 14 (cont’d.)

2:30PM The Reflection Theorem for class groups of global 2:00PM CCLI2: Colorado Momentum. (869) function fields and its applications. (883) Mary Nelson*, Harvey Segur, Anne Dougherty Yoonjin Lee,EwhaWomansUniversity and James Curry, University of Colorado, Boulder (1056-11-377) 2:00PM Investigating the Mathematical Biology of Metabolic 3:00PM Prime polynomials. (884) Scaling using Manduca InSTaRs (Interdisciplinary (870) Paul Pollack, University of Illinois at Science Training and Research). Urbana-Champaign (1056-11-1082) Jennifer Garbett, Judy Holdener*, Chris Gillen, 3:30PM Function Fields with Class Number Indivisible by a Brad Hartlaub, Harry Itagaki and Drew Kerkhoff,  (871) Prime . Kenyon College *, University of California, Michael W Daub 2:00PM STEM Real World Application Modules. Berkeley, Allison Pacelli, Williams College, Michael (885) Darren Narayan*, William Basener, Matthew Rosen,BrownUniversity,Jaclyn Lang,BrynMawr Coppenbarger, Paul Tymann and Moises Sudit, College, Mona Merling,BardCollege,andNatee Rochester Institute of Technology Pitiwan, Williams College (1056-11-1110) 2:00PM Paradigms in Physics: Multiple Entry Points. 4:00PM Class numbers of function fields. Preliminary report. (886) *, , (872) , University of Arizona Tevian Dray Corinne A Manogue Barbara Jing Long Hoelscher Edwards, David McIntyre and Emily van Zee, (1056-11-994) Oregon State University 2:00PM Quantitative Reasoning in the Contemporary World (887) (QRCW). MAA Poster Session on Projects Supported by the NSF Bernard L. Madison, University of Arkansas, Stuart Division of Undergraduate Education Boersma, Central Washington University, Caren L. Diefenderfer*, Hollins University, and Shannon W. , University of Arkansas 2:00 PM –4:00PM Dingman 2:00PM College Ready in Mathematics and Physics Organizer: Jon W. Scott, Montgomery Community (888) College Partnership. Gay Stewart, Bernard L. Madison*, Shannon W. 2:00PM Lurch: Software for Teaching Mathematical Proof. Dingman, University of Arkansas, Pete Joenks, (873) Nathan Carter*, Bentley University, and Kenneth G. Springdale High School, and John Jones,University Monks,UniversityofScranton of Arkansas, Fort Smith 2:00PM DIYModeling—Do It Yourself Modeling and 2:00PM Undergraduate Biology and Mathematics (874) Simulation for STEM Learning. (889) Training Program at NJIT: The effect of neuronal *, U.S. Military Academy, Frank Wattenberg William morphology on passive properties of neurons. , Appalachian State University, , CBauldry Joe Yanik Farzan Nadim*, Krutanjali Shah, Yamin Noor and Emporia State University, ,Georgia Keith Erickson A. Farzad Sheibanie, New Jersey Institute of Gwinnett College, and Marion Smith,Texas Technology Southern University 2:00PM Authentic Discovery Projects for Introductory 2:00PM MAA’s Online Calculus Text. (890) (875) *and ,Duke Statistics. Lawrence Moore David Smith Robb Sinn*, Dianna Spence and Brad Bailey, University North Georgia College 2:00PM MAA’s Mathematical Sciences Digital Library (876) 2:00PM Empowering Student Learning in Mathematical (MathDL). (891) Lawrence Moore*, Duke University, and Tom Analysis. , Jacksonville State University Barbara Shipman*andJames Epperson,The Leathrum University of Texas at Arlington 2:00PM Maplets for Calculus. (877) Philip B. Yasskin, Texas A&M University, and 2:00PM Modern Biology, Modern Mathematics, and Modern Douglas B. Meade*, University of South Carolina (892) Solutions: Moving Biomathematics Education Beyond Calculus. 2:00PM The design of a research-based curriculum for real *, , Sweet Briar College, (878) Raina Robeva Robin Davies analysis. and ,Western , Arizona State University Terrell Hodge Alexander Enyedi Kyeong Hah Roh Michigan University 2:00PM Research-Based Video for Teaching Undergraduate (879) 2:00PM Quantitative Literacy Across the Curriculum in a Proof. (893) James Sandefur*, Georgetown University, Connie Liberal Arts Setting. , Millsaps College, ,Moravian Semra Kilic-Bahi*, Ben Steele and Peter White, Campbell Kay Somers Colby-Sawyer College College, and Geoffrey Birky, Georgetown University 2:00PM 2:00PM WeBWork, a Web-based Interactive Homework HBCU Retreat and Follow-On Program. (880) System. (894) Don Small*, United States Military Academy, and Arnold Pizer*, Vicki Roth and Michael Gage, Laurette Foster, Prairie View A&M University University of Rochester 2:00PM Explorations in Complex Variables with 2:00PM Change Agents for Teaching and Learning Statistics (895) Accompanying Applets: Undergraduate Research. (881) (CATALST). Michael Dorff*, Brigham Young University, Jim Joan Garfield*, Bob delMas, Andy Zieffler, Rolf,U.S.AirForceAcademy,Rich Stankewitz,Ball University of Minnesota, Allan Rossman, Beth State University, Mike Brilleslyper, Beth Chance, California Polytechnic State University, San Schaubroeck,U.S.AirForceAcademy,Jane Luis Obispo, George Cobb, Mount Holyoke College, McDougall, Colorado College, and Ken and John Holcomb, Cleveland State University Stephenson, University of Tennessee 2:00PM Multidisciplinary Sustainability Modules: Integrating 2:00PM Mathematical Biology Projects at UNCG. (882) STEM Courses. (896) Jan Rychtar*, Maya Chhetri, Mary Crowe, David Thomas J. Pfaff*, Ali S. Erkan, Jason G. Hamilton Remington and Olav Rueppell,TheUniversityof and Michael Rogers, Ithaca College North Carolina at Greensboro

152 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Thursday, January 14 – Program of the Sessions

2:00PM Development and Dissemination of Computational AMS Invited Address (897) Science Educational Materials and Curricula at the Undergraduate Level. 2:15 PM –3:05PM Paula Federico*, Terry Lahm, Andrea Karkowski, Capital University, , Kenyon College, (910) Laplacians on vector bundles on graphs. Sheryl Hemkin , Brown University (1056-60-14) Gerald Mueller, Columbus State Community Richard W. Kenyon College, and Ignatios Vakalis, California State Polytechnic Institute MAA-Project NExT Panel Discussion

2:00PM Learning Discrete Mathematics and Computer 2:30 PM –3:45PM (898) Science via Primary Historical Sources. Mathematics and social justice. Jerry Lodder*, David Pengelley and Guram Bezhanishvili,NewMexicoStateUniversity Organizers: Lily S. Khadjavi, Loyola Marymount University 2:00PM MBUR (Mathematical Biology & Undergraduate David T. Kung, St. Mary’s College of (899) Research): Modeling Growth and Biochemical Maryland Pathways in Selenite Resistant Bacteria. Panelists: ,UniversityofNorthern *, , , Shandy Hauk George Yates Jon Caguiat Carl Sims Jozsi Colorado Jalics and Mark Womble, Youngstown State University Eric Hsu, San Francisco State University 2:00PM SyBR-U: Synthetic Biology Research for Lisa Marano, West Chester University (900) Undergraduates. Laurie J. Heyer*, A. Malcolm Campbell,Davidson MAA CRAFTY Panel Discussion College, Jeffrey L. Poet and Todd T. Eckdahl, Missouri Western State University 2:35 PM –3:50PM 2:00PM The Center for Women in Mathematics at Smith More voices from the partner disciplines: The (901) College. second round of curriculum foundations workshops. *and , Smith College Ruth Haas James Henle Organizer: Sheldon P. Gordon, Farmingdale State College 2:00PM Studying Cell Response to Input Signals as the Basis (902) for Interdisciplinary Training for Undergraduates in Panelists: Andrew G. Bennett, Kansas State Biological and Mathematical Sciences. University Ovidiu Lipan, Kathy Hoke, Lester Caudill, Jr, Susan L. Ganter, Clemson University and *, Laura Runyen-Janecky Garrett Graham Sheldon P. Gordon University of Richmond William E. Haver,Virginia 2:00PM Research and Education Program in Mathematical Commonwealth University (903) and Biological Sciences. William Marion, Valparaiso University Semen Koksal*, Rob van Woesik, Dave Carroll, Richard Sinden, Eugene Dshalalow and Kristie SIGMAA on Statistics Education and SIGMAA on Llera, Florida Institute of Technology Research in Undergraduate Mathematics Education 2:00PM Quantitative Skills in Biology through Scientific Panel Discussion (904) Inquiry at James Madison University. D. Brian Walton*, Anthony Tongen, Nusrat Jahan 2:35 PM –3:50PM and Reid Harris,JamesMadisonUniversity Excuse me; where is the department of statistics education? 2:00PM Research and Education in Computational (905) Mathematics for Undergraduates in the Organizer: Michael A. Posner, Villanova University Mathematical Sciences at NJIT. Panelists: Dennis Pearl, Ohio State University Zoi-Heleni Michalopoulou*, Roy Goodman, David Mike Shaugnessy, Portland State Horntrop, Jonathan Luke, Michael Siegel and University Yuan-Nan Young, New Jersey Institute of , University of Minnesota Technology Bob DelMas Andrew Zieffler,Universityof 2:00PM Interactive Online Modules and Take-Home Minnesota (906) Assignments for Inquiry-Learning to Provide First-Hand Experience in Matrix Algebra Course. AMS Committee on the Profession Panel Discussion Hamide Dogan-Dunlap*andPiotr Wojciechowski, University of Texas at El Paso 2:45 PM –4:15PM 2:00PM Experimental Mathematics. What I wish I had known when applying for a job. (907) Marc Chamberland, Grinnell College Moderator: Christopher K. McCord,Northern Illinois University 2:00PM Undergraduate Training in Bioinformatics. (908) Ming-Ying Leung*, Steve Aley, Vladik Kreinovich Panelists: Elizabeth T. Beazley,Universityof and Elizabeth Walsh,TheUniversityofTexasatEl Michigan and Williams College Paso Julie Bergner, University of California, Riverside 2:00PM PREP: MAA’s Professional Enhancement Program. (909) , Mathematical Association of Karl Kempf, Intel and Arizona State J. Michael Pearson University America, Nancy Baxter Hastings,Dickinson College, Nathaniel Dean, Texas State University, Bryna Kra,NorthwesternUniversity San Marcos, Virginia Buchanan, Hiram College, Ken Ono,Universityof and Jon Scott*, Montgomery College Wisconsin-Madison

JANUARY 2010 NOTICES OF THE AMS 153 Program of the Sessions – Thursday, January 14 (cont’d.)

Tony DeRose, Animation Studios SIGMAA on Mathematics and the Arts Special Presentation AMS Retiring Presidential Address 7:00 PM –9:00PM 3:20 PM –4:10PM Open mike mathematical poetry reading. (911) Reflections and perspectives. Organizer: Douglas Norton, Villanova University James G. Glimm, Stony Brook University SIGMAA on Business, Industry, and Government Joint Prize Session Reception

4:25 PM –5:25PM 7:15 PM –8:00PM

SIGMAA on Environmental Mathematics Guest Lecture Young Mathematicians’ Network Open Forum

5:30 PM –6:30PM 7:30 PM –8:30PM Speaker and title to be announced. Joint Prize Session Reception Friday, January 15 5:30 PM –6:30PM Joint Meetings Registration SIGMAA on Business, Industry, and Government Guest 7:30 AM –4:00PM Lecture

5:45 PM –6:45PM AMS Special Session on Mathematics and Physical Experiment, I 5:45PM From Netflix to Gerrymanders: A Sample of BIG (912) Applications of Mathematics. 7:30 AM –10:50AM Barry A Cipra, Northfield, MN (1056-A0-1541) Organizers: Roger Thelwell, James Madison University SIGMAA on Statistics Education Business Meeting and Reception Anthony Tongen,JamesMadison University 5:45 PM –7:15PM Paul Warne,JamesMadisonUniversity 7:30AM Shock Wave Formation on Turbulent Coanda SIGMAA on Mathematics Instruction Using the Web  (914) Surfaces. Reception and Business Meeting Thomas Dowd,JamesMadisonUniversity (1056-76-1537) 5:45 PM –6:30PM 8:00AM The Applied Mathematics Laboratory: translating  (915) Presenter: , Pierce College what you see into what you do. Bruce W. Yoshiwara Michael Tabor, University of Arizona (1056-97-1045) MAA Two-Year College Reception 8:30AM GPS Tracking of a Roller Coaster. Preliminary  (916) report. 5:45 PM –7:30PM Michael C. Sostarecz, Monmouth College (1056-00-1096) MAA Special Presentation for Students 9:00AM Experiments from a Capstone Laboratory at New  (917) 6:00 PM –7:00PM Jersey Institute of Technology. Michael Booty, New Jersey Institute of Technology 6:00PM Low dimensional topology for fun and profit, or, (1056-00-1733)  (913) how to extract money from the R4 space. 9:30AM Notes from the MEC Lab at the University of Cliff Stoll, Klein Bottle Company  (918) Delaware. John A Pelesko, University of Delaware SIGMAA on Research in Undergraduate Mathematics (1056-74-699) Education Business Meeting 10:00AM Experiments in the Classroom. (919) Jon Jacobsen, Harvey Mudd College 6:00 PM –7:30PM (1056-37-1030) 10:30AM Reinventing the Wheel! SIGMAA on Environmental Mathematics Business (920) Roger Thelwell,JamesMadisonUniversity Meeting (1056-35-1634)

6:30 PM –7:00PM AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates, I SIGMAA on Mathematics Instruction Using the Web Presentation and Discussion 8:00 AM –10:50AM Organizers: , Rochester Institute 6:30 PM –7:30PM Darren Narayan of Technology Life after Wolfram Alpha. Bernard Brooks, Rochester Institute of Presenter: Bruce W. Yoshiwara, Pierce College Technology

154 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

Jacqueline Jensen, Sam Houston State AMS Special Session on Nonlinear Hyperbolic University Equations and Control Systems in Physics and Carl V. Lutzer, Rochester Institute of Engineering, II Technology 8:00 AM –10:50AM Vadim Ponomarenko, San Diego State University Organizers: Petronela Radu,Universityof Tamas Wiandt, Rochester Institute of Nebraska-Lincoln Technology Daniel Toundykov,Universityof 8:00AM Configurations of extremal type II lattices and Nebraska-Lincoln (921) codes. 8:00AM Uniform stabilization of the system of dynamic Scott Kominers, Harvard University (1056-06-2154) (933) elasticity by non-linear boundary dissipation. 8:30AM Modular forms arising from Q(n) and Dyson’s rank. Roberto Triggiani, University of Virginia (922) Maria Monks, Massachusetts Institute of (1056-35-532) Technology (1056-11-2153) 8:30AM Concerning the Qualitative of a Coupled 9:00AM Efficient simulation of fluid flow. Preliminary report. (934) Fluid-Structure Semigroup.  (923) David Alexander Hannasch*andMonika Neda, George Avalos, University of Nebraska-Lincoln University of Nevada, Las Vegas (1056-65-165) (1056-35-569) 9:00AM 9:30AM Image Denoising Via Feature-Based Sparse and Optimal control of a thermoelastic structural  (924) Redundant Dictionaries. Preliminary report. (935) acoustic model. Josh Koslosky*andStacey Levine, Duquesne Catherine Lebiedzik, Wayne State University University (1056-49-173) (1056-35-2037) 9:30AM 10:00AM Analytic Properties of Unitary Equivalence to Analysis and Simulation of a One-dimensional (936)  (925) Constant Diagonal Matrices. Preliminary report. Plasma Model. , University of Texas at Daniel E Poore, Pomona College (1056-15-185) Stephen Pankavich Arlington (1056-35-560) 10:30AM Complete Growth and Graph Products of Groups. 10:00AM  (926) Daniel Allen, University of Maine at Farmington, Existence of time periodic solutions of non-linear (937) Meghan Cream,WakeForestUniversity,Kate wave equations. , Tuskegee University (1056-35-1631) Finlay, Lafayette College, and Ranjan Rohatgi*, Jintae Kim Northwestern University (1056-20-274) 10:30AM Bridging the asymptotic behavior of solutions to (938) hyperbolic equations with parabolic equations. Petronela Radu*, University of Nebraska-Lincoln, Grozdena Todorova and Borislav Yordanov, University of Tennessee-Knoxville (1056-35-1074)

AMS-AWM Special Session on Spectral Problems on Compact Riemannian Manifolds, I AMS Special Session on Biomathematics: Modeling in 8:00 AM –10:50AM Biology, Ecology, and Epidemiology, I Organizers: Carolyn Gordon, Dartmouth College 8:00 AM –10:50AM Ruth Gornet, University of Texas at Arlington Organizers: Olcay Akman, Ilinois State University Craig Sutton, Dartmouth College Linda Allen, Texas Tech University 8:00AM Spectral bounds on 2-orbifold diffeomorphism type. Timothy D. Comar, Benedictine (927) Emily Proctor, Middlebury College, and Elizabeth University Stanhope*, Lewis & Clark College (1056-53-1590) Sophia Jang, Texas Tech University 8:30AM Spectral and geometric bounds on orbifold Lih-Ing Roeger, Texas Tech University (928) homotopy type. Preliminary report. 8:00AM The fundamental bifurcation theorem for Emily Proctor*, Middlebury College, and Elizabeth (939) Darwinian matrix models. Preliminary report. Stanhope, Lewis & Clark College (1056-58-919) Jim M. Cushing, University of Arizona 9:00AM Some applications of the trace formula on orbifolds (1056-92-603) (929) Preliminary report. to the inverse spectral problem. 8:30AM , University of Michigan, Ann Arbor Bifurcation analysis of a model for hormonal Alejandro Uribe (940) (1056-58-1289) regulation of the menstrual cycle. James F. Selgrade, North Carolina State University 9:30AM On the singularities of the exponential map. (1056-92-786) (930) Benjamin Schmidt*, Michigan State University, 9:00AM Darwinian Dynamics of Avian Populations with and Keith Burns,NorthwesternUniversity (941) Preliminary report. (1056-51-1041) Reproductive Synchrony. Shandelle M. Henson*, Andrews University, J. M. 10:00AM Quantum ergodic restriction theorems. Cushing, University of Arizona, and James L (931) Steve Zelditch, Johns Hopkins Univ and Hayward, Department of Biology, Andrews Northwestern Univ (1056-35-748) University (1056-92-1807) 10:30AM Spectral rigidity of analytic plane domains with one 9:30AM Competitive Exclusion in a Juvenile-Adult Model with (932) mirror symmetry. (942) Continuous and Seasonal Reproduction. Hamid Hezari*, MIT, and Steve Zelditch, Johns Azmy S. Ackleh*andRoss A. Chiquet,University Hopkins University (1056-35-1012) of Louisiana at Lafayette (1056-92-1016)

JANUARY 2010 NOTICES OF THE AMS 155 Program of the Sessions – Friday, January 15 (cont’d.)

10:00AM Modeling the Movements of a Thermoregulating 10:30AM Explicit Upper Bounds for L-functions on the critical (943) Timber Rattlesnake. Preliminary report. (956) line. John G. Alford*, Sam Houston State University, and Vorrapan Chandee, Stanford University Bill Lutterschmidt, Department of Biological (1056-11-376) Sciences and Texas Research Institute for Environmental Studies/Sam Houston State University (1056-92-114) AMS Special Session on Representation Theory and Nonassociative Algebras, II 10:30AM Discrete host-parasitoid models with Allee effects (944) and age structure in the host. 8:00 AM –10:50AM Sophia R-J Jang, Texas Tech University (1056-92-740) Organizer: Andrew Douglas, City University of New York AMS Special Session on Enumerative Combinatorics, I 8:00AM On coverings of the smallest Paige loop. (957) Stephen M Gagola III, University of Arizona 8:00 AM –10:50AM (1056-20-130) 8:30AM Associative Geometry. Organizers: Brian Miceli, Trinity University (958) Michael Kinyon*, University of Denver, and , University of California Jeff Remmel Wolfgang Bertram, Institut ´Elie Cartan Nancy San Diego (1056-20-1766) 8:00AM Preliminary report. SLk-Tilings of Lattices. 9:00AM  (945) , Universite du Quebec a Enveloping algebras of Malcev algebras. Francois Bergeron (959) Marina Tvalavadze, University of Saskatchewan Montreal (1056-05-704) (1056-17-718) 8:30AM A basis for the coinvariant space for 9:30AM (946) Preliminary report. Equivariant map algebras. quasisymmetric polynomials. (960) Erhard Neher, Alistair Savage*, University of Sarah K Mason*, UCSD/Wake Forest University, and Ottawa, and Prasad Senesi, Catholic University of Aaron Lauve, Texas A&M (1056-05-1361) America (1056-17-415) 9:00AM Experimental Investigations into the Zeros of Rook 10:00AM Preliminary report. (947) Preliminary E8 Theory. Polynomials and Analytic Functions.  (961) , Makawao, HI (1056-83-1051) report. A Garrett Lisi 10:30AM Jim Haglund, University of Pennsylvania The Structure of . (1056-05-1586) (962) Tevian Dray*, Oregon State University, and Aaron Wangberg, Winona State University (1056-17-1224) 9:30AM A Pieri rule for skew Schur functiond. (948) Sami H Assaf*, MIT, and Peter R. W. McNamara, Bucknell University (1056-05-1578) AMSSpecialSessiononArithmeticand 10:00AM Some enumerative and order theoretic aspects of Nonarchimedean Dynamics, III (949) the rook monoid. Mahir Bilen Can, Tulane University (1056-05-1371) 8:00 AM –9:50AM 10:30AM Partitions, Orthogonal Polynomials and q-Series. Organizers: Joseph Silverman,BrownUniversity (950) Preliminary report. Michelle Manes, University of Hawaii George E. Andrews, The Pennsylvania State University (1056-05-475) Raphael Jones, College of the Holy Cross 8:00AM AMS Special Session on L-Functions and Analytic Dynamics of f(x) = x+1/x via Elliptic Curves. (963) Jang-Woo Park*andShuhong Gao,Clemson Number Theory, I University (1056-11-1794) 8:30AM 3 8:00 AM –10:50AM Some fractals associated to K surfaces. (964) Arthur Baragar, University of Nevada Las Vegas Organizers: Alina Bucur, Institute for Advanced (1056-11-1751) Study 9:00AM Dynamical Mordell-Lang results via Euclidean Chantal David, Concordia University (965) uniformizations. Matilde Lalin, University of Alberta Thomas Scanlon, University of Californa, Berkeley (1056-12-841) 8:00AM Recent progress on QUE. (951) Soundararajan Kannan, Stanford University 9:30AM Galois theory of quadratic rational functions with a (1056-11-1609) (966) non-trivial automorphism. Preliminary report. *, University of Hawaii at Manoa, 8:30AM Ranks of Jacobians of modular curves. Michelle Manes and , College of the Holy Cross (952) Kaneenika Sinha, PIMS/Alberta (1056-11-666) Rafe Jones (1056-11-831) 9:00AM Schur polynomials, metaplectic Whittaker functions (953) and the Yang-Baxter equation. Daniel W Bump, Stanford (1056-11-1403) MAA-AMS-MER Invited Paper Session on Mathematics 9:30AM Lennon’s work on relations between traces of and Education Reform, II: Climate, Sustainability, and (954) Frobenius and hypergeometric functions. the Curriculum Preliminary report. Ben Brubaker*andCatherine Lennon,MIT 8:00 AM –10:50AM (1056-11-1463) Organizers: William H. Barker, Bowdoin College 10:00AM Preliminary Weyl Group Multiple Dirichlet Series. ,Universityof (955) report. William G. McCallum Arizona Jennifer Beineke, Western New England College, Ben Brubaker, Massachusetts Institute of Bonnie S. Saunders,Universityof Technology, and Sharon Frechette*, College of the Illinois at Chicago Holy Cross (1056-11-802) Mary Lou Zeeman, Bowdoin College

156 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

Deborah Hughes Hallett,Universityof 8:15AM Homogenization of The Laplace Equation with Arizona (979) Oscillating Stationary Ergodic Free Boundary. Preliminary report. 8:00AM Climate and Sustainability in the Mathematics  (967) Curriculum. Preliminary report. Betul Orcan, University of Texas at Austin Mary Lou Zeeman, Bowdoin College (1056-35-1793) (1056-BC-1444) 8:30AM Micromirror Method For Catadioptric Sensor (980) 8:30AM Climate Change: Impact and Opportunities. Design. *, Loyola Marymount University,  (968) Deborah Hughes Hallett, University of Arizona, Emek Kose Can Harvard Kennedy School (1056-BC-1753) and Ronald Perline, Drexel University (1056-35-1828) 9:00AM Mathematics Concepts Needed in the Global 8:45AM (969) Systems Science Course. Analysis of nonlinear Darcy-Forchheimer flows in (981) Alan D Gould, University of California Berkeley – porous media. Lawrence Hall of Science (1056-BC-1266) Adem Cakmak, Ohio University, Lancaster (1056-35-1845) 9:30AM Introducing Students and Teachers to the 9:00AM  (970) Connections Between Science and Mathematics Uniqueness of solutions to linear wave equations. (982) Preliminary report. using NASA Space Science Discoveries as a Vehicle , Princeton University for Mathematics Education. Phillip D Whitman (1056-35-1972) Sten F Odenwald, Catholic University of America/ADNET/NASA (1056-BC-1251) 9:15AM Approximating Convection Dominated Diffusion  (983) 10:00AM PDEs Using an Adaptively Weighted Least Squares How Calculus can Participate in Multidisciplinary Preliminary report.  (971) Sustainability Modules. Preliminary report. Finite Element Approach. *, , Myles D Baker*, Baylor University and Wabash Thomas J Pfaff Ali S Erkan Jason G Hamilton College, and , Bard College and and Michael Rogers, Ithaca College Sarah R Farell (1056-BC-1314) Wabash College (1056-35-241) 9:30AM 10:30AM Audience discussion about the ideas generated in An inverse Sturm-Liouville problem using three  (984) Preliminary report. this session on Climate and Sustainability in the spectra. , Allegheny College Curriculum. MihaelaCristinaDrignei (1056-34-330) 9:45AM On the existence of a double S-shaped bifurcation (985) curve. MAA Invited Paper Session on The Mathematics of Jerome Goddard II*, Mississippi State University, Origami EunKyoung Lee, Pusan National University, and Ratnasingham Shivaji, Mississippi State University 8:00 AM –10:55AM (1056-34-350) 10:00AM Organizers: ,Universityof Particular Solution to the Euler-Cauchy Equation: A Tamara Veenstra  (986) Preliminary report. Redlands Novel Approach. Adnan H Sabuwala, California State University, Thomas C. Hull, Western New England Fresno (1056-34-388) College 10:15AM Analysis of a Truly Nonlinear Oscillator. 8:00AM Paper Folding, Orders of Elements, and Binary (987) Dorian Wilkerson, Clark Atlanta University (972) Representations of Fractions. (1056-34-420) , University of Redlands Tamara B Veenstra 10:30AM (1056-BF-1225) First Integrals for Systems via Complex Partial (988) Lagrangians. 8:30AM Combinatorial Methods in Flat Origami. Imran Naeem*, LUMS, Lahore, Pakistan, Fazal  (973) Thomas C. Hull, Western New England College Mahomed, University of the Witwatersrand, and R (1056-BF-1057) Naz, IIU, Islamabad (1056-34-425) 9:00AM Mathematical Methods in Origami Design. 10:45AM Nonautonomous fractional integrodifferential (974) Robert J. Lang, Langorigami.com (1056-BF-1497) (989) equations with nonlocal initial conditions. 9:30AM Bisections, Trisections and Quintisections by Haewon Lee*andPeter Frempong-Mireku, Dillard  (975) Origami. Preliminary report. University (1056-35-2032) Roger C. Alperin, San Jose State University (1056-BF-1242) AMS Session on Biomathematics, III 10:00AM Rigid origami. 8:00 AM –10:55AM  (976) Ileana Streinu, Smith College (1056-BF-1996) 10:30AM Computational Origami from Science to Sculpture. 8:00AM Modeling Stochastic Cardiac Caveolae: a potential (977) Erik D. Demaine*andMartin L. Demaine,  (990) source of arrhythmogenic persistent sodium Computer Science and Artificial Intelligence current in cardiomyocytes. Laboratory, Massachusetts Institute of Technology Ian M. Besse*, Colleen C. Mitchell,Universityof (1056-BF-1946) Iowa, Erwin F. Shibata, Molecular Physiology and Biophysics, University of Iowa, and Thomas Hund, Cardiovascular Medicine, University of Iowa (1056-92-1833) AMS Session on Differential and Difference 8:15AM A Mathematical Model for the MAPK Pathway in Equations, III (991) Starfish Oocytes. Preliminary report. Semen Koksal*, Ioana Policeanu and David 8:00 AM –10:55AM Carroll, Florida Institute of Technology 8:00AM Computation of Green’s functions via successive (1056-92-1844) (978) image theory. 8:30AM A piecewise-defined two-variable model for cardiac D. Palaniappan,TexasA&MUniversity  (992) tissue. (1056-35-1783) Lisa Driskell, Purdue University (1056-92-1859)

JANUARY 2010 NOTICES OF THE AMS 157 Program of the Sessions – Friday, January 15 (cont’d.)

