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CONTENTS AMS Textbooks Find the right textbook for your 3 Algebra and Algebraic Geometry course! e AMS publishes many 4 Analysis high-quality books for use in the classroom. To view a comprehensive 6 Differential Equations list of our textbook titles, please visit: 7 Discrete Mathematics and Combinatorics ams.org/bookstore/textbooks 8 General Interest 8 Geometry and Topology Applied 10 Mathematical Physics Mathematics 10 Number Theory e AMS is proud to off er a broad 11 Probability and Statistics and fl ourishing selection of applied and interdisciplinary mathematics 12 Contemporary Mathematics Series titles. Books in this program 13 Memoirs of the AMS white --> strengthen the connections between mathematics and other disciplines, 14 AMS-Distributed Publications highlighting the areas in which 16 Index mathematics is most relevant. To view all of our applied mathematics 18 Ordering Information publications, please visit: ams.org/bookstore/appliedmath

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Mathematical Surveys and Monographs Graphs Geometry Volume 186 Introduction to Gregory Berkolaiko and Peter Quantum Graphs Dualities and Kuchment, Texas A&M University, Dualities and Gregory Berkolaiko College Station, TX Representations of Representations of Lie Peter Kuchment Lie Superalgebras Superalgebras A “quantum graph” is a graph considered as Shun-Jen Cheng a one-dimensional complex and equipped

Weiqiang Wang American Mathematical Society Shun-Jen Cheng, Academia Sinica, with a differential operator (“Hamiltonian”).

Graduate Studies in Mathematics Taipei, Taiwan, and , Quantum graphs arise naturally as simpli- Volume 144 Weiqiang Wang fied models in mathematics, physics, chemistry, and American Mathematical Society University of Virginia, Charlottesville, VA engineering when one considers propagation of waves of various nature through a quasi-one-dimensional This book gives a systematic account of the structure and (e.g., “meso-” or “nano-scale”) system that looks like a representation theory of finite-dimensional complex Lie super- thin neighborhood of a graph. Works that currently algebras of classical type and serves as a good introduction to would be classified as discussing quantum graphs have representation theory of Lie superalgebras. Several folklore been appearing since at least the 1930s, and since then, results are rigorously proved (and occasionally corrected in quantum graphs techniques have been applied successfully detail), sometimes with new proofs. Three important dualities in various areas of mathematical physics, mathematics are presented in the book, with the unifying theme of deter- in general and its applications. One can mention, for mining irreducible characters of Lie superalgebras. instance, dynamical systems theory, control theory, READERSHIP: Graduate students and research mathemati- quantum chaos, Anderson localization, microelectronics, cians photonic crystals, physical chemistry, nano-sciences, Graduate Studies in Mathematics, Volume 144 superconductivity theory, etc. 2012; 302 pp.; hardcover; ISBN: 978-0-8218-9118-6; List US$64; AMS Quantum graphs present many non-trivial mathematical members US$51.20; Order code: GSM/144 challenges, which makes them dear to a mathematician’s heart. Work on quantum graphs has brought together Formal Groups and tools and intuition coming from graph theory, combina- torics, mathematical physics, PDEs, and spectral theory. Formal Groups and Applications Applications This book provides a comprehensive introduction to the

Michiel Hazewinkel Michiel Hazewinkel topic, collecting the main notions and techniques. It also This book is a comprehensive treatment contains a survey of the current state of quantum graph of the theory of formal groups and its research and applications. AMS CHELSEA PUBLISHING American Mathematical Society • Providence, Rhode Island numerous applications in several areas of READERSHIP: Graduate students and research mathe- mathematics. The seven chapters of the maticians book present basics and main results of Mathematical Surveys and Monographs, Volume 186 the theory, as well as very important applications in alge- 2013; 270 pp.; hardcover; ISBN: 978-0-8218-9211-4; List US$86; braic topology, number theory, and algebraic geometry. Each AMS members US$68.80; Order code: SURV/186 chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introduc- tory graduate algebra course, including certain familiarity with Conference Board of the Mathematical Sciences CBMS Deformation Theory category theory. Regional Conference Series in Mathematics Number 116 of Algebras and Their READERSHIP: Graduate students and research mathemati- Deformation Theory Diagrams of Algebras cians and Their Diagrams AMS Chelsea Publishing, Volume 375 Martin Markl Martin Markl, Academy of Sciences 2012; 573 pp.; hardcover; ISBN: 978-0-8218-5349-8; List US$72; AMS of the Czech Republic, Praha, Czech members US$64.80; Order code: CHEL/375.H American Mathematical Society with support from the Republic National Science Foundation A self-contained presentation of both the classical and current aspects of deforma- tion theory. Get the content you want, READERSHIP: Graduate students and research mathemati- electronically. cians The AMS o ers over 2,500 pure A co-publication of the AMS and CBMS. and applied mathematics titles CBMS Regional Conference Series in Mathematics, Number 116 in eBook form via Google Play. 2012; 129 pp.; softcover; ISBN: 978-0-8218-8979-4; List US$35; AMS Start reading today at: members US$28; All Individuals US$28; Order code: CBMS/116 play.google.com/store

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Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada) Topics in The book is self-contained and only relies on a back- ground in functions of a single variable and the elements Noncommutative of metric spaces. Following the author’s belief that the Geometry best way to learn is to start with the particular and proceed to the more general, it contains numerous exam- Guillermo Cortiñas, Universidad de ples and exercises. Buenos Aires, Argentina, Editor READERSHIP: Undergraduate and graduate students Topics in this volume concern noncom- Graduate Studies in Mathematics, Volume 141 mutative geometry in a broad sense, encompassing various mathematical and physical theories that 2012; 367 pp.; hardcover; ISBN: 978-0-8218-9083-7; List US$75; AMS members US$60; Order code: GSM/141 incorporate geometric ideas into the study of noncommutative phenomena. READERSHIP: Graduate students and research mathema- ticians Higher Order Fourier Titles in this series are co-published with the Clay Mathematics Higher Order Analysis Institute (Cambridge, MA). Fourier Analysis

Clay Mathematics Proceedings, Volume 16 Terence Tao Terence Tao, University of California, 2012; 276 pp.; softcover; ISBN: 978-0-8218-6864-5; List US$79; AMS Los Angeles, CA

Graduate Studies members US$63.20; Order code: CMIP/16 in Mathematics Volume 142 Traditional Fourier analysis, which

