The 2009 Noticesindex

Total Page:16

File Type:pdf, Size:1020Kb

The 2009 Noticesindex The 2009 Notices Index January issue: 1–200 May issue: 553–680 October issue: 1065–1224 February issue: 201–336 June/July issue: 681–792 November issue: 1225–1400 March issue: 337–440 August issue: 793–904 December issue: 1401–1520 April issue: 441–552 September issue: 905–1064 2009 Steele Prizes, 488 Index Section Page Number 2009 Whiteman Prize, 498 2009–2010 AMS Centennial Fellowship Awarded, 738 The AMS 1503 (A) Photographic Look at the Joint Mathematics Meetings, Announcements 1504 Washington, DC, 2009, 480 Articles 1504 American Mathematical Society Centennial Fellowships, Authors 1505 971, 1305 Deaths of Members of the Society 1507 American Mathematical Society—Contributions, 645 Grants, Fellowships, Opportunities 1507 AMS Announces Congressional Fellow, 746 Letters to the Editor 1509 AMS Announces Mass Media Fellowship Award, 746 Meetings Information 1509 AMS Congressional Fellowship, 1305 New Publications Offered by the AMS 1509 AMS Current Events Bulletin, 63 Obituaries 1510 AMS Department Chairs Workshop, 743 Opinion 1510 AMS Einstein Public Lecture in Mathematics, 2009, 449 Prizes and Awards 1510 AMS Email Support for Frequently Asked Questions, 274 Prizewinners 1512 AMS Epsilon Fund, 1122 Reference and Book List 1516 AMS Graduate Student Blog, 639 Reviews 1516 AMS Holds Workshop for Department Chairs, 747 Surveys 1516 AMS Hosts Congressional Briefing: Can Mathematics Cure Tables of Contents 1516 Leukemia?, 64 AMS Lectures for Cambodian Master’s Degree Program, 851 AMS Menger Awards at the 2009 ISEF, 917 About the Cover AMS Officers and Committee Members, 1133 88, 239, 354, 487, 613, 710, 808, 915, 1132, 1301, 1455 AMS Scholarships for “Math in Moscow”, 971 AMS Short Course in San Francisco, CA, 1171 The AMS AMS Sponsors Exhibit on Mathematical Modeling, 747 2008 Annual Survey of the Mathematical Sciences (First AMS Sponsors NExT Fellows, 1310 Report), 257 AMS Testifies Before House Appropriations Subcommit- 2008 Annual Survey of the Mathematical Sciences (First tee, 746 Report, Part II), 388 AMS-AAAS Mass Media Summer Fellowship, 1122 AMS-AAAS Mass Media Summer Fellowships, 59 2008 Annual Survey of the Mathematical Sciences in the Applications and Nominations Sought for AMS Associate United States (Second Report), 828 Treasurer, 303 2008 Annual Survey of the Mathematical Sciences in the Biographies of Candidates, 2009, 990 United States (Third Report), 1289 Bylaws of the American Mathematical Society, 1320 2008 Election Results, 304 Call for Applications or Nominations for Treasurer of the 2009 American Mathematical Society Election (Special AMS, 860 Section), 983 Call for Nominations for AMS Award for Mathematics 2009 AMS Election—Nominations by Petition, 305 Programs That Make a Difference, 408 2009 AMS-SIAM Birkhoff Prize, 492 Call for Organizers 2010 MRC Conferences, 87 2009 Award for an Exemplary Program or Achievement in Call for Proposals for the 2011 von Neumann Symposium, a Mathematics Department, 632 878 2009 Cole Prize in Algebra, 494 Call for Suggestions for 2010 AMS Elections, 1003 2009 Conant Prize, 500 Discussion on “The Mathematics behind Tom Stoppard’s 2009 Morgan Prize, 502 Arcadia”, 851 2009 Satter Prize, 496 Epsilon Awards for 2009, 640 DECEMBER 2009 NOTICES OF THE AMS 1503 2009 Index Epsilon Scholarships