8:45AM Effect of the Diffusion Coefficient on Noise 9:30AM Differential-difference Equations in Entire (993) Sensitivity in the Stochastic Chemostat. (1006) Functions. Suzanne Galayda*andErnest Barany,NewMexico Vadim Tkachenko, Ben-Gurion University of the State University (1056-92-1869) Negev, Israel (1056-39-771) 9:00AM Identifying Effective Age-Based Mammogram 9:45AM A model of an SIR disease on time scales. (994) Screening Schedules Using a Stochastic Population (1007) Preliminary report. Model of Breast Cancer. Raegan Higgins, Texas Tech University Sarah Geneser*, Stanford University, Stephanie L. (1056-39-1322) , San Diego State University Research Rutledge 10:00AM Unitary Operators Associated to Hyperbolic Foundation, and Sylvia K. Plevritis,Stanford (1008) Reflection Groups. Preliminary report. University (1056-92-1899) Mihai Stoiciu*, Williams College, and Norbert 9:15AM Break Peyerimhoff, Durham University, UK (1056-39-1470) 9:30AM Poisson Approximations for Palindrome  (995) Distributions in DNA Viral Genomes. 10:15AM Strong Approximation for Markov Modulated Ming-Ying Leung, University of Texas at El Paso (1009) Random Sequences with Two-Time Scales. (1056-92-1902) Son Luu Nguyen*andGeorge Gang Yin,Wayne State University (1056-60-1123) 9:45AM On the Expectation and Variance of the Reversal (996) Distance. Yiting Yang*, University of South Carolina, and Laszlo Szekely, University of South Carolina (1056-92-2146) AMS Session on Approximations 10:00AM Predicting Flexibility and Motions of Proteins Using (997) Rigidity. 8:00 AM –10:55AM Adnan Sljoka and Walter Whiteley*, York University (1056-52-51) 8:00AM Linear Dependence of Translates. Preliminary (1010) report. 10:15AM Fibonacci Hexagon and Genetic Tableau. Ashley N Moses, Saint Louis University (998) Okan Gurel*, IBM, and Demet Gurel, Touro College (1056-00-318) (1056-54-109) 8:15AM Greedy Approximation with regard to Non-greedy 10:30AM 2-D Biharmonic Equation for the Displacement of (1011) Bases. (999) an Isotropic Kelvin-Voigt Viscoelastic Plate. , *, University of Preliminary report. Vladimir Temlyakov Mingrui Yang South Carolina, and Peixin Ye,NankaiUniversity Robert J Ronkese, United States Military Academy (1056-41-331) at West Point (1056-74-650) 8:30AM Ratio Boundary Extension for Empirical Mode 10:45AM Optimal vaccine distribution in a spatiotemporal (1012) (1000) Decomposition. epidemic model with an application to rabies and Qin Wu*andSherman Riemenschneider,West raccoons. Virginia University (1056-41-426) Rachael Miller Neilan*, Louisiana State University, 8:45AM Break and Suzanne Lenhart, NIMBioS, University of Tennessee (1056-93-407) 9:00AM Extensions of Bernstein’s Inequality to Rational (1013) Functions. Mohammed A. Qazi*, Tuskegee University, and Q. I. Rahman,Universit´edeMontr´eal (1056-41-729) 9:15AM Cesaro´ Summability of Expansions in Orthogonal AMS Session on Difference Equations and Time Scales (1014) Polynomials on a Cylinder. Jeremy Wade, Pittsburg State University 8:00 AM –10:25AM (1056-41-812) 8:00AM Qualitative Behaviour of Dynamic Equations on 9:30AM Break  (1001) Preliminary report. Time Scales. 9:45AM Optimal Learning of Bandlimited Functions from *and ,Universityof Allan Peterson Lynn Erbe (1015) Localized Sampling. Nebraska-Lincoln (1056-39-372) Charles Micchelli, State University of New York, 8:15AM Positive solutions of even order periodic boundary The University at Albany, Yuesheng Xu,Syracuse (1002) value problems. University, and Haizhang Zhang*, University of Qingkai Kong and Min Wang*, Northern Illinois Michigan (1056-41-926) University (1056-39-390) 10:00AM The second derivatives of the Chebyshev 8:30AM Modeling of Groundwater Level of a Specified Cut  (1016) polynomials as M-matrices. Preliminary report. (1003) Slope. Joseph Kolibal, The University of Southern Adam B Baharum, AlQahtani Hessah*, Zalila B Mississippi (1056-41-962) , and , Ali Habibah B Latih Swee Peng Koay 10:15AM Local Lipschitz Constant for Vector Valued Universiti Sains Malaysia (1056-39-398) (1017) Approximation. Preliminary report. 8:45AM Oscillation and nonoscillation for nonlinear Mohammad A AlQudah*andJames R Angelos, (1004) dynamic equations. Central Michigan University (1056-41-1310) *, ,Universityof Lynn H. Erbe Allan C. Peterson 10:30AM On Even and Odd Variation-Diminishing Nebraska, Lincoln, and , Zhongshan Baoguo Jia (1018) Convolution Transforms. University, Guangzhou, China (1056-39-439) Terence G Hanchin, Kent State University 9:00AM Some Properties of the Generalized Laplace (1056-41-1903) (1005) Transform on Time Scales. 10:45AM Approximation by Bivariate Linear Splines on Chris Ahrendt, University of Nebraska-Lincoln (1019) Triangulations. (1056-39-505) Edmond J. Nadler, Eastern Michigan University 9:15AM Break (1056-41-2050)

158 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

AMS Session on Functional Analysis and Operator 8:45AM Space Curve Singularities and the Semple Tower. Theory, I (1035) Preliminary report. Alex L Castro*, Richard Montgomery, UCSC, and 8:00 AM –10:55AM Michail Zhitomirskii,Technion-Haifa-IL (1056-14-624) 8:00AM Weak compactness in the space of Operator Valued 9:00AM (1020) ( L( )) GIT Compactification of the Quintic Threefolds. Measures Mba Σ, X,Y with an Application. (1036) , North Carolina State University Preliminary report. Chirag M Lakhani (1056-14-971) NasirUddin Ahmed, University of Ottawa (1056-46-21) 9:15AM Break 9:30AM 8:15AM A Generalized Ston-Wierstrass theorem for The Laplace transform of the cut-and-join equation (1021) Cz-vector lattices and Cz-algebras. Preliminary (1037) and the Bouchard-Marino conjecture on Hurwitz report. numbers. Hueytzen J Wu*, Texas A&M University - Kingsville, Bertrand Eynard, Service de Physique Theorique de and Wan-Hong Wu, UT Health Science Center - San Saclay, Motohico Mulase, University of California, Antonio (1056-46-258) Davis, and Brad Safnuk*, Central Michigan University (1056-14-1317) 8:30AM Path-connectedness of the space of norm-attaining (1022) functionals on certain Banach spaces. 9:45AM Tensor Product of Picard Stacks. Antonia E Cardwell, Millersville University of (1038) Ahmet Emin Tatar, Florida State University Pennsylvania (1056-46-726) (1056-14-1473) 10:00AM 8:45AM Dominated Ergodic Theorem for isometries of Algebraic cycles and degenerations for a class of (1039) surfaces of general type. (1023) non-commutative Lp-spaces, 1p∞. Preliminary report. Christopher Lyons, California Institute of Technology (1056-14-1933) Shukhrat M Usmanov, Ashford University (1056-46-924) 10:15AM Representations of polynomials non-negative on  (1040) 2 9:00AM Aperiodicity in Topological k-Graphs. Preliminary non-compact subsets of R .  (1024) report. Ha N Nguyen*andVictoria Powers,Emory Sarah E. Wright, Dartmouth College (1056-47-217) University (1056-12-688) 9:15AM On real, Jordan and Lie structures in locally 10:30AM Fan Cohomology and Equivariant Chow Rings of (1025) W*-algebras. (1041) Toric Varieties. Alexander A. Katz, St. John’s University, NY, Mu-wan Huang, Southwest Minnesota State Roman Kushnir and Mark Ustayev*, University of University (1056-19-1689) South Africa, Pretoria, South Africa (1056-46-1032) 9:30AM Crossed product C*-algebras by finite group actions MAA Session on Undergraduate Mathematical (1026) with the projection free tracial Rokhlin property. Biology, I Dawn Archey, Ben Gurion University (1056-46-1211) 8:00 AM –10:55AM 9:45AM Continuous Dependence Results for Ill-posed Organizers: Timothy D. Comar, Benedictine (1027) Evolution Problems in a Banach Space. University , Bryn Mawr College Matthew A. Fury Raina S. Robeva, Sweet Briar College (1056-46-1261) 8:00AM Interdisciplinary curricular innovations at the 10:00AM Operator spaces with an ideal structure. (1042) University of the Virgin Islands. (1028) , University of Houston Sonia Sharma Robert C Stolz and Camille A. McKayle*, (1056-46-1291) University of the Virgin Islands (1056-Q5-1676) 10:15AM Exponential integrability: a unified approach. 8:20AM Developing Computational Skills in Biocalculus (1029) *, University of Missouri, Carlo Morpurgo (1043) Courses. Preliminary report. Columbia, and , Universita’ di Milano Luigi Fontana Timothy Comar, Benedictine University - Bicocca, Italy (1056-46-1302) (1056-Q5-459) 10:30AM On a reduction method for nonassociative 8:40AM The Growth of Interdisciplinary Math-Biology (1030) Lp-spaces.  (1044) Courses at James Madison University. Preliminary Genady Ya. Grabarnik, York College, CUNY, report. *, St. John’s University, and Alexander A. Katz D. Brian Walton*, Anthony Tongen, Nusrat Jahan ,IBMT.J.WatsonResearchCenter, Laura Shwartz and Reid Harris,JamesMadisonUniversity Hawthorne, NY (1056-46-1552) (1056-Q5-1755) 10:45AM Preliminary report. Traces of operator derivatives. 9:00AM Introductory Mathematical Biology through Finite (1031) Anna Skripka, Texas A&M University (1056-47-110)  (1045) Dynamical Systems. Raina S Robeva*, Sweet Briar College, and Terrell Hodge, Western Michigan University AMS Session on Algebraic Geometry (1056-Q5-1402)

8:00 AM –10:40AM 9:20AM Research in Mathematical Biology at UNCG.  (1046) Jan Rychtar, The University of North Carolina at 8:00AM The Converse of Abel’s theorem (‘polynomial’ and Greensboro (1056-Q5-1777) (1032) Preliminary report. ‘rational’). 9:40AM UBM Research and Training Activities in BioMath. Veniamin Kisunko, University of Toronto  (1047) Preliminary report. (1056-14-57) Semen Koksal, Florida Institute of Technology 8:15AM The geometry of multipartite quantum systems. (1056-Q5-1969) (1033) *and ,Universityof Carl A. Miller Eric Chitambar 10:00AM Bio-Surveillance in Undergraduate Mathematics Michigan, Ann Arbor (1056-14-153)  (1048) Classroom. Preliminary report. 8:30AM Rational Fibrations of Mg,1. Urmi Ghosh-Dastidar, New York City College of (1034) David Jensen, University of Texas (1056-14-447) Technology, CUNY (1056-Q5-2023)

JANUARY 2010 NOTICES OF THE AMS 159 Program of the Sessions – Friday, January 15 (cont’d.)

10:20AM Mathematical Biology and Undergraduate Research MAA Session on Mathematics, Equity, Diversity, and  (1049) (MBUR) at Youngstown State University. Social Justice, II George T Yates, Youngstown State University (1056-Q5-1882) 8:00 AM –10:50AM 10:40AM Viscoelastic Effects in Biological Soft Tissues. Organizers: Patricia Hale, California State  (1050) S. Minerva Venuti*andPadmanabhan Seshaiyer, Polytechnic University Pomona George Mason University (1056-Q5-1530) Shandy Hauk,UniversityofNorthern Colorado Dave Kung, St. Mary’s College, Maryland 8:00AM The history, impact, and current efforts of (1063) Emerging Scholars Programs. MAA Session on General Contributed Papers, VII Natasha M Speer, University of Maine (1056-H7-1930)

8:00 AM –10:55AM 8:30AM Challenging Eurocentric Mathematics History to  (1064) Encourage Understanding of Cultural Diversity in Organizers: Eric S. Marland, Appalachian State Mathematics Classrooms. University Elizabeth C Rogers, Piedmont College Daniel J. Curtin, Northern Kentucky (1056-H7-2127) University 9:00AM Increasing the Participation of Girls in Mathematics  (1065) 8:00AM The Role of Permutatation Matrices in Magic and other STEM Fields in Higher Education.  (1051) Squares. Preliminary report. Tina Alves Mancuso*andDeborah Lawrence,The Peter Staab*andMichael Andrade,FitchburgState Sage Colleges (1056-H7-1608) College (1056-Z1-874) 9:30AM From research to mathematics curriculum  (1066) 8:15AM Rolling Archimedean Dice. development: Social Justice for African Americans  (1052) Dylan W Helliwell*, Seattle University, and in Chester Heights. , University of Maryland, College Park Peter Littig, University of Washington, Bothell Julius Davis (1056-Z1-2039) (1056-H7-1518) 10:00AM 8:30AM Algebra Project Curricula – Mathematics meaning , Church, and Knots: Statistics Through   (1053) (1067) through experience and dialogue. Preliminary Service and Research. report. Neil Nicholson, William Jewell College (1056-Z1-102) David W. Henderson*, Cornell University, and Kelly Gaddis, Bard College (1056-H7-1908) 8:45AM Making Sense of Sampling Distributions: Activities 10:30AM  (1054) Preliminary The Algebra Project: Building Math Literacy. for an Introductory Statistics Course.  (1068) , San Francisco Unified School District report. Marcus Hung (1056-H7-406) Kate G McGivney, Shippensburg University (1056-Z1-1697) 9:00AM Some Results, Problems and Conjectures On  (1055) Generalized Markoff Numbers. MAA Session on Mathematics Courses for the Liberal Shanzhen Gao, Florida Atlantic University Arts Students, III (1056-Z1-689) 9:15AM Effect of noise in Canonical Correlation Analysis 8:00 AM –10:55AM (1056) with application to Ozone Pollution. Organizer: Reva Kasman, Salem State College Katerina G. Tsakiri*andIgor G. Zurbenko, State University of New York at Albany (1056-Z1-683) 8:00AM Mathematics and General Education: Exposing  (1069) Students to Mathematics and its Tools in the 21st 9:30AM Set Difference and Jump Sequences. Preliminary report.  (1057) *, and Century. Chelsea Cerini Sommer Sprowls Roman Manuel J. Sanders, University of South Carolina Wong, Washington & Jefferson College Beaufort (1056-J1-1668) (1056-Z1-484) 8:20AM Designing a “Math for Liberal Studies” Course. 9:45AM The Mystery of the M&m Sequences. (1070) James E. Hamblin, Shippensburg University  (1058) Sommer L Sprowls*, Chelsea Cerini and (1056-J1-870) Roman Wong, Washington & Jefferson College (1056-Z1-483) 8:40AM Including Presentations as a Component in a Liberal  (1071) Arts Math History Course. 10:00AM What a higher q-skew τ-derivation can do for you. Sean D Simpson, Westchester Community College  (1059) Heidi A. Haynal, Walla Walla University (1056-J1-747) (1056-Z1-294) 9:00AM Great Ideas of Modern Mathematics: An Approach 10:15AM Likelihood Inference for Nonlinear Regression  (1072) to a Rigorous Mathematics Course for the Liberal (1060) Models. Arts Student. Preliminary report. Harshini Fernando, Purdue University North Robert A. Blumenthal, Georgia College & State Central (1056-Z1-791) University (1056-J1-95) 10:30AM Trilinable Points of Curves. 9:20AM Teaching the Nature of Applied Mathematics. (1061) Michael S McClendon*andCharles L Cooper,  (1073) Preliminary report. University of Central Oklahoma (1056-Z1-2088) G. Edgar Parker,JamesMadisonUniversity (1056-J1-458) 10:45AM Level curves of the angle function of a positive  (1062) definite symmetric matrix. 9:40AM Evolution of the Mathematical Sampler. Neeraj Bajracharya,UniversityofNorthTexas  (1074) Jeffery Thomas McLean,UniversityofSt.Thomas (1056-Z1-609) (1056-J1-855)

160 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

10:00AM Teaching Quantitative Reasoning with the News. 8:30AM The Canonical Coloring Graph.  (1075) Preliminary report. (1088) Ruth Haas, Smith College (1056-05-963) Stuart Boersma*, Central Washington University, 9:00AM Distinguishing with Mike Albertson. Caren L Diefenderfer, Hollins University, Shannon  (1089) Karen L. Collins, Wesleyan University WDingmanand Bernard L Madison,Universityof (1056-05-1245) Arkansas (1056-J1-508) 9:30AM Looking for a new proof of the Four Color Theorem. 10:20AM Projects & Portfolios Motivate Most. (1090) Preliminary report. (1076) Rich West, Francis Marion University Walter Stromquist, Swarthmore College (1056-J1-1769) (1056-05-1551) 10:40AM Reaching the Unreachable: Pulling Students Kicking 10:00AM Finding minors in graphs with a given path  (1077) and Screaming into a Mathematical Vortex Where (1091) structure. They Transform to Develop Mathematical Eyes Radhika Ramamurthi*, Andre Kundgen, California through Innovative Approaches and Activities. State University San Marcos, and Michael Deborah L. Gochenaur, Shippensburg University Pelsmajer, Illinois Institute of Technology (1056-J1-1974) (1056-05-2048) 10:30AM Maximum Induced Forests in Graphs of Bounded MAA Session on Quantitative Reasoning and the  (1092) Treewidth. Environment Glenn G Chappell, Department of Computer Science, University of Alaska Fairbanks, and 8:00 AM –10:55AM Michael J. Pelsmajer*, Illinois Institute of Technology (1056-05-1715) Organizers: Maura B. Mast,Universityof Massachusetts Boston Karen D. Bolinger, Clarion University PME Council Meeting Cinnamon Hillyard,Universityof Washington Bothell 8:00 AM – 11:00 AM 8:00AM An Across-the-Curriculum Approach to Quantitative (1078) Literacy in Environmental Studies. Employment Center Ben Steele*, Semra Kilic-Bahi, Nick Baer, Leon , and , Malan Laura Alexander Harvey Pine 8:00 AM –7:00PM Colby-Sawyer College (1056-P1-1639) 8:20AM Water, Water, Everywhere—Even in Statistics. (1079) John C. Nardo*andJudith Lynn Gieger, AMS Session on History of Mathematics Oglethorpe University (1056-P1-1948) 8:40AM Raising Awareness of Environmental Issues in 8:15 AM –10:55AM  (1080) Preliminary report. Statistics Course. 8:15AM Ancient Numeral System And The Great . Thomas J Pfaff, Ithaca College (1056-P1-1610) (1093) Preliminary report. 9:00AM Sustainability as a Focus for an Introductory Ricie Dimatatac Bulanhagui, Alalum, San Pascual, (1081) Calculus Course. Batangas (1056-01-399) , Middlebury College Michael Olinick 8:30AM (1056-P1-1093) French and English Influences On Early American (1094) Mathematics. 9:20AM Could i-Tree Software Have Helped the Lorax? Andrew B Perry, Springfield College (1056-01-692)  (1082) *and , Jacksonville Jan O. Case Scott W. Beckett 8:45AM State University (1056-P1-1312) Nasir-aldin Tusi: A True Scholar in Many  (1095) Disciplines. Preliminary report. 9:40AM The Environment, Mathematics and Our Community Mohammad Moazzam, Salisbury University (1083) Role. (1056-01-937) Ben Fusaro, Florida State University (1056-P1-1997) 9:00AM Benjamin Gompertz: Pioneer of Actuarial Science. 10:00AM Using QL Modules to Analyze and Present Large  (1096) Preliminary report.  (1084) Data Sets in a Winter Ecology Course. Preliminary Charlotte K. Simmons*andJesse W. Byrne, report. University of Central Oklahoma (1056-01-1027) , Trinity College (1056-P1-1276) Judith Moran 9:15AM Break 10:20AM Modeling Radon in Pennsylvania. Preliminary report. 9:30AM Max Dehn.  (1085) Michael Huber, Muhlenberg College (1056-P1-276)  (1097) David Peifer, UNC Asheville (1056-01-1042) 10:40AM Necessary Environmental Numeracy for a 9:45AM  (1086) Preliminary report. Teaching Mathematics at the 19th century Virginia Successful Society.  (1098) Preliminary report. , University of Colorado, Boulder Military Institute. Martin E. Walter , USMA Prep School (1056-01-1734) (1056-P1-847) Maryam Vulis 10:00AM On Avicenna’s Arithmetic.  (1099) Mahmoud H Annaby, Qatar University SIAM Minisymposium on Graph Theory, I (1056-01-1860) 10:15AM 8:00 AM –10:55AM Euler’s work on the prime divisors of numbers of (1100) the form mx2 + ny2. Organizers: Andre Kundgen, California State Paul R Bialek*, Trinity International University, University San Marcos and Dominic W Klyve, Carthage College Hal Kierstead, Arizona State University (1056-11-1819) 8:00AM The thickness and chromatic number of r-inflated 10:30AM Origin and Extensions of the Secant Method and (1087) graphs.  (1101) Characterizations of the BFGS Secant Method. Michael Albertson, Smith College, Debra Boutin*, Preliminary report. Hamilton College, and Ellen Gethner,Universityof Joanna M. Papakonstantinou, Rice University Colorado Denver (1056-05-1063) (1056-49-673)

JANUARY 2010 NOTICES OF THE AMS 161 Program of the Sessions – Friday, January 15 (cont’d.)

10:45AM Algebraic cryptology from an historical viewpoint. 9:30AM Non-uniform sampling expansions and local  (1102) Preliminary report. (1114) reconstruction on subspaces of L2(R). Chris Christensen, Northern Kentucky University Nikolaos Dimitrios Atreas, Aristotle University of (1056-01-1790) Thessaloniki, Polytechnic School (1056-94-1137) 10:00AM Color Image Restoration Using Nonlocal AMS Session on Discrete Mathematics, IV (1115) Mumford-Shah Regularizers. Miyoun Jung, Xavier Bresson,UCLA,Tony F 8:15 AM –10:40AM Chan, NSF and UCLA, and Luminita A. Vese*, UCLA (1056-35-1136) 8:15AM Ramsey Core Numbers. Preliminary report. 10:30AM  (1103) Allan Edward Bickle, Western Michigan University Approximation Theory in Signal and Image (1056-05-1273) (1116) Processing. Applications to Endovascular Surgery. Gianluca Vinti, University of Perugia 8:30AM On the enumeration of the cyclically fully (1056-94-1602)  (1104) commutative elements in Coxeter groups. Tom Boothby, University of Washington, Jeffrey Burkert*, Harvey Mudd College, Morgan Eichwald, University of Montana, Dana C. Ernst,Plymouth AMS-MAA Graduate Student Fair State University, Richard M. Green,Universityof Colorado at Boulder, and Matthew Macauley, 8:30 AM –10:30AM Clemson University (1056-05-1861) Undergrads! Take this opportunity to meet 8:45AM On the cyclically fully commutative elements of (1105) representatives from mathematical sciences Coxeter groups. graduate programs. Tom Boothby, University of Washington, Jeffrey Burkert, Harvey Mudd, Morgan Eichwald, University of Montana, Dana C. Ernst*, Plymouth State University, Richard M. Green,Universityof MAA Session on Online Homework—Innovation and Colorado at Boulder, and Matthew Macauley, Assessment, II Clemson University (1056-05-1831) 9:00AM An explicit derivation of the Mobius¨ function for 8:40 AM –10:55AM  (1106) Bruhat order. Organizers: ,Universityof , University of California, Davis Michael E. Gage BrantC.Jones Rochester (1056-05-914) Arnold K. Pizer,Universityof 9:15AM Break Rochester 9:30AM Projections of Ocneanu traces are Kazhdan-Lusztig Vicki Roth, University of Rochester  (1107) R-polynomials. W. Andrew Pruett, Baylor University (1056-05-476) 8:40AM Assessing the Impact on Student Learning and (1117) Behavior in a First Applied Statistics Course by 9:45AM Symmetric Permutations with No Long Decreasing Innovative Use of Three Delivery Types Including (1108) Subsequences. Online Homework: Experimental Design and Eric S Egge, Carleton College (1056-05-249) Implementation. 10:00AM Preliminary report. Fragility in Matroids. William H Rybolt*andJohn D McKenzie,Babson  (1109) Carolyn B. Chun*, Dillon Mayhew,Victoria College (1056-M1-975) University, Stefan van Zwam,Universityof 9:00AM Waterloo, and Geoff Whittle, Victoria University Assessing the Impact on Student Learning and (1056-05-1494) (1118) Behavior in a First Applied Statistics Course by Innovative Use of Three Delivery Types Including 10:15AM Edge Coverings of Bipartite Graphs and the Online Homework: Initial Results.  (1110) Geometry of the Hausdorff Metric. John D McKenzie*andWilliam H Rybolt,Babson Steven Schlicker*, Grand Valley State University, College (1056-M1-976) and Katrina Honigs, University of California, Berkeley (1056-51-116) 9:20AM Using Multiple Technologies to Engage Students in  (1119) Math Learning. Preliminary report. 10:30AM Hypergraphic subspace arrangements. Gerald Agbegha*andNailong Guo, Johnson C. (1111) Matthew S. Miller*, Bucknell University, and Max Smith University (1056-M1-1843) Wakefield, United States Naval Academy (1056-55-289) 9:40AM Online Assessment of Homework in College Algebra  (1120) and Math Concepts For Teachers Courses. A. S. Elkhader, Northern State University AMS Special Session on Interactions of Inverse (1056-M1-1571) Problems, Signal Processing, and Imaging, II 10:00AM Using WebAssign for Uniform Assessment in (1121) Precalculus, 1300 Students at a Time. 8:30 AM –10:50AM Lisa Townsley*andEdward Azoff,Universityof Organizer: M. Zuhair Nashed,Universityof Georgia (1056-M1-1066) Central Florida 10:20AM MathNerds and Webwork: a free, supervised 8:30AM A Perturbed Whittaker-Kotel’nikov-Shannon  (1122) tutoring system for online homework. Preliminary  (1112) Sampling theorem. report. Mahmoud H Annaby*, Qatar University, Hassan A W. Ted Mahavier*, Lamar University & MathNerds, Hassan,CairoUniversity,andOmar H El-Haddad, Valerio De Angelis, Xavier University of Louisiana Beni Suef University (1056-94-1840) & MathNerds, and Kyehong Kang, Lamar University (1056-M1-1141) 9:00AM Convergence and Rate of Approximation for (1113) Generalized Sampling-type Operators in Orlicz 10:40AM Using Public Domain Software for Online Homework Spaces.  (1123) and Tutorials at the University of Puerto Rico. Laura Angeloni,Universit`a degli Studi di Perugia DanielLMcGee*andJ Maider Marin,Universityof (1056-41-1726) Puerto Rico - Mayaguez (1056-M1-1542)

162 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

MAA Invited Address AMS Special Presentation

9:00 AM –9:50AM 9:30 AM – 11:00 AM  (1124) Motion Planning and Graph Layout: at the A conversation on nonacademic employment. Crossroads of Geometry, Discrete Mathematics, and Moderator: James G. Glimm, SUNY at Stony Brook Algorithm Design. Preliminary report. Sue Whitesides, University of Victoria (1056-A0-11) Exhibits and Book Sales

ASL Invited Address 9:30 AM –5:00PM

9:00 AM –9:50AM ASL Invited Address (1125) Expansions of o-minimal structures by trajectories of definable vector fields. 10:00 AM –10:50AM Chris Miller, Ohio State University (1056-03-72) (1126) Ramsey theory for finite structures. Slawomir J. Solecki, University of Illinois at MAA Minicourse #13: Part B Urbana-Champaign (1056-03-74)

9:00 AM – 11:00 AM AMS Special Session on Use of Technology in Modern Taking symbols seriously: Teaching form and Complex Analysis Research, II function in college algebra.

Organizers: William G. McCallum,Universityof 10:00 AM –10:50AM Arizona Organizers: ,U.S.AirForce Deborah Hughes Hallett,Universityof Beth Schaubroeck Arizona and Harvard University Academy , Brigham Young Pat Shure, University of Michigan Michael Dorff University James Rolf,U.S.AirForceAcademy MAA Minicourse #4: Part B 10:00AM An Introduction to Metacalibration and its  (1127) Application to Multiple Bubble Problems. 9:00 AM – 11:00 AM Donald C. Sampson, Rebecca Dorff*andJames P , Brigham Young University (1056-49-468) Using video-case studies in teaching a proof-based Dilts gateway course to the mathematics major. 10:30AM Convex Combinations of Harmonic Mappings to  Organizers: James T. Sandefur, Georgetown (1128) Regular Polygons. University Jessica A Spicer*, University of Arkansas, and , University of North Carolina , Millsaps College Samuel J Ferguson Connie M. Campbell (1056-43-1347) Kay B. Somers, Moravian College

AMS Invited Address MAA Minicourse #7: Part B 10:05 AM –10:55AM 9:00 AM – 11:00 AM (1129) Zonotopal algebra, analysis, and combinatorics. Teaching with clickers in the classroom. Olga Holtz*, University of California-Berkeley, Organizers: Derek Bruff, Vanderbilt University Technische Universitaet Berlin, Institute for Adam Lucas, Saint Mary’s College of Advanced Study, and Amos Ron,Universityof California Wisconsin-Madison (1056-13-6)

Student Hospitality Center AMS-MAA Invited Address

11:10 AM – NOON 9:00 AM –5:00PM (1130) Evolving curves and surfaces. Brian White, Stanford University (1056-51-42) MAA-Young Mathematicians’ Network Panel Discussion MAA Poster Session on Research by Undergraduate 9:00 AM –10:20AM Students Promotion and tenure: You know you want it. NOON –1:00PM Organizers: Barry A. Balof, Whitman College Joshua D. Laison, Willamette College Students must set up their posters during this hour. Panelists: Jason D. Rosenhouse,JamesMadison University AMS Colloquium Lectures: Lecture III Francis E. Su, Harvey Mudd College Matthew P. Richey, St. Olaf College 1:00 PM –2:00PM Jacqueline A. Jensen,SamHouston (1131) Reduced decompositions. State University Richard P. Stanley, M.I.T. (1056-05-18)

JANUARY 2010 NOTICES OF THE AMS 163 Program of the Sessions – Friday, January 15 (cont’d.)