American Mathematical Society has been remarkably effective in many contexts, uses linear phase functions to Proceedings of Symposia in Recent Developments in study functions. Some questions, such as P URE M ATHEMATICS problems involving arithmetic progressions, naturally Volume 86 Lie Algebras, Groups and lead to the use of quadratic or higher order phases. Higher Recent Developments in Lie Algebras, Groups Representation Theory order Fourier analysis is a subject that has become very and Representation Theory active only recently. Gowers, in groundbreaking work, Kailash C. Misra Daniel K. Nakano Kailash C. Misra, North Carolina State developed many of the basic concepts of this theory in Brian J. Parshall Editors University, Raleigh, NC, Daniel K. order to give a new, quantitative proof of Szemerédi’s , University of Georgia, Athens, theorem on arithmetic progressions. However, there are American Mathematical Society Nakano GA, and Brian J. Parshall, University also precursors to this theory in Weyl’s classical theory ofVirginia, Charlottesville, VA, Editors of equidistribution, as well as in Furstenberg’s structural theory of dynamical systems. Some of the articles in this volume, written by experts in the This book, which is the first monograph in this area, aims field, survey recent developments, while others include new to cover all of these topics in a unified manner, as well as results in Lie algebras, quantum groups, finite groups, and to survey some of the most recent developments, such as algebraic groups. the application of the theory to count linear patterns in READERSHIP: Graduate students and research mathema- primes. The book serves as an introduction to the field, ticians giving the beginning graduate student in the subject a Proceedings of Symposia in Pure Mathematics, Volume 86 high-level overview of the field. The text focuses on 2012; 310 pp.; hardcover; ISBN: 978-0-8218-6917-8; List US$80; AMS the simplest illustrative examples of key results, serving members US$64; Order code: PSPUM/86 as a companion to the existing literature on the subject. There are numerous exercises with which to test one’s Analysis knowledge. READERSHIP: Graduate students and research math- ematicians A Course in Abstract Graduate Studies in Mathematics, Volume 142 2012; 187 pp.; hardcover; ISBN: 978-0-8218-8986-2; List Analysis US$54; AMS members US$43.20; Order code: GSM/142 A Course in Abstract Analysis John B. Conway, George Washington University, DC John B. Conway Lecture Notes on This book covers topics appropriate for

Graduate Studies in Mathematics a first-year graduate course preparing Functional Analysis Volume 141 Lecture Notes on students for the doctorate degree. The Functional Analysis American Mathematical Society first half of the book presents the core of With Applications to With Applications to Linear Linear Partial Differential measure theory, including an introduction Equations Partial Differential Equations to the Fourier transform. This material can easily be Alberto Bressan covered in a semester. The second half of the book treats Graduate Studies Alberto Bressan, Pennsylvania State in Mathematics basic functional analysis and can also be covered in a Volume 143 University, University Park, PA semester. After the basics, it discusses linear transfor- American Mathematical Society mations, duality, the elements of Banach algebras, and This textbook is addressed to graduate C*-algebras. It concludes with a characterization of the students in mathematics or other disci- unitary equivalence classes of normal operators on a Hilbert space. 4

Order Online | ams.org/bookstore plines who wish to understand the essential concepts of func- analysis introduces the depth and rigor characteristic of tional analysis and their applications to partial differential higher mathematics courses. Foundations of Analysis has equations. two main goals. The first is to develop in students the The book is intentionally concise, presenting all the funda- mathematical maturity and sophistication they will need mental concepts and results but omitting the more specialized as they move through the upper division curriculum. The topics. Enough of the theory of Sobolev spaces and semi- second is to present a rigorous development of both single groups of linear operators is included as needed to develop and several variable calculus, beginning with a study of significant applications to elliptic, parabolic, and hyperbolic the properties of the real number system. PDEs. Throughout the book, care has been taken to explain The presentation is both thorough and concise, with the connections between theorems in functional analysis and simple, straightforward explanations. The exercises differ familiar results of finite-dimensional linear algebra. widely in level of abstraction and level of difficulty. They The main concepts and ideas used in the proofs are illustrated vary from the simple to the quite difficult and from the with a large number of figures. A rich collection of homework computational to the theoretical. Each section contains a problems is included at the end of most chapters. The book is number of examples designed to illustrate the material in the section and to teach students how to approach the suitable as a text for a one-semester graduate course. exercises for that section. READERSHIP: Graduate students The list of topics covered is rather standard, although the Graduate Studies in Mathematics, Volume 143 treatment of some of them is not. The several variable 2013; 250 pp.; hardcover; ISBN: 978-0-8218-8771-4; List US$64; AMS material makes full use of the power of linear algebra, members US$51.20; Order code: GSM/143 particularly in the treatment of the differential of a func- tion as the best affine approximation to the function at a given point. The text includes a review of several linear Foundations of Analysis algebra topics in preparation for this material. In the Joseph L. Taylor, University of Utah, final chapter, vector calculus is presented from a modern Salt Lake City, UT point of view, using differential forms to give a unified treatment of the major theorems relating derivatives and Foundations of Analysis is an excellent integrals: Green’s, Gauss’s, and Stokes’s Theorems. new text for undergraduate students in real analysis. More than other texts in the At appropriate points, abstract metric spaces, topological subject, it is clear, concise and to the point, spaces, inner product spaces, and normed linear spaces without extra bells and whistles. It also has are introduced, but only as asides. That is, the course is many good exercises that help illustrate the grounded in the concrete world of Euclidean space, but material. My students were very satisfied the students are made aware that there are more exotic with it. worlds in which the concepts they are learning may be —Nat Smale, University of Utah studied. I have taught our Foundations of Analysis course (based on READERSHIP: Undergraduate students Joe Taylor's book) several times recently, and have enjoyed Pure and Applied Undergraduate Texts, Volume 18 doing so. The book is well-written, clear, and concise, and 2012; 398 pp.; hardcover; ISBN: 978-0-8218-8984-8; List US$74; supplies the students with very good introductory discus- AMS members US$59.20; Order code: AMSTEXT/18 sions of the various topics, correct and well-thought-out proofs, and appropriate, helpful examples. The end-of- Mathematical Surveys and Monographs The Ubiquitous Quasidisk chapter problems supplement the body of the text very Volume 184 well (and range nicely from simple exercises to really The Ubiquitous Frederick W. Gehring, and Kari Hag, challenging problems). Quasidisk Norwegian University of Science and —Robert Brooks, University of Utah Technology, Trondheim, Norway Frederick W. Gehring An excellent text for students whose future will include Kari Hag In clean, clear, and elegant expository contact with mathematical analysis, whatever their fashion, this authoritative text focuses

discipline might be. It is content-comprehensive and peda- American Mathematical Society on gathering the numerous proper- gogically sound. There are exercises adequate to guarantee ties and many different connections to thorough grounding in the basic facts, and problems to various topics in geometric function initiate thought and gain experience in proofs and counter- theory that quasidisks possess. Gehring (1925-2012) examples. Moreover, the text takes the reader near enough was a leading figure in the theory of quasiconformal to the frontier of analysis at the calculus level that the mappings for over fifty years, while coauthor Hag teacher can challenge the students with questions that are received her Ph.D. under Gehring’s direction and at the ragged edge of research for undergraduate students. worked with him on the present text for over a decade. I like it a lot. This book will be a valuable resource for current and future researchers in various branches of analysis and —Don Tucker, University of Utah geometry. My students appreciate the concise style of the book and READERSHIP: Graduate students and research math- the many helpful examples. ematicians —W.M. McGovern, University of Washington Mathematical Surveys and Monographs, Volume 184 2012; 171 pp.; hardcover; ISBN: 978-0-8218-9086-8; List US$74; AMS Analysis plays a crucial role in the undergraduate curric- members US$59.20; Order code: SURV/184 ulum. Building upon the familiar notions of calculus, 5

Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada) Proceedings of Symposia in Spectral Geometry Furthermore, linear equations are considered, including P URE M ATHEMATICS the Floquet theorem, and some perturbation results. As Volume 84 Alex H. Barnett, Dartmouth College, somewhat independent topics, the Frobenius method for Spectral Geometry Hanover, NH, Carolyn S. Gordon, linear equations in the complex domain is established Alex H. Barnett Dartmouth College, NH, and Sturm–Liouville boundary value problems, including Carolyn S. Gordon Peter A. Perry oscillation theory, are investigated. Alejandro Uribe Peter A. Perry, University of Kentucky, Editors Lexington, KY, and Alejandro Uribe, The second part introduces the concept of a dynamical

American Mathematical Society University of Michigan, Ann Arbor, MI, system. The Poincaré–Bendixson theorem is proved, Editors and several examples of planar systems from classical mechanics, ecology, and electrical engineering are inves- A collection of research and expository articles that address tigated. Moreover, attractors, Hamiltonian systems, the the flurry of recent progress in such areas as quantum unique KAM theorem, and periodic solutions are discussed. ergodicity, isospectrality, semiclassical measures, the geometry Finally, stability is studied, including the stable manifold of nodal lines of eigenfunctions, methods of numerical compu- and the Hartman–Grobman theorem for both contin- tation, and spectra of quantum graphs. uous and discrete systems. READERSHIP: Graduate students and research mathema- The third part introduces chaos, beginning with the ticians basics for iterated interval maps and ending with the Proceedings of Symposia in Pure Mathematics, Volume 84 Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. 2012; 339 pp.; hardcover; ISBN: 978-0-8218-5319-1; List US$80; AMS members US$64; Order code: PSPUM/84 The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations. Volume 55 Complex Analysis and C CRM Graduate students R PROCEEDINGS & READERSHIP: M Potential Theory LECTURE NOTES Graduate Studies in Mathematics, Volume 140 Centre de Recherches Mathématiques Montréal

Complex Analysis André Boivin, University of Western 2012; 356 pp.; hardcover; ISBN: 978-0-8218-8328-0; List and Potential Theory Ontario, London, ON, Canada, and US$64; AMS members US$51.20; Order code: GSM/140 André Boivin Javad Mashreghi Editors Javad Mashreghi, Laval University, Québec, QC, Canada, Editors

American Mathematical Society The surveys and research articles An Introduction to contained in this volume are based on Dynamical Systems lectures given by some of the most established specialists in the fields and reflect the wide breadth of research interests of Continuous and Discrete, the two honorees for which the conference was held (Kohur N. Second Edition GowriSankaran and Paul M. Gauthier). R. Clark Robinson, Northwestern READERSHIP: Graduate students and research mathema- University, Evanston, IL ticians Titles in this series are co-published with the Centre de This book gives a mathematical treatment Recherches Mathématiques. of the introduction to qualitative differ- ential equations and discrete dynamical CRM Proceedings & Lecture Notes, Volume 55 systems. The treatment includes theoretical proofs, methods 329 pp.; softcover; ISBN: 978-0-8218-9173-5; List US$135; AMS members of calculation, and applications. The two parts of the book, US$108; Order code: CRMP/55 continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year-long course. Differential Equations In the second edition of the book, much of the material has been rewritten to clarify the presentation, and new material is Ordinary Differential included in both parts of the book. Equations and Dynamical READERSHIP: Undergraduate and graduate students Ordinary Differential Pure and Applied Undergraduate Texts, Volume 19 Equations and Systems Dynamical Systems 2012; 733 pp.; hardcover; ISBN: 978-0-8218-9135-3; List US$93; AMS members US$74.40; Order code: AMSTEXT/19 Gerald Teschl Gerald Teschl, University of Vienna, Austria

Graduate Studies in Mathematics Volume 140 This book provides a self-contained intro-

American Mathematical Society duction to ordinary differential equations and dynamical systems suitable for begin- ning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualita- tive methods. Then the fundamental results concerning the initial value problem are proved: existence, unique- ness, extensibility, dependence on initial conditions. 6

Order Online | ams.org/bookstore Mathematical Surveys and Monographs Maximum Principles Large Networks and Graph Volume 183

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Maximum Principles and Sharp Constants for Colloquium Publications Limits and Sharp Constants Volume 60 for Solutios of Elliptic and Solutions of Elliptic and Large Networks László Lovász, Eötvös Loránd Parabolic Systems and Graph Parabolic Systems Limits University, Budapest, Hungary Gershon Kresin Vladimir Maz'ya László Lovász Gershon Kresin, Ariel University This is an amazing book: readable, deep, and lively. It sets out this emerging area, American Mathematical Society Center of Samaria, Israel, and Vladimir makes connections between old classical Maz’ya, Linköping University, Sweden, graph theory and graph limits, and charts and University of Liverpool, England the course of the future. A presentation of results pertaining to various versions of – Persi Diaconis, Stanford University the maximum principle for elliptic and parabolic systems of ...This is a beautiful volume written by an outstanding arbitrary order. mathematician who is also an excellent expositor. READERSHIP: Graduate students and research mathemati- – Noga Alon, Tel Aviv University, Israel cians ...This book presents a wonderful opportunity for a Mathematical Surveys and Monographs, Volume 183 student in combinatorics to explore other fields of 2012; 317 pp.; hardcover; ISBN: 978-0-8218-8981-7; List US$96; AMS mathematics, or conversely for experts in other areas of members US$76.80; Order code: SURV/183 mathematics to become acquainted with some aspects of graph theory. – Terence Tao, University of California, Los Angeles,

COLLECTED PAPERS OF Collected Papers of John CA JOHN Milnor László Lovász has written an admirable treatise on MILNOR VI. Dynamical Systems (1953– the exciting new theory of graph limits and graph VI homomorphisms, an area of great importance in the Dynamical Systems 2000) (1953–2000) study of large networks. It is an authoritative, masterful Araceli Bonifant Editor text that reflects Lovász's position as the main architect , University of Rhode Araceli Bonifant of this rapidly developing theory. The book is a must for Island, Kingston, RI, Editor American Mathematical Society combinatorialists, network theorists, and theoretical The papers in this volume provide computer scientists alike. important and fundamental material in real and complex – Béla Bollobás, Cambridge University, UK dynamical systems and offer readers a taste of all the great Authored by a leading expert in the subject, this coherent mathematics developed by the author in the different areas of and accessible book describes one recent approach to the dynamics. study of large networks, the limit theory of graphs, which READERSHIP: Research mathematicians has emerged over the past decade and bears rich connec- Collected Works, Volume 19 tions to other approaches to the study of large networks. 2013; 546 pp.; hardcover; ISBN: 978-0-8218-9139-1; List US$109; READERSHIP: Graduate students and research math- AMS members US$87.20; Order code: CWORKS/19.6 ematicians Colloquium Publications, Volume 60 2012; 475 pp.; hardcover; ISBN: 978-0-8218-9085-1; List US$99; Discrete Mathematics AMS members US$79.20; Order code: COLL/60 and Combinatorics

Conference Board of the Mathematical Sciences Rudiments of Ramsey CBMS Regional Conference Series in Mathematics Number 45 Theory Rudiments of Ramsey Theory Ronald L. Graham Ronald L. Graham This book gives a picture of the state of the art of Ramsey theory at the time of AMS electronic products are now mobile!