Awarded for 2009, 1462 (The) Dixmier-Douady Invariant for Dummies (Claude Erdo˝s Memorial Lecture, 63, 747 Schochet), 809 Fairweather Named MR Executive Editor, 508 Guido Castelnuovo and Francesco Severi: Two Personali- Fan China Exchange Program Names Awardees, 850 ties, Two Letters (Donald Babbitt and Judith Goodstein), From the AMS Public Awareness Office, 63, 274, 508, 640, 800 748, 850, 975, 1310, 1462 Invariant Theory of Tensor Product Decompositions of General Information Regarding Meetings & Conferences U (N ) and Generalized Casimir Operators (William H. of the AMS, 89 Klink and Tuong Ton-That), 931 Math in Moscow Scholarships Awarded, 850 Is the Sky Still Falling? (David M. Bressoud), 20 Mathematics Awareness Month, April 2009: “Mathematics Legal Commentary: Accommodations of Learning Disabili- and Climate”, 401 ties in Mathematics Courses (Kathleen Ambruso Acker, Mathematics Research Communities Program Kicks Off, 224 Mary W. Gray, and Behzad Jalali), 1072 Nebraska Department Wins Exemplary Program Award, 622 Mathematical Models in Science and Engineering (Alfio Nominations by Petition for 2009 AMS Election, 1004 Quarteroni), 10 Officers of the Society 2008 and 2009 Updates, 651 Mathematics and the Internet: A Source of Enormous Presidential Views: Interview with George Andrews, 383 Confusion and Great Potential (Walter Willinger, David Presidential Views: Interview with James Glimm, 247 Alderson, and John C. Doyle), 586 Reciprocity Agreements, 1346 On the Concept of Genus in Topology and Complex Analy- Report of the AMS First-Year Task Force (James Lewis, sis (Friedrich E. P. Hirzebruch and Matthias Kreck), 713 Alan Tucker), 754 (A) Pencil-and-Paper Algorithm for Solving Sudoku Puzzles Report of the Executive Director, State of the AMS, 2009, (J. F. Crook), 460 1129 (The) Quest for Universal Spaces in Dimension Theory (Stephen Leon Lipscomb), 1418 Report of the Treasurer (2008), 1006 Remembering Atle Selberg, 1917–2007 (Dennis Hejhal, Statistics on Women Mathematicians Compiled by the Peter Sarnak, John Friedlander, Dorian Goldfeld, Samuel AMS, 1144 J. Patterson, Roger Heath-Brown, K. M. Tsang, Wenzhi “Stipends for Study and Travel” to Appear Only on Web, 851 Luo, Brian Conrey, Amit Ghosh, Lennart Carleson, Paul Voting Information for 2009 AMS Election, 982 Malliavin, Nils A. Baas), 692 (see also “Corrections”, Announcements August 2009, p. 852) Remembering John Stallings (Danny Calegari, Benson Everett Pitcher Lectures, 400 Farb, Peter Shalen, Hyam Rubinstein, Mahan Mj, Anan- Invited Speakers for ICM 2010, Hyderabad, 1459 daswarup Gadde, Koji Fujiwara, Stephen Miller, Barry Kichoon Yang Named Next NCTM Executive Director, 745 Mazur), 1410 Mathematics Film Receives Prize, 745 (The) Strong Free Will Theorem (John H. Conway and Simon Mathematics Subject Classification 2010, 848 Kochen), 226 Morgan Appointed Director of Simons Center at Stony (The) TEX Family in 2009 (Jim Hefferon and Karl Berry), 348 Brook, 1309 Time-frequency Analysis of Musical Rhythm (Xiaowen NSF Math Institutes Create New Jobs, 848 Cheng, Jarod V. Hart, and James S. Walker), 356 Program Director Positions at NSF, 400 Transitioning to Careers in Higher Education (Reflections Articles from Recent Ph.D.s in Mathematics Education) (Robert Reys, Dana Cox, Shannon Dingman, and Jill Newton), 1098 — Features (A) Trio of Institutes (Allyn