MAA Lecture for Students 4:30PM The Energy of Graphs and Matrices. (1144) Duy D Nguyen*, Texas Christian University, 1:00 PM –1:50PM Katelyn L McCall, University of Rochester, Laura J , College of St. Benedict, ,  (1132) Buggy Amalia V Culiuc How math made modern music mad Irrational! Mount Holyoke College, and Sivaram K Narayan, David T. Kung, Saint Mary’s College of Maryland Central Michigan University (1056-15-78) (1056-A0-15) 5:00PM Subgraph Summability Number. Preliminary report.  (1145) *, University of New Mexico, AMS Current Events Bulletin Kassandra A Johnston Philip R Zerull, Sivaram K Narayan and Jordan D , Central Michigan University (1056-05-79) 1:00 PM –4:45PM Webster

1:00PM Approximate groups and their applications: work of (1133) Bourgain, Gamburd, Helfgott and Sarnak. AMS-MAA Special Session on History of Mathematics, I Ben J Green, University of Cambridge, UK (1056-11-1569) 1:00 PM –6:20PM 2:00PM Multivariate stable polynomials: theory and (1134) applications. Organizers: Craig Fraser, University of Toronto David G. Wagner, University of Waterloo Deborah Kent, Hillsdale College (1056-32-2100) Sloan Despeaux, Western Carolina 3:00PM The conformal geometry of billiards. University (1135) , University of Illinois at Chicago Laura DeMarco 1:00PM (1056-37-1737) The Mathematics of the Antikythera Mechanism.  (1146) James Evans, University of Puget Sound 4:00PM On the Problem. (1056-01-929) (1136) ,HarvardUniversity Michael Hopkins 1:30PM (1056-55-1879) The various “Indian rules” in medieval and early  (1147) modern Western mathematics. Preliminary report. Kim Plofker, Union College (1056-01-1189) AMS-MAA-SIAM Special Session on Research in 2:00PM Mathematics by Undergraduates, II Descartes, Van Schooten, and algebraic extensions (1148) of fields. Michel Pierre Serfati,Universit´e Paris VII/ Denis 1:00 PM –5:20PM Diderot (1056-01-56) Organizers: Darren Narayan, Rochester Institute 2:30PM Curvature and symmetry in Newton’s early of Technology (1149) computations of orbital dynamics. Bernard Brooks, Rochester Institute of Michael Nauenberg, UCSC (1056-01-1560) Technology 3:00PM Johann Bernoulli’s lost lecture on differential Jacqueline Jensen, Sam Houston State  (1150) calculus and its sequels. University Ruediger Thiele, Hall, Germany (1056-01-1572) Carl V. Lutzer, Rochester Institute of 3:30PM From cascades to calculus: episodes in the history Technology  (1151) of Rolle’s theorem. Vadim Ponomarenko, San Diego State June Barrow-Green, The Open University, Milton University Keynes, UK (1056-01-273) Tamas Wiandt, Rochester Institute of 4:00PM D company: the rise and fall of differential operator Technology (1152) theory in Britain, 1810s-1870s. , Middlesex University, UK 1:00PM Analyzing Hyperspectral Images. Ivor O. Grattan-Guinness (1056-01-1877)  (1137) Brian Allen*, Messiah College, and Kristen Bretney, Loyola Marymount University 4:30PM Pasch and Klein on intuition and proofs. (1056-94-145)  (1153) Dirk Schlimm, McGill University (1056-01-1156) 1:30PM Coexistence of Stable ECM Solutions in the 5:00PM Why was Wantzel Overlooked for a Century? The  (1138) Lang-Kobayashi System.  (1154) Changing Importance of an Impossibility Result. Ericka Mochan*, Western New England College, and Jesper Lutzen¨ , University of C. Davis Buenger, Rice University (1056-34-144) (1056-01-808) 2:00PM Greedy Algorithms for Generalized k-rankings of 5:30PM From idea to mathematical object: Herman  (1139) graphs. (1155) Minkowski’s introduction of general convex sets. Sandra James*, Concordia University - St. Paul, and Tinne Hoff Kjeldsen, IMFUFA, Roskilde University Andrew Zemke, Rochester Institute of Technology (1056-01-304) (1056-05-142) 6:00PM Building a Nation: The Evolution of a Mathematical 2:30PM Finding Ramsey Numbers. (1156) Research Community from the Italian States to the  (1140) Kevin Black*, Harvey Mudd College, and Daniel Kingdom of Italy. Leven, Rutgers Unviersity (1056-05-143) Laura Martini, Siena, Italy (1056-01-1331) 3:00PM Mathematics Models of Mancala. (1141) Reginald Ford*, M. Vergara, J. C. Ortega, D. Melendez and Z. Pena,JamesMadisonUniversity AMS-AWM Special Session on Spectral Problems on (1056-91-2094) Compact Riemannian Manifolds, II 3:30PM Comparison of Homogenous cyclic expressions.  (1142) B. Sriram, Indian Institute of Technology, Kanpur 1:00 PM –5:50PM (1056-08-26) Organizers: Carolyn Gordon, Dartmouth College 4:00PM The Strong Symmetric Genus of Small D-type  (1143) Generalized Symmetric Groups. Preliminary report. Ruth Gornet, University of Texas at Michelle Bowser*, Trevor Partridge and Kirsten Arlington Rodgers, Grove City College (1056-20-77) Craig Sutton, Dartmouth College

164 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

1:00PM Inverse scattering results for manifolds hyperbolic 3:30PM A New Elementwise Criterion for Weak (1157) at infinity. (1171) Subintegrality. David Borthwick,EmoryUniversity,andPeter A. Marie A Vitulli, University of Oregon Perry*, University of Kentucky (1056-58-1112) (1056-13-1581) 1:30PM The genus spectrum of a hyperbolic 3-manifold. 4:00PM Discussion (1158) D. B. McReynolds*, University of Chicago, and 4:30PM Modules over one-dimensional local rings of infinite Alan W. Reid, University of Texas in Austin (1172) Cohen-Macaulay type. Preliminary report. (1056-53-1227) Silvia Saccon, University of Nebraska-Lincoln 2:00PM Length-spectral rigidity for flat metrics. (1056-13-621) (1159) Moon Duchin*, University of Michigan, 5:00PM Local rings and high syzygies. Preliminary report. Christopher J Leininger, University of Illinois, and (1173) Hamid Rahmati*, Texas Tech university, and Janet Kasra Rafi, University of Oklahoma (1056-51-1425) Striuli, Fairfield University (1056-13-2028) 2:30PM The Cut-off Covering Spectrum. 5:30PM Constructing Algebras from Witt vectors. (1160) Christina Sormani, CUNY Graduate Center and (1174) Paul C Roberts, University of Utah (1056-13-800) Lehman College, and Guofang Wei*, UC Santa Barbara (1056-53-529) AMS Special Session on Enumerative Combinatorics, II 3:00PM Spectral problems for polygons. (1161) Julie Rowlett, Hausdorff Center for Mathematics 1:00 PM –5:50PM (1056-58-869) Organizers: Brian Miceli, Trinity University 3:30PM Break Jeff Remmel, University of California 4:00PM Eigenvalues and Isoperimetric Inequalities. San Diego (1162) Jesse Ratzkin, University College Cork 1:00PM (1056-35-283) Major Index for 01-Fillings of Moon Polyominoes. (1175) William Chen, Center for Combinatorics, Nankai 4:30PM Hearing Delzant polygons from the equivariant University, Svetlana Poznanovi´c*, Catherine Yan, (1163) spectrum. Texas A&M University, and Arthur Yang,Centerfor Emily B. Dryden*, Bucknell University, Victor Combinatorics, Nankai University (1056-05-1212) Guillemin, Massachusetts Institute of Technology, 1:30PM and , Instituto Superior T´ecnico, Matrix Bijections. Rosa Sena-Dias  (1176) , California Polytechnic State Lisbon (1056-58-1299) Anthony A. Mendes University, San Luis Obispo (1056-05-166) 5:00PM The fundamental domain of Random Riemann 2:00PM (1164) Probabilistic proofs of hook length formulas surfaces.  (1177) *and ,Central involving trees. Eran Makover Jeff McGowan , Michigan State U. and NSF Connecticut State University (1056-58-527) Bruce E Sagan (1056-05-519) 5:30PM The fundamental domain of Random Riemann 2:30PM Invariants, Kronecker products and combinatorics (1165) surfaces. (1178) *and ,Central of some remarkable diophantine systems. Jeffrey McGowan Eran Makover Adriano Garsia, UC, San Diego (1056-05-1881) Connecticut State University (1056-58-525) 3:00PM Enumerating (2+2)-free posets by the number of (1179) minimal elements and other statistics. Sergey Kitaev, Reykjavik University (1056-05-473) AMS Special Session on Commutative Algebra, II 3:30PM The distributions of k-drops and k-excedences in  (1180) permutations. , California Polytechnic State 1:00 PM –5:50PM Jeffrey E Liese University, San Luis Obispo (1056-05-949) Organizers: Susan Cooper,Universityof 4:00PM Wilf equivalence for generalized factor order Nebraska-Lincoln (1181) modulo k. Graham Leuschke, Syracuse University Thomas Langley*, Rose-Hulman Institute of Technology, , California Polytechnic Sean M. Sather-Wagstaff,North Jeffrey Liese Dakota State University State University, San Luis Obispo, and Jeffrey Remmel, University of California, San Diego 1:00PM Ascent and descent modulo exact zero divisors. (1056-05-1275) (1166) Preliminary report. 4:30PM Luchezar L. Avramov, Inˆes Bonacho dos Anjos A hierarchy of generalized pattern avoidance and (1182) (0 1) Henriques*, University of Nebraska-Lincoln, and β , -trees. , Reykjavik University Liana M. Sega, University of Missouri, Kansas City Einar Steingrimsson (1056-13-1604) (1056-05-1886) 5:00PM Preliminary report. 1:30PM Avoiding Colored Partitions. Vanishing of Tor over complete intersections.  (1183) , Minnesota State University, and (1167) , University of Nebraska, Lincoln Adam Goyt Lara Olgur Celikbas *, Valparaiso University (1056-05-1359) (1056-13-901) Pudwell 5:30PM A Continuum of Partition Statistics. 2:00PM Infinite Cohen-Macaulay posets and non-Noetherian  (1184) Nicholas A. Loehr*, Virginia Tech, and Gregory S. (1168) Stanley-Reisner rings. Warrington, University of Vermont (1056-05-487) Erin Chamberlain, Brigham Young University (1056-13-813) AMS Special Session on Differential Galois Theory 2:30PM The rank of a hypergeometric system. (1169) Christine Berkesch, Purdue University and Group Representations: A Tribute to Andy Magid, (1056-14-944) I 3:00PM Asymptotic behavior of value semi-groups. 1:00 PM –6:20PM (1170) S. D. Cutkosky, K. Dalili*, University of Missouri - Columbia, and O. Kashcheyeva,Universityof Organizers: James Carrell, University of British Illinois at Chicago (1056-13-2019) Columbia

JANUARY 2010 NOTICES OF THE AMS 165 Program of the Sessions – Friday, January 15 (cont’d.)

Lourdes Juan, Texas Tech University 2:30PM The relative trace formula and average values of Alex Lubotzky, Hebrew University (1198) L-functions. Andrew H. Knightly*, University of Maine, and Brian Parshall, University of Virginia Charles Li, Chinese University of Hong Kong Marius van der Put,Universityof (1056-11-641) Groningen 3:00PM Average Frobenius distribution for elliptic curves 1:00PM Differential ‘Galois’ extensions with new constants. (1199) defined over number fields. (1185) Lourdes Juan*, Texas Tech University, and Andy R. Ethan C. Smith*, Michigan Technological Magid, University of Oklahoma (1056-20-1991) University, and Kevin James, Clemson University 1:30PM Differential Groups and Factorization of Partial (1056-11-789) (1186) Differential Operators. 3:30PM Nonvanishing of canonical Hecke L-functions for CM Phyllis J Cassidy, The City College of New York, (1200) number fields. and Michael F Singer*, North Carolina State Riad Masri*andTonghai Yang,Universityof University (1056-12-605) Wisconsin at Madison (1056-11-1363) 2:00PM Infinitesimal differential Galois groups from jet 4:00PM Higher weight Heegner points. (1187) spaces. (1201) Kimberly Hopkins, University of Texas at Austin Thomas Scanlon, University of California, Berkeley (1056-11-824) (1056-13-839) 4:30PM Euclidean Prime Degree Galois Number Fields. 2:30PM The Galois group of monodromy evolving (1202) Preliminary report. (1188) deformations. Kevin J McGown, University of California, San Claude Mitschi*, Universit´edeStrasbourg,France, Diego (1056-11-308) and , North Carolina State Michael F. Singer 5:00PM Divisibility properties of values of partial zeta University, Raleigh (1056-34-1144) (1203) functions at non-positive integers. Preliminary 3:00PM Spin groups as differential Galois groups. report. (1189) Arne Ledet*andLourdes Juan,TexasTech Barry R. Smith, University of California, Irvine University (1056-12-1040) (1056-11-751) 3:30PM Geometry of differential Tannakian categories. 5:30PM Critical zeros of Dirichlet L-functions. Preliminary (1190) Henri Gillet, University of Illinois at Chicago, (1204) report. Sergey Gorchinskiy, Steklov Mathematical J. Brian Conrey, American Institute of Mathematics Institute, and Alexey Ovchinnikov*, City University (1056-11-677) of New York (1056-14-1407) 4:00PM Symmetries of Standard Equations. (1191) Camilo Sanabria, The CUNY Graduate Center AMS Special Session on Recent Advances in Evolution (1056-34-433) Equations and Applications 4:30PM Differential Galois Theory and Darboux 1:00 PM –6:50PM  (1192) Transformations. Preliminary report. Primitivo B. Acosta-Hum´anez, Universidad Sergio Organizers: Guoping Zhang, Morgan State Arboleda (1056-34-638) University 5:00PM What can Mathematicians Contribute to Research in Gaston N’Guerekata, Morgan State (1193) Education? University Hyman Bass*andDeborah Loewenberg Ball, ,UniversityofIowa University of Michigan (1056-97-1520) Yi Li Wen-Xiu Ma,UniversityofSouth 6:00PM Galois theory of difference equations with Florida (1194) difference parameters. 1:00PM Benjamin Antieau*, University of Illinois at Circular spectrum and bounded solutions of (1205) Chicago, and Alexey Ovchinnikov, City University periodic evolution equations in Banach spaces. of New York (1056-13-1328) Gaston M. N’guerekata, Morgan State University (1056-34-995) 1:30PM Existence and uniqueness of mild solutions to (1206) impulsive fractional differential equations. AMS Special Session on L-Functions and Analytic Gis`ele Mophou,Universit´e des Antilles et de la Number Theory, II Guyane (1056-35-984) 2:00PM Existence of pseudo almost automorphic solutions 1:00 PM –5:50PM  (1207) to some classes of nonautonomous partial evolution Preliminary report. Organizers: Alina Bucur, Institute for Advanced equations. Study Toka Diagana, Howard University (1056-34-1149) 2:30PM Chantal David, Concordia University Analytical approaches for solving nonlinear (1208) equations. , University of Alberta Matilde Lalin Wen-Xiu Ma, University of South Florida 1:00PM Real quadratic analogues of traces of singular (1056-35-1397) (1195) moduli. 3:00PM Standing wave solutions of the discrete nonlinear WDuke*, UCLA, O Imamoglu,ETH,andAToth, (1209) Schrodinger¨ equations with site-dependent Eotvos Lorand University (1056-11-1067) nonlinearity. Preliminary report. 1:30PM Periods and L-functions. Guoping Zhang, Morgan State University (1196) Brooke Feigon, University of Toronto (1056-35-1341) (1056-11-1086) 3:30PM On Solvability of Initial-Boundary Value Problems 2:00PM Periods and central values of quadratic base (1210) for Multi-Weighted Parabolic Systems. Preliminary (1197) change L-functions. report. David Whitehouse, Massachusetts Institute of Alexander Kozhevnikov,Univ.ofHaifa,Israel Technology (1056-11-522) (1056-35-24)

166 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

4:00PM Front Behavior for Traveling Wave Solutions of a William Haver,Virginia (1211) Modified Fisher PDE. Commonwealth University Ronald E Mickens, Clark Atlanta University Donald B. Small, U.S.M.A. (1056-35-400) 1:00PM The Chicago Algebra Initiative: A Multi-University 4:30PM Blow-up phenomena due to concentrated nonlinear (1222) Collaboration with the Chicago Public Schools. (1212) sources in RN . Lynn Narasimhan*, DePaul University, and Paul Patcharin Tragoonsirisak, Fort Valley State Sally, University of Chicago (1056-BC-1346) University (1056-35-312) 1:30PM The Chicago Algebra Initiative: Data and Results. 5:00PM Well-posedness and regularity of one phase (1223) David C Jabon*, DePaul University, and Paul J. (1213) Hele-Shaw bubble problem. Preliminary report. Sally, Jr., University of Chicago (1056-BC-1357) , Morgan State University (1056-35-85) Xuming Xie 2:00PM Making the Transition from High School Algebra to 5:30PM Multiple Solutions to an Elliptic Problem Related to (1224) College Algebra. (1214) Vortex Pairs. Erick B Hofacker, University of Wisconsin - River Yi Li*, University of Iowa, Xian Jiaotong University, Falls (1056-BC-2053) and ,CentralChinaNormal Shuangjie Peng 2:30PM MAA/CRAFTY College Algebra Guidelines. University (1056-35-1977)  (1225) Don Small, United States Military Academy 6:00PM Lp Convergence with Rates of Smooth (1056-BC-1183) (1215) Poisson-Cauchy Type Singular Operators. 3:00PM Modeling Based College Algebra at Virginia *and , George A. Anastassiou Razvan A Mezei  (1226) Commonwealth University. University of Memphis (1056-41-37) Bill Haver*andAimee Ellington,Virginia 6:30PM Operator Valued Measures as Feedback Control for Commonwealth University (1056-BC-868) (1216) Stochastic Systems on Hilbert Space. 3:30PM Traversing Bumps Along the Road to a , University of Ottawa Nasiruddin U Ahmed  (1227) Contemporary College Algebra Curriculum. (1056-49-44) Preliminary report. Irene M Haskins, Husson University, Bangor, Maine (1056-BC-1772) AMS Special Session on The Mathematics of Information and Knowledge, II 4:00PM Refocusing and reMODELING College Algebra - A (1228) Team Activity. 1:00 PM –5:40PM Erick B Hofacker, University of Wisconsin - River Falls (1056-BC-2052) Organizers: , University of California Naoki Saito 4:30PM Retention Benefits of Refocused College Algebra. Davis (1229) Bernadette F. Turner*andDonna Stallings, Ronald R. Coifman,YaleUniversity Lincoln University, Jefferson City, MO James G. Glimm, SUNY at Stony Brook (1056-BC-1761) Peter W. Jones,YaleUniversity 5:00PM Studio College Algebra at Kansas State University.  (1230) *, , Mauro Maggioni, Duke University Andrew G Bennett Rachel B Manspeaker Rekha Natarajan and Jennifer Paulhus, Kansas State Jared Tanner, University of Edinburgh University (1056-BC-815) 1:00PM The Power of Convex Relaxation: Near-optimal 5:30PM (1217) Revitalizing Algebra for First-Year College Students: Matrix Completion. (1231) An Attempt to Change Students’ Beliefs and Emmanuel Candes*, Stanford University, and , University of California, Los Angeles Attitudes. Terence Tao Barbara E. Edwards, Oregon State University (1056-90-1503) (1056-BC-1501) 2:00PM Challenges in Computational Medicine and Biology.  (1218) Donald Geman, Johns Hopkins University (1056-92-993) AMS Session on Differential and Difference 3:00PM A Geometric Perspective on Learning Theory and Equations, IV (1219) Algorithms. Partha Niyogi, The University of Chicago 1:00 PM –6:10PM (1056-68-1536) 1:00PM 4:00PM On Stability of Solutions of Fractional Order SEIR A multiscale approach to characterize (1232) (1220) Epidemic Model with Vertical Transmission. macromolecular dynamics and functions. Preliminary report. , Department of Chemistry, Rice Cecilia Clementi *and , Ankara University University (1056-92-1980) Elif Demirci Nuri Ozalp (1056-34-448) 5:00PM Virtual Surgery: Scientific Computing in Real Time.  (1221) , University of California, Los 1:15PM Oscillation of Impulsive Partial Difference Equations Joseph M Teran (1233) Angeles (1056-65-1802) with Continuous Variables. Ravi P. Agarwal, Florida Institute of Technology, and Fatma Karakoc*, Ankara University, Turkey MAA-AMS-MER Invited Paper Session on Mathematics (1056-34-492) and Education Reform, III: Refocusing Algebra: From 1:30PM Analysis and Numerical Solution of a Non-local ODE Middle School to College (1234) Motivated by Flutter. John V. Matthews*andBoris P. Belinskiy, 1:00 PM –5:50PM University of Tennessee at Chattanooga (1056-34-496) Organizers: William H. Barker, Bowdoin College 1:45PM Bounded Error Parameter Identification and the William G. McCallum,Universityof  (1235) Design of Experiments for Models Described by Arizona Ordinary Differential Equations. Preliminary report. Bonnie S. Saunders,Universityof Adam Fletcher Childers, Roanoke College Illinois at Chicago (1056-34-777)

JANUARY 2010 NOTICES OF THE AMS 167 Program of the Sessions – Friday, January 15 (cont’d.)

2:00PM Integral inequalities for certain nonlinear systems 6:00PM The Change in Electric Potential due to Lightning. (1236) on time scales. (1251) Beyza Aslan*, University of North Florida, and Mehmet Unal, Bahcesehir University (1056-34-851) William Hager, University of Florida (1056-35-381) 2:15PM Cyclic Central Configurations in the Four-Body  (1237) Problem. Preliminary report. AMS Session on Mathematics Education Josep Cors, Universitat Polit`ecnica de Catalunya, Glen R. Hall,BostonUniversity,andGareth E. 1:00 PM –3:55PM *, College of the Holy Cross (1056-70-972) Roberts 1:00PM Why should humanities majors have all the fun? 2:30PM Asymptotically Autonomous Differential Inclusions.  (1252) Jane W Hartsfield, American University (1238) Preliminary report. (1056-00-160) Zhivko S. Athanassov, Bulgarian Academy of 1:15PM What are they thinking? Examining the Sciences (1056-34-862)  (1253) mathematical disposition of preservice elementary 2:45PM Dynamics of a segmentation clock model with teachers. (1239) discrete and distributed delays. Charles Adam Feldhaus, Ohio University Peng Feng, Florida Gulf Coast University (1056-97-13) (1056-34-873) 1:30PM Why do children in public and rural primary schools (1254) perform worse in mathematics: unresolved 3:00PM Modeling of Electrostatic-Elastic Membrane Systems (1240) Motivated by MEMS Devices. questions on equitable access to early childhood J. Regan Beckham, University of Texas at Tyler education? (1056-34-1174) A. N. Meremikwu, University of Calabar Nigeria (1056-97-209) 3:15PM Oscillation criteria for some types of second order 1:45PM Local Research Experience for Undergraduates YSU (1241) nonlinear dynamic equations.  (1255) in the summer of 2008. Preliminary report. *, Georgia Southern University, Billur Kaymakcalan Jacek Fabrykowski, Youngstown State University Ravi P. Agarwal, Florida Institute of Technology, (1056-97-305) Said R. Grace,CairoUniversity,andWichuta 2:00PM Sae-jie, Mahidol University, Examples of a Mathematical Habit of the Mind and (1056-34-1221)  (1256) its effect on Students. Richard Millman, Georgia Institute of Technology 3:30PM Solutions of the Nonlinear Schrodinger¨ Equation (1056-97-465)  (1242) Preliminary with Prescribed Asymptotics at Infinity. 2:15PM report. Undergraduate Research and Service Learning  (1257) Projects Developed from Institutional Research John Bernard Gonzalez, Northeastern University (1056-35-1987) Questions. Maria Zack*andGreg Crow, Point Loma Nazarene 3:45PM Dirichlet forms on Laakso Spaces. University (1056-97-846) (1243) Benjamin Steinhurst, University of Connecticut 2:30PM Use of ConcepTests and Voting in Upper Division (1056-34-1368)  (1258) Math Courses. 4:00PM Existence of solutions for impulsive integral David O Lomen, University of Arizona (1244) boundary value problems of fractional order. (1056-97-1889) Seenith Sivasundaram, ERAU (1056-34-1434) 2:45PM Social Network Surveys in Math and Science  (1259) 4:15PM Models of two-patch predator-prey community Education. , , *, (1245) dynamics. Carole Basile Steve Culpepper Steven Di Lisio and ,Universityof Faina Berezovskaya,HowardUniversity Adam Ruff Diana White (1056-34-1665) Colorado at Denver (1056-97-1914) 3:00PM Mathematics majors’ belief about mathematics 4:30PM Oscillation criteria for second order dynamic (1260)  (1246) after taking a methods of proof class and inclusions. professors’ belief about the effectiveness of such a Elvan Akin-Bohner, Missouri University of Science and Technology (1056-34-1838) class. Elsa Medina,CalPolySanLuisObispo 4:45PM Break. (1056-97-2070) 5:00PM Mathematical analysis of synchronization of 3:15PM Trends in Statistics PhD Graduates.  (1247) pacemaker cells in mammals. (1261) Pam Arroway*andAshley Swandby, Department Menaka B Navaratna*, Florida Gulf Coast of Statistics, North Carolina State University University, and Channa N Navaratna, Indiana (1056-00-1595) University of Pennsylvania (1056-34-1229) 3:30PM Unshackling Linear Algebra from Linear Notation.  (1262) , United States Military Academy 5:15PM Analysis of radial stagnation flow toward a Elisha Peterson (1056-15-1231) (1248) stretching cylinder. Antonio Mastroberardino*andJoseph E 3:45PM Disruption of Symmetry Creates New Symmetries. Paullet, Penn State Erie, The Behrend College  (1263) Preliminary report. (1056-34-1852) Robert M. Sulman, Central Methodist University (1056-00-1232) 5:30PM Parameter Dependency on the Period of the  (1249) Solutions for the Duffing Equation with Double-well Potential. Preliminary report. AMS Session on Dynamical Systems Ben T Nohara*andAArimoto,TokyoCity University (1056-34-2043) 1:00 PM –5:25PM 5:45PM Conditions for the Existence of a Steady State 1:00PM Computation of Heteroclinic Arcs for (1250) Solution for a Competition System of Plankton  (1264) Diffeomorphisms of R3. Population. J. D. Mireles-James*, University of Texas, at Austin, Chihchien Yu, University of Arkansas - Fort Smith and Hector Lomeli, ITAM, Mexico City, Mexico (1056-37-261) (1056-37-45)

168 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

1:15PM Scattering of solitary waves in the AMS Session on Computational Mathematics, II (1265) Fermi-Pasta-Ulam lattice. Preliminary report. , Boston University (1056-37-103) Aaron Hoffman 1:00 PM –5:40PM 1:30PM Semigroups of matrices with dense orbits.  (1266) Preliminary report. 1:00PM Reconstructing physical parameters in systems of Mohammad Javaheri, Trinity College (1281) reaction-diffusion equations in electrocardiology. (1056-37-137) Yuan He*andDavid E Keyes, Department of Applied Physics and Applied Mathematics, 1:45PM Mathematical Analysis of Dengue Treatment Model Columbia University (1056-65-1058) (1267) with Variable Viral Load. Salisu Mohammed Garba, University of Manitoba 1:15PM Truncated Incomplete Hessian Newton Minimization (1056-37-293)  (1282) with Application to Biomolecular Potential Energy 2:00PM Model of The Drosophila Circadian Clock: Loop Function. *and , (1268) Regulation and Transcriptional Integration. Mazen George Zarrouk Dexuan Xie University of Wisconsin - Milwaukee (1056-65-1125) Hassan M Fathallah-Shaykh*, University of Alabama at Birmingham, and , Jerry L Bona 1:30PM Fast Solvers for Models of Steady Fluid Flow. University of Illinois at Chicago (1056-37-693)  (1283) P. A. Lott*, National Institute of Standards & 2:15PM Break Technology, and H. C. Elman,Universityof Maryland, College Park (1056-65-1182) 2:30PM Dynamics of semigroups of Moebius  (1269) transformations. Preliminary report. 1:45PM Fighting Gibbs’ phenomenon through quotienting. Sebastian M Marotta*, University of the Pacific,  (1284) Preliminary report. David Fried,BostonUniversity,andRich Jean-Paul Berrut, University of Fribourg, Stankewitz, Ball State University (1056-37-793) Switzerland (1056-65-1185) 2:45PM Towards billiards of the Koch snowflake. 2:00PM Numerical solutions of fourth order boundary value  (1270) Preliminary report.  (1285) problems using Bernoulli polynomials. Preliminary Robert G. Niemeyer*andMichel L. Lapidus,UC report. Riverside (1056-37-820) Md Shafiqul Islam, University of Dhaka 3:00PM Asymptotics of Grow-Up Solutions and Global (1056-65-1223) (1271) Attractors for Slowly Non-Dissipative PDEs. 2:15PM Preliminary report. Solving two-dimensional linear and nonlinear  (1286) Volterra integral equations by the differential Nitsan Ben-Gal, Brown University (1056-37-1073) transform method. 3:15PM One-parameter interval exchange actions. Jang Bongsoo, Ulsan National Institute of Science (1272) Christopher F Novak,Universityof and Technology (UNIST) (1056-45-1025) Michigan-Dearborn (1056-37-1187) 2:30PM Signal Fraction Analysis with Constraints and 3:30PM Extreme value theory for some dynamical systems. (1287) Extensions. (1273) Preliminary report. Fatemeh Emdad*, The University of Texas Medical Chinmaya Gupta*, University of Houston, Mark Branch, and Michael Kirby, Colorado State Holland, University of Exeter, and Matthew Nicol, University (1056-00-1188) University of Houston (1056-37-1243) 2:45PM Reduced Basis Element Method for 2D Maxwell’s 3:45PM Evolving a Smooth Curve of Initial Conditions Under (1288) Problem. (1274) a Time-Dependent Two-Dimensional ODE. *, ,BrownUniversity, *, William Paterson University, and Yanlai Chen Jan S. Hesthaven Paul von Dohlen and Yvon Maday, Brown University and Paris 6 Patrick Miller, Stevens Institute of Technology (1056-65-1298) (1056-37-1460) 3:00PM 4:00PM Newton methods for analysis of the Model and Optimization of Organic Photovoltaic  (1289) (1275) replicator equation. Cells. *, Macalester College, Faina Berezovskaya*, Howard University, Artem Amelia McNamara Jordan , University of Minnesota-Twin Cities, and Novozhilov and Georgy Karev, National Institutes Seering Yi of Health, Bethesda, MD (1056-37-1686) Zeng, University of Illinois at Urbana-Champaign (1056-65-1301) 4:15PM Speedups of Ergodic Group Extensions. (1276) Andrey Babichev*, California State University, 3:15PM Higher order Strang split integral deferred Fresno, and Adam Fieldsteel, Wesleyan University (1290) correction methods for Vlasov equations. (1056-37-1847) Preliminary report. Andrew Christlieb, Maureen Morton*, Michigan 4:30PM Combinatorial Classification of Cubic Polynomials State University, and Jing-Mei Qiu, Colorado School (1277) with a fixed Siegel Disk. Preliminary report. of Mines (1056-65-1345) Ross M Ptacek*andJohn C Mayer,Universityof Alabama at Birmingham (1056-37-1942) 3:30PM Computing Laser Ablation by a Finite-Volume (1291) 4:45PM The Maximal Inequality and the Ergodic Theorem Method. *, , North Carolina State (1278) for Discrete Hausdorff Means. Preliminary report. Sean Cohen Alina Chertock University, and , Constantine Georgakis,DePaulUniversity V. A. Trofimov I. A. Shirokov (1056-37-1994) Moscow State University (1056-65-1418) 5:00PM Renormalization and lower-dimensional Brjuno 3:45PM Break (1279) invariant tori of Hamiltonian systems. 4:00PM A Discontinuous Galerkin Solver for Full- *, University of Toronto, and , Sasa Kocic Hans Koch (1292) Boltzmann-Poisson Models. University of Texas at Austin (1056-37-2021) Yingda Cheng*, Irene M Gamba,Universityof 5:15PM Symbolic Dynamics for Nonhyperbolic Systems. Texas at Austin, Armando Majorana,Universit‘adi (1280) David Richeson*, Dickinson College, and Jim Catania, and Chi-Wang Shu,BrownUniversity Wiseman, Agnes Scott College (1056-58-1811) (1056-65-1490)

JANUARY 2010 NOTICES OF THE AMS 169 Program of the Sessions – Friday, January 15 (cont’d.)