American Mathematical Society Graham’s CBMS lectures. with support from the National Science Foundation READERSHIP: Advanced undergraduates, With mobile pairing, users can now access their insti- graduate students, and post-Ph.D. mathe- tution’s subscriptions while on the go. “Pair” your web maticians browsing device with your institution’s network and A co-publication of the AMS and CBMS. gain worldwide access to AMS journals, eBooks, CBMS Regional Conference Series in Mathematics, Number 45 MathSciNet content and 1981; 65 pp.; softcover; ISBN: 978-0-8218-1696-7; List US$18; AMS more! For further instruc- members US$14.40; All Individuals US$14.40; Order code: CBMS/45 tions, visit: ams.org/mobilepairing

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Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada) General Interest Geometry and Topology

CBMS The Mathematical Euclidean Geometry Conference Board of the Mathematical Sciences Issues in Mathematics Education Volume 17 Education of Teachers II A Guided Inquiry Approach The Mathematical This report is a resource for those who Education , State University of of Teachers II teach mathematics and statistics to David M. Clark PreK–12 mathematics teachers, both New York, New Paltz, NY future teachers and those who already Geometry has been an essential element in

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F OU 88 Mathematical Association of America NDED 18 the study of mathematics since antiquity. makes recommendations for the mathe- Traditionally, we have also learned formal matics that teachers should know and how reasoning by studying Euclidean geom- they should come to know that mathematics. It urges etry. In this book, David Clark develops a greater involvement of mathematicians and statisticians modern axiomatic approach to this ancient subject, both in teacher education so that the nation’s mathematics in content and presentation. teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics educa- Mathematically, Clark has chosen a new set of axioms tion that ensures high school graduates are college- and that draw on a modern understanding of set theory and career-ready as envisioned by the Common Core State logic, the real number continuum and measure theory, Standards. none of which were available in Euclid’s time. The result is a development of the standard content of Euclidean This report draws on the experience and knowledge of geometry with the mathematical precision of Hilbert’s the past decade to: foundations of geometry. In particular, the book covers • Update the 2001 Mathematical Education of all the topics listed in the Common Core State Standards Teachers report’s recommendations for the math- for high school synthetic geometry. ematical preparation of teachers at all grade levels: The presentation uses a guided inquiry, active learning elementary, middle, and high school. pedagogy. Students benefit from the axiomatic develop- • Address the professional development of teachers of ment because they themselves solve the problems and mathematics. prove the theorems with the instructor serving as a guide • Discuss the mathematical knowledge needed by and mentor. Students are thereby empowered with the teachers at different grade levels and by others who knowledge that they can solve problems on their own teach mathematics such as elementary mathematics without reference to authority. specialists, special education teachers, and early This book, written for an undergraduate axiomatic childhood educators. geometry course, is particularly well suited for future Each of the MET II writers is a mathematician, stat- secondary school teachers. istician, or mathematics educator with substantial In the interest of fostering a greater awareness and expertise and experience in mathematics education. appreciation of mathematics and its connections to Among them are principal investigators for Math Science other disciplines and everyday life, MSRI and the AMS Partnerships as well as past presidents and chairs of are publishing books in the Mathematical Circles Library the American Statistical Association, Association of series as a service to young people, their parents and Mathematics Teacher Educators, Association of State teachers, and the mathematics profession. Supervisors of Mathematics, Conference Board of READERSHIP: Undergraduate students the Mathematical Sciences, and National Council of Titles in this series are co-published with the Mathematical Teachers of Mathematics. Sciences Research Institute (MSRI). The audience for this report includes all who teach MSRI Mathematical Circles Library, Volume 9 mathematics to teachers—mathematicians, statisticians, 2012; 127 pp.; softcover; ISBN: 978-0-8218-8985-5; List and mathematics educators—and all who are responsible US$39; AMS members US$31.20; Order code: MCL/9 for the mathematical education of teachers—department chairs, educational administrators, and policy-makers at the national, state, school-district, and collegiate levels. READERSHIP: Research mathematicians This series is published in cooperation with the Mathematical Association of America. Connect with the AMS on social networks! CBMS Issues in Mathematics Education, Volume 17 2012; 86 pp.; softcover; ISBN: 978-0-8218-6926-0; List US$33; “Like” us on Facebook: AMS members US$26.40; Order code: CBMATH/17 facebook.com/amermathsoc Follow us on Twitter: @amermathsoc

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Order Online | ams.org/bookstore American Mathematical Society Assuming only a general background from differen- Colloquium Publications J -holomorphic Curves Volume 52 tial topology, the book provides introductions to the J-holomorphic and Symplectic Topology Curves and various techniques from the theory of functions of several Symplectic h Topology Second Edition complex variables, symplectic geometry, -principles, Second Edition and Morse theory that enter the proofs of the main

Dusa McDuff Dusa McDuff, Barnard College, results. The main results of the book are original results Dietmar Salamon Columbia University, New York, NY, of the authors, and several of these results appear here for and Dietmar Salamon, ETH, Zurich, the first time. The book will be beneficial for all students Switzerland and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and This second edition continues to serve as the definitive source of the interconnections between these subjects. information about some areas of differential topology (J-holo- morphic curves) and applications to quantum cohomology. The READERSHIP: Graduate students and research math- main goal of the book is to establish the fundamental theorems ematicians of the subject in full and rigorous detail. It may also serve as Colloquium Publications, Volume 59 an introduction to current work in symplectic topology. The 2012; 364 pp.; hardcover; ISBN: 978-0-8218-8533-8; List US$78; second edition clarifies various arguments, includes some AMS members US$62.40; Order code: COLL/59 additional results, and updates the references to recent devel- opments. READERSHIP: Graduate students and research mathemati- A Survey on Classical cians Volume 60 Minimal Surface Theory

Colloquium Publications, Volume 52 A Survey on Classical 2012; 726 pp.; hardcover; ISBN: 978-0-8218-8746-2; List US$109; AMS members Minimal Surface Theory William H. Meeks III, University William H. Meeks III US$87.20; Order code: COLL/52.R Joaquín Pérez of Massachusetts, Amherst, MA, and Joaquín Pérez, Universidad de Granada, Spain

American Mathematical Society Colloquium Publications From Stein to Weinstein Volume 59 Meeks and Pérez present a survey of recent spectacular successes in classical minimal From Stein and Back to Weinstein surface theory. The classification of minimal planar and Back Symplectic Geometry Symplectic Geometry of Affine domains in three-dimensional Euclidean space provides of Affine Complex Manifolds Complex Manifolds the focus of the account. The proof of the classification