4:15PM Reconstruction of thin tubular inclusions in 3:15PM Topology of invariant subspace lattice of shift (1293) three-dimensional domains using electrical (1307) operators in higher dimensions. impedance tomography. Shonia Giorgi, Ohio University Lancaster Roland Griesmaier, University of Delaware (1056-47-1399) (1056-65-1548) 3:30PM Quantum analog of Donoho-Stark Uncertainty 4:30PM Delaunay refinement methods for FSI systems (1308) Principle. (1294) undergoing changes in topological properties. Genady Grabarnik, York College, CUNY, NY Preliminary report. (1056-47-1451) , United States Military Academy Edward W. Swim 3:45PM Convex and Nonsmooth Analysis of Minimal Time (1056-65-1713) (1309) Functions in Banach Spaces. 4:45PM Resilient Modulus Modeling with information theory Mau Nam Nguyen, University of Texas-Pan (1295) approach. American (1056-49-421) *, and Ali S. Shaqlaih Luther White Musharraf 4:00PM Crossed Products by Automorphisms with the , University of Oklahoma (1056-65-1780) Zaman (1310) Tracial Quasi-Rokhlin Property. 5:00PM Numerical Study of a Quantum Memory Model. Julian Michael Buck, University of Oregon  (1296) Preliminary report. (1056-47-1754) *, Alma College, and Charles N. Cook Maria 4:15PM n-symmetric Linear Transformations and von , George Mason University Emelianenko (1311) Neumann algebras. Preliminary report. (1056-65-1781) Mark Stankus, California Polytechnic State 5:15PM Domain decomposition method for solving University Of San Luis Obispo (1056-47-1853)  (1297) three-dimensional parabolic partial differential 4:30PM Computing the C*-algebra of an inverse semigroup equations. (1312) with the Munn representation. , University of West Alabama Younbae Jun David Milan, University of Texas at Tyler (1056-65-1873) (1056-47-2107) 5:30PM ∗ The Rapid Advance and Slow Retreat of a Mushy 4:45PM Recursive Decomposition of a C -subalgebra of (1298) Zone. Preliminary report. (1313) C∗( ) Preliminary report. *and ,Universityof R,X . Nicholas Gewecke Tim Schulze Hutian Liang, University of Oregon (1056-47-2124) Tennessee, Knoxville (1056-86-269) 5:00PM On the Nonpositive Solution of the Nonlinear (1314) Inverse Autoconvolution Problem. AMS Session on Functional Analysis and Operator ZDai*, Alma College, and PKLamm,Michigan Theory, II State University (1056-45-1010) 5:15PM Good Lambda Inequality and Riesz potentials for 1:00 PM –5:40PM  (1315) Non Doubling Measures in Rn. Preliminary report. ∞ , Kansas State University 1:00PM Weighted Composition Operators from H to the Mukta B. Bhandari (1056-42-709) (1299) Bloch Space of a Bounded Homogeneous Domain. Preliminary report. 5:30PM Generalized Convolution Systems: Axioms and Robert F. Allen*, University of Wisconsin – La (1316) Properties. Crosse, and Flavia Colonna,GeorgeMason Adam W Parr, University of the Virgin Islands University (1056-47-309) (1056-43-1816) 1:15PM Eigenvalues for Perturbations of Densely Defined (1300) Linear Maximal Monotone Operators. Preliminary report. MAA Session on Arts and Mathematics, I Dhruba R Adhikari*, Mississippi University for Women, and Athanassios G Kartsatos,University 1:00 PM –5:55PM of South Florida (1056-47-577) 1:30PM An induced diffusion distance. Preliminary report. Organizer: Douglas E. Norton, Villanova (1301) Maxim J. Goldberg, Ramapo College of NJ, and University Seonja Kim*, SUNY Rockland Community College 1:00PM A Brief Study of Modularity in Mosaic Designs. (1056-47-1005)  (1317) Reza Sarhangi, Towson University (1056-C1-301) 1:45PM The Generalized Degree for Multifunctions 1:20PM Conformal Models of Hyperbolic Geometry. (1302) Perturbations of Maximal Monotone Operators and  (1318) Preliminary report. Applications. Vladimir L. Bulatov, Corvallis, OR (1056-C1-950) , Murray State University Boubakari Ibrahimou 1:40PM Exploring Chaotic Patterns in Chinese Landscape (1056-47-1008)  (1319) Paintings by Structural Cloning Method. Preliminary 2:00PM Spectral Analysis of Conjugate Self-Adjoint report.  (1303) Operators. Preliminary report. Mingjang Chen, Center for General Education, Zhong Wang*, Zhaoqing University, and Hongyou National Chiao-Tung University (1056-C1-177) Wu, NIU (1056-47-1099) 2:00PM The Joy of the Curve. 2:15PM Break.  (1320) Susan A. McBurney, Western Springs, Illinois 2:30PM Kinds of pseudomonotonocitiy in study of (1056-C1-299) (1304) variational inequalities. 2:20PM Empirical Origin of the Design Concepts and the Dan D. Pascali, Courant Institute, New York  (1321) Euclidean Geometry. University (1056-47-1142) Fatma Mete*, Department of Fiber Science and ∗ 2:45PM Fixed Point Composition C -algebras. Apparel Design, Cornell University, and Osman (1305) Katie Spurrier Quertermous, University of Virginia Yurekli, Ithaca College (1056-C1-1580) (1056-47-1165) 2:40PM Projective Geometry and The Art of The 3:00PM Function theory on a quantum domain.  (1322) Renaissance. (1306) Meghna Mittal, University of Houston Meighan I. Dillon, Southern Polytechnic State (1056-47-1375) University (1056-C1-461)

170 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

3:00PM Modular Perspective in The Music Lesson by 1:45PM Can Instructors Award Partial Credit on Multiple  (1323) Vermeer. Preliminary report. (1337) Choice Questions? Helmer Aslaksen, National University of Singapore Janet L. Braunstein*andEdward W. Swim, (1056-C1-591) United States Military Academy at West Point (1056-Z1-1992) 3:20PM Digital roots, Vedic multiplication and Fibonacci (1324) numbers. 2:00PM Refocused College Algebra at Harris-Stowe State Fatma Mete, Cornell University, and Yurekli  (1338) University. Preliminary report. Osman*, Ithaca College (1056-C1-1457) Ann Podleski, Harris-Stowe State University 3:40PM Dancing in Mathematical Circles. (1056-Z1-2042)  (1325) Karl H. Schaffer, De Anza College, Dr. Schaffer and 2:15PM The Impact of Additional Mathematics Support on Mr. Stern Dance Ensemble (1056-C1-2010) (1339) Student Performance. 4:00PM Dancing and Groups: An Active Activity. Preliminary Ciar´an Mac an Bhaird*andAnn O’Shea,National  (1326) report. University of Ireland Maynooth (1056-Z1-2119) Melanie Anne Pivarski, Roosevelt University 2:30PM History of The Return of Applications in (1056-C1-749)  (1340) Undergraduate Mathematics in the United States. 4:20PM The Great Calculus II Art Contest. Walter Meyer, Adelphi University (1056-Z1-357) (1327) , Knox College (1056-C1-2011) Pedro Teixeira 2:45PM 50 years of College Math. Have I learned anything? 4:40PM Measuring Complexity of d-Note Pitch Collections  (1341) Preliminary report.  (1328) Within a c-Note Chromatic Universe. Bryan V. Hearsey, Lebanon Valley College Joshua P. Case, University of Maine at Farmington (1056-Z1-368) (1056-C1-1246) 3:00PM One of the first mathematical texts of the Jewish 5:00PM A Mathematical Tour of Baltimore. (1342) Bookcase.  (1329) Robert Edward Lewand, Goucher College Greisy Winicki Landman, Cal Poly Pomona (1056-C1-157) (1056-Z1-288) 5:20PM The topology of Jorge Luis Borges’ Library of Babel. 3:15PM New Materials on History of Mathematics. (1330) William Goldbloom Bloch, Wheaton College  (1343) Satish C. Bhatnagar, University of Nevada Las (1056-C1-872) Vegas (1056-Z1-1712) 5:40PM Once upon a time there was ... A epistemological 3:30PM Mathematicians Card and Poster. Preliminary  (1331) “fable” of music and mathematics.  (1344) report. Rosanna Iembo*, International Institute of Sang-Gu Lee and Kyung-Won Kim*, Sungkyunkwan Informatics and Systems, Orlando, Florida, USA; University (1056-Z1-1517) University of Calabria, Italy, and Irene Iaccarino, Crotone, Italy (1056-C1-1020) 3:45PM The Elements of Euclid.  (1345) Meighan I. Dillon, Southern Polytechnic State University (1056-Z1-456) 4:00PM British Royal Society: A Fraternity of MAA Session on Undergraduate Mathematical  (1346) Experimentalists. Biology, II Donna M Pierce, Whitworth University (1056-Z1-354) 1:00 PM –1:35PM 4:15PM History as a meaning-making tool: Illuminating Organizers: Timothy D. Comar, Benedictine (1347) prospective mathematics teachers’ knowledge of University algebra. Raina S. Robeva, Sweet Briar College Kathleen M Clark, Florida State University (1056-Z1-1440) 1:00PM Predictive Modeling in Quantitative Biology.  (1332) Jeff R Knisley, East Tennessee State University 4:30PM Winifred Edgerton Merrill—She Opened Doors. (1056-Q5-1531)  (1348) Susan E. Kelly*, University of Wisconsin- La Crosse, and , University of Northern Colorado 1:20PM Sarah Rozner Modeling the Spread of Disease in Undergraduate (1056-Z1-1817)  (1333) Microbiology. Angela B. Shiflet*andGeorge W Shiflet, Wofford 4:45PM Mihailo Petrovic and his interval mathematics. College (1056-Q5-1988)  (1349) Preliminary report. Radoslav M. Dimitric, Pittsburgh (1056-Z1-127)  ∞ n 5:00PM The Orthogonal Tower for Σ Emb( m D ,V). MAA Session on General Contributed Papers, VIII (1350) Preliminary report. Nicholas Hamblet, University of Virginia (1056-Z1-1597) 1:00 PM –5:55PM 5:15PM Well Behaved Rotation About Planar Non-linear Organizers: , Appalachian State Eric S. Marland  (1351) Curves: An analysis of the volume and uniqueness University of a solid swept out by rotation about a non-linear Daniel J. Curtin, Northern Kentucky axis. Preliminary report. University AdamVLewicki*andRobert Whitton,Davidson 1:00PM SIGMAA-QL 2009 Quantitative Literacy Survey: College (1056-Z1-1543)  (1334) Preliminary Results. Preliminary report. 5:30PM Three Simple Questions about Tetrahedra. Milo Schield, Augsburg College (1056-Z1-1088)  (1352) Preliminary report. 1:15PM Teaching a Senior Seminar in Humanistic Charles Waiveris, Central Connecticut State (1335) Mathematics. University (1056-Z1-1081) *and , Appalachian Sarah J Greenwald Eric Marland 5:45PM Why Automobile Sunshades Fold Oddly: An State University (1056-Z1-182)  (1353) Intruiging Application of Topology. 1:30PM Reflection Papers on the Big Ideas. Curtis Feist*, Southern Oregon University, and  (1336) Jeremy Case, Taylor University (1056-Z1-1448) Ramin Naimi, Occidental College (1056-Z1-1355)

JANUARY 2010 NOTICES OF THE AMS 171 Program of the Sessions – Friday, January 15 (cont’d.)

MAA Session on Philosophy of Mathematics for 3:00PM Textbooks as Sage Notebooks. Working Mathematicians  (1368) Robert A Beezer, University of Puget Sound (1056-N5-1050) 1:00 PM –4:45PM 3:20PM MathJax: a JavaScript-based engine for including (1369) TeX and MathML in HTML. Organizers: Bonnie Gold, Monmouth University Davide P Cervone, Union College (1056-N5-1947) Carl Behrens, Alexandria, Virginia 3:40PM WebKit + MathML. 1:00PM What Is the Character of Mathematical Law? (1370) R. Alexander Milowski, San Francisco, CA  (1354) James R Henderson, University of Pittsburgh at (1056-N5-1505) Titusville (1056-M5-259) 4:00PM MathType, Math Markup, and the Goal of Cut and 1:30PM John Stuart Mill’s “Pebble Arithmetic” and the  (1371) Paste.  (1355) Nature of Mathematical Objects. Robert R Miner, Design Science, Inc. Carl E. Behrens, Alexandria, VA (1056-M5-596) (1056-N5-1504) 2:00PM Dummett Down: Intuitionism and Mathematical 4:20PM MathML 3.0.  (1356) Existence. Preliminary report. (1372) Patrick D. F. Ion,MathematicalReviews/AMS Thomas Drucker,Universityof (1056-N5-1271) Wisconsin–Whitewater (1056-M5-1635) 4:40PM Revising the MSC (Mathematics Subject 2:30PM The Articulation of Mathematics—A (1373) Classification).  (1357) Pragmatic/Constructive Approach to The Patrick D. F. Ion,MathematicalReviews/AMS Philosophy of Mathematics. Preliminary report. (1056-N5-1278) , Humboldt State University Martin E Flashman 5:00PM Tiddly Geometry. Preliminary report. (1056-M5-1771) (1374) Patrick D. F. Ion,MathematicalReviews/AMS 3:00PM Molyneux’s Problem. Preliminary report. (1056-N5-1262)  (1358) Lawrence A. D’Antonio, Ramapo College of New Jersey (1056-M5-445) 3:30PM Mathematical practice and the philosophy of MAA Session on Research on the Teaching and  (1359) Preliminary report. mathematics. Learning of Undergraduate Mathematics, I Jeff Buechner, Dept. Philosophy; Rutgers University-Newark and The Saul Kripke Center, 1:00 PM –4:55PM CUNY, The Graduate Center (1056-M5-1015) 4:00PM Being a Realist Without Being a Platonist. Organizers: Keith Weber,RutgersUniversity  (1360) Preliminary report. Stacy Brown, Pitzer College Daniel C. Sloughter, Furman University Natasha A. Speer, University of Maine (1056-M5-444) Karen A. Marrongelle, Portland State 4:30PM An analysis of the notion of natural number. University  (1361) Ruggero Ferro, University of Verona, Italy 1:00PM (1056-M5-1918) Appropriating New Definitions: The Case of  (1375) Lipschitz Functions. Jessica L Knapp, Pima Community College (1056-P5-1952) 1:40PM MAA Session on Publishing Mathematics on the Web Undergraduate students’ assessment of the  (1376) persuasiveness of mathematical arguments: Beyond private and public senses of conviction. 1:00 PM –5:15PM Juan Pablo Mejia Ramos*, Rutgers University, and Organizers: Thomas E. Leathrum, Jacksonville Matthew Inglis, Loughborough University State University (1056-P5-1350) William F. Hammond,TheUniversity 2:20PM A design of instructional interventions for the at Albany (1377) resolution of cognitive dissonance in an advanced Kyle T. Siegrist, University of Alabama calculus class. in Huntsville Kyeong Hah Roh, Arizona State University (1056-P5-2068) 1:00PM A multimedia document workflow using docutils.  (1362) Preliminary report. 2:40PM Between construction and communication: What  (1378) Preliminary report. Matthew Leingang, New York University goes into revising a proof? (1056-N5-630) Yvonne Lai*, University of Michigan, and Keith H Weber, Rutgers University (1056-P5-1343) 1:20PM Displaying Mathematics with Plain HTML. 3:00PM  (1363) Claus Schubert, SUNY Cortland (1056-N5-341) Examples, Uncertainty, & Skepticism: An (1379) Examination of the Underpinnings of An Intellectual 1:40PM The Importance of Good Source Markup. Need for Proof.  (1364) , University at Albany (SUNY) William F. Hammond Stacy A. Brown, Pitzer College (1056-P5-1488) (1056-N5-712) 3:20PM Understanding mathematical proofs: What does it 2:00PM Customizing and Extending Content MathML. (1380) mean and how can it be assessed? Preliminary (1365) Preliminary report. report. Kyle T Siegrist, University of Alabama in Huntsville Evan Fuller*, Montclair State University, Keith (1056-N5-1662) Weber, Pablo Mejia-Ramos, Kathryn Rhoads, 2:20PM Math Authoring for the Web Made Easier. Rutgers, Robert Search, Centenary College, and  (1366) Thomas E Leathrum, Jacksonville State University Aron Samkoff, Rutgers (1056-P5-753) (1056-N5-547) 3:40PM Clarifying the Stages of Mathematical Defining: 2:40PM An RIA Approach to Web Mathematics.  (1381) Gestation and Presentation.  (1367) Donald W. DeLand, Integre Technical Publishing Paul Christian Dawkins, University of Texas at (1056-N5-1809) Arlington (1056-P5-1151)

172 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

4:00PM Examining Undergraduate Students’ Reading and 1:00PM Liquidation of a large block of stock with regime  (1382) Use of Mathematics Textbooks. (1395) switching. Angie Hodge*andRyan Hiltner, North Dakota Moustapha N. Pemy*, Towson University, Q State University (1056-P5-2022) Zhang, University of Georgia, and GYin,Wayne 4:20PM An Example of a Non-traditional Pedagogy in an State University (1056-49-469)  (1383) Abstract Algebra Class: What is the effect on 1:30PM Third Graders’ Strategies and Preferences for student motivation?  (1396) Solving Arithmetic Problems: A Gender Difference Tim Fukawa-Connelly,UniversityofNew Study. Hampshire (1056-P5-184) Nicola D. Edwards-Omolewa, Delaware State University (1056-97-702) 4:40PM The role of e-assessment in student learning in  (1384) mathematics. Preliminary report. 2:00PM Parametric Copula Models for Markovian Processes, Douglas Quinney, University of Keele, UK (1397) for African-American Male Career Heuristics. (1056-P5-32) Kobi A. Abayomi*, Georgia Institute of Technology, School of Industrial Engineering - Statistics Group, Lee Hawkins, Wall Street Journal/CNBC, and SIAM Minisymposium on Graph Theory, II Kenneth Land, Duke University (1056-62-1026) 2:30PM Calculating target Cataract Surgical Rates for 1:00 PM –5:55PM  (1398) Africa. Organizers: Andre Kundgen, California State Talithia D Williams, Harvey Mudd College University San Marcos (1056-62-1374) 3:00PM Hal Kierstead, Arizona State University Brownian motion indexed by a time scale and its (1399) applications. 1:00PM Equitable list coloring of graphs with low maximum Suman Sanyal, Marshall University (1056-60-1340) (1385) degree. Preliminary report. H. A. Kierstead, Arizona State University, and A. V. Kostochka*, University of Illinois at AMS-MAA Committee on Teaching Assistants and Urbana-Champaign (1056-05-723) Part-Time Instructors Panel Discussion 1:30PM Hamiltonian Square Cycle in Ore-type Graphs. 1:00 PM –3:00PM (1386) Phong Q Chau, Arizona State University (1056-05-1511) Becoming a teacher of college mathematics: Video 2:00PM Tiling in Multipartite Graphs. cases for novice college mathematics instructor (1387) Ryan Martin, Iowa State University (1056-05-333) professional development. 2:30PM Decompositions of graphs and hypergraphs. Organizers: John D. Eggers,Universityof  (1388) Sebastian M Cioab˘a, University of Delaware California San Diego (1056-05-1146) Shandy Hauk,UniversityofNorthern 3:00PM Distributed algorithms and graph theory. Colorado (1389) Andrzej Czygrinow, Arizona State University Mark K. Davis,UniversityofNorthern (1056-68-908) Colorado 3:30PM Adjacency Posets of Planar Graphs. Eric Hsu, San Francisco State (1390) Stefan Felsner, Chingman Li, Institut fur¨ University Mathematik, Technische Universit¨at Berlin, Natasha M. Speer, University of Maine and *, Georgia Institute of William T. Trotter Panelists: Eric Hsu Technology (1056-05-1582) David E. Meel, Bowling Green State 4:00PM On extremal problems in a Boolean lattice. University (1391) Preliminary report. Maria Axenovich*, Jacob Manske and Ryan Natasha M. Speer Martin, Iowa State University (1056-05-1254) AMS Session on Algebras, I 4:30PM Maker-Breaker Games: Building a Big Chain in a (1392) Poset. 1:15 PM –5:55PM Daniel Cranston*, Virginia Commonwealth University, Bill Kinnersley, Kevin Milans, Greg 1:15PM Idempotents and Annihilators in Endomorphism Puleo and Douglas West, University of Illinois, (1400) Rings of Modules. Preliminary report. Urbana-Champaign (1056-05-441) Gangyong Lee*, The Ohio State University, S. Tariq 5:00PM Degree Ramsey Numbers of Graphs. Preliminary Rizvi and Cosmin S. Roman,TheOhioState  (1393) report. University at Lima (1056-16-112) Tao Jiang, Miami University, Ohio, Bill Kinnersley, 1:30PM On dualizing the notion of slenderness. Preliminary Kevin G. Milans*andDouglas B. West,University (1401) report. of Illinois at Urbana-Champaign (1056-05-558) Radoslav M. Dimitric, Pittsburgh (1056-16-129) 5:30PM Spanning cycles through specified edges in bipartite 1:45PM Rings and Covered Groups. Preliminary report. (1394) graphs. (1402) G. Alan Cannon, Southeastern Louisiana University, Reza Zamani and Douglas B. West*, University of C. J. Maxson, Texas A&M University, and Kent M. Illinois (1056-05-955) Neuerburg*, Southeastern Louisiana University (1056-16-412) 2:00PM Indecomposable division algebras over function NAM Granville-Brown-Hayes Session of Presentations  (1403) fields of smooth p-adic curves. by Recent Doctoral Recipients in the Mathematical Feng Chen, Emory University (1056-16-998) Sciences 2:15PM Break 2:30PM Preliminary report. 1:00 PM –3:25PM On skew power series rings. (1404) Linhong Wang, Southeastern Louisiana University Organizer: Dawn Lott, Delaware State University (1056-16-1353)

JANUARY 2010 NOTICES OF THE AMS 173 Program of the Sessions – Friday, January 15 (cont’d.)

2:45PM A decomposition of the Dynkin idempotent in the 2:00PM What I Learned about Using Online Homeworks (1405) Hopf algebra of graphs. Preliminary report.  (1418) from Student Feedback. Forest Fisher*andWilliam Schmitt,TheGeorge Laura A. McSweeney, Fairfield University Washington University (1056-16-1369) (1056-M1-1170) 3:00PM Unit-regular Skew Group Rings. 2:20PM Increasing Student Success Using Online Homework. (1406) Kathi Crow, American University in  (1419) Preliminary report. (1056-16-1563) Tina Alves Mancuso, The Sage Colleges (1056-M1-1611) 3:15PM A combinatorial approach to the description of  (1407) endomorphism rings. Preliminary report. 2:40PM Using WeBWorK in Linear Algebra. Jose A. Velez-Marulanda,UniversityofIowa (1420) Thomas R Hagedorn*andKaren Clark,The (1056-16-1656) College of New Jersey (1056-M1-1706) 3:30PM Action of the symmetry group of the n-dimensional 3:00PM Using Online Homework and Data Mining to Assess (1408) hypercube on the algebra associated to the Hasse  (1421) Student Learning in Mathematics Courses. graph of the n-cube. Preliminary report. Preliminary report. Colleen Duffy, University of Wisconsin - Eau Claire Michael B Scott, California State University, (1056-16-1814) Monterey Bay (1056-M1-2044) 3:45PM Break 3:20PM Online Homework—Does It Work? Preliminary  (1422) report. 4:00PM Periodicity of quadratic differential equations in , Hawaii Pacific University (1409) nonassociative algebras and dimensions of Ronnie P Crane (1056-M1-2071) subalgebras. Nora C. Hopkins, Indiana State University 3:40PM The Utilization of Discussion Boards for Homework (1056-17-120)  (1423) in an Interactive Delivery Course: Linear Algebra and Differential Equations. 4:15PM (  ( )) On Demazure Crystals of Uq sl n . Stephanie A. Swainston*andBrynja R. Kohler, (1410) Julie C Beier, Mercer University (1056-17-183) Utah State University (1056-M1-1862) 4:30PM Nilpotent Orbit Theory and Infinitesimal Blocks of 4:00PM Implementing Online Homework and Quizzes in a (1411) O Preliminary report. Parabolic Category . (1424) Pre-Calculus Course: Challenges and Rewards. Kenyon J Platt*, Brigham Young University, and Preliminary report. , University of Minnesota Bobbe J Cooper Ann E Moskol, Rhode Island College (1056-17-245) (1056-M1-2029) 4:45PM Properties of the Frattini Subalgebra in a Lie 4:20PM Common Innovative Uses of Online Homework (1412) Preliminary report. algebra.  (1425) Systems Webassign, MyMathLab, and WebWork. Kristen Stagg, North Carolina State University Preliminary report. (1056-17-363) Semail Ulgen Yildirim,NorthwesternUniversity 5:00PM Multipliers of Lie Algebras of Maximal Class. (1056-M1-1841) (1413) Preliminary report. 4:40PM The “Third Wave” of WeBWorK Assessment. Lindsey R Bosko, North Carolina State University  (1426) Preliminary report. (1056-17-364) Vicki J Roth*, University of Rochester, and 5:15PM Blocked and Group-Graded Matrix Constructions Flora McMartin, Broad-Based Knowledge, LLC (1414) from Directed Graphs. Preliminary report. (1056-M1-1163) Kenneth L Price*andStephen Szydlik,University of Wisconsin Oshkosh (1056-17-801) MAA Minicourse #11: Part B 5:30PM Multipliers for the Nilpotent Series of Strictly Upper (1415) Triangular Matrices. Preliminary report. 2:15 PM –4:15PM Louis A. Levy, Millersville University (1056-17-1729) The mathematics of Islam and its use in the teaching of mathematics. 5:45PM Tiling spaces and the Baum Connes Conjecture. Organizer: , University of the District (1416) Preliminary report. Victor J. Katz of Columbia Semail Ulgen Yildirim,NorthwesternUniversity (1056-19-559) MAA Minicourse #12: Part B

ASL Invited Address 2:15 PM –4:15PM Learning discrete mathematics via historical 2:00 PM –2:50PM projects. (1417) Randomness and computational strength. Organizers: Jerry M. Lodder,NewMexicoState Joseph S. Miller, University of Wisconsin-Madison University (1056-03-71) Guram Bezhanishvili,NewMexico State University David Pengelley,NewMexicoState MAA Session on Online Homework—Innovation and University Assessment, III MAA Minicourse #6: Part B 2:00 PM –4:55PM 2:15 PM –4:15PM Organizers: Michael E. Gage,Universityof Rochester Developing departmental self-studies. Arnold K. Pizer,Universityof Organizers: Donna L. Beers, Simmons College Rochester Nancy Baxter Hastings,Dickinson Vicki Roth, University of Rochester College

174 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Friday, January 15 – Program of the Sessions

Rocky Mountain Mathematics Consortium Board of 4:30PM Permutations with Ascending and Descending Directors Meeting (1435) Blocks. Jacob N Steinhardt, Massachusetts Institute of 2:15 PM –4:10PM Technology (1056-05-979) 4:45PM Generalized Oval Derivation. MAA Presentations by Teaching Award Recipients (1436) Timothy L Vis, University of Colorado Denver (1056-05-997) 2:30 PM –4:00PM 5:00PM Potential-Based Strategies for Breaker for  (1437) Organizers: Martha J. Siegel,TowsonUniversity Maker-Breaker Tic-Tac-Toe on the Integer Lattice , Macalester with Numerous Directions. David M. Bressoud *, Western Oregon University, and College Klay Kruczek Eric Sundberg, Occidental College (1056-91-1917) 2:30PM What we are doing at BYU to increase the number 5:15PM A winning strategy for Maker in the Maker-Breaker  (1427) of students taking mathematics courses and (1438) version of Tic-Tac-Toe on the integer lattice with becoming math majors. , Brigham Young University numerous winning line directions. Michael Dorff *, Occidental College, and (1056-A0-623) Eric Sundberg Klay Kruczek, Western Oregon University 2:30PM Ask Good Questions. (1056-05-1951)  (1428) Allan J. Rossman, California Polytechnic State University - San Luis Obispo (1056-A0-767) 5:30PM Extremal functions of excluded block permutation (1439) matrices. 2:30PM Lessons learned in the teaching and learning of Adam C Hesterberg, Princeton University  (1429) mathematics. (1056-05-1113) Curtis D. Bennett, Loyola Marymount University (1056-A0-1339) 5:45PM The (1, 2)-step competition graph of a tournament. (1440) Sarah K. Merz*, University of the Pacific, and Kim , Marquette University (1056-05-795) AMS Committee on Science Policy Panel Discussion A. S. Factor 6:00PM Elements in unavoidable minors of 3-connected 2:30 PM –4:00PM  (1441) binary matroids. Preliminary report. Deborah A Chun, Louisiana State University Evaluation of the NSF’s VIGRE program. (1056-05-1277) 6:15PM A degree condition for spanning cycles in bipartite MAA Poster Session on Research by Undergraduate  (1442) graphs. Students Louis DeBiasio*, Andrzej Czygrinow and H. A. Kierstead, Arizona State University (1056-05-1097) 2:30 PM –4:00PM Judging of all posters will take place during this time. MAA Poster Session on Research by Undergraduate ASL Invited Address Students

4:00 PM –5:30PM 3:00 PM –3:50PM (1430) Bar-recursive interpretations of classical analysis. All participants are invited to view the posters and Fernando J. Ferreira, Universidade de Lisboa speak with the presenters. (1056-03-69) Organizer: Diana M. Thomas, Montclair State University MAA Session on Mathematics and Sports, I

3:20 PM –3:55PM ASL Session for Contributed Papers Organizer: Howard L. Penn, U.S. Naval Academy 3:20PM How Game Players Get Ranked—The Mathematics 4:10 PM –5:45PM  (1431) of Elo Ratings. Preliminary report. Maryam Vulis, USMA Prep School (1056-H5-996) 4:10PM “Universal” Schnorr tests. (1443) , University of Michigan 3:40PM Discussion Nicholas Rupprecht 4:35PM The computability of conditional probability AMS Session on Discrete Mathematics, V (1444) distributions. Nathanael L Ackerman, University of California, 3:45 PM –6:25PM Berkeley, Cameron E Freer*andDaniel M Roy, Massachusetts Institute of Technology 3:45PM Lower bounds in minimum rank problems. 5:00PM Probabilistic computation and stochastic processes. (1432) Lon H Mitchell*, Virginia Commonwealth (1445) Wesley Calvert, Murray State University University, Sivaram K Narayan, Central Michigan University, and Andy Zimmer, University of Illinois 5:25PM Computable dimension of Heyting algebras. (1056-05-903) (1446) Amy Turlington, University of Connecticut 4:00PM C-sets in an uncountable semigroup. Preliminary (1433) report. John H. Johnson, Howard University (1056-05-905) AMS Congressional Fellowship Session 4:15PM The Rees Product with a Poset or its Dual Poset. (1434) *, Armstrong Atlantic State Tricia Muldoon Brown 4:30 PM –6:30PM University, and Margaret Readdy,Universityof Kentucky (1056-05-910) Organizer: Samuel M. Rankin, III,AMS

JANUARY 2010 NOTICES OF THE AMS 175 Program of the Sessions – Friday, January 15 (cont’d.)

MAA Panel Discussion SIGMAA on Mathematics and the Arts Special Presentation 5:00 PM –7:00PM 8:00 PM –9:00PM Current issues in actuarial science education. Organizers: Robert E. Buck, Slippery Rock Bruce Beasley will discuss his sculptures which University consist of intersecting forms that are developed Bettye Anne Case,FloridaState using a computer program. University Kevin E. Charlwood, Washburn MAA-Project NExT Reception University Steve Paris, Florida State University 8:30 PM –10:30PM Moderator: Robert E. Buck All Project NExT Fellows, consultants, and other Panelists: James W. Daniel,UniversityofTexas friends of Project NExT are invited. Austin Organizers: Judith Covington, Louisiana State Bryan V. Hearsey, Lebanon Valley University Shreveport College Joseph A. Gallian,Universityof Minnesota-Duluth Aparna W. Higgins,Universityof SIGMAA on Quantitative Literacy Business Meeting Dayton Gavin LaRose, University of Michigan 5:00 PM –6:00PM

SIGMAA on the Philosophy of Mathematics Business Meeting, Reception, and Guest Lecture Saturday, January 16 5:15 PM –7:15PM MAA Minority Chairs Breakfast Meeting 6:15PM What is Philosophy of Mathematics? A Case Study of  (1447) Fictionalism. 7:00 AM –8:45AM Charles Chihara, University of California, Berkeley (1056-A0-1220) Joint Meetings Registration

SIGMAA on Mathematical and Computational Biology 7:30 AM –2:00PM Business Meeting and Guest Lecture

6:00 PM –8:00PM AMS Special Session on Biomathematics: Modeling in Biology, Ecology, and Epidemiology, II 7:00PM Using mathematical approaches to understand and (1448) manage spatially distributed populations: From 7:30 AM –10:50AM invasive species to fisheries. Organizers: , Ilinois State University Alan Hastings, University of California Davis Olcay Akman Linda Allen, Texas Tech University Timothy D. Comar, Benedictine MAA Special Theatrical Presentation University Sophia Jang, Texas Tech University 6:00 PM –7:00PM Lih-Ing Roeger, Texas Tech University The theater of the mathematically absurd. 7:30AM Integrin Dynamics in Motile Cells: A Stochastic Presenter: Colin Adams, and the Mobiusbandaid  (1450) Approach. Preliminary report. Players Hannah L Callender*, University of Portland, and Hans G Othmer, University of Minnesota (1056-92-614) AMS Mathematical Reviews Reception 8:00AM Organism-Associated and Mat-Forming  (1451) Metagenome Statistical Analysis using Random 6:00 PM –7:00PM Forests Algorithms. Preliminary report. Mayra Hernandez*, San Diego State University, Isaacs Kate, San Jose State University, Naneh SIGMAA on Mathematics and the Arts Business Apkarian, Pomona College, Michelle Creek, Meeting Chapman University, Eric Guan, Torrey Pines High School, Chris Peterson, Pomona College, and Todd 7:00 PM –8:00PM Regh, Southern Oregon University (1056-92-1958) 8:30AM Optimal Seasonal Plant Reproduction. Preliminary (1452) report. NAM Cox-Talbot Address Anthony DeLegge*andSteven Dunbar,University of Nebraska-Lincoln (1056-92-54) 7:30 PM –8:15PM 9:00AM Super-spreading events in infectious diseases.  (1449) The Number Zero: Its Origin and Use. (1453) Preliminary report. Abdulalim Abdullah Shabazz, Grambling Anna Mummert*andSydney Mkhatshwa, University (1056-01-307) Marshall University (1056-92-466)

176 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

9:30AM The Dynamics of One-Predator Two-Prey Systems 8:30AM Compound Covariate Predictor (CCP) Classification (1454) for Integrated Pest Management. Preliminary report.  (1467) Technique Applied on More Than Two Groups Gene Timothy D Comar*andPinal Shah, Benedictine Expression data. Preliminary report. University (1056-92-460) Akram M. Almohalwas, Central Michigan 10:00AM Seeking Optimal Treatment Strategies for Malaria University (1056-62-1426) (1455) Infection. Preliminary report. 8:45AM Schroedinger-Type Eigenmaps for the Analysis and Jeremy J Thibodeaux,UniversityofCentral (1468) Classification of Multispectral Data in Bio-Medical Oklahoma (1056-92-385) Imaging. 10:30AM Qualitative Analysis of Models for Anaerobic Martin Ehler*, Norbert Wiener Center, University of (1456) Digestion including Syntrophic Interactions. Maryland, and Wojciech Czaja,Universityof Preliminary report. Maryland (1056-58-2036) Marion Weedermann, Dominican University (1056-34-125) AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates, III AMS Special Session on Mathematics and Physical Experiment, II 8:00 AM –10:50AM

7:30 AM –10:50AM Organizers: Darren Narayan, Rochester Institute of Technology Organizers: ,JamesMadison Roger Thelwell , Rochester Institute of University Bernard Brooks Technology ,JamesMadison Anthony Tongen , Sam Houston State University Jacqueline Jensen University Paul Warne,JamesMadisonUniversity Carl V. Lutzer, Rochester Institute of 7:30AM Spreading Surfactant on a Thin Liquid Layer. Technology  (1457) *and ,North Ellen Peterson Michael Shearer , San Diego State Carolina State University (1056-76-472) Vadim Ponomarenko University 8:00AM Particle size segregation in granular flow.  (1458) *, North Carolina State University, Tamas Wiandt, Rochester Institute of Michael Shearer Technology Laura Golick, Emory University, Georgia, Lindsay H May, Baltimore, MD, and Karen E Daniels,North 8:00AM Knots, Sticks, and Indicatrix. Preliminary report. Carolina State University (1056-76-1284) (1469) Bena Tshishiku*, Washington and Lee University, Dan Collins, Cornell University, Charmaine Sia, 8:30AM Simulation and validation of 3-dimensional fatigue  (1459) MIT, Rob Silversmith, Katherine Hawkins and cracks. , Williams College (1056-57-966) David L Chopp,NorthwesternUniversity Colin Adams (1056-74-2101) 8:30AM Planar and Spherical Stick Indices of Torus Knots.  (1470) , Williams College, , 9:00AM Colin Adams Dan Collins Mathematical theory of particle laden flow. Cornell University, , Williams  (1460) Andrea Bertozzi, UCLA (1056-76-178) Katherine Hawkins College, Charmaine Sia, Massachusetts Institute of 9:30AM Dynamics of Free Surface Perturbations Along an Technology, Rob Silversmith*, Williams College, (1461) Annular Viscous Film Flowing Down a Vertical Fiber. and Bena Tshishiku, Washington and Lee Linda B. Smolka*, Dennis Fillebrown,Bucknell University (1056-57-422) University, Bree Guerra, University of Texas at 9:00AM Austin, and Justin North, Ohio State University Symplectic Volumes and Ribbon Graphs. (1056-76-1561)  (1471) Julia C Bennett*, Bard College, David V Cochran, Virginia Commonwealth University, and Kaitlin 10:00AM Symmetry and locomotion in theory and Woskoff, Hartwick College (1056-53-82)  (1462) experiment. 9:30AM Stephen Childress, New York University, Courant Modulation Frames and Infinite Symmetric Matrices. Institute of Mathematical Sciences (1056-76-737)  (1472) Robert G. Fraser*, Case Western Reserve University, Andrew Dugowson, Pomona College, 10:30AM Inverse boundary value problems arising in the and Yeonhyang Kim, Central Michigan University  (1463) diagnosis and treatment of heart disease and (1056-46-88) breast cancer. 10:00AM Preliminary David Isaacson*, Rensselaer Polytechnic Institute, Continuous Frames on Manifolds.  (1473) report. J. C. Newell and G. C. Saulnier, RPI (1056-92-310) Daniel Freeman,TexasA&MUniversity,Daniel , Pomona College, *, Case AMS Session on Probability and Statistics, IV Poore A. Rebecca Wei Western Reserve University, and Madeline Wyse, Pomona College (1056-58-92) 7:45 AM –8:55AM 10:30AM The Isoperimetric Problem in Sectors with Disk 7:45AM The minimum measure of concordance in a  (1474) Density.  (1464) multivariate version of Spearman’s rank Alexander Diaz*, Universidad de Puerto Rico correlation. Preliminary report. Mayaguez Campus, Nate Harman,Universityof Raymond E. Molzon, Michigan Technological Massachusetts, Amherst, Sean Howe,Universityof University (1056-62-2020) Arizona, Tucson, and David Thompson, Williams 8:00AM The Mid-Pleistocene Transition: From Forcing to College (1056-53-99)  (1465) Pacing of Glaciers. Preliminary report. Eric R Ruggieri*andC. Lawrence,Brown University (1056-62-2095) AMS-MAA Special Session on History of Mathematics, II 8:15AM Characterization and Dispersive Ordering of the (1466) Cauchy, Gauss and Logistic Laws. 8:00 AM –10:50AM Broderick Oluyede, Georgia Southern University (1056-62-1351) Organizers: Craig Fraser, University of Toronto

JANUARY 2010 NOTICES OF THE AMS 177 Program of the Sessions – Saturday, January 16 (cont’d.)

Deborah Kent, Hillsdale College Julia Pevtsova,Universityof Sloan Despeaux, Western Carolina Washington University Eric Friedlander,Universityof 8:00AM “Ad Calculum Sinuum”: Thomas Harriot’s Sine Table Southern California  (1475) Interpolation Formulas. 8:00AM Morita Equivalence Revisited. Janet L Beery, University of Redlands (1487) Paul Frank Baum, Pennsylvania State University (1056-01-1116) (1056-16-520) 8:30AM Newton’s Proof of Heron’s Formula. 8:30AM A combinatorial approach to Specht module  (1476) William Dunham, Muhlenberg College (1488) cohomology. (1056-01-335) David J Hemmer, University at Buffalo, State 9:00AM Mathematics as imperialism? The role of University of New York (1056-20-860)  (1477) mathematicians in the political expansion of British 9:00AM Vanishing ranges for the cohomology of finite mathematical practices. (1489) groups of Lie type. Josipa G Petrunic, University College London Christopher P. Bendel*, University of (1056-01-1249) Wisconsin-Stout, Daniel K. Nakano,Universityof 9:30AM A comparison of Edwin Abbott Abbott and Lewis Georgia, and Cornelius Pillen,UniversityofSouth  (1478) Carroll. Preliminary report. Alabama (1056-20-434) William F. Lindgren*, Slippery Rock University, 9:30AM Low Degree Cohomology for Finite Simple Groups. and Thomas F. Banchoff,BrownUniversity (1490) Robert M Guralnick*, University of Southern (1056-01-1184) California, and Pham Huu Tiep,Universityof 10:00AM The Early Years of G. H. Hardy’s career. Arizona (1056-20-450)  (1479) Brenda Davison, Simon Fraser University 10:00AM Support varieties and representation type. (1056-01-482) (1491) Joerg Feldvoss, University of South Alabama, and 10:30AM Joel E. Hendricks and the Analyst. Preliminary Sarah Witherspoon*, Texas A&M University  (1480) report. (1056-16-598) James J Tattersall, Providence College 10:30AM Bundles and submodule functors. Preliminary (1056-01-494) (1492) report. Jon F Carlson*, University of Georgia, Eric M AMS-SIAM Special Session on Applications of Friedlander, University of Southern California, and Julia Pevtsova, University of Washington Algebraic Geometry, I (1056-20-867)

8:00 AM –10:50AM Organizers: Frank Sottile,TexasA&MUniversity AMS Special Session on Harmonic Analysis and Luis Garcia-Puente,SamHouston Representations of Reductive p-adic Groups, I State University 8:00 AM –10:40AM 8:00AM Algebraic aspects of persistence. (1481) Gunnar Erik Carlsson, Stanford University Organizers: Robert Doran,TexasChristian (1056-55-1638) University 8:30AM From Isomap to Persistence: nonlinear Paul Sally, University of Chicago (1482) dimensionality reduction with circular coordinates. Loren Spice,TexasChristian Vin de Silva, Pomona College (1056-68-2149) University 9:00AM Topological data analysis and the nudged elastic 8:00AM Characters Tell All: The Plancherel Formula Done  (1483) Preliminary report. band method. (1493) Right. Preliminary report. *, ,Stanford Henry Adams Paul J Sally*, University of Chicago, and Loren University, and ,Columbia Atanas Atanasov Spice, Texas Christian University (1056-22-825) University (1056-55-2063) 8:50AM Invariant distributions supported on compact 9:30AM Recovering exact results from numerical (1494) elements. (1484) computation in algebraic geometry. Stephen M DeBacker, University of Michigan Daniel J. Bates*, Colorado State University, (1056-22-2035) Jonathan D. Hauenstein, Fields Institute/Texas 9:20AM A&M, , University of Notre Dame, Parametrizing Nilpotent Orbits in Symmetric Tim McCoy Chris (1495) , Colorado State University, and Spaces Using Bruhat-Tits Theory. Peterson , University of Michigan-Ann Arbor , University of Notre Dame Ricardo Portilla Andrew J. Sommese (1056-20-1365) (1056-14-1120) 9:50AM Geometric Structure in the Representation Theory 10:00AM Computing Hilbert functions using dual bases.  (1485) Preliminary report. (1496) of Reductive p-adic Groups. , Pennsylvania State University Jonathan D Hauenstein, Fields Institute/Texas Paul Frank Baum A&M (1056-14-1178) (1056-22-136) 10:20AM On some local L-packets and character sheaves. 10:30AM Zebra Fish, Tumor Growth, and Algebraic (1486) (1497) Clifton Cunningham, University of Calgary Geometry. (1056-11-1038) Andrew Sommese, University of Notre Dame (1056-14-2079) AMS Special Session on Integrability of Dynamical AMS Special Session on Categorical and Algebraic Systems and Solitons Equations, I MethodsinRepresentationTheory,I 8:00 AM –10:50AM 8:00 AM –10:50AM Organizers: Zhijun Qiao, University of Texas-Pan Organizers: Jon Brundan, University of Oregon American

178 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

Taixi Xu, Southern Polytechnic State AMS Special Session on Optimal Frames and University Operator Algebras, I Wenxiu Ma, University of South Florida 8:00 AM –10:50AM 8:00AM On meromorphic solutions to the Korteweg-de Vries (1498) equation with non-decaying initial data supported Organizers: David Larson,TexasA&MUniversity on a left half line. ,UniversityofCentral Alexei Rybkin, University of Alaska Fairbanks Deguang Han (1056-35-1218) Florida , San Francisco State 8:30AM Shidong Li Integrable systems and invariant geometric flows in University (1499) similarity and projective geometries. Changzheng Qu, Northwest University, P. R. China 8:00AM Sparse approximations and the minimum subspace (1056-35-2086) (1510) approximation property. *, Vanderbilt University, and 9:00AM On the Long-Time H2-Stability of the Implicit Euler Akram Aldroubi , CNRS, Ecole Normal Sup., Lyon (1500) Scheme for the 2D Magnetohydrodynamics Romain Tessera (1056-47-322) Equations. Florentina Tone, University of West Florida 8:30AM Filter bank fusion frames. (1056-35-913) (1511) Matthew Fickus*, Air Force Institute of Technology, , Swiss Federal Institute of 9:30AM Stability of the Positive Steady States for a Amina Chebira Technology Lausanne, and , (1501) Nonhomogeneous Semilinear Parabolic Problem. Dustin G. Mixon Princeton University (1056-42-523) Yi Li*, University of Iowa, Xian Jiaotong University, and Baishun Lai, Hunan Normal University and 9:00AM Distance estimates and a flow converging to Henan University (1056-35-1982)  (1512) equal-norm Parseval frames. *, University of Houston, 10:00AM Quantizations of differential operator modules. Bernhard G Bodmann and , University of Missouri (1502) Charles H Conley,UniversityofNorthTexas Peter G Casazza (1056-17-665) (1056-46-535) 9:30AM 10:30AM Component-trace identities and Hamiltonian A frame theoretic construction for spectral imaging (1513) Preliminary report. (1503) structures of integrable couplings. data. , Norbert Wiener Center, Wen-Xiu Ma, University of South Florida John J. Benedetto (1056-37-1393) University of Maryland (1056-42-564) 10:00AM Spanning Properties of Frames. (1514) Peter G. Casazza*, University of Missouri, Bernhard G. Bodmann, Vern I. Paulsen,University of Houston, and Darrin Speegle,St.Louis University (1056-46-635) AMS Special Session on Interactions of Inverse 2 Problems, Signal Processing, and Imaging, III 10:30AM Frames for L of measures with scale (1515) self-similarity. Preliminary report. ,UniversityofIowa 8:00 AM –10:50AM Palle E. T. Jorgensen (1056-46-761) Organizer: M. Zuhair Nashed,Universityof Central Florida 8:00AM An analysis of the singular values from the binary  (1504) information with its preserver and patternization. Duk-Sun Kim*andSang-Gu Lee, Sungkyunkwan University (1056-15-1162) AMS Special Session on Parabolic Geometries, Integrable Systems, and , I 8:30AM A novel kernel correlation model with (1505) correspondence estimation. 8:00 AM –10:40AM Pengwen Chen, University of Connecticut (1056-49-644) Organizers: Dana Mihai, Carnegie Mellon 9:00AM Multiscale Registration of Planning CT and Daily University (1506) Cone Beam CT Images for Adaptive Radiation Jonathan Holland,Universityof Therapy. Pittsburgh Dana Paquin*, California Polytechnic State ,Universityof University, Doron Levy, Department of George Sparling Mathematics and CSCAMM, University of Maryland, Pittsburgh and Lei Xing, Stanford University (1056-92-432) 8:00AM Weyl and the foundations (1918, 1929) of gauge (1516) 9:30AM Regularization of Inverse Magnetoencephalography theory. ,Universit´edeBretagne (1507) by a Spline Method. Alexander Afriat Occidentale (PaHST & REHSEIS) (1056-83-1022) Michel Volker, Geomathematics Group, University of Siegen, Germany (1056-65-513) 8:30AM Affine sphere equation, Hitchin system and Painleve (1517) 10:00AM Stack filter classifiers with an application to change III. ,Centrederecherches (1508) detection in images. Prim Plansangkate math´ematiques (1056-51-634) G. Beate Zimmer*, Texas A&M University-Corpus Christi, Reid Porter and Don Hush, Los Alamos 9:00AM Invariants of projective structures on surfaces and National Laboratory (1056-68-121) (1518) some applications. , University of California at Berkeley 10:30AM On Weakly Bounded Noise in Ill-Posed Problems. Robert L Bryant and MSRI (1056-53-31) (1509) P. P. B. Eggermont*, V. N. LaRiccia, Food and Resource Economics, University of Delaware, and 10:00AM Four-dimensional metrics conformal to Kahler. M. Z. Nashed, University of Central Florida (1519) M. Dunajski, University of Cambridge (1056-47-1818) (1056-53-562)

JANUARY 2010 NOTICES OF THE AMS 179 Program of the Sessions – Saturday, January 16 (cont’d.)

MAA-AMS Invited Paper Session on the Scholarship of 10:00AM Multistep Kinetic Monte Carlo. Preliminary report. Teaching and Learning in Mathematics (1534) Holly N. Clark*andTim P. Schulze,Universityof Tennessee, Knoxville (1056-76-285) 8:00 AM –10:50AM 10:15AM Application of the Riemann-Hilbert technique to a (1535) Organizers: Jacqueline M. Dewar, Loyola problem of a supercavitating wedge. Marymount University Anna Zemlyanova*andYuri Antipov, Louisiana State University (1056-76-338) Thomas F. Banchoff,BrownUniversity 10:30AM Comparisons of Different Groove Structures in a Pam Crawford, Jacksonville University (1536) Steady-Liquid Flow for Designing Efficient Micro 8:00AM SoTL in the Mathematics Content Preparation of Heat Pipes.  (1520) Teachers: Infusing K-12 Exemplars in the Mulugeta Markos, North Carolina Wesleyan Undergraduate Mathematics Curriculum. College (1056-76-742) Kathryn T Ernie, University of Wisconsin - River 10:45AM Falls (1056-BE-1719) Flow structure of a sphere or spheroid immersed in (1537) shear flows in the Stoke’s regime. 8:30AM Research Experiences for Pre-service and In-service Longhua Zhao*, Roberto Camassa and Richard M. (1521) Secondary Mathematics Teachers. McLaughlin, University of North Carolina at Chapel Saad El-Zanati*, David Barker and Wendy Hill (1056-76-961) O’Hanlon, Illinois State University (1056-BE-462) 9:00AM Assessing Student Learning in an Introductory-Level  (1522) Mathematics Course with a Sustainability Emphasis. Rikki B Wagstrom, Metropolitan State University (1056-BE-1306) AMS Session on Research by Undergraduates, I 9:30AM Preliminary Thoughts on Quantitative Literacy.  (1523) Preliminary report. 8:00 AM –10:55AM Michael C Burke, College of San Mateo 8:00AM (1056-BE-1510) Efficient computation of failure probabilities in  (1538) optical fiber communication systems. 10:00AM What is inquiry? What is evidence? Zachary Marzec*, Jonathan Schuster,SUNYat  (1524) , Carnegie Foundation for the Rose Asera Buffalo, Lucas Bunt and Benjamin Kanouse, Advancement of Teaching (1056-BE-1832) Buffalo State College (1056-78-1698) 10:30AM Differentiating Instruction in a Large Lecture Class. 8:15AM Computer Model of Gravitational Lensing Systems.  (1525) Preliminary report.  (1539) Philip S Naudus, George Mason University Andrew G Bennett*, Rachel Manspeaker, Danielle (1056-85-1646) McNaney and Ala Alnaser, Kansas State University (1056-BE-1454) 8:30AM On Property P1 and Spaces of Operators.  (1540) Preliminary report. Junsheng Fang, David Larson,TexasA&M AMS Session on Computational Mathematics, III University, and Stephen Rowe*, Florida Atlantic University Harriet L. Wilkes Honors College 8:00 AM –10:55AM (1056-15-394) 8:00AM Mathematical Modeling of Tail Movement. 8:45AM m-Refinably Extendable Functions. Preliminary (1526) Glenn Steven Young*, Anthony L. Tongen,James  (1541) report. Madison University, Nina Bence and Corey John R Meuser, Illinois Wesleyan University Cleland, Department of Biology, James Madison (1056-00-359) University (1056-65-1916) 9:00AM What Moves You: Using Legs for Vehicular 8:15AM Analysis of 3D Potts Model Monte Carlo Simulation  (1542) Transportation. (1527) of Crystalline Grain Growth. Jonathan Graf*, Towson University, Olga Stulov, Joshua D. Snyder, George Mason University SUNY New Paltz, and Jim Sochacki,JamesMadison (1056-65-1962) University (1056-34-334) 8:30AM An optimization-based approach to discretizing the 9:15AM Modeling, Analysis and Computation of Fluid (1528) eikonal equation. (1543) Structure Interaction Models for Biological Systems. Christopher M Kuster, Carroll University S. Minerva Venuti*andPadmanabhan Seshaiyer, (1056-65-1973) George Mason University (1056-35-1523) 8:45AM HSS preconditioning techniques for the 9:30AM Nucleation and Spinodal Decomposition in  (1529) Navier-Stokes equations. Preliminary report.  (1544) Ternary-component Alloys. Preliminary report. Jia Liu, University of West Florida (1056-65-2069) Colleen T Ackermann*, Virginia Polytechnic 9:00AM A Spectral Time-Domain Method for Computational Institute and State University, and William D (1530) Electrodynamics. Preliminary report. Hardesty, University of Maryland Baltimore County James V Lambers,UniversityofSouthern (1056-35-321) Mississippi (1056-65-2073) 9:45AM Modeling Phase Separation in Ternary Alloys. 9:15AM Interpolation error estimates for hexahedral finite  (1545) James O’Beirne, George Mason University (1531) elements: geometrical approach. (1056-35-1186) Kanagaratnam Arunakirinathar,Universityof 10:00AM Parameter Estimation in a System of Differential Kwa-Zulu Natal (1056-65-2078)  (1546) Equations. 9:30AM Decomposition Method for Henry’s Problem. Franz William Hamilton, George Mason University  (1532) Julia Petereit, University of Nevada, Reno (1056-35-1260) (1056-41-679) 10:15AM Numerical Modeling and Analysis of Fluid Structure 9:45AM Parallel Performance of Some SHA-3 Second Round  (1547) Interaction in Biological Systems. Preliminary report.  (1533) Candidates. Preliminary report. Avis A Foster*, Daniel M Anderson, S. Minerva Jason Worth Martin,JamesMadisonUniversity Venuti and Padmanabhan Seshaiyer,George (1056-12-2077) Mason University (1056-35-1617)

180 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

10:30AM Prolonging the effectiveness of transgenic 8:00AM Eigenvalues and eigenvectors—helping students see  (1548) insecticidal crops.  (1560) what they do. John Bantle*, Aaron Festinger, Hee-Joon Jo and Melvin A Nyman*, Alma College, John Berry, Ryan Klafehn, University at Buffalo (1056-92-1791) University of Plymouth (England), Douglas A Lapp and , Central Michigan University 10:45AM Complex dynamics of a single nephron model with Dennis St. John  (1549) tubuloglomerular feedback and a myogenic (1056-G1-1640) mechanism. 8:20AM Student-centered linear algebra activities. John Dambra*, University at Buffalo, and Steven  (1561) Gulden Karakok*, UMERC, Umea University, Leuthe, Buffalo State College (1056-92-1799) Sweden, and Corinne A. Manogue, Department of Physics, Oregon State University (1056-G1-1868) 8:40AM Introducing Linear Algebra to Middle School  (1562) Students. Preliminary report. AMS Session on Number Theory, III Pamela G Coxson, University of California San Francisco (1056-G1-534)

8:00 AM –10:40AM 9:00AM Interesting projects while teaching Linear Algebra (1563) course. 8:00AM Poincar´e Series of Diagonal Polynomials. Yun Lu, Kutztown University of PA (1056-G1-822)  (1550) Preliminary report. 9:20AM ,UniversityofKentucky,USA Learning the Language of Linear Algebra: Using Dibyajyoti Deb (1564) (1056-11-1199) Reading Assignments to Immerse Students in Terminology and Ideas. 8:15AM Special Sierpinski´ Numbers. Preliminary report. Matt Boelkins, Grand Valley State University  (1551) Gregory P. Dresden, Carrie E. Finch*, Washington (1056-G1-856) & Lee University, Josh Harrington,Universityof 9:40AM Three tested ways to empower students to engage South Carolina, Lenny K. Jones, Shippensburg (1565) University, and , Whittier College in linear algebra. Mark R. Kozek Peg Howland*andBrynja R. Kohler, Utah State (1056-11-1297) University (1056-G1-2000) 8:30AM Explicit bounds for the number of p-core partitions 10:00AM Matrices of Sequences: Recurrence and (1552) of n.  (1566) Computation. and *, University of Byungchan Kim Jeremy Rouse Mark Anderson Miller, Marietta College Illinois, Urbana-Champaign (1056-11-1235) (1056-G1-198) − 8:45AM 2 Preliminary Sifting Limits for Selberg’s Λ Λ Sieve. 10:20AM Transitioning to a Laguerre Basis. (1553) report.  (1567) Elyn Rykken*, Muhlenberg College, and Maureen , Central Michigan University CSFranze Carroll, University of Scranton (1056-G1-2002) (1056-11-1244) 10:40AM Using and Rotations Matrices for 9:00AM Break  (1568) Rotations in R3. 9:15AM On the sum of the reciprocals of the amicable Paul Raymond Bouthellier,Universityof  (1554) numbers. Preliminary report. Pittsburgh-Titusville (1056-G1-237) Jonathan W. Bayless*, Husson University, and Dominic Klyve, Carthage College (1056-11-790) MAA Session on General Contributed Papers, IX 9:30AM D. Stanton’s conjecture on t-core partitions. (1555) Byungchan Kim*, University of Illinois at 8:00 AM –10:55AM Urbana-Champaign, and Jeremy Rouse,University of Illinois at Urbana-Champain (1056-11-1336) Organizers: Eric S. Marland, Appalachian State 9:45AM Generalizing a Theorem of Sierpinski´ Using Lucas University  (1556) Sequences. Preliminary report. Daniel J. Curtin, Northern Kentucky Lenny Jones, Shippensburg University University (1056-11-859) 8:00AM A Summer of Knots. 10:00AM Diophantine Questions and the Adeles. (1569) Alan Alewine, McKendree University (1056-Z1-543) (1557) , Johns Hopkins University Thomas J Wright 8:15AM Calculus Laboratory: A Companion Course to the (1056-11-1383) (1570) Lecture. Preliminary report. 10:15AM Diophantine Approximation for Alternate Forms of Michael P Saclolo, St. Edward’s University  (1558) Continued Fractions. (1056-Z1-1612) , Ridgewood, NJ (1056-37-1508) David E. Molnar 8:30AM Science in the Mathematics Classroom. 10:30AM The and the Roots of the  (1571) George Rublein, College of William and Mary (1559) Riemann Zeta Function. (1056-Z1-1750) Samuel W Gilbert, Vienna, VA (1056-11-48) 8:45AM A 21st century makeover of a classic introductory  (1572) differential equations course. Anand L. Pardhanani, Earlham College (1056-Z1-1007) MAA Session on Innovative and Effective Ways to 9:00AM Recruitment and Retention: Sides of the Same Teach Linear Algebra, I  (1573) Coin. Preliminary report. Lisa A Lister, Bloomsburg University 8:00 AM –10:55AM (1056-Z1-1385) 9:15AM Break. Organizers: David M. Strong, Pepperdine University 9:30AM Redesigning a Mathematics Course to Meet the  (1574) Needs of Business Majors. Preliminary report. , Massachusetts Kathleen D. Lopez*, Diane G. Fisher, Michael W. Institute of Technology Totaro and Lee E. Price, University of Louisiana at David C. Lay, University of Maryland Lafayette (1056-Z1-947)

JANUARY 2010 NOTICES OF THE AMS 181 Program of the Sessions – Saturday, January 16 (cont’d.)