Kai Cieliebak depends on the work of many currently active leading Yakov Eliashberg Kai Cieliebak, Ludwig-Maximilians- mathematicians, thus making contact with much of the Universität, München, Germany, and most important results in the field. Through the telling of Yakov Eliashberg, Stanford University, the story of the classification of minimal planar domains, CA the general mathematician may catch a glimpse of the intrinsic beauty of this theory and the authors’ perspec- A beautiful and comprehensive introduction to this important tive of what is happening at this historical moment in a field. very classical subject. —Dusa McDuff, Barnard College, Columbia University This book includes an updated tour through some of the This excellent book gives a detailed, clear, and wonderfully recent advances in the theory, such as Colding–Minicozzi written treatment of the interplay between the world of Stein theory, minimal laminations, the ordering theorem manifolds and the more topological and flexible world of for the space of ends, conformal structure of minimal Weinstein manifolds. Devoted to this subject with a long history, surfaces, minimal annular ends with infinite total curva- the book serves as a superb introduction to this area and also ture, the embedded Calabi–Yau problem, local pictures contains the authors’ new results. on the scale of curvature and topology, the local remov- —Tomasz Mrowka, MIT able singularity theorem, embedded minimal surfaces of finite genus, topological classification of minimal This book is devoted to the interplay between complex and surfaces, uniqueness of Scherk singly periodic minimal symplectic geometry in affine complex manifolds. Affine surfaces, and outstanding problems and conjectures. complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many READERSHIP: Graduate students and research math- phenomena in complex geometry and analysis. The goal of the ematicians book is the exploration of this symplectic geometry (the road University Lecture Series, Volume 60 from “Stein to Weinstein”) and its applications in the complex 2012; 182 pp.; softcover; ISBN: 978-0-8218-6912-3; List US$48; geometric world of Stein manifolds (the road “back”). This is AMS members US$38.40; Order code: ULECT/60 the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology.

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Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada) Conference Board of the Mathematical Sciences From Riches to Raags: CBMS Mathematical Physics Regional Conference Series in Mathematics Number 117 3-Manifolds, Right-

From Riches to Raags: Angled Artin Groups, and Proceedings of Symposia in String-Math 2011 3-Manifolds, Right-Angled P URE M ATHEMATICS Artin Groups, and Cubical Geometry Cubical Geometry Volume 85 Jonathan Block, University of Daniel Wise String-Math 2011 Daniel T. Wise, McGill University, Pennsylvania, Philadelphia, PA, Jonathan Block American Mathematical Society with support from the Jacques Distler Jacques Distler, University of Texas at National Science Foundation Montreal, QC, Canada Ron Donagi Eric Sharpe Editors Austin, TX, Ron Donagi, University of This unique book presents an introduction Pennsylvania, Philadelphia, PA, and to the geometric group theory associated with nonpositively curved cube complexes. It advocates the use of cube complexes American Mathematical Society Eric Sharpe, Virginia Polytech Institute to understand the fundamental groups of hyperbolic 3-mani- & State University, Blacksburg, VA, folds as well as many other infinite groups studied within Editors geometric group theory. The main goal is to outline the proof This volume contains the proceedings of the inaugural confer- that a hyperbolic group G with a quasiconvex hierarchy has ence in the String-Math series, which aims to bring together a finite index subgroup that embeds in a right-angled Artin leading mathematicians and mathematically minded physicists group. The author presents the main results in this area along working in this interface. with an introduction to fundamental ideas; the result is a READERSHIP: Graduate students and research mathema- synthesis of what is known by experts in the field. ticians READERSHIP: Graduate students and research mathema- Proceedings of Symposia in Pure Mathematics, Volume 85 ticians 2012; 484 pp.; hardcover; ISBN: 978-0-8218-7295-6; List US$113; AMS members A co-publication of the AMS and CBMS. US$90.40; Order code: PSPUM/85 CBMS Regional Conference Series in Mathematics, Number 117 2012; 141 pp.; softcover; ISBN: 978-0-8218-8800-1; List US$41; Number Theory AMS members US$32.80; All Individuals US$32.80; Order code: CBMS/117 Numbers and Functions From a classical-experimental Mathematical Surveys and Monographs Diffeology Volume 185 mathematician’s point of view

Diffeology Patrick Iglesias-Zemmour, CNRS, Victor H. Moll, Tulane University, New Marseille, France, and The Hebrew Orleans, LA Patrick Iglesias-Zemmour University of Jerusalem, Israel New mathematics often comes about This book lays the foundations of the main by probing what is already known. fields of differential geometry used in Mathematicians will change the parameters in a familiar American Mathematical Society theoretical physics, and ends with an open calculation or explore the essential ingredients of a program on symplectic diffeology, a rich classic proof. Almost magically, new ideas emerge from field of application of the theory. this process. This book examines elementary functions, READERSHIP: Graduate students and research mathema- such as those encountered in calculus courses, from this ticians point of view of experimental mathematics. The focus is Mathematical Surveys and Monographs, Volume 185 on exploring the connections between these functions 2012; approximately 449 pp.; hardcover; ISBN: 978-0-8218-9131-5; and topics in number theory and combinatorics. There List US$117; AMS members US$93.60; Order code: SURV/185 is also an emphasis throughout the book on how current mathematical software can be used to discover and prove interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make Keep informed this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture The AMS Bookstore New Releases email alert of mathematics. By delving into a variety of them, the is the best way to keep current with new reader will develop this broad view. The large collection developments in your  eld and learn about of problems is an essential part of the book. The prob- recently published titles. lems vary from routine verifications of facts used in the Sign up today at: text to the exploration of open questions. ams.org/bookstore/keepinformed. READERSHIP: Undergraduate and graduate students Student Mathematical Library, Volume 65 2012; 504 pp.; softcover; ISBN: 978-0-8218-8795-0; List US$58; AMS members US$46.40; Order code: STML/65

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Order Online | ams.org/bookstore Number Theory 3

Translations of MATHEMATICAL Iwasawa Theory and Modular MONOGRAPHS Forms Volume 242

Number Theory 3 Iwasawa Theory Nobushige Kurokawa, Tokyo Institute and Modular Forms of Technology, Japan, Masato Kurihara, Nobushige Kurokawa Masato Kurihara Takeshi Saito Keio University, Yokohama, Japan, and Takeshi Saito, University of Tokyo, ANAMI SERIES IN MODERN MATHEMATICS American Mathematical Society IW Japan This is the third of three related volumes on number theory. The two main topics of this book are Iwasawa theory and modular forms. It also contains a short exposition on the arith- metic of elliptic curves and the proof of Fermat’s last theorem by Wiles. Together with the first two volumes, the book is a good resource for anyone learning or teaching modern alge- braic number theory. READERSHIP: Graduate students Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics), Volume 242 2012; 226 pp.; softcover; ISBN: 978-0-8218-2095-7; List US$53; AMS members US$42.40; Order code: MMONO/242 Probability and Statistics

Probability and Statistical Physics in Two and More Dimensions

David Ellwood, Clay Mathematics Institute, Cambridge, MA, Charles Newman, Courant Institute, New York University, NY, Vladas Sidoravicius, IMPA, Rio de Janeiro, Brazil, and Wendelin Werner, Ecole Normale Supérieure, Paris, France, and Université Paris-Sud, Orsay, France, Editors This collection of lecture notes provides a panoramic, state- of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. READERSHIP: Graduate students and research mathemati- cians Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA). Clay Mathematics Proceedings, Volume 15 2012; 467 pp.; softcover; ISBN: 978-0-8218-6863-8; List US$114; AMS members US$91.20; Order code: CMIP/15

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Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada) CONTEMPORARY Computational Geometry and Topology MATHEMATICS ONTEMPORARY 582 C Computational and and Combinatorial Group Analysis, ATHEMATICS Theory and Cryptography Combinatorial M Benjamin Fine ONTEMPORARY Delaram Kahrobaei C Geometry and Gerhard Rosenberger MATHEMATICS series Editors Group 584 Analysis, Geometry and Quantum Field Quantum Field Theory Algebra and Algebraic American Mathematical Society Theory and Clara L. Aldana Maxim Braverman Theory Bruno Iochum Geometry Cryptography Carolina Neira Jiménez Editors Clara L. Aldana, Max Benjamin Fine, Fairfield University, Planck Institute for Groups and Model American Mathematical Society CT, Delaram Kahrobaei, CUNY Gravitational Physics, Theory Graduate Center, New York, NY, and Golm, Germany, Maxim Braverman, Northeastern Lutz Strüngmann, University of Gerhard Rosenberger, University of University, Boston, MA, Bruno Duisburg-Essen, Germany, Manfred Hamburg, Germany, Editors Iochum, Aix-Marseille Université, Droste, University of Leipzig, Contemporary Mathematics, Volume 582 France, and Carolina Neira Jiménez, Germany, , Tulane László Fuchs 2012; 199 pp.; softcover; ISBN: 978-0- Universität Regensburg, Germany, University, New Orleans, LA, and 8218-7563-6; List US$74; AMS members Editors Katrin Tent, University of Münster, US$59.20; Order code: CONM/582 Germany, Editors Contemporary Mathematics, Volume 584 Analysis 2012; 258 pp.; softcover; ISBN: 978-0- Contemporary Mathematics, Volume 576 8218-9144-5; List US$86; AMS members 2012; 316 pp.; softcover; ISBN: 978-0- US$68.80; Order code: CONM/584 8218-6923-9; List US$108; AMS members Recent Advances in US$86.40; Order code: CONM/576 Orthogonal Polynomials, Mathematical Physics Special Functions, and

CONTEMPORARY Their Applications Mathematical Aspects of MATHEMATICS Tropical 580 Quantization Tropical Geometry and Geometry and J. Arvesú and G. López Lagomasino, Integrable Systems Integrable Universidad Carlos III de Madrid, Sam Evens, Michael Gekhtman, Chris Athorne Diane Maclagan Ian Strachan Leganés, Spain, Editors Brian C. Hall, Xiaobo Liu, and Editors Systems Contemporary Mathematics, Volume 578 Claudia Polini, University of Notre American Mathematical Society Chris Athorne, 2012; 254 pp.; softcover; ISBN: 978-0- Dame, IN, Editors University of 8218-6896-6; List US$86; AMS members Contemporary Mathematics, Volume 583 US$68.80; Order code: CONM/578 Glasgow, United Kingdom, Diane 2012; 308 pp.; softcover; ISBN: 978-0- Maclagan, University of Warwick, 8218-7573-5; List US$97; AMS members United Kingdom, and Ian Strachan, Applications US$77.60; Order code: CONM/583 University of Glasgow, United

Kingdom, Editors CONTEMPORARY Multi-Scale Number Theory MATHEMATICS 577 Contemporary Mathematics, Volume 580 Multi-Scale and and High- 2012; 155 pp.; softcover; ISBN: 978-0- High-Contrast PDE Theory and Applications From Modelling, to Mathematical Contrast PDE 8218-7553-7; List US$62; AMS members Analysis, to Inversion Habib Ammari, Yves Capdeboscq, of Finite Fields Hyeonbae Kang US$49.60; Order code: CONM/580 Editors From Modelling, Michel Lavrauw, Universit degli American Mathematical Society to Mathematical Analysis, to Studi di Padova, Vicenza, Italy, Recent Advances in Inversion Gary L. Mullen, Pennsylvania Harmonic Analysis State University, State College, PA, and Partial Differential Habib Ammari, Ecole Normale Svetla Nikova, K.U. Leuven, Leuven- Supérieure, Paris, France, Yves Heverlee, Belgium, Daniel Panario, Equations Capdeboscq, Mathematical Institute, Carleton University, Ottawa, Ontario, Oxford, United Kingdom, and Canada, and Leo Storme, Ghent Andrea R. Nahmod, University Hyeonbae Kang, Inha University, University, Belgium, Editors of Massachusetts, Amherst, MA, Incheon, Korea, Editors Christopher D. Sogge, Johns Contemporary Mathematics, Volume 579 Hopkins University, Baltimore, Contemporary Mathematics, Volume 577 2012; 204 pp.; softcover; ISBN: 978-0- 8218-5298-9; List US$74; AMS members MD, Xiaoyi Zhang, University of 2012; 144 pp.; softcover; ISBN: 978-0- US$59.20; Order code: CONM/579 Iowa, Iowa City, IA, and Shijun 8218-6929-1; List US$62; AMS members US$49.60; Order code: CONM/577 Zheng, Georgia Southern University, Statesboro, GA, Editors Contemporary Mathematics, Volume 581 Now available in electronic format through a subscription! 2012; 285 pp.; softcover; ISBN: 978-0- 8218-6921-5; List US$97; AMS members ams.org/ebooks US$77.60; Order code: CONM/581 12