9:45AM Changes in Students’ Perceptions about Learning Walter Whiteley,YorkUniversity  (1575) Mathematics in a Redesigned Mathematics Course 8:00AM Spatial Visualization for Pre-Service Teachers. for Business Majors. Preliminary report.  (1589) Lily Moshe,YorkUniversity,Margaret Sinclair, Diane G Fisher*, Kathleen Lopez, Michael Totaro Faculty of Education, York University, and Walter and Lee Price, University of Louisiana at Lafayette Whiteley*, York University (1056-R5-1562) (1056-Z1-888) 8:20AM Picture This: Making Connections in 3-Space. 10:00AM Grading Done Right. Preliminary report.  (1590) Sarah L Mabrouk, Framingham State College  (1576) Dustin D. Keck*andMichael A. Brilleslyper,U.S. (1056-R5-2001) Air Force Academy (1056-Z1-1680) 8:40AM Drawing by hand and machine: Visualizing solids of TM 10:15AM Wii Derivatives: Learning Derivatives Through  (1591) revolution.  (1577) Competition. Preliminary report. John W Hoggard, Edinboro University of Keith W. DeGregory*, Aaron C. Elliott, William L. Pennsylvania (1056-R5-1482) and , United States Fehlman II Alex A. Heidenberg 9:00AM Military Academy at West Point (1056-Z1-904) Visualizing the Popcorn Box. (1592) Ami Mamolo*, York University, Toronto, and 10:30AM Survivor Math: Using Pop Culture to Enhance Walter Whiteley, York University (1056-R5-1268) (1578) Learning Mathematics. 9:20AM , United States Military Academy Spatial Visualization: Is There a Gender Difference? Robert E Burks  (1593) , Southern CT State University (1056-Z1-55) Terri L. Bennett (1056-R5-1256) 10:45AM Composition Operators on S2(D). (1579) Katherine Heller, University of Virginia (1056-Z1-643) SIAM Minisymposium on New Trends in Mathematical Biology

MAA Session on Mathematics and Sports, II 8:00 AM –10:55AM

8:00 AM –10:55AM Organizers: Mariel Vazquez, San Francisco State University Organizer: , U.S. Naval Academy Howard L. Penn Javier Arsuaga, San Francisco State 8:00AM Did Humidifying the Baseball Decrease the Number University  (1580) of Homers at Coor’s Field? 8:00AM Strings, Trees, and RNA Folding. , U.S. Naval Academy Howard L. Penn (1594) Christine E Heitsch, Georgia Institute of (1056-H5-380) Technology (1056-92-1911) 8:20AM A nonlinear approach to modeling success in 8:30AM The Other Half of Our Genome.  (1581) baseball. (1595) Jun S Song, UC San Francisco (1056-92-1133) Jeff Hamrick*, Rhodes College, and John M. Rasp, Stetson University (1056-H5-762) 9:00AM Topological methods for mapping biological data (1596) sets. 8:40AM Biomechanics of Running and Walking. Gunnar Erik Carlsson, Stanford University (1582) Anthony Tongen,JamesMadisonUniversity (1056-92-1701) (1056-H5-1975) 9:30AM A Multi-type Branching Process Model of Tumor 9:00AM Mathematics Awareness Month 2010: Mathematics (1597) Expansion.  (1583) and Sports. Jasmine Foo*, Kevin Leder and Franziska Michor, Douglas Ensley, Shippensburg University, Joseph Sloan Kettering Institute (1056-92-1728) A. Gallian*, University of Minnesota Duluth, and 10:00AM Howard Penn, United States Naval Academy. Analysis of difference topology experiments on a (1056-H5-374)  (1598) Protein-DNA complex. John Luecke*, University of Texas at Austin, Isabel 9:20AM Tigermetrics: Statistical Analysis of the PGA Tour. Darcy, University of Iowa, and Mariel Vazquez,San  (1584) Preliminary report. Francisco State University (1056-58-1965) Roland Minton, Roanoke College (1056-H5-314) 10:30AM Fast Protein Dynamics Simulations: Dominant 9:40AM Creating a Sports Video Game using Mathematical  (1599) Pathways for Protein Conformational Transitions.  (1585) Modeling. Preliminary report. ,Universityof Paul Raymond Bouthellier Patrice Koehl*, University of California, Davis, Joel Pittsburgh-Titusville (1056-H5-236) Franklin, Reed College, Sebastian Doniach, 10:00AM Introducing some new and already existing Stanford University, and Marc Delarue, Institut (1586) statistical studies related to a sports mostly Pasteur, Paris, France (1056-65-1945) popular in the eastern hemispheres. Santanu Chakraborty, University of Texas - Pan American, Edinburg, Texas (1056-H5-81) AMS Session on Group Theory, III 10:20AM Analysis of a Table Tennis Game: A Teaching Tool. 8:15 AM –10:55AM  (1587) Reza D. Noubary, Bloomsburg University (1056-H5-928) 8:15AM Fundamental domains for congruence subgroups of (1600) 10:40AM Exploring NFL Data to Determine “Who is the SL2 in positive characteristic. ,RutgersUniversity, *,  (1588) Greatest of Them All?”. Preliminary report. Lisa Carbone Leigh Cobbs Lebanon Valley College, and , Jacqueline Brannon Giles, (1) HCC Central College Scott Murray (2) Texas Southern University (1056-H5-512) University of Sydney (1056-22-203) 8:30AM Homomorphisms on compact subsets of βS. (1601) Neil Hindman*, Howard University, and Dona MAA Session on Visualization in Mathematics, I Strauss, University of Leeds (1056-22-311) 8:45AM 8:00 AM –9:35AM Whittaker Modules for a of Block Type. (1602) Bin Wang, Changshu Institute of Technology, Organizers: Sarah J. Greenwald, Appalachian State Changshu, China, and Xinyun Zhu*, University of University Texas of Permian Basin (1056-22-348)

182 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

9:00AM MembersofsumsofidempotentsinβN. Preliminary MAA Session on General Contributed Papers, XI (1603) report. Kendall Williams, Howard University (1056-22-724) 8:30 AM –10:25AM 9:15AM Hyperreflection groups. Organizers: Eric S. Marland, Appalachian State (1604) David G Radcliffe, Century College (1056-20-1895) University 9:30AM Zeta Functions of Complexes Arising from PGLn. Daniel J. Curtin, Northern Kentucky (1605) Ming-Hsuan Kang, Pennsylvania State University University (1056-20-139) 8:30AM Mathematics and English: A Joint Venture. 9:45AM On solvable minimal non-p-closed and (1616) Amanda I Beecher*, Hilary DeRemigio and Gerald (1606) non-p-exponent closed groups. Kobylski, United States Military Academy at West Luise-Charlotte Kappe, Marcin Mazur, Point (1056-Z1-876) Binghamton University, , Gabriela Mendoza 8:45AM Geometric Transformations in Design and Their Riverside Community College, and Michael B. (1617) Self-assembling and Self-organizing Structures. *, Western Oregon University (1056-20-877) Ward Fatma Mete, Cornell University (1056-Z1-1837) 10:00AM On simple minimal non-p-closed and 9:00AM An investigation of attribution theory with College (1607) non-p-exponent closed groups.  (1618) Algebra students via Mathematics Attribution Scale *, , Luise-Charlotte Kappe Marcin Mazur (MAS): Implications to Teaching and Learning Binghamton University, , Gabriela Mendoza Undergraduate Mathematics. Riverside Community College, and , Michael B Ward Jerry C. Obiekwe, The university of Akron-Wayne Western Oregon University (1056-20-1247) College (1056-Z1-948) 10:15AM The Hausdorff dimension of limit sets of subgroups 9:15AM Getting pumped for math: An investigation of (1608) of Kleinian groups. (1619) student motivations. Andrew Lazowski, Wesleyan University Fabiana Cardetti*andP. Joseph McKenna, (1056-00-1171) University of Connecticut (1056-Z1-1574) 10:30AM The descent spectral sequence for SL2 and PSL2. 9:30AM The Mathematicians Roll With GEAR-UP. Preliminary (1609) Rebecca E Field,JamesMadisonUniversity  (1620) report. (1056-55-2135) Edward D Smith, Pima Community College 10:45AM The Generalized Burnside and Representation Rings. (1056-Z1-1304) (1610) Eric B. Kahn, Bloomsburg University (1056-55-727) 9:45AM Mentoring Underrepresented Students in Science  (1621) and Mathematics. Preliminary report. Rebekah Dupont, Augsburg College (1056-Z1-1687) AWM Workshop 10:00AM Over 20 Years of Success in the Emerging Ethnic  (1622) Engineers Program at the University of Cincinnati. 8:20 AM –4:30PM Joy Moore*andKenneth Simonson,Universityof Cincinnati (1056-Z1-1986) This session has several parts that will be 10:15AM A Comparative Study of Online and Traditional listed separately by time in this program. All  (1623) Classroom Learning of College Algebra for presentations are open to all JMM participants. Non-Traditional Students in Non-Traditional Higher Education Programs. Darcel H Ford, Strayer University (1056-Z1-1924)

AMS Special Session on Permutations, I AWM Workshop: Research Presentations by Recent Ph.D.s, I 8:30 AM –10:50AM 8:30 AM –10:20AM Organizers: Persi Diaconis, Stanford University Ira M. Gessel, Brandeis University 8:30AM Families over special base manifolds and a (1624) Richard P. Stanley, Massachusetts conjecture of Campana. Institute of Technology Kelly Jabbusch*andStefan Kebekus,Universityof Freiburg (1056-14-169) 8:30AM Flag descents and P-partitions. 9:00AM (1611) Ira M. Gessel, Brandeis University (1056-05-1512) Shift Automorphism Varieties Are Not Residually (1625) Finite. 9:00AM Preliminary Descents and drops of permutations. Kate S Owens, College Station, TX (1056-08-213)  (1612) report. 9:30AM ,UCSanDiego, , Oscillation Criteria for Second Order Linear Delay Fan Chung Anders Claesson (1626) Preliminary report. Reykjavik Univ., , Univ. of Iceland, and Dynamic Equations. Mark Dukes , Texas Tech University *, UC San Diego (1056-05-1787) Raegan Higgins Ron Graham (1056-39-118) 9:30AM Eulerian quasisymmetric functions. 10:00AM (1613) *, Washington University, An obstruction to slicing iterated Bing doubles. John Shareshian (1627) , University of San Francisco and , University of Miami Cornelia A. Van Cott Michelle L Wachs (1056-57-216) (1056-05-1607) 10:00AM Eulerian quasisymmetric functions and cyclic AMS Committee on Education Panel Discussion (1614) sieving. Bruce Sagan, Michigan State University, John 8:30 AM – 10:00 AM Shareshian, Washington University, and Michelle L Wachs*, University of Miami (1056-05-1888) The common core State Standards: Will they 10:30AM Combinatorial interpretations for γ-vectors. become our national K–12 math curriculum? (1615) T. Kyle Petersen*, DePaul University, and Eran Moderator: Lawrence Gray,Universityof Nevo, Cornell University (1056-05-457) Minnesota

JANUARY 2010 NOTICES OF THE AMS 183 Program of the Sessions – Saturday, January 16 (cont’d.)

MAA Session on General Contributed Papers, X MAA Minicourse #3: Part B

8:45 AM –10:40AM 9:00 AM – 11:00 AM Organizers: Eric S. Marland, Appalachian State Educating about the state of the planet and University sustainability while enhancing calculus. Daniel J. Curtin, Northern Kentucky Organizer: Thomas J. Pfaff, Ithaca College University 8:45AM A Matrix Approach to Linear Statistical Models. MAA Minicourse #8: Part B  (1628) Preliminary report. David R Gurney, Southeastern Louisiana University 9:00 AM – 11:00 AM (1056-Z1-578) The Fibonacci and Catalan numbers. 9:00AM Utilizing Web-based Statistical Resources in Organizer: , Rose-Hulman Institute  (1629) Ralph Grimaldi Teaching Nontraditional Undergraduate Students in of Technology Online Learning Environments. Michael D. Miner, American Public University System (1056-Z1-1896) Student Hospitality Center 9:15AM Using Authentic Discovery Projects to Improve 9:00 AM –2:00PM  (1630) Student Outcomes in Statistics. Preliminary report. Dianna J Spence*, A. Robb Sinn and Brad Bailey, North Georgia College & State University MAA Committee for the Teaching of Undergraduate (1056-Z1-734) Mathematics Panel Discussion 9:30AM The Extended Law of Total Probability. Preliminary  (1631) report. 9:00 AM –10:20AM Zengxiang Tong*andZhen Huang, Otterbein Beyond grading and tutoring: New approaches to College (1056-Z1-351) students helping students. 9:45AM Integrating Mathematical Modeling into Science and Organizers: Daniel E. Flath, Macalester College  (1632) Mathematics Curricula in Challenged School Lewis D. Ludwig, Denison University Districts. , Lesley University Molli R. Jones, Immaculata University Steven R. Benson (1056-Z1-797) Panelists: Sonny Painter,Universityof Missouri-Kansas City 10:00AM A Transition Course From Advanced Placement to  (1633) College Calculus. Karen Saxe, Macalester College Timothy A Lucas*, Pepperdine University, and Catherine A. Beneteau,Universityof Joseph Spivey, Wofford College (1056-Z1-1107) South Florida 10:15AM Does Peer Assessment Help Improve Mathematical  (1634) Writing for Pre-Service Elementary and Middle NAM Panel Discussion School Teachers? Cheryl Beaver and Scott Beaver*, Western Oregon 9:00 AM –9:50AM University (1056-Z1-1502) 10:30AM A Taxonomic Analysis of Standard Calculus Tasks: Exhibits and Book Sales (1635) Bloom in Calculus Education. Preliminary report. , Pomona College (1056-Z1-25) Gizem Karaali 9:00 AM – NOON

AMS Invited Address Employment Center

9:00 AM – NOON 9:00 AM –9:50AM

(1636) Evolution problem in General Relativity. AMS Session on Real and Special Functions Igor Y. Rodnianski, Princeton University (1056-83-7) 9:15 AM –10:55AM

9:15AM Solution for nonlinear initial-value problems via ASL Invited Address (1638) orthogonal functions. Mohsen Razzaghi, Mississippi State University 9:00 AM –9:50AM (1056-33-369) 9:30AM Resultants of Chebyshev Polynomials. (1637) Decidability and Undecidability in Theories of Real (1639) Jemal Emina Gishe*, Western Kentucky University, Vector Spaces. and ,UniversityofCentral , Intel Corporation, JF1-13 Mourad E. H. Ismail John Harrison Florida (1056-33-899) (1056-03-75) 9:45AM Representations of quantum group Uq(so(n)) and (1640) q-orthogonal polynomials. MAA Minicourse #10: Part B Alexander Rozenblyum, New York City College of Technology, CUNY (1056-33-922)

9:00 AM – 11:00 AM 10:00AM Subpolynomial and Subexponential Functions.  (1641) Preliminary report. The hitchhiker’s guide to mathematics. Houshang H. Sohrab,TowsonUniversity Organizers: Dan Kalman, American University (1056-26-46) Bruce F. Torrence, Randolph Macon 10:15AM On the Hilbert Transform of a Measure. College (1642) Maxim Zinchenko, Caltech (1056-26-104)

184 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

10:30AM Aspects of Stochastic Quasi-Cantoresque Sets. 10:30AM Ihara Zeta Functions and Some Ramified Covers of  (1643) Preliminary report. (1656) Graphs. Padraig M. McLoughlin*, Kutztown University of Beth Malmskog*, Colorado State University, Pennsylvania, and Christopher R. Krizan, Auburn and Michelle Manes, University of Hawaii University (1056-26-613) (1056-05-199) 10:45AM An analogue of L’Hospital’s rule. 10:30AM The Abelian-Nonabelian Correspondence in  (1644) J Marshall Ash, DePaul University (1056-26-1354) (1657) Gromov-Witten Theory. Kaisa E Taipale, University of Minnesota (1056-14-212) ASL Invited Address 10:30AM Computable distributive lattices and Heyting (1658) algebras. 10:00 AM –10:50AM Amy Turlington, University of Connecticut (1056-03-214) (1645) Tukey Reducibility as a Setup for Classifying Mathematical Structures. 10:30AM The most interesting surface homeomorphisms. Stevo Todorcevic, Universite Paris 7 - C.N.R.S., and  (1659) Chia-Yen Tsai, University of Illinois at University of Toronto (1056-03-73) Urbana-Champaign (1056-57-218) 10:30AM Toric models of graphs. (1660) Weronika J Buczynska,TexasA&MUniversity NAM Business Meeting (1056-14-220) 10:30AM On stable states in a coupled energetic model for 10:00 AM –10:50AM (1661) incompressible nematic elastomers. Andrea Catalina Rubiano, Purdue University (1056-35-235) MAA Invited Address 10:30AM Approximating invariant densities of metastable (1662) systems. 10:05 AM –10:55AM Cecilia Gonzalez Tokman, University of Maryland (1646) Symplectic embeddings and continued fractions. (1056-37-977) Dusa McDuff,BarnardCollege,Columbia University (1056-A0-5) MAA Business Meeting

11:10 AM – 11:40 AM AWM Workshop: Poster Session with Presentations Organizer: Martha J. Siegel,TowsonUniversity from Women Graduate Students Moderator: David M. Bressoud, Macalester College 10:30 AM – 11:00 AM 10:30AM Siphons in biochemical reaction systems: an AMS Business Meeting (1647) algebraist’s point of view. Anne Shiu*andBernd Sturmfels,Universityof 11:45 AM – 12:15 PM California Berkeley (1056-13-98) 10:30AM Backward-iteration sequences and boundary NAM Claytor-Woodard Lecture (1648) repelling fixed points in higher dimension. Preliminary report. 1:00 PM –2:00PM , Kansas State University Olena Ostapyuk (1663) (1056-30-147) The Impact of Periodic Proportional Harvesting Policies on TAC-Regulated Fishery Systems. 10:30AM Invariance and Automorphisms of the Computably Abdul-Aziz Yakubu,HowardUniversity (1649) Enumerable Sets. (1056-92-1763) Rachel Epstein, University of Chicago (1056-03-159) AMS-MAA-SIAM Special Session on Research in 10:30AM A bijection between partially directed paths in the Mathematics by Undergraduates, IV  (1650) symmetric wedge and matchings. ,TexasA&MUniversity Svetlana Poznanovi´c 1:00 PM –5:50PM (1056-05-162) Organizers: , Rochester Institute 10:30AM Point Parameter Rings. Darren Narayan of Technology (1651) Chelsea M Walton, University of Michigan (1056-00-164) Bernard Brooks, Rochester Institute of Technology 10:30AM Direct-sum decompositions of modules over rings of (1652) infinite Cohen-Macaulay type. Jacqueline Jensen, Sam Houston State Silvia Saccon, University of Nebraska-Lincoln University (1056-13-180) Carl V. Lutzer, Rochester Institute of 10:30AM A partial generalization of the Gross-Kohnen-Zagier Technology (1653) theorem to higher weight modular forms. Vadim Ponomarenko, San Diego State Kimberly Hopkins, University of Texas at Austin University (1056-11-193) Tamas Wiandt, Rochester Institute of 10:30AM The core and the adjoint: a condition for equality. Technology (1654) Angela L Kohlhaas, University of Notre Dame 1:00PM Computer-Created Human-Comprehensible Logic (1056-13-196)  (1664) Games. Preliminary report. 10:30AM What is a Q curve? Corneliu A. Bodea, Arthur Charlesworth, Diana A. (1655) Ekin Ozman, University of Wisconsin-Madison Iovan and Andrew D. Jones*, University of (1056-11-197) Richmond (1056-03-105)

JANUARY 2010 NOTICES OF THE AMS 185 Program of the Sessions – Saturday, January 16 (cont’d.)

1:30PM The Spread of A Rumor. Preliminary report. 3:00PM Maxwell, Poincar´e and the Rings of Saturn.  (1665) Nick C Fedewa*, Emily E Krause, Alexandra M  (1678) Preliminary report. Sisson and James R Angelos, Central Michigan Tom Archibald, Simon Fraser University University (1056-00-106) (1056-01-254) 2:00PM Structural Adaptation of Microvascular Networks. 3:30PM The n-body problem in spaces of constant  (1666) Preliminary report. (1679) curvature. Rachel S Nancollas*andBenjamin Y Small, Florin N. Diacu, University of Victoria Franklin W. Olin College of Engineering (1056-01-393) (1056-92-132) 4:00PM Italian Mathematics and Mechanics Between the 2:30PM The Relative Gain Array of Cayley Graphs.  (1680) 18th and 19th Centuries.  (1667) Sara D. Townsend*, Suzi Gearheart and John Sandro Caparrini, Institute for the History and Owen, Sam Houston State University (1056-05-134) Philosophy of Science and Technology, Toronto ON, 3:00PM Analysis of the Repackaging of Risk in the Canada (1056-01-1596)  (1668) Sub-Prime Mortgage Crisis. Preliminary report. 4:30PM Federigo Enriques’ Obsession: A Tale from Italian Angela King*, McGill University, Adam (1681) Algebraic Geometry. Preliminary report. Biesenbach, University of Rochester, and Kuni Donald Babbitt*, UCLA, and Judith Goodstein, Natsuki, Brown University (1056-91-138) Einstein Papers Project, Cal Tech (1056-01-306) 3:30PM Matroids, Geometry, Symmetry and the 4th 5:00PM Pinning Down Outliers: 19th Century Stabs at Exact (1669) Dimension.  (1682) Probabilities for Rare Events. Preliminary report. Chencong Bao, Lafayette College, Camila Byron E. Wall, York University (1056-01-548) Friedman-Gerlicz, Claremont McKenna, Peter 5:30PM If Brute Force Does Not Work You Are Not Using McGrath*, Lafayette College, and Jessica Vega,  (1683) Enough: the rise of Numerical Integration in 20th Loyola Marymount (1056-05-146) Century Astronomy. 4:00PM Classical and Virtual Pseudodiagram Theory and Allan D. G. Olley, University of Toronto - IHPST  (1670) New Bounds on the Unknotting Numbers and Genus (1056-01-1124) of Knots. Allison Henrich, Seattle University, No¨el , Williams College, , AMS-SIAM Special Session on Applications of MacNaughton Sneha Narayan Algebraic Geometry, II Oliver Pechenik, Oberlin College, and Jennifer Townsend*, Scripps College (1056-57-148) 1:00 PM –5:50PM 4:30PM Excellent Local Rings with Semi-Local Formal Fibers. (1671) R. Karpman*, Scripps College, N. Arnosti, Williams Organizers: Frank Sottile,TexasA&MUniversity College, C. Leverson, Wellesley College, J. Luis Garcia-Puente,SamHouston Levinson and S. Loepp, Williams College State University (1056-13-179) 1:00PM ArtinProver: a truly hybrid symbolic/numeric global 5:00PM Time to Failure: A Stochastic Model of the  (1684) optimization algorithm. Preliminary report.  (1672) Formation and Development of Abdominal Aortic Erich Leo Kaltofen*, North Carolina State Aneurysms. Preliminary report. University, Zhengfeng Yang, East China Normal Jeremy E Brooks, East Tennessee State University University, Shanghai, China, and Lihong Zhi, (1056-92-325) Academy of Mathematics and Systems Science, 5:30PM A Knot or Not a Knot? Preliminary report. Beijing, China (1056-14-1157)  (1673) Karleigh Frederick, Samantha Hilker and 1:30PM Experimentation at the Frontiers of Reality in Megan Savage*, Sam Houston State University  (1685) . (1056-55-1201) Chris Hillar,MSRI,Luis Garc´ia-Puente,Sam Houston State University, Abraham Mart´in del AMS-MAA Special Session on History of Mathematics, Campo,TexasA&MUniversity,James Ruffo,SUNY III Oneonta, Stephen L. Johnson, Zach Teitler*and Frank Sottile, Texas A&M University (1056-14-396) 1:00 PM –5:50PM 2:00PM Nested canalyzing polynomial dynamical systems.  (1686) Preliminary report. Organizers: , University of Toronto Craig Fraser Reinhard Laubenbacher*, Virginia Bioinformatics Deborah Kent, Hillsdale College Institute, and David Murragarra,Virginia Sloan Despeaux, Western Carolina Polytechnic Institute and State University University (1056-92-1524) 1:00PM Euler, Dilog, and Zeta(2). 2:30PM Computing siphons in biochemical reaction  (1674) Dan Kalman*, American University, and Mark (1687) systems. McKinzie, St. John Fisher College (1056-01-849) Anne Shiu*andBernd Sturmfels,Universityof California Berkeley (1056-13-2006) 1:30PM The Genesis of Generating Functions in Abraham De (1675) Moivre’s Work. 3:00PM A persistence tree-based method for calling peaks David R Bellhouse, University of Western Ontario (1688) in ChIP-seq protein binding analysis. (1056-01-278) Valerie Hower*andLior Pachter,Universityof California, Berkeley (1056-92-1506) 2:00PM What is a Great Book? A Case Study of Legendre’s  (1676) El´ ´ements de G´eom´etrie (1794) and Playfair’s 3:30PM Algebraic geometry of Gaussian graphical models. Elements of Geometry (1795). (1689) Seth Sullivant, North Carolina State University Amy Ackerberg-Hastings, University of Maryland (1056-14-1155) University College (1056-01-625) 4:00PM On a parametrization of positive semidefinite 2:30PM Understanding Early Laplacian Simplifications. (1690) matrices with zeros.  (1677) Preliminary report. Mathias Drton*, University of Chicago, and Menolly Lysne, Simon Fraser University Josephine Yu, MSRI, Berkeley, CA (1056-15-1159) (1056-01-1072) 4:30PM Discussion

186 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

5:00PM The convex algebraic geometry of rank AMS Special Session on Categorical and Algebraic  (1691) minimization. MethodsinRepresentationTheory,II Pablo A Parrilo, Massachusetts Institute of Technology (1056-90-2136) 1:00 PM –5:50PM 5:30PM Orbitopes. Organizers: , University of Oregon (1692) Raman Sanyal,UCBerkeley,Frank Sottile,Texas Jon Brundan A&M University, and Bernd Sturmfels*, UC Berkeley Julia Pevtsova,Universityof (1056-14-424) Washington Eric Friedlander,Universityof Southern California AMS Special Session on Biomathematics: Modeling in 1:00PM AproblemofKollar´ and Larsen on finite linear Biology, Ecology, and Epidemiology, III (1703) groups and crepant resolutions. Preliminary report. Robert M. Guralnick,UniversityofSouthern 1:00 PM –5:50PM California, and Pham Huu Tiep*, University of Organizers: Olcay Akman, Ilinois State University Arizona (1056-20-722) Linda Allen, Texas Tech University 1:30PM Associated variety of simple finite-dimensional (1704) Timothy D. Comar, Benedictine modules over classical Lie superalgebras and University Kac-Wakimoto conjecture. Preliminary report. Vera Serganova, UC Berkeley (1056-16-927) Sophia Jang, Texas Tech University 2:00PM Categorifying quantum groups. , Texas Tech University Lih-Ing Roeger (1705) Aaron D Lauda, Columbia University (1056-16-857) 1:00PM Effect of host heterogeneity on the coevolution of 2:30PM (1693) On Khovanov-Lauda algebras. parasite and host. (1706) Aaron Lauda, Columbia University, and Monica *, , Purdue University, Yiding Yang Zhilan Feng Vazirani*, UC Davis (1056-05-479) Dashun Xu, Southern Illinois University, 3:00PM Carbondale, and Dennis Minchella, Department of Representations of Khovanov-Lauda-Rouquier Biological Sciences, Purdue University (1707) algebras and combinatorics of Lyndon words. (1056-92-1396) Alexander Kleshchev*, University of Oregon, and Arun Ram, University of Melbourne (1056-17-464) 1:30PM Is the resurgence of syphilis a backward  (1694) bifurcation? 3:30PM Categorification via Quiver Varieties. Ruijun Zhao*, Purdue University, and Fabio A. (1708) Anthony Licata*, Stanford, Sabin Cautis, Milner, Arizona State University (1056-92-1239) Columbia, and Joel Kamnitzer,Universityof Toronto (1056-14-524) 2:00PM A comparison of spatial interactions at different (1695) scales. 4:00PM Blocks in Deligne’s category Rep(St). Andrew L Nevai*, University of Central Florida, and (1709) Victor Ostrik, University of Oregon (1056-20-502) Benjamin M Bolker, University of Florida 4:30PM Generalized Trace and Dimension Functions in (1056-92-1839) (1710) Ribbon Categories. 2:30PM Construction and Analysis of a New SIR Model. Nathan Geer, Utah State University, Jonathan (1696) Ronald E. Mickens*andSandra Rucker,Clark Kujawa*, University of Oklahoma, and Bertrand Atlanta University (1056-92-416) Patureau-Mirand,Universit´edeBretagne-Sud (1056-17-238) 3:00PM Dynamically consistent discrete-time Lotka-Volterra (1697) models. Preliminary report. 5:00PM On quantum foldings. Preliminary report. Lih-Ing W Roeger, Texas Tech University (1711) Arkady Berenstein, University of Oregon, Eugene, (1056-39-347) and Jacob Greenstein*, University of California, Riverside (1056-17-1394) 3:30PM Infectious diseases in amphibians: adults as (1698) reservoir for epidemics in larvae. 5:30PM Colored tangle invariants and quantum sl(2) Thanate Dhirasakdanon*andHorst R. Thieme, (1712) categorification. Arizona State University (1056-92-413) Joshua Sussan, University of California Berkeley (1056-16-1509) 4:00PM Mathematical Modeling of Data describing Worker  (1699) Bee Aggression towards a Foreign Queen. Suzanne Sumner*andWyatt A. Mangum, University of Mary Washington (1056-92-501) 4:30PM Discrete hierarchical competition with reward and AMS Special Session on Differential Galois Theory  (1700) cost of dispersion. and Group Representations: A Tribute to Andy Magid, Jemal S. Mohammed-Awel*, Valdosta State II University, Kbenesh W. Blayneh,FloridaA&M University, and ,Howard Abdul-Aziz Yakubu 1:00 PM –5:50PM University (1056-92-43) 5:00PM Biological Data Mining and Analysis. Preliminary Organizers: James Carrell, University of British  (1701) report. Columbia Alice L. Loth, University of Massachusetts, Lourdes Juan, Texas Tech University Dartmouth (1056-92-1834) Alex Lubotzky, Hebrew University 5:30PM Parameter Estimation and Uncertainty Brian Parshall, University of Virginia (1702) Quantification for an Epidemic Model. Alex Capaldi*, Center for Quantitative Sciences in Marius van der Put,Universityof Biomedicine and Department of Mathematics North Groningen Carolina State University, and A. L. Lloyd,Graduate 1:00PM Iterated Antiderivative Extensions. Preliminary Program in Biomathematics and Department of (1713) report. Mathematics North Carolina State University V. Ravi Srinivasan, Rutgers University-Newark (1056-92-730) (1056-12-429)

JANUARY 2010 NOTICES OF THE AMS 187 Program of the Sessions – Saturday, January 16 (cont’d.)