Order Online | ams.org/bookstore Infinite- 2012; 108 pp.; softcover; ISBN: 978-0- Memoirs of the American EMOIRS 8218-6911-6; List US$70; Institutional Mathematical Society, Volume 221, M of the Dimensional member US$56; Individual member Number 1041 American Mathematical Society Representations of US$42; Order code: MEMO/220/1033 2013; 143 pp.; softcover; ISBN: 978-0- Algebra and 2-Groups 8218-8975-6; List US$76; Institutional Algebraic Geometry Differential member US$60.80; Individual member US$45.60; Order code: , Equations John C. Baez Aristide MEMO/221/1041 Hopf Algebras Baratin, Laurent Freidel, and Zeta Functions for and Congruence Derek K. Wise Geometry and Memoirs of the American Two-Dimensional Topology Subgroups Mathematical Society, Volume 219, Number 1032 Shifts of Finite Yorck Sommerhäuser and 2012; 120 pp.; softcover; ISBN: 978-0- Type Elliptic Integrable Yongchang Zhu 8218-7284-0; List US$71; Institutional Systems: A Memoirs of the American member US$56.80; Individual Jungchao Ban, Wen-Guei Hu, Mathematical Society, Volume 219, member US$42.60; Order code: Song-Sun Lin, and Yin-Heng Comprehensive Number 1028 MEMO/219/1032 Lin Geometric 2012; 134 pp.; softcover; ISBN: 978-0- Memoirs of the American Interpretation 8218-6913-0; List US$72; Institutional Mathematical Society, Volume 221, member US$57.60; Individual Modular Branching Number 1037 Idrisse Khemar member US$43.20; Order code: Rules for Projective 2013; 60 pp.; softcover; ISBN: 978-0- MEMO/219/1028 Memoirs of the American Representations of 8218-7290-1; List US$60; Institutional Mathematical Society, Volume 219, member US$48; Individual member Number 1031 Symmetric Groups US$36; Order code: MEMO/221/1037 Extended Graphical 2012; 217 pp.; softcover; ISBN: 978-0- Calculus for and Lowering 8218-6925-3; List US$88; Institutional Operators for the Wave Front Set member US$70.40; Individual Categorified member US$52.80; Order code: Quantum sl(2) Supergroup Q (n ) of Solutions to MEMO/219/1031 Alexander Kleshchev and Sums of Squares of Mikhail Khovanov, Aaron D. Vladimir Shchigolev Vector Fields Connes-Chern Lauda, Marco Mackaay, and Memoirs of the American Marko Stosˇic´, and Character for Mathematical Society, Volume 220, Paolo Albano Antonio Memoirs of the American Number 1034 Bove Manifolds with Mathematical Society, Volume 219, 2012; 123 pp.; softcover; ISBN: 978-0- Memoirs of the American Boundary and Eta Number 1029 8218-7431-8; List US$71; Institutional Mathematical Society, Volume 221, Cochains 2012; 87 pp.; softcover; ISBN: 978-0- member US$56.80; Individual Number 1039 8218-8977-0; List US$67; Institutional member US$42.60; Order code: 2013; 73 pp.; softcover; ISBN: 978-0- Matthias Lesch, Henri member US$53.60; Individual MEMO/220/1034 8218-7570-4; List US$62; Institutional Moscovici, and Markus J. member US$40.20; Order code: member US$49.60; Individual MEMO/219/1029 member US$37.20; Order code: Pflaum Vector Bundles MEMO/221/1039 Memoirs of the American Mathematical Society, Volume 220, Finite Order on Degenerations Number 1036 Automorphisms of Elliptic Curves The Kohn-Sham 2012; 92 pp.; softcover; ISBN: 978-0- and Yang-Baxter Equation for 8218-7296-3; List US$67; Institutional and Real Forms member US$53.60; Individual of Affine Kac- Equations Deformed Crystals member US$40.20; Order code: MEMO/220/1036 Moody Algebras Igor Burban and Bernd Weinan E and Jianfeng Lu in the Smooth and Kreussler Memoirs of the American Logic and Algebraic Category Memoirs of the American Mathematical Society, Volume 221, Foundations Mathematical Society, Volume 220, Number 1040 Ernst Heintze and Christian Number 1035 2013; 97 pp.; softcover; ISBN: 978-0- Potential Wadge Groß 2012; 131 pp.; softcover; ISBN: 978-0- 8218-7560-5; List US$69; Institutional 8218-7292-5; List US$71; Institutional member US$55.20; Individual Memoirs of the American Classes member US$56.80; Individual member US$41.40; Order code: Mathematical Society, Volume 219, member US$42.60; Order code: MEMO/221/1040 Dominique Lecomte Number 1030 MEMO/220/1035 Memoirs of the American 2012; 66 pp.; softcover; ISBN: 978-0- Mathematical Society, Volume 221, 8218-6918-5; List US$58; Institutional The Regularity of Number 1038 member US$46.40; Individual Analysis member US$34.80; Order code: General Parabolic 2013; 83 pp.; softcover; ISBN: 978-0- MEMO/219/1030 The Reflective Systems with 8218-7557-5; List US$62; Institutional member US$49.60; Individual Lorentzian Lattices Degenerate member US$37.20; Order code: of Rank 3 Diffusion MEMO/221/1038

Daniel Allcock Verena Bögelein, Frank Memoirs of the American Duzaar, and Giuseppe Mathematical Society, Volume 220, Mingione Number 1033 13

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What’s Volume9 Happening in the Mathematical Sciences DANA MACKENZIE

The AMS book series What’s Happening in the Mathematical Sciences shines a welcome spotlight on some of the most cutting edge and compelling developments in contemporary mathematics. These include the mathematics behind stories that made headlines, as well as fascinating mathematical vignettes that never made it into the newspapers. A hallmark of the series is the author’s propensity for crafting vibrant and accessible prose, rendering the books appropriate for nearly anyone with a zest for great mathematics. The topics covered in this volume highlight a diverse range of mathematical achievements, both in the theoretical domain and in the world at large. Several chapters illustrate the integral role of mathematics in helping society prepare for and manage recent natural and manmade disasters. Examples include: the use of mathematical models to optimize national and international responses to the 2009 H1N1 pandemic; the collaboration, following Japan’s 2011 tsunami, between geoscientists and mathematicians to improve our short-term forecasting ability and quantify the long-term risks of tsunamis; and the adaptation of earth- quake prediction algorithms to forecast criminal activity in Los Angeles and other U.S. cities (also known as “predictive policing”). Fortunately, not all mathematics involves emergencies. The book examines several notable conjectures settled in recent years, including the Willmore and Lawson Conjectures. There are pieces on the emerging subject known as tropical geometry, the widely publicized 2012 discovery of the elusive Higgs boson, topic modeling, and new discoveries about mathematicians’ (and many other people’s) favorite toy: the Rubik’s Cube. Despite the differences in subject matter, the stories in this volume share a delightful similarity with other volumes in the series: the delivery remains sound, and the mathematics is as riveting as ever.

What’s Happening in the Mathematical Sciences, Volume 9 2012; approx. 144 pp.; softcover; ISBN 978-0-8218-8739-4; List US$25; AMS members US$20; Order code: HAPPENING/9

Pre-order your copy today! By phone: 1-800-321-4AMS (U.S. and Canada) or 1-401-455-4000 (international) INDEX by Title and Author