1:30PM Some 1-andn-cohomology results for finite and 4:00PM Motivic integration and Harish-Chandra characters. (1714) algebraic groups. (1729) Preliminary report. Leonard L Scott, The University of Virginia Raf Cluckers, University of Lille, Clifton (1056-20-1001) Cunningham, University of Calgary, Julia Gordon*, University of British Columbia, and , 2:00PM Support varieties and complexity for algebraic, Loren Spice (1715) finite, and quantum groups. Preliminary report. Texas Christian University (1056-22-1046) Brian Parshall, University of Virginia (1056-20-861) 4:30PM Distinguished representations of reductive p-adic (1730) Preliminary report. 2:30PM A Survey On Representation Zeta Functions. groups. (1716) Nir Avni, Harvard University (1056-20-782) Fiona Murnaghan, University of Toronto (1056-22-463) 3:00PM Analogies between differential Galois theory and (1717) additive Galois structure theory. Preliminary report. 5:00PM An Integral Formula of Shahidi. Ted Chinburg*, University of Pennsylvania, (1731) Steven T Spallone,UniversityofOklahoma Lourdes Juan, Texas Tech University, and Andy (1056-22-829) Magid, University of Oklahoma (1056-16-1103) 5:30PM On the Langlands-Shahidi method for the classical 3:30PM On a remarkable formula of Kostant and (1732) groups in non-zero characteristic and applications. (1718) Macdonald, pattern avoidance and smoothness of Preliminary report. Schubert varieties in a generalized flag variety. Luis Alberto Lomeli,TheUniversityofIowa Jim Carrell, University of British Columbia (1056-22-117) (1056-14-1126) 4:00PM Groups defined by arithmetic differential equations. (1719) Alexandru Buium,UniversityofNewMexico (1056-11-384) AMS Special Session on Integrability of Dynamical 4:30PM On subgroup induction in group representation and Systems and Solitons Equations, II (1720) . Eli Aljadeff*andEhud Meir, Technion-Israel 1:00 PM –5:50PM Institute of Technology (1056-20-592) Organizers: Zhijun Qiao, University of Texas-Pan 5:00PM The Hall index of a subgroup of a free group. American (1721) Shmuel Rosset,Mathematics,TelAvivUniversity, Israel. (1056-20-1204) Taixi Xu, Southern Polytechnic State University 5:30PM Some Problems in Galois Theory and Representation , University of South Florida (1722) Theory. Preliminary report. Wenxiu Ma Andy R. Magid,UniversityofOklahoma 1:00PM Solitons, boundary value problems and a nonlinear (1056-13-1259) (1733) method of images. Gino Biondini*, SUNY at Buffalo, and Guenbo Hwang, University of Vermont (1056-35-1722) 1:30PM The exact solutions of Lund-Regge equation and its AMS Special Session on Harmonic Analysis and (1734) soliton surfaces. Representations of Reductive p-adic Groups, II Chunli Chen, Shanghai Jiao Tong University (1056-35-1498) 1:00 PM –5:50PM 2:00PM A Detailed Bifurcation Diagram and Semi-Analytic (1735) Organizers: ,TexasChristian Solutions of the Forced Korteweg-de Vries Equation. Robert Doran and *, San University Aaron S. Donahue Samuel S. P. Shen Diego State University (1056-35-725) Paul Sally, University of Chicago 2:30PM Peakons of b-family and Qiao Equations. Loren Spice,TexasChristian (1736) Preliminary report. University Taixi Xu, Southern Polytechnic State University 1:00PM Tame supercuspidal representations of GL(n) (1056-35-1606) (1723) distinguished by orthogonal groups. 3:00PM On the Lagrangian Description of Discrete Joshua M Lansky*andJeffrey L Hakim,American (1737) Integrable Systems. Preliminary report. University (1056-22-1764) Anton Dzhamay, University of Northern Colorado 1:30PM Tamely ramified tori. Preliminary report. (1056-39-1943) (1724) Jeffrey D Adler*, American University, and 3:30PM Symmetries and algebras for a MKdV-type equation Stephen M. DeBacker, University of Michigan  (1738) in (2+1)-dimension. Preliminary report. (1056-22-1820) Jun Yu, Institute of Nonlinear Science, Shaoxing 2:00PM On the Heisenberg groups and Weil representations University (1056-35-686) (1725) in characteristic 2. Preliminary report. 4:00PM Optical soliton perturbation by He’s variational Jiu-Kang Yu, Purdue University (1056-22-2018)  (1739) principle. 2:30PM Revisiting the Local Langlands Correspondence for Anjan Biswas, Delaware State University (1726) GL(n,F), n a prime. (1056-78-582) , University of Maryland Moshe Adrian 4:30PM A Novel Adaptive Method for SAR Jamming (1056-11-337) (1740) Suppression. Preliminary report. 3:00PM Some irreducible representations of SL(2,O), where Feng Zhou*, Guangcai Sun, Xueru Bai and (1727) O is the integer ring of a p-adic field. Preliminary Mengdao Xing, National Key Laboratory for Radar report. Signal Processing (1056-78-864) ,UniversityofOttawa,Canada Monica Nevins 5:00PM Study on ISAR imaging of steadily moving targets (1056-22-1293) (1741) with large observation angles. Preliminary report. 3:30PM An application of Gamma asymptotic expansions. Xueru Bai*, Mengdao Xing, Feng Zhou and Zheng (1728) Preliminary report. Bao, National Key lab. for radar signal processing Ju-Lee Kim, MIT (1056-22-1435) (1056-78-708)

188 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

5:30PM PDE Analysis and Cross-Range Imaging of Synthetic 1:30PM Symplectification, Generalized Tanaka  (1742) Aperture Radar. Preliminary report. (1754) Prolongations, and Geometry of Distributions. Zhijun Qiao*, Jaime Lopez and Guillermo Garza, Preliminary report. Univ Texas - Panam (1056-35-765) Igor Zelenko, Texas A&M University (1056-53-805) 2:00PM Local twistors and the conformal field equations. (1755) Jorg¨ Frauendiener,UniversityofOtago AMS Special Session on Optimal Frames and (1056-53-375) Operator Algebras, II 3:00PM Third order odes and conformal Finsler geometries. (1756) Jonathan E Holland, University of Pittsburgh 1:00 PM –5:50PM (1056-53-593) Organizers: David Larson,TexasA&MUniversity 3:30PM Variational calculus in non-commutative frames. Deguang Han,UniversityofCentral (1757) Preliminary report. Florida Irina A Kogan, North Carolina State University (1056-53-551) Shidong Li, San Francisco State University 4:00PM Non-compact Hopf Maps, Quantum Hall Effect, and  (1758) Preliminary report. 1:00PM Dual Gramian Analysis and its development. Twistor Theory. , Takuma National College of (1743) Zuowei Shen, National University of Singapore Kazuki Hasebe (1056-41-770) Technology (1056-51-696) 4:30PM 1:30PM Can one hear the shape of a fractal? Integrable models and the gauge/string duality. (1744) Dorin Dutkay, University of Central Florida (1759) Radu S Roiban, Pennsylvania State University (1056-46-781) (1056-00-2004) 5:00PM 2:00PM Irregular Gabor tight frames associated with rough The Chern-Moser chains of left-invariant CR (1745) windows. Preliminary report. (1760) structures on SU(2) via Fefferman approach. Jean-Pierre Gabardo,McMasterUniversity Alex L Castro*andRichard Montgomery,UCSC (1056-42-819) (1056-32-654) G 2:30PM A Quantitative Notion of Redundancy. 5:30PM The exceptional 2 and gravity. (1746) Peter Casazza, University of Missouri, and Gitta (1761) George Arthur Sparling, Laboratory of Axiomatics, Kutyniok*, University of Osnabrueck (1056-42-854) University of Pittsburgh (1056-53-1661) 3:00PM Gabor frames and Strichartz estimates. Preliminary (1747) report. Kasso A. Okoudjou, University of Maryland (1056-41-906) AMS Special Session on Permutations, II 3:30PM Function spaces and representations. 1:00 PM –5:50PM (1748) Gestur Olafsson*, Louisiana State University, and Jens Christensen, University of Maryland and the Organizers: Persi Diaconis, Stanford University Norbert Wiener Center (1056-46-1079) Ira M. Gessel, Brandeis University 4:00PM Perturbations of finite frames and projections. Richard P. Stanley, Massachusetts (1749) Victor Kaftal*, University of Cincinnati, and David Institute of Technology R. Larson, Texas A&M University (1056-47-1084) 1:00PM Permutations associated with random interval 4:30PM Classification of filter systems giving rise to  (1762) partitions. Preliminary report. (1750) generalized multiresolution analyses. Preliminary Jim Pitman, University of California, Berkeley report. (1056-05-1620) Judith A Packer, University of Colorado at Boulder (1056-42-1087) 1:30PM n! matchings, n! posets. (1763) Anders Claesson*, The Mathematics Institute, 5:00PM 1 Spectral sets for 2n -Bernoulli convolutions. School of Computer Science, Reykjavik University, (1751) Keri Kornelson*, University of Oklahoma, Palle and Svante Linusson,KTH-RoyalInstituteof Jorgensen, University of Iowa, and Karen Shuman, Technology (1056-05-1939) Grinnell College (1056-47-1091) 2:00PM The absence of a given pattern and the number of 5:30PM Regularity for exact Gabor systems on a lattice.  (1764) occurrences of another. (1752) Alexander Powell*, Vanderbilt University, and Miklos Bona, University of Florida (1056-05-932) , Georgia Institute of Technology Christopher Heil 2:30PM Extension of the d-divisible partition lattice. (1056-42-1145) (1765) Richard Ehrenborg*andJiYoon Jung,University of Kentucky (1056-05-1585) AMS Special Session on Parabolic Geometries, 3:00PM Bijective enumeration of permutations starting with (1766) Integrable Systems, and Twistor Theory, II a longest increasing subsequence. Greta Panova, Harvard University (1056-05-1077) 1:00 PM –5:50PM 3:30PM From random permutations to random matrices — (1767) an alternative for RSK. Organizers: Dana Mihai, Carnegie Mellon Alexei Borodin, California Institute of Technology University (1056-05-2152) Jonathan Holland,Universityof 4:00PM Carries and shuffling. Pittsburgh  (1768) Persi Diaconis, Stanford Univeristy, and Jason George Sparling,Universityof Fulman*, University of Southern California Pittsburgh (1056-05-1709) 1:00PM Generic rank two distributions on five-manifolds 4:30PM Distribution of Segment Lengths in Genome (1753) and associated conformal structures. (1769) Rearrangements. Katja Sagerschnig, University of Vienna, Austria Glenn P Tesler, University of California, San Diego (1056-53-792) (1056-05-2013)

JANUARY 2010 NOTICES OF THE AMS 189 Program of the Sessions – Saturday, January 16 (cont’d.)

5:00PM Permutation problems. 3:30PM Characteristics of a Classical and Quantum  (1770) Donald E. Knuth, Stanford University (1781) Two-Sphere Singularity. (1056-05-168) Deborah A. Konkowski*, U.S. Naval Academy, and , Harvey Mudd College 5:30PM How to encipher small messages: Encryption using Thomas M. Helliwell (1771) the Thorp shuffle. (1056-83-884) Ben J Morris*, Phillip Rogaway and Till Stegers, 3:45PM Break UC Davis (1056-60-1404) 4:00PM Local uniqueness of Minkowski space. (1782) Didier A. Solis*andLuis A. Farfan,Universidad Autonoma de Yucatan (1056-83-1577) MAA Minicourse #1: Part B 4:15PM A spectral notion of Gromov-Wasserstein distances. (1783) Facundo Memoli, Stanford University, Mathematics 1:00 PM –3:00PM (1056-68-440) 4:30PM Remodeling data analysis. A Mathematical Theory of Stochastic Microlensing. (1784) Alberto M Teguia*, Arlie O. Petters,Duke Organizers: , Macalester College Daniel Kaplan University, and Brian Rider, University of Colorado Vittorio Addona, Macalester College (1056-83-1767) 4:45PM Geometric properties of continued fractions. (1785) Avraham Bourla, University of Connecticut at MAA Minicourse #5: Part B Storrs (1056-52-595) 5:00PM A new argument for the exactness at the 1:00 PM –3:00PM (1786) (n+1)-thickening term in the C.T.C Wall’s exact sequence for thickenings. Active learning approaches for the foundational Mokhtar B. Aouina, Jackson State University mathematics for elementary teachers courses. (1056-55-1671) Organizers: , Western Oregon Laurie J. Burton 5:15PM University Resolvable maps preserve complete metrizability.  (1787) Su Gao and Vincent Kieftenbeld*, University of Cheryl Beaver, Western Oregon North Texas (1056-54-408) University Klay Thomas Kruczek,Western Oregon University AMS Session on Research by Undergraduates, II

1:00 PM –5:55PM AMS Session on Geometry and Topology, IV 1:00PM The Fractal Beauty of Byzantine Music. (1788) Firas Y Hindeleh and Jessica R Sears*, Grand 1:00 PM –5:25PM Valley State University (1056-37-717) 1:00PM Weak Solutions to a Degenerate Monge-Amp`ere 1:15PM Manifolds with Density as Quotients of Riemannian (1772) Type Equation on Kahler¨ Surfaces.  (1789) Manifolds. Arvind S. Rao, University of Iowa (1056-53-187) Alexander Diaz, Univeridad de Puerto Rico, 1:15PM Low dimensional cohomogeneity one manifolds. Mayaguez, Nathan Harman*, University of (1773) Corey A. Hoelscher,RutgersUniversity Massachusetts, Amherst, Sean Howe,Universityof (1056-53-509) Arizona, and David Thompson, Williams College (1056-53-101) 1:30PM Duality Properties of Indicatrices of Knots.  (1774) Charmaine Sia, Massachusetts Institute of 1:30PM Isoperimetric Regions in Planar Sectors with Density Technology (1056-53-566)  (1790) r p. , University of Puerto Rico, 1:45PM Alexander Diaz Nate Volume of Meromorphic Vector fields on Flat Tori. , University of Massachusetts - Amherst, (1775) Preliminary report. Harman *, University of Arizona, and , The University of Texas of the Sean P Howe David Amine Fawaz , Williams College (1056-53-100) Permian Basin (1056-53-728) Thompson 1:45PM 2:00PM The Spherical Stick Index and Compositions of Symmetric Almost r -Paracontact Connections.  (1791) (1776) Preliminary report. Trefoils. Colin Adams, Williams College, Dan Collins*, Andrew Bucki, Langston University (1056-53-1127) Cornell University, Katherine Hawkins, Williams 2:15PM Break College, Charmaine Sia, Massachusetts Institute of 2:30PM Singular reduction of generalized complex Technology, Rob Silversmith, Williams College, (1777) manifolds. and Bena Tshishiku, Washington and Lee Timothy E Goldberg, Cornell University University (1056-57-546) (1056-53-1467) 2:00PM The game chromatic index of trees. 2:45PM Behavior of the Chern-Simons forms under the Ricci  (1792) Charles Dunn, Linfield College, David Morawski*, (1778) flow. University of California, Berkeley, and Jennifer Christopher R Godbout, Lehigh University Nordstrom, Linfield College (1056-00-435) (1056-53-1720) 2:15PM Moduli spaces of low dimensional associative 3:00PM Curvature-adapted hypersurfaces of 2-type in (1793) algebras and their deformations. (1779) quaternion space forms. Daniel Joseph Wackwitz*andMichael Robert Ivko M Dimitric, Penn State University Fayette Penkava, University of Wisconsin-Eau Claire (1056-53-1752) (1056-16-1344) 3:15PM Uniqueness of folded symplectic toric manifolds. 2:30PM Proving Summation Identities: The WZ Method (1780) Preliminary report.  (1794) versus Counting. Christopher R Lee,UniversityofPortland Timothy D. Ferdinands, Calvin College & Grand (1056-53-2066) Valley State University REU (1056-05-1545)

190 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

2:45PM An elementary proof of Touchard’s Congruence. 1:15PM Forbidden Subgraphs in Oriented Line Graphs.  (1795) Gregory B Hurst, University of Illinois at Urbana (1808) Elizabeth Moseman*, USMA at West Point, and (1056-05-992) Chris Storm, Adelphi University (1056-05-1315) 3:00PM Competitive Graph Coloring on Outerplanar 1:30PM Some Results On λ-Designs With Two Block Sizes.  (1796) Graphs. Preliminary report. (1809) Preliminary report. Cassandra Naymie*, University of Waterloo, Tariq Akef Alraqad*, Northern State University, Charlie Suer, University of Dayton, and Erin Pitney, and Mohan Shrikhande, Central Michigan Beaverton School District (1056-05-1330) University (1056-05-1319) 3:15PM On λ-fold Rosa-type Labelings. 1:45PM Using Analysis of Algorithms to Derive (1797) Jeffrey Mudrock*, University of Illinois,  (1810) Combinatorial Equalities. Champaign-Urbana, Lucas Allen,MortonHigh Amy Mihnea, Florida Atlantic University School, Ryan Bunge, Normal Community High (1056-05-1377) School, , , , Saad El-Zanati Daniel Gannon Kyle Knee 2:00PM Minimal Percolating Sets in Trees. Illinois State University, and , Jessica Smith (1811) Eric Riedl, University of Notre Dame Morehead State University (1056-05-1749) (1056-05-1386) 3:30PM On Cyclic Cycle Plus a Chord Designs. 2:15PM Intermediate Ordered Colorings of Graphs.  (1798) *, Dunlap High School, Desiree Masters Ryan  (1812) Darren A Narayan, Rochester Institute of Bunge, Normal Community High School, Saad Technology (1056-05-1139) El-Zanati, Illinois State University, Theresa 2:30PM Kamykowski, Loyola University, Chicago, and Isai Spectra of Coronae.  (1813) and *, Willamette Almeida-Arrieta, Western Michigan University CMcLeman EMMcNicholas (1056-05-1775) University (1056-05-1391) 2:45PM 3:45PM Minimal Sufficient Sets and the Commutativity of The Excess Range of Factorizations of Regular (1814) Preliminary report.  (1799) Patterns. Graphs. *and ,Smith Zhexiu Tu*, Bard College, and Olivia Walch, Sarah-Marie Belcastro Michael Young College of William and Mary (1056-15-1428) College (1056-05-1478) 3:00PM Break 4:00PM Inverse Inertia Problem for Graphs.  (1800) Emily McHenry*, Xavier University, and Robert 3:15PM A graph-theoretic generalization of the Lang, Florida Atlantic University (1056-15-355) (1815) Erdos-Ko-Rado¨ theorem. *and ,Arizona 4:15PM Sudoku,Shidoku,and...Grobner¨ Bases? An Vikram M. Kamat Glenn Hurlbert State University (1056-05-1519)  (1801) Algebraic and Computer Systems Approach to Counting Equivalent Puzzles. Preliminary report. 3:30PM First-Fit coloring of p-tolerance graphs. Matthew J. Menickelly*andKatharina M. Carella, (1816) Karin R. Saoub*, Roanoke College, and H. A. James Madison University (1056-14-1419) Kierstead, Arizona State University (1056-05-1636) 4:30PM Galois groups via Galois modules in Artin-Schreier 3:45PM Spectral Properties of Abelian Gain Graphs.  (1802) theory. Preliminary report. (1817) Preliminary report. Jennifer S Berg, University of Illinois at Nathan H Reff, Binghamton University Urbana-Champaign (1056-12-1534) (1056-05-1796) 4:45PM Break 4:00PM Multigraph Detachments, Hamiltonian (1818) 5:00PM Some Remarks on Diophantine Triples. Preliminary Decompositions and Graph Embeddings.  (1803) report. M Amin Bahmanian*andCARodger, Auburn University (1056-05-1806) Xuemei Ye*andAklilu Zeleke, Michigan State University (1056-11-1637) 4:15PM A probability method to prove combinatorial  (1819) 5:15PM Rubric-scored Assessments: A Study of Inter-rater identities. , University of Pennsylvania  (1804) Reliability. Preliminary report. Tong Zhu (1056-05-1863) Loree Kim Killebrew*andXinyan Yan, Birmingham-Southern College (1056-62-814) 4:30PM The Hamiltonian decomposition problem for Cayley  (1820) 5:30PM Steady State Rimming Flow of non-Newtonian Fluid. graphs on abelian groups. , Michigan Technological University  (1805) Jared Debrunner*, California State University, Erik E Westlund (1056-05-1999) Chico, Anton Mazurenko, Massachusetts Institute of Technology, Brent Nelson, University of Illinois 4:45PM Vertex coloring of graphs by total 2-weightings. at Urbana-Champaign, and Sergei Fomin, California (1821) Jonathan Darren Hulgan*, The University of State University, Chico (1056-76-773) Memphis, Jeno Lehel, The University of Memphis; Computer and Automation Research Institute, 5:45PM A study of a two species battle between an Hungarian Academy of Sciences, ,Keio  (1806) intelligent army and insurgent defenders. Kenta Ozeki University, and ,Nihon Nicholas De Meglio, Rebecca Hager*, Jorge Wu Kiyoshi Yoshimoto University (1056-05-2083) Mok, Matthew Westley, University at Buffalo, and Surajit Sen, Physics Department, University at Buffalo (1056-91-1704)

AMS Session on Optimization and Control

AMS Session on Discrete Mathematics, VI 1:00 PM –5:25PM

1:00PM 1:00 PM –4:55PM Generalized Steiner and Schwarz Symmetrization. (1822) Frank Morgan*, Williams College, Alexander Diaz, 1:00PM Characterizing linear programming University of Puerto Rico, Nate Harman,University (1807) pseudocodewords using graphical methods. of Massachusetts, Amherst, Sean Howe,University Nathan Axvig, University of Nebraska-Lincoln of Arizona, and David Thompson, Williams College (1056-05-1281) (1056-49-401)

JANUARY 2010 NOTICES OF THE AMS 191 Program of the Sessions – Saturday, January 16 (cont’d.)

1:15PM Higher Order Sufficient Conditions for Strict AMS Session on Computational Math, IV (1823) Minimality in Smooth Scalar Optimization. Elena Constantin, University of Pittsburgh at 1:00 PM –2:40PM Johnstown (1056-49-1049) 1:00PM Optimization in Developing Prediction Scoring 1:30PM The asymptotic behavior of power-law functionals (1838) Function for Mutagenesis Solubility. (1824) and applications. Ye (Alice) Tian, Washington State University Cristina Popovici, NDSU (1056-49-1104) (1056-90-2129) 1:45PM On the Principle of Smooth Fit for Some Convex 1:15PM Applications of Ensemble based Simulated (1825) Optimal Control Problems.  (1839) Annealing to Intensity Modulated Radiation Therapy , American University of Nigeria Jesus A. Pascal Planning (IMRTP). Preliminary report. (1056-49-1194) Abebaw Tadesse*andFranklin Fondjo Fotou, 2:00PM Optimal Control and its Application to Hepatitis C Langston University (1056-90-608)  (1826) Treatment. 1:30PM Multiresolution Shannon-type wavelet on the , Indian Institute of Siddartha P. Chakrabarty (1840) Heisenberg group. Technology Guwahati, India, and *, Hem R Joshi Azita Mayeli, City University of New York Xavier University, Cincinnati OH (1056-49-1645) (1056-43-755) 2:15PM Break 1:45PM Equivalence of Curves Under Generalized Weak 2:30PM Application of Nonlinear Optimization in the Design (1841) Perspective Projection.  (1827) of a Doubly Convergent Multiple-Beam Electron Gun. Joseph M Burdis*andIrina A Kogan,North Adam Attarian*, Tallis J William, Hien T Tran, Carolina State University (1056-00-626) North Carolina State University, and , Lawrence Ives 2:00PM Calabazas Creek Research, Inc. (1056-49-1654) Extraction of Transport Coefficients in Stochastic  (1842) Production Systems. 2:45PM The Minimal Time Problem On Stratified Domains. Ali Kemal Unver, Coral Academy of Science Las (1828) Richard C Barnard*andPeter R Wolenski, Vegas (1056-90-1745) Louisiana State University (1056-49-1675) 2:15PM Closure of a Saint Venant model for free surface 3:00PM Analysis of Tendon-Reinforced Piecewise-Isotropic (1843) flows on an open channel with cross stream (1829) Pressurized Membranes. variation of the bottom roughness. Michael C. Barg*, Niagara University, Jieun Lee and Ahmed Kaffel*, Virginia Tech, Amel Soualmia, Frank Baginski, The George Washington University LMHE, and Masbernat Lucien,IMFT (1056-49-1690) (1056-70-1432) 3:15PM Sensitivity-Based Optimization Applied to Equations 2:30PM Modeling Network Traffic as a Filtered  (1830) Modeling Film Casting.  (1844) Semi-Markov-Process. Preliminary report. David C Szurley, Francis Marion University Ahlam E Tannouri*andSam F Tannouri,Morgan (1056-49-1702) State University (1056-90-2041) 3:30PM Morrey Regularity for Asymptotically Convex (1831) Variational Problems with (p,q) Growth. Kyle Fey*andMikil Foss, University of Nebraska - Lincoln (1056-49-1850) MAA Session on Innovative and Effective Ways to 3:45PM A Modified Piecewise Constant Mumford-Shah Model Teach Linear Algebra, II (1832) Based Simultaneous Image Segmentation and Registration. Preliminary report. 1:00 PM –5:15PM *, California State University Stanislaus, Jung-Ha An Organizers: David M. Strong, Pepperdine and Yunmei Chen, University of Florida University (1056-49-1967) Gilbert Strang, Massachusetts 4:00PM Break Institute of Technology 4:15PM Generalized shearlets and the extended metaplectic David C. Lay, University of Maryland (1833) group. Emily J King*, National Institutes of Health / 1:00PM Linear Algebra Done Right! Back to Grassmann. Norbert Wiener Center UMD, and Wojciech Czaja, (1845) K. Rohan Attele*, Dan Hrozencik and Victor University of Maryland (1056-43-1718) Akatsa, Chicago State University (1056-G1-2056) 1:20PM 4:30PM Remarks on the Apportionment of the U. S. House of One course to serve them all: mathematicians,  (1834) Representatives. Preliminary report. (1846) computer scientists, and engineers. Daniel D Sheng*, Westwood High School, and David Mazur, Western New England College Edwin Oxford, Baylor University (1056-00-511) (1056-G1-1707) 1:40PM 4:45PM An Estimate of The Radius of an Attraction Ball for Learning technology to teach mathematics.  (1835) TV-Minimization Problems in Image Denoising. (1847) Josep Ferrer*, Universitat Politecnica de Catalunya, L. A. Melara*, Shippensburg University, and A. J. Carmen Ortiz, Universidad de Extremadura, and Kearsley, NIST (1056-90-1776) Marta Pena, Universitat Politecnica de Catalunya (1056-G1-600) 5:00PM Production Inventory Planning in a Stochastic (1836) Manufacturing System with Discounted Cost. 2:00PM Use of Technology in Teaching the Mathematics of Anton Abdulbasah Kamil*andMd Azizul Baten,  (1848) Linear Algebra. Preliminary report. Universiti Sains Malaysia (1056-90-176) Carl C. Cowen, IUPUI (1056-G1-587) 2:20PM 5:15PM Relaxed Matching for the Method of Controlled ICT Linear algebra class model with Sage-math.  (1837) Lagrangians. (1849) Sang-Gu Lee*andDuk-Sun Kim, Sungkyunkwan David A Long*, North Carolina State University, University (1056-G1-1131) Anthony M Bloch, University of Michigan, Jerrold E 2:40PM Enhancing Students’ Attitudes towards Linear Marsden, California Institute of Technology, and  (1850) Algebra with Technology. Dmitry V Zenkov, North Carolina State University Karsten Schmidt, Schmalkalden University of (1056-70-1372) Applied Sciences, Germany (1056-G1-378)

192 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

3:00PM Programming Linear Algebra. 4:00PM Visualizing the Dynamics of the Unit Circle Group.  (1851) Daniel R. Jordan, Columbia College Chicago  (1867) Preliminary report. (1056-G1-1380) Anne M. Burns, Long Island University, C.W. Post 3:20PM Looking at Conceptual Online Linear Algebra Campus (1056-C1-353)  (1852) applets. 4:20PM A Feigenbaum Face. David E. Meel, Bowling Green State University  (1868) Ann Robertson, Connecticut College (1056-G1-1931) (1056-C1-1955) 3:40PM Matrix Multiplication and Applications: A 4:40PM Lithographs Representing Some Mathematical  (1853) and Egg Problem.  (1869) Topics. Murphy Waggoner, Simpson College Lisl Gaal, University of Minnesota (1056-C1-1789) (1056-G1-411) 5:00PM Monument to Error, Perspectives: The Love of Form, 4:00PM Inverses for Matrices that Don’t Have Inverses.  (1870) and Solution Set.  (1854) Jeffrey L Stuart, Pacific Lutheran University Jeffrey M Groah, Lone Star College-Montgomery (1056-G1-958) (1056-C1-392) 4:20PM Inclusion of new applications in a Linear Algebra 5:20PM Further Aesthetic Explorations in Phase Space.  (1855) course, without compromising the coverage of the (1871) Douglas E. Norton, Villanova University traditional topics. (1056-C1-1801) Mohammad Khadivi, Jackson State University (1056-G1-970) 4:40PM Using Linear Algebra to Measure Power. MAA Session on General Contributed Papers, XII  (1856) Jennifer Wilson*, Eugene Lang College the New School for Liberal Arts, , California Karrolyne Fogel 1:00 PM –5:10PM Lutheran University, Kay Somers,Moravian College, and Angela Spalsbury, Youngstown State Organizers: Eric S. Marland, Appalachian State University (1056-G1-1528) University 5:00PM Applying Image Processing Techniques to Promote Daniel J. Curtin, Northern Kentucky  (1857) Conceptual Understanding in Linear Algebra University Classes. Preliminary report. 1:00PM On Determining the Number of Clusters–An Jen-Mei Chang*andXuhui Li, California State  (1872) Empirical Study of Different Algorithms. University, Long Beach (1056-G1-111) Brian Bies, Washington University in St Louis, Kathryn Dabbs, University of Tennessee, and Hao Zou*, Macalester College (1056-Z1-1500) MAA Session on Arts and Mathematics, II 1:15PM The Spaghetti Model: DNA Sequencing using Graph  (1873) Theory. 1:00 PM –5:35PM Faun C. C. Doherty, Peter A. Gentile*, Jennifer M. Organizer: Douglas E. Norton, Villanova Magee and Christian J. Miedel, Washington and University Jefferson College (1056-Z1-240) 1:00PM Material Properties of hyperbolic space in relation 1:30PM Uniquely H-Saturated Graphs.  (1858) to history of clothing. Preliminary report.  (1874) Joshua Cooper, University of South Carolina, John Rebecca E Field,JamesMadisonUniversity Lenz, Timothy LeSaulnier, Paul Wenger*and (1056-C1-2131) Douglas B. West, University of Illinois at Urbana-Champaign (1056-Z1-1195) 1:20PM Symmetry Preference and Meaning in Tibetan Sand  (1859) Mandalas. 1:45PM A vertex ordering result for an application of DNA Valerie Ng and Darrah Chavey*, Beloit College  (1875) sequencing using tripartite unit probe interval (1056-C1-1887) graphs. , *, 1:40PM Modeling Heraldic Design Using Shape Grammars. Faun C. C. Doherty Christian J. Miedel Peter A.  (1860) Preliminary report. Gentile and Jennifer M. Magee, Washington and Jefferson College (1056-Z1-239) Barbara A. Ashton, BMCC - City University of New York (1056-C1-1547) 2:00PM Higher Reciprocity. Preliminary report.  (1876) , University of North Carolina 2:00PM Hyperbolic Conic Section through Kinetic Sculpture. Nancy Carol Buck Greensboro (1056-Z1-754)  (1861) Jeff Chyatte, Montgomery College (1056-C1-1410) 2:15PM Break. 2:20PM Mathematics, art, and the Fusion Project. (1862) Preliminary report. 2:30PM A connectivity preserving discontinuous function. Benjamin Wells, University of San Francisco  (1877) Jeffrey M Groah, Lone Star College-Montgomery (1056-C1-1320) (1056-Z1-389) 2:40PM The Mathematical Development of Music. 2:45PM PTA(9)s fixed under multiplier -1. (1863) Alan Levine, Franklin and Marshall College  (1878) Chirashree Bhattacharya, Randolph-Macon College (1056-C1-1236) (1056-Z1-1795) 3:00PM Group explorations and art projects in a 3:00PM Linear Operators and Zeros of Polynomials.  (1864) mathematics of art course for first-year students. (1879) Preliminary report. Debra L. Hydorn, University of Mary Washington Andrzej Piotrowski, University of Alaska Southeast (1056-C1-1757) (1056-Z1-2038) 3:20PM What is sangaku? Preliminary report. 3:15PM Be the Volume: A hands-on method for presenting  (1865) Peter N Wong, Bates College (1056-C1-382)  (1880) the estimation of volume under a surface. 3:40PM Writing Critically with Enthusiasm for Jessica M Mikhaylov, U.S. Military Academy, West (1866) Mathematicians. Point (1056-Z1-1282) Suzanne Galayda*, New Mexico State University, 3:30PM Dual Enrollment vs Duel Enrollment. and Alexandra D’Italia, Southwestern Law School (1881) Larry Bouldin*andBenjamin King,RoaneState (1056-C1-1405) Community College (1056-Z1-1364)

JANUARY 2010 NOTICES OF THE AMS 193 Program of the Sessions – Saturday, January 16 (cont’d.)

3:45PM Is Mathematics Indispensable and Are Pre-requisites 4:00PM Hypothesis Testing: Tools for Exploration and (1882) Needed in Mathematics Courses?  (1897) Practice. Padraig M. McLoughlin, Kutztown University of Sarah L Mabrouk, Framingham State College Pennsylvania (1056-Z1-356) (1056-K1-1486) 4:00PM Teaching a Course on Women in Mathematics. 4:20PM Google-opoly.  (1883) Preliminary report. (1898) Tim Chartier, Davidson College (1056-K1-1532) , Pittsburg State University Cynthia J Woodburn 4:40PM The Lurch Project: Validation on Demand. (1056-Z1-516)  (1899) Preliminary report. 4:15PM A Basic College Level Mathematics course for a lay Nathan Carter, Bentley University, Paul F (1884) man knowing only four basic operations with Christiano,MIT,andKenneth G Monks*, nonnegative integers. University of Scranton (1056-K1-1588) , University of Texas - Pan Santanu Chakraborty 5:00PM Applets for Discovery and Assessment in Math for American, Edinburg, Texas (1056-Z1-80)  (1900) Liberal Studies. 4:30PM Experiences in Recruiting, Retention and Graduation Doug Ensley*andJames Hamblin, Shippensburg  (1885) in the Kean STEM Scholarship Program. University (1056-K1-1966) *, and , Louis Beaugris Pablo Zafra Kikombo NGoy 5:20PM Graph2D: An Interactive Graphing Library using Kean University (1056-Z1-875)  (1901) the HTML Canvas. 4:45PM Riverbend Community Math Center – Promoting R. Alexander Milowski, San Francisco, CA  (1886) mathematical thinking in local elementary and (1056-K1-1499) middle schools. Preliminary report. Amanda Katharine Serenevy,Riverbend Community Math Center (1056-Z1-989) 5:00PM Reversing the Pattern of Low Performance in (1887) College Algebra Using the National Center for MAA Session on Research on the Teaching and Academic Transformations’ Roadmap Model. Learning of Undergraduate Mathematics, II A. Dale Magoun*, A. Serpil Saydam and Charlotte H. Owens, University of Louisiana at Monroe 1:00 PM –4:55PM (1056-Z1-833) Organizers: Keith Weber,RutgersUniversity Stacy Brown, Pitzer College Natasha A. Speer, University of Maine MAA Session on Mathlets for Teaching and Learning Karen A. Marrongelle, Portland State Mathematics University 1:00PM 1:00 PM –5:35PM Early Eigen Thinking: Students’ Interpretations of  (1902) the Matrix Equation Ax=2x. Organizers: Joe Yanik, Emporia State University Christine Larson*, Indiana University, Michelle , Arizona State University, Thomas E. Leathrum, Jacksonville Zandieh Chris State University Rasmussen and Frances Henderson,SanDiego State University (1056-P5-1366) David M. Strong, Pepperdine University 1:40PM Investigating Student Conceptions of Function  (1903) Composition. Preliminary report. 1:00PM Mathlets for Visualizing the Geometry of Numbers. Stacey A. Bowling, Arizona State University  (1888) Karl-Dieter Crisman, Gordon College (1056-P5-1101) (1056-K1-1741) 2:00PM How beginning teachers understand student 1:20PM Number Lab: Experiencing Numbers. (1904) Preliminary report.  (1889) , Napa CA (1056-K1-302) thinking in calculus. David B Posner Thomas W Judson*, Stephen F. Austin State 1:40PM National Curve Bank. University, and Matthew Leingang,NewYork (1890) Shirley B. Gray, California State University, Los University (1056-P5-680) Angeles (1056-K1-119) 2:20PM The Role of Angle Measure and the Radius as a 2:00PM Retrieving old mathematics with new technology.  (1905) Unit of Measurement in Developing Coherent  (1891) Susan L. Addington, California State University, Understandings of Trigonometric Functions. San Bernardino (1056-K1-1810) Kevin C. Moore, Arizona State University 2:20PM Linear programming with mathlets. (1056-P5-671)  (1892) H. Smith Risser, Montana Tech (1056-K1-189) 2:40PM Parameter or variable or unknown? The special 2:40PM A Picture is Worth a Thousand Words in Geogebra.  (1906) case of the definite integral. Preliminary report. (1893) Joanne C Caniglia, Kent State University May F Hamdan, Lebanese American University (1056-K1-150) (1056-P5-446) 3:00PM Multivariable Calculus Java Applets with Blaise. 3:00PM Students’ Understandings of Equivalence Relations.  (1894) Preliminary report.  (1907) Jim Brandt, Southern Utah University Elisha Peterson, United States Military Academy (1056-P5-1956) (West Point) (1056-K1-1272) 3:20PM Learning the phase plane: How two students’ 3:20PM Geometric Constructions as Interactive Java Applets  (1908) understandings of time and rate affected their  (1895) with Feedback Feature. learning of exponential functions. Tibor Marcinek, Central Michigan University Carlos W Castillo-Garsow, Arizona State University (1056-K1-1474) (1056-P5-1568) 3:40PM Dynamic Visualization Tools for Multivariable 3:40PM The Role of Homework in Developing Students’  (1896) Calculus. Preliminary report.  (1909) Mathematical Conceptions. Preliminary report. Paul E Seeburger, Monroe Community College Eric D Weber*andMarilyn P Carlson,Arizona (1056-K1-907) State University (1056-P5-303)

194 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

4:00PM Enhancing Undergraduate Students’ Views 4:40PM Projective Geometry as a Vehicle for Schooling the  (1910) and Experiences of Learning Mathematics in  (1924) Imagination, I. Inquiry-Based Learning Contexts. Martin Levin, Silver Spring, MD (1056-R5-1090) *, and Marja-Liisa Hassi Sandra Laursen 5:00PM Projective Geometry as a Vehicle for Schooling the , Ethnography & Evaluation Anne-Barrie Hunter (1925) Imagination II. Research, University of Colorado at Boulder Martin Levin, Silver Spring, MD (1056-R5-1589) (1056-P5-1694) 4:20PM Researching the Integration of Mathematical and (1911) Educational Perspectives in Mathematics Teacher Preparation. Preliminary report. Rebecca H McGraw*andPriya Prasad,University of Arizona (1056-P5-1692) 4:40PM A Theoretical Framework for Designing Professional SIAM Minisymposium on New Trends in Mathematical  (1912) Development Workshops for Mathematics Faculty. Methods in Imaging Science Stan T Yoshinobu, California State Polytechnic University, San Luis Obispo (1056-P5-622) 1:00 PM –5:50PM

Organizers: Rick Chartrand, Los Alamos National Laboratory MAA Session on Visualization in Mathematics, II Stacey E. Levine, Duquesne University 1:00 PM –5:15PM Jennifer L. Mueller, Colorado State University Organizers: Sarah J. Greenwald, Appalachian State University Luminita A. Vese,Universityof California Los Angeles Walter Whiteley,YorkUniversity 1:00PM Nonconvex compressive sensing: getting the most 1:00PM to Explore Elementary Probability.  (1926)  (1913) Preliminary report. from very little information. , Los Alamos National Laboratory , Alverno College, and Rick Chartrand James D. Factor Edmond J. (1056-90-1078) Nadler*, Eastern Michigan University (1056-R5-2027) 1:30PM This is SPIRAL¨ TAP: Sparse Poisson intensity (1927) reconstruction algorithms (theory and practice). 1:20PM Visualization via Excel in Mentoring Mathematics  (1914) Zachary T. Harmany, Duke University, Roummel F. Faculty of a Developing Nation. *, University of California, Merced, and Deane E. Arganbright, Divine Word University, Marcia Madang, Papua New Guinea (1056-R5-362) Rebecca M. Willett, Duke University (1056-68-662) 2:00PM 1:40PM Using Computer Graphics as an Aid to Visualizing Locally Adaptive Kernel Regression: A (1928)  (1915) Functions of a Complex Variable. Non-parametric Framework for Multidimensional Laurene V. Fausett, TAMU-Commerce Signal Processing and Analysis. (1056-R5-252) Hiroyuki Takeda, Hae Jong Seo and Peyman Milanfar*, University of California, Santa Cruz 2:00PM Efficient Graph Visualization for Applications: (1056-62-1599) (1916) Databases, Data Mining, and Video Games. Charles Andrew Tannouri,TowsonUniversity 2:30PM Hyperspectral Image Classification by Matching (1056-R5-1978) (1929) Node Connectivities. Naoki Saito*, University of California, Davis, and 2:20PM Confluent Graphs: Making Graphs Pretty. Linh Lieu, New York, NY (1056-62-1209)  (1917) Talitha M Washington, University of Evansville (1056-R5-1614) 3:00PM Comparisons of reconstruction methods in  (1930) electrical impedance tomography on a 2:40PM Pedagogical Understanding of Non-Textual Elements (1918) in Mathematics Textbooks among Teachers and mammography geometry. Preliminary report. Ethan K Murphy*, David Isaacson, Gary Saulnier Curriculum Developers. and , Rensselaer Polytechnic Institute Rae Young Kim*andSharon Senk, Michigan State Jon Newell University (1056-R5-2045) (1056-65-1216) 3:30PM 3:00PM in Abstract Algebra: How are Diagrams Local stability in a minimization problem for (1931)  (1919) used in the Proving Process? Preliminary report. conductivity imaging. *and , Nissa Yestness, University of Northern Colorado M. Zuhair Nashed Alexandru Tamasan (1056-R5-2072) University of Central Florida (1056-49-1684) 4:00PM Preliminary 3:20PM Visualization Lessons from Visual Group Theory. Total Variation and Cheeger Ratio Cuts. (1920) Nathan Carter, Bentley University (1056-R5-1812) (1932) report. Arthur D Szlam*, Courant Institute and UCLA math, 3:40PM Visualizing the polyhedral geometry of algebraic and Xavier Bresson, UCLA math (1056-49-1013)  (1921) systems. Marshall Hampton, University of Minnesota Duluth 4:30PM Variational methods for data fusion, segmentation, (1056-R5-290)  (1933) deblurring, and image inpainting. Andrea Bertozzi, UCLA (1056-49-695) 4:00PM Visualization for the Simulation of the Chemical (1922) Vapor and Infiltration Process. 5:00PM Novel Integro-differential equations in image Joyati Debnath*, Winona State University, Winona, (1934) processing and its applications. MN, Srabasti Dutta, College of Saint Elizabeth, Eitan Tadmor, University of Maryland, College and Andrew Jones, Florida A&M University Park, and Prashant Athavale*, University of (1056-R5-657) California, Los Angeles (1056-49-1717) 4:20PM Educational Applications of Projective Geometry. 5:30PM Multiscale Flat Norm Shape Signatures.  (1923) Preliminary report.  (1935) Kevin R. Vixie, Washington State University David Booth, Austin Texas (1056-R5-1064) (1056-28-1677)

JANUARY 2010 NOTICES OF THE AMS 195 Program of the Sessions – Saturday, January 16 (cont’d.)

MAA Committee on Technology in Mathematics 3:15PM Cyclic Base change and Rankin-Selberg Education Panel Discussion (1943) Convolutions. Timothy Lee Gillespie,UniversityofIowa 1:00 PM –3:55PM (1056-11-1871) 3:30PM Technology in teaching mathematics: History and Gauss’ Method for determining cyclotomic numbers. (1944) Ciar´an Mac an Bhaird*andPat McCarthy,National current practices. (There will be a 15-minute break University of Ireland Maynooth (1056-11-2118) halfway through this discussion) 3:45PM Organizers: Marilyn A. Reba, Clemson University Supersingular distribution on average for (1945) congruence classes of primes. , Georgia College & Lila F. Roberts Nahid Walji, California Institute of Technology State University (1056-11-1936) 4:00PM Green-Tao theorem in function fields. SIGMAA on Math Circles for Students and Teachers, (1946) Thai Hoang Le, UCLA (1056-11-1906) Part II 4:15PM An asymptotic formula for Goldbach’s conjecture  (1947) with monic polynomials. 1:00 PM –5:00PM Mark Kozek, Whittier College (1056-11-1900) Fostering, supporting, and propogating Math Circles. ASL Invited Address Organizers: James S. Tanton,St.Mark’sInstitute of Mathematics 2:00 PM –2:50PM , San Jose State Tatiana Shubin (1948) University and non-archimedean tame topology, with a view towards Berkovich spaces. Francois Loeser, Ecole Normale Superieure AWM Workshop Panel Discussion (1056-03-76)

1:00 PM –2:00PM MAA-Project NExT Panel Discussion Career opportunities: The early years. Moderator: Rachelle C. Decoste, Wheaton College 2:00 PM –3:15PM Panelists: ,LawrenceBerkeley Ann Almgren Organizing and running an effective National Lab seminar/capstone course for mathematics majors. ,Universityof Maura B. Mast Organizers: Karrolyne Fogel, California Lutheran Massachusetts-Boston University , College of the Sharon M. Frechette Russell Goodman, Central College Holy Cross Thomas Langley,Rose-Hulman Ulrica Y. Wilson, Morehouse College Institute of Technology Panelists: Mariah Birgen, Wartburg College AMS Session on Number Theory, IV Lipika Deka, California State University-Monterey Bay 1:15 PM –4:25PM Nezam Iraniparast, Western Kentucky 1:15PM On the Density of Abundant Numbers. Preliminary University  (1936) report. Brian Miceli, Trinity University Mitsuo Kobayashi, Dartmouth College (1056-11-1527) 1:30PM On the parity of k-th powers mod p. AMS Session on Algebras, II (1937) Jennifer Paulhus*, Todd Cochrane and Christopher Pinner, Kansas State University 2:30 PM –3:40PM (1056-11-1554) 2:30PM “Separating the Degree Spectra of Structures” and 1:45PM The Constant Terms of Eisenstein Series on Loop (1949) Beyond: An Overview of My Dissertation in (1938) Groups over a Function Field. Computable Model Theory with Some New Kyu-Hwan Lee and Philip J Lombardo*, University Extensions. of Connecticut (1056-11-1556) Tyler J Markkanen, Saint Mary-of-the-Woods 2:00PM Ramanujan-type congruences in partition-theoretic College (1056-03-1592) (1939) counting functions. 2:45PM Model Theory of Stable Groups. Michael Patrick Dewar, University of Illinois at (1950) Paul Baginski,Universit´e Lyon 1 (1056-03-1682) Urbana-Champaign (1056-11-1557) 3:00PM Continuous Control in Exact Non-Split Categories. 2:15PM Break (1951) Preliminary report. 2:30PM Monogenity in cyclotomic fields. Timothy K Lance, Francis Marion University (1940) Leanne Robertson, Seattle University (1056-19-647) (1056-11-1735) 3:15PM Motivic symmetric ring spectrum representing 2:45PM An elementary approach to proving and discovering (1952) algebraic K-theory. (1941) BBP-type formulas. Youngsoo Kim, University of Illinois at John R. Greene*andMelissa Larson,Universityof Urbana-Champaign (1056-19-1069) Minnesota Duluth (1056-11-1738) 3:30PM Simply Un-Real: Grassmann hypercomplex 3:00PM Values of Asai L-functions and combinatorial  (1953) numbers, geometric algebra, and the (past and) (1942) identities. Preliminary report. future of “vector” calculus. Preliminary report. Dominic Lanphier, Western Kentucky University Debra A. Warne*andPaul G. Warne,James (1056-11-1864) Madison University (1056-08-1553)

196 NOTICES OF THE AMS VOLUME 57, NUMBER 1 Saturday, January 16 – Program of the Sessions

AWM Workshop: Research Presentations by Recent AMS Banquet Reception Ph.D.s, II 6:30 PM –7:30PM 2:30 PM –4:20PM AMS Banquet 2:30PM Interpolation on Rational Surfaces. (1954) , University of Michigan Amanda Knecht 7:30 PM – 10:00 PM (1056-14-152) 3:00PM Killing Forms of Isotropic Lie Algebras. Matthew Miller Gerard A. Venema (1955) Audrey Malagon, Mercer University (1056-17-181) AMS Associate Secretary MAA Associate Secretary 3:30PM The mixed boundary value problem in Lipschitz Columbia, South Carolina Grand Rapids, Michigan (1956) domains. Katharine A. Ott*andRussell Brown,Universityof Kentucky (1056-35-744) 4:00PM K3 surfaces with discrete symmetry groups. (1957) Ursula Anne Whitcher, Harvey Mudd College (1056-14-201)

AMS-MAA-SIAM Gerald and Judith Porter Public Lecture

3:00 PM –4:45PM  (1958) The calculus of friendship. Steven Strogatz, Cornell University (1056-00-40) 4:00PM Reception: Please come to greet and chat with the speaker. Light refreshments will be served.

ASL Contributed Papers, II

3:10 PM –5:20PM

3:10PM A simple epsilon substitution method for ID1. (1959) Grigori Mints, Stanford University 3:35PM Trees, sheaves and definition by recursion. (1960) Nate Ackerman, University of California, Berkeley 4:00PM A bimodal deontic evidential logic for the right to (1961) prove truths. Billy Joe Lucas, Manhattanville College 4:35PM Characterizations of stable and NIP theories by (1962) generalized indiscernible sequences. Lynn Scow, University of California, Berkeley 5:00PM Expansion of Presburger√ Arithmetic with a (1963) predicate for  2x. Demirhan Tunc, University of Notre Dame

MAA Minicourse #2: Part B

3:30 PM –5:30PM Using GeoGebra to create activities and applets for visualization and exploration. Organizer: Michael K. May, Saint Louis University

MAA Minicourse #9: Part B

3:30 PM –5:30PM Getting students involved in undergraduate research. Organizers: Aparna W. Higgins,Universityof Dayton Joseph A. Gallian,Universityof Minnesota Duluth

Reception in Honor of Retiring MAA Secretary Martha Siegel

5:00 PM –6:15PM

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Associate Secretaries of the AMS Eastern Section: Steven H. Weintraub, Department of Math- Western Section: Michel L. Lapidus, Department of Math- ematics, Lehigh University, Bethlehem, PA 18105-3174; e-mail: ematics, University of California, Surge Bldg., Riverside, CA [email protected]; telephone: 610-758-3717. 92521-0135; e-mail: [email protected]; telephone: Southeastern Section: Matthew Miller, Department of Math- 951-827-5910. ematics, University of South Carolina, Columbia, SC 29208-0001, Central Section: Susan J. Friedlander, Department of Math- e-mail: [email protected]; telephone: 803-777-3690. ematics, University of Illinois at Chicago, 851 S. Morgan (M/C 2009 Seoul, Korea Meeting: Georgia Benkart, University of 249), Chicago, IL 60607-7045; e-mail: [email protected]; Wisconsin-Madison, Department of Mathematics, 480 Lincoln telephone: 312-996-3041. Georgia Benkart (after January 31, Drive, Madison, WI 53706-1388; e-mail: [email protected]. 2010), University of Wisconsin-Madison, Department of Math- edu; telephone: 608-263-4283. ematics, 480 Lincoln Drive, Madison, WI 53706-1388; e-mail: [email protected]; telephone: 608-263-4283.

The Meetings and Conferences section of the Notices October 22–23 Salt Lake City, Utah p. 104 gives information on all AMS meetings and conferences 2012 approved by press time for this issue. Please refer to the page January 4–7 Boston, Massachusetts p. 104 numbers cited in the table of contents on this page for more Annual Meeting detailed information on each event. Invited Speakers and 2013 Special Sessions are listed as soon as they are approved by the January 9–12 San Diego, California p. 104 cognizant program committee; the codes listed are needed for electronic abstract submission. For some meetings the list may Annual Meeting be incomplete. Information in this issue may be dated. Up-to- 2014 date meeting and conference information can be found at www. January 15–18 Baltimore, Maryland p. 104 ams.org/meetings/. Annual Meeting 2015 Meetings: January 10–13 San Antonio, Texas p. 105 2009 Annual Meeting December 16–20 Seoul, Korea p. 93 2016 January 6–9 Seattle, Washington p. 105 2010 Annual Meeting January 13–16 San Francisco, California p. 94 2016 Annual Meeting January 4–7 Atlanta, Georgia p. 105 March 27–28 Lexington, Kentucky p. 95 Annual Meeting April 10–11 St. Paul, Minnesota p. 98 Important Information Regarding AMS Meetings April 17–18 Albuquerque, New Mexico p. 99 Potential organizers, speakers, and hosts should refer to May 22–23 Newark, New Jersey p. 100 page 92 in this issue of the Notices for general informa- June 2–5 Berkeley, California p. 100 tion regarding participation in AMS meetings and October 2–3 Syracuse, New York p. 101 conferences. October 9–10 Los Angeles, California p. 101 Abstracts October 29–31 Notre Dame, Indiana p. 102 Speakers should submit abstracts on the easy-to-use interac- November 6–7 Richmond, Virginia p. 102 tive Web form. No knowledge of is necessary to submit December 15–18 Pucon, Chile p. 102 an electronic form, although those who use may submit abstracts with such coding, and all math displays and simi- 2011 larily coded material (such as accent marks in text) must January 5–8 New Orleans, Louisiana p. 103 be typeset in . Visit http://www.ams.org/cgi-bin/ Annual Meeting abstracts/abstract.pl. Questions about abstracts may be March 12–13 Statesboro, Georgia p. 103 sent to [email protected]. Close attention should be paid to March 18–20 Iowa City, Iowa p. 103 specified deadlines in this issue. Unfortunately, late abstracts April 9–10 Worcester, Massachusetts p. 103 cannot be accommodated. April 30–May 1 Las Vegas, Nevada p. 103 Conferences: (see http://www.ams.org/meetings/ for the most up-to-date information on these conferences.) Co-sponsored conferences: February 18–22, 2010: AAAS Meeting in San Diego, CA (please see www.aaas.org/meetings for more information). March 18-21, 2010: First International Conference on Mathematics and Statistics, AUS-ICMS ’10, American University of Sharjah, Sharjah, United Arab Emirates (please see http://www.aus.edu/conferences/icms10/ for more information). May 24-29, 2010: From Carthage to the World, the Isoperimetric Problem of Queen Dido and its Mathematics Ramifi ca- tions, Carthage, Tunisia (for more information please see http://math.arizona.edu/~dido/welcome.html). June 17-19, 2010: Coimbra Meeting on 0-1 Matrix Theory and Related Topics, University of Coimbra, Portugal (for more information please see http://www.mat.uc.pt/~cmf/01MatrixTheory).

JANUARY 2010 NOTICES OF THE AMS 199 ALL DISPLAY TITLES 20% OFF! Check out some of the titles Cambridge will have on display at the 2010 JMM!

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For the full list of Titles on Display at the 2010 Joint Mathematics Meetings, please visit: www.cambridge.org/us/ME10JMM or visit us at Booth #408! All Titles are 20% Off with Promo Code: ME10JMM

XXXDBNCSJEHFPSHVTNBUIFNBUJDTt INSTITUTE FOR PURE AND APPLIED MATHEMATICS Los Angeles, California MODERN TRENDS IN OPTIMIZATION AND ITS APPLICATION September 13 – December 17, 2010

ORGANIZING COMMITTEE: Stephen Boyd (Stanford), Emmanuel Candes (Caltech), Masakazu Kojima (Tokyo Inst Tech), Monique Laurent (CWI), Arkadi Nemirovski (Georgia Tech), Yurii Nesterov (Université Catholique de Louvain), Bernd Sturmfels (UC Berkeley), Michael Todd (Cornell), Lieven Vandenberghe (UCLA) Scientific Overview Today, fundamental advances in mathematical optimization occur at a furious pace. In recent years, spectacular progress has been made in our understanding of convex optimization problems whose expressive power make them suitable for a wide spectrum of important applications. We have also learned how to approximate combinatorially hard optimization problems by simpler convex problems, which are tractable and provide accurate solutions. Further, robust optimization offers new techniques for preventing solutions to be too sensitive to noise or model errors. Finally, recent remarkable advances in algorithms have made possible solving optimization problems involving tens of thousands of variables and/or constraints---even tens of millions in some instances---in reasonable time. These and other fundamental developments, along with progress in high-quality software, have expanded the scale and complexity of optimization problems that can be addressed in practice, and are leading to a wider adoption of optimization techniques throughout many fields in science and engineering. Centered around five workshops, the goal of this program is to bring together scientists from many different backgrounds to develop and exchange ideas about modern optimization which can be influenced by, and influence in turn, progress in engineering and science. Workshop Schedule • Optimization Tutorials: September 14 – 17, 2010 • Workshop 1: Convex Optimization and Algebraic Geometry, September 28 – October 1, 2010 • Workshop 2: Numerical Methods for Continuous Optimization, October 11 – 15, 2010 • Workshop 3: Discrete Optimization, October 26 – 29, 2010 • Workshop 4: Robust Optimization, November 16 – 19, 2010 • Workshop 5: Applications of Optimization in Science and Engineering, November 29 – December 3, 2010 • Culminating Workshop at Lake Arrowhead Conference Center, December 12 – 17, 2010 Participation This long program will involve a community of senior and junior researchers. The intent is for participants to have an opportunity to learn about Optimization, and to meet a diverse group of people and have an opportunity to form new collaborations. Full and partial support for long-term participants is available. We are especially interested in applicants who intend to participate in the entire program (September 13 – December 17, 2010), but will consider applications for shorter periods. Funding is available for participants at all academic levels, though recent PhDs, graduate students, and researchers in the early stages of their careers are especially encouraged to apply. Encouraging the careers of women and minority mathematicians and scientists is an important component of IPAM's mission and we welcome their applications. More information and an application is available online. www.ipam.ucla.edu/programs/op2010

IPAM is an NSF funded institute ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Mathematics Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and professors, these texts make ideal independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications

John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch

NEW

Graduate Studies Graduate Studies in Mathematics in Mathematics Volume 109 Manifolds and Differential Geometry Volume 112

ocietty American Mathematical Society Jeffrey M. Lee, Texas Tech University, Lubbock, American Mathematical Society TX Volume 107; 2009; 671 pages; Hardcover; ISBN: 978-0-8218- 4815-9; List US$89; AMS members US$71; Order code GSM/107 Differential Algebraic Topology From Stratifolds to Exotic Spheres Mapping Degree Theory Matthias Kreck, Hausdorff Research Institute for Enrique Outerelo and Jesús M. Ruiz, Mathematics, Bonn, Germany Universidad Complutense de Madrid, Spain Volume 110; 2010; approximately 215 pages; Hardcover; A co-publication of the AMS and Real Sociedad Matemática ISBN: 978-0-8218-4898-2; List US$55; AMS members US$44; Española (RSME). Order code GSM/110 Volume 108; 2009; 244 pages; Hardcover; ISBN: 978-0-8218- 4915-6; List US$62; AMS members US$50; Ricci Flow and the Sphere Theorem The Art of Order code GSM/108 Simon Brendle, Stanford University, CA Mathematics Volume 111; 2010; 176 pages; Hardcover; ISBN: 978-0-8218- page 8 Training Manual on Transport 4938-5; List US$47; AMS members US$38; and Fluids Order code GSM/111 John C. Neu, University of California, Berkeley, The Life and Survival CA Optimal Control of Partial of Mathematical Volume 109; 2010; 265 pages; Hardcover; ISBN: 978-0-8218- Differential Equations Ideas 4083-2; List US$59; AMS members US$47; Theory, Methods and Applications Order code GSM/109 page 10 Fredi Tröltzsch, Technische Universität Berlin, Germany Envisioning the 2010 Translated by Jürgen Sprekels Volume 57, Number 1, Pages 1–200, January 2010 San Francisco, CA January 13–16, 2010 Volume 112; 2010; approximately 408 pages; Hardcover; Invisible Visit the AMS Book ISBN: 978-0-8218-4904-0; List US$69; AMS members US$55; page 24 Exhibit at JMM 2010: Order code GSM/112 • UUp tto 25% off all AMS books Music: Broken • Free Shipping and Handling Symmetry, • No California Sales Tax* *The AMS will pay your California sales tax on all on-site AMS purchases Geometry, and Complexity page 30 TEXTBOOKS FROM THE AMS Lexington Meeting www.ams.org/bookstore www.ams.org/bookstore page 95

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