A Diffeology ...... 10 Heintze, Ernst ...... 13 Albano, Paolo ...... 13 Distler, Jacques ...... 10 Higher Order Fourier Analysis ...... 4 Aldana, Clara L...... 12 Dolgopyat, Dmitry ...... 14 Hopf Algebras and Congruence Subgroups ...... 13 Allcock, Daniel ...... 13 Donagi, Ron ...... 10 Hu, Wen-Guei ...... 13 Ammari, Habib ...... 12 Droste, Manfred ...... 12 I Analysis, Geometry and Quantum Dualities and Representations of Lie Field Theory ...... 12 Superalgebras ...... 3 Iglesias-Zemmour, Patrick ...... 10 Arrangements of Duzaar, Frank ...... 13 Infinite-Dimensional Representations of Hyperplanes—Sapporo 2009 ...... 14 2-Groups ...... 13 E Arvesú, J...... 12 An Introduction to Dynamical Systems . . 6 E, Weinan ...... 13 Athorne, Chris ...... 12 Introduction to Moduli Problems and Eliashberg, Yakov ...... 9 Orbit Spaces ...... 14 B Elliptic Integrable Systems: A Introduction to Quantum Graphs . . . . . 3 Baez, John C ...... 13 Comprehensive Geometric Interpretation ...... 13 Iochum, Bruno ...... 12 Ban, Jungchao ...... 13 Ellwood, David ...... 11 J Baratin, Aristide ...... 13 Euclidean Geometry ...... 8 -holomorphic Curves and Symplectic Barnett, Alex H...... 6 J Topology ...... 9 Evens, Sam ...... 12 Behrend, Kai ...... 14 K Extended Graphical Calculus for Berkolaiko, Gregory ...... 3 Categorified Quantum sl(2) ...... 13 Kahrobaei, Delaram ...... 12 Block, Jonathan ...... 10 F Kang, Hyeonbae ...... 12 Bögelein, Verena ...... 13 Faber, Carel ...... 14 Kashiwara, Masaki ...... 14 Boivin, André ...... 6 Farkas, Gavril ...... 14 Khemar, Idrisse ...... 13 Bonifant, Araceli ...... 7 Fine, Benjamin ...... 12 Khovanov, Mikhail ...... 13 Boundary Value Problems for the Stokes Finite Order Automorphisms and Real Kleshchev, Alexander ...... 13 System in Arbitrary Forms of Affine Kac-Moody Lipschitz Domains ...... 14 The Kohn-Sham Equation for Algebras in the Smooth Deformed Crystals ...... 13 Bove, Antonio ...... 13 and Algebraic Category ...... 13 Kostov, Vladimir Petrov ...... 14 Braverman, Maxim ...... 12 Formal Groups and Applications ...... 3 Kresin, Gershon ...... 7 Bressan, Alberto ...... 4 Foundations of Analysis ...... 5 Kreussler, Bernd ...... 13 Burban, Igor ...... 13 Freidel, Laurent ...... 13 Kuchment, Peter ...... 3 C From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Kurihara, Masato ...... 11 Capdeboscq, Yves ...... 12 Cubical Geometry ...... 10 Kurokawa, Nobushige ...... 11 Cheng, Shun-Jen ...... 3 From Stein to Weinstein and Back . . . . . 9 L Cieliebak, Kai ...... 9 Fuchs, László ...... 12 Lagomasino, G. López ...... 12 Clark, David M...... 8 G Large Networks and Graph Limits . . . . . 7 Collected Papers of John Milnor ...... 7 Gas¸par, Dumitru ...... 14 Lauda, Aaron D...... 13 Complex Analysis and Potential Theory . 6 Gehring, Frederick W...... 5 Lavrauw, Michel ...... 12 Computational and Combinatorial Group Gekhtman, Michael ...... 12 Theory and Cryptography ...... 12 Le Stum, Bernard ...... 14 Geometry and Arithmetic ...... 14 Connes-Chern Character for Manifolds Lecomte, Dominique ...... 13 with Boundary and Eta Cochains . . . 13 Ginot, Grégory ...... 14 Lecture Notes on Functional Analysis . . . 4 Contributions to Algebraic Geometry . . 14 Gordon, Carolyn S...... 6 Lesch, Matthias ...... 13 Conway, John B...... 4 Graham, Ronald L...... 7 Lin, Song-Sun ...... 13 Cortiñas, Guillermo ...... 4 Groß, Christian ...... 13 Lin, Yin-Heng ...... 13 A Course in Abstract Analysis ...... 4 Groups and Model Theory ...... 12 Liu, Xiaobo ...... 12 A Course on Elation Quadrangles . . . . 14 H Lovász, László ...... 7 D Hag, Kari ...... 5 Lu, Jianfeng ...... 13 de Jong, Robin ...... 14 Hall, Brian C...... 12 M Deformation Quantization Modules . . . 14 Handbook of Teichmüller Theory . . . . . 14 Mackaay, Marco ...... 13 Deformation Theory of Algebras Hazewinkel, Michiel ...... 3 Maclagan, Diane ...... 12 16 and Their Diagrams ...... 3

Order Online | ams.org/bookstore Markl, Martin ...... 3 Pragacz, Piotr ...... 14 Timotin, Dan ...... 14 Mashreghi, Javad ...... 6 Probability and Statistical Physics Topics in Noncommutative Geometry . . 4 in Two and More Dimensions . . . . . 11 Mathematical Aspects of Topics in Occupation Times and Quantization ...... 12 R Gaussian Free Fields ...... 14 The Mathematical Education of Recent Advances in Harmonic Topics on Hyperbolic Polynomials in One Teachers II ...... 8 Analysis and Partial Differential Variable...... 14 Equations ...... 12 Maximum Principles and Sharp Tractability of Multivariate Constants for Solutions of Elliptic Recent Advances in Orthogonal Problems ...... 14 and Parabolic Systems ...... 7 Polynomials, Special Functions, Tropical Geometry and and Their Applications ...... 12 Maz’ya, Vladimir ...... 7 Integrable Systems ...... 12 Recent Developments in Lie McDuff, Dusa ...... 9 U Algebras, Groups and Meeks, William H., III ...... 9 Representation Theory ...... 4 The Ubiquitous Quasidisk ...... 5 Milnor, John W ...... 7 The Reflective Lorentzian Lattices of Uribe, Alejandro ...... 6 Rank 3 ...... 13 Mingione, Giuseppe ...... 13 V The Regularity of General Parabolic Misra, Kailash C...... 4 Vasilescu, Florian-Horia ...... 14 Systems with Mitrea, Marius ...... 14 Degenerate Diffusion ...... 13 Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Modular Branching Rules for Projective Repulsion from Resonances ...... 14 Equations ...... 13 Representations of Symmetric Groups Robinson, R. Clark ...... 6 and Lowering Operators for the W Supergroup Q(n) ...... 13 Rosenberger, Gerhard ...... 12 Wang, Weiqiang ...... 3 Moll, Victor H...... 10 Rudiments of Ramsey Theory ...... 7 Wave Front Set of Solutions to Sums of Moscovici, Henri ...... 13 S Squares of Vector Fields ...... 13 Mullen, Gary L...... 12 Saito, Takeshi ...... 11 Werner, Wendelin ...... 11 Multi-Scale and High-Contrast Salamon, Dietmar ...... 9 Wise, Daniel T...... 10 PDE ...... 12 Schapira, Pierre ...... 14 Wise, Derek K...... 13 N Sharpe, Eric ...... 10 Woz´niakowski, Henryk ...... 14 Nahmod, Andrea R...... 12 Shchigolev, Vladimir ...... 13 Wright, Matthew ...... 14 Nakano, Daniel K...... 4 Sidoravicius, Vladas ...... 11 X Neira Jiménez, Carolina ...... 12 Sogge, Christopher D...... 12 Xu, Ping ...... 14 Newman, Charles ...... 11 Sommerhäuser, Yorck ...... 13 Y Newstead, P. E...... 14 Spectral Geometry ...... 6 Yuzvinsky, Sergey ...... 14 Nikova, Svetla ...... 12 Storme, Leo ...... 12 Z Noohi, Behrang ...... 14 Størmer, Erling ...... 14 Zeta Functions for Two-Dimensional Novak, Erich ...... 14 Shifts of Finite Type ...... 13 Stosˇic´, Marko ...... 13 Number Theory 3 ...... 11 Zhang, Xiaoyi ...... 12 Strachan, Ian ...... 12 Numbers and Functions ...... 10 Zheng, Shijun ...... 12 String Topology for Stacks ...... 14 O Zhu, Yongchang ...... 13 String-Math 2011 ...... 10 An Operator Theory Summer ...... 14 Strüngmann, Lutz ...... 12 Ordinary Differential Equations and A Survey on Classical Minimal Dynamical Systems ...... 6 Surface Theory ...... 9 The Overconvergent Site ...... 14 Sznitman, Alain-Sol ...... 14 P T Panario, Daniel ...... 12 Tao, Terence ...... 4 Papadopoulos, Athanase ...... 14 Taylor, Joseph L...... 5 Parshall, Brian J...... 4 Tent, Katrin ...... 12 Pérez, Joaquín ...... 9 Terao, Hiroaki ...... 14 Perry, Peter A...... 6 Teschl, Gerald ...... 6 Pflaum, Markus J...... 13 Thas, Koen ...... 14 Polini, Claudia ...... 12 Theory and Applications of Potential Wadge Classes ...... 13 Finite Fields ...... 12 17

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