Jackson), 1426 Andrew M. Gleason (1921–2008) (Ethan D. Bolker, John We Do Not Choose Mathematics as Our Profession, It Burroughs, David Lieberman, Jim Reeds, Richard Pal- Chooses Us: Interview with Yuri Manin (Mikhail Gel- ais, John Wermer, Joel Spencer, Paul R. Chernoff, Lida fand), 1268 Barrett, Deborah Hughes Hallett, T. Christine Stevens, — Communications Jeff Tecosky-Feldman, Thomas Tucker, Leslie Dunton- 2008 Annual Survey of the Mathematical Sciences (First Downer, Jean Berko Gleason), 1236 Report), (Polly Phipps, James W. Maxwell, and Colleen Birds and Frogs (Freeman Dyson), 212 Rose), 257 Bôcher, Osgood, and the Ascendance of American Math- 2008 Annual Survey of the Mathematical Sciences (First ematics at Harvard (Steve Batterson), 916 Report, Part II), (Polly Phipps, James W. Maxwell, and Book Review: The Princeton Companion to Mathematics Colleen Rose), 388 (Bryan Birch, Simon Donaldson, Gil Kalai, Richard Ken- 2008 Annual Survey of the Mathematical Sciences in the yon, Angus Macintyre), 1276 United States (Second Report) (and Doctoral Degrees Climate Change and the Mathematics of Transport in Sea Conferred 2007–2008, Supplementary List), (Polly Ice (Kenneth M. Golden), 562 Phipps, James W. Maxwell, and Colleen Rose), 828 Communities in Networks (Mason A. Porter, Jukka-Pekka 2009 AMS-SIAM Birkhoff Prize, 492 Onnela, and Peter J. Mucha), 1082 2009 Award for an Exemplary Program or Achievement in Connected Sets and the AMS, 1901–1921 (David E. Zita- a Mathematics Department, 632 relli), 450 2009 Cole Prize in Algebra, 494 1504 NOTICES OF THE AMS VOLUME 56, NUMBER 11 2009 Index 2009 Conant Prize, 500 WHAT IS…a Rota-Baxter Algebra? (Li Guo), 1436 2009 JPBM Communications Award, 630 WHAT IS…the Schwarzian Derivative? (Valentin Ovsienko 2009 Morgan Prize, 502 and Sergei Tabachnikov), 34 2009 Satter Prize, 496 WHAT IS…a Skein Module? (W. B. Raymond Lickorish), 240 2009 Steele Prizes, 488 WHAT IS…Stanley Depth? (M. R. Pournaki, S. A. Seyed 2009 Whiteman Prize, 498 Fakhari, M. Tousi, and S. Yassemi), 1106 About the Cover: Representations of U (n ), 915 What Is New in LATEX? I. Breaking Free (G. Grätzer), 52 AIM Workshops: The Moderated Discussion Session (David What Is New in LATEX? II. TEX Implementations, Evolution W. Farmer and Sally Koutsoliotas), 1447 or Revolution? (G. Grätzer), 627 Ask Professor Nescio, 250, 732, 958 What Is New in LATEX III. Formatting References (G. AWM Awards Given in Washington, DC, 636 Grätzer), 954 (A) Celebration of Women in Mathematics at MIT, (Margaret Why Publish Mathematics? (Klaus Peters), 819 A. M. Murray), 42 Changing Faces: The Mistaken Portrait of Legendre (Peter Authors Duren), 1440 Acker, Kathleen Ambruso, 1072 (A) Clicker Approach to Teaching Calculus (Martina Bode, Ahmed, E., 343 Denise Drane, Yifat Ben-David Kolikant, and Mary Alderson, David, 586 Schuller), 253 Artmann, Benno, 1105 Donald McClure Named AMS Executive Director (Allyn
Recommended publications
  • CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics
    CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics, Princeton University, Princeton, NJ June 1980 M.A. Mathematics, Princeton University, Princeton, NJ June 1977 B.S. Mathematics, M.I.T., Cambridge, MA June 1976 Ph.D. Advisor William P. Thurston POSITIONS 1980-1981 NSF Postdoctoral Fellow, Harvard University 1981-1983 Benjamin Pierce Assistant Professor, Harvard University 1983-1986 Assistant Professor, University of Pennsylvania 1986-1988 Associate Professor, California Institute of Technology 1988-2001 Professor of Mathematics, California Institute of Technology 2001- Professor of Mathematics, Princeton University 2012-2019 Chair, Department of Mathematics, Princeton University 2009- Hughes-Rogers Professor of Mathematics, Princeton University VISITING POSITIONS 1982-1983 Member, Institute for Advanced Study, Princeton, NJ 1984-1985 Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA 1985-1986 Member, IHES, France Fall 1989 Member, Institute for Advanced Study, Princeton, NJ Spring 1993 Visiting Fellow, Mathematics Institute University of Warwick, Warwick England June 1994 Professor Invité, Université Paul Sabatier, Toulouse France 1996-1997 Research Professor, MSRI, Berkeley, CA August 1998 Member, Morningside Research Center, Beijing China Spring 2004 Visitor, Institute for Advanced Study, Princeton, NJ Spring 2007 Member, Institute for Advanced Study, Princeton, NJ 2015-2016 Member, Institute for Advanced Study, Princeton, NJ Fall 2019 Visitor, Mathematical Institute, University of Oxford Spring 2020
    [Show full text]
  • LMS – EPSRC Durham Symposium
    LMS – EPSRC Durham Symposium Anthony Byrne Grants and Membership Administrator 12th July 2016, Durham The work of the LMS for mathematics The charitable aims of the Society: Funding the advancement of mathematical knowledge Encouraging mathematical research and collaboration ’, George Legendre Celebrating mathematical 30 Pieces achievements Publishing and disseminating mathematical knowledge Advancing and promoting mathematics The attendees of the Young Researchers in Mathematics Conference 2015, held at Oxford Historical Moments of the London Mathematical Society 1865 Foundation of LMS at University College London George Campbell De Morgan organised the first meeting, and his father, Augustus De Morgan became the 1st President 1865 First minute book list of the 27 original members 1866 LMS moves to Old Burlington House, Piccadilly J.J. Sylvester, 2nd President of the Society. 1866 Julius Plûcker Thomas Hirst Plûcker Collection of boxwood models of quartic surfaces given to Thomas Archer Hirst, Vice- President of LMS, and donated to the Society 1870 Move to Asiatic Society, 22 Albemarle Street William Spottiswoode, President 1874 Donation of £1,000 from John William Strutt (Lord Rayleigh) Generous donation enabled the Society to publish volumes of the Proceedings of the London Mathematical Society. J.W. Strutt (Lord Rayleigh), LMS President 1876-78 1881 First women members Charlotte Angas Scott and Christine Ladd 1884 First De Morgan medal awarded to Arthur Cayley 1885 Sophie Bryant First woman to have a paper published in LMS Proceedings 1916 Return to Burlington House the home of LMS until 1998 1937 ACE ’s Automatic Turing LMS Proceedings, 1937 Computing Engine, published Alan Turing’s first paper 1950 On Computable Numbers 1947 Death of G.H.
    [Show full text]
  • 336737 1 En Bookfrontmatter 1..24
    Universitext Universitext Series editors Sheldon Axler San Francisco State University Carles Casacuberta Universitat de Barcelona Angus MacIntyre Queen Mary University of London Kenneth Ribet University of California, Berkeley Claude Sabbah École polytechnique, CNRS, Université Paris-Saclay, Palaiseau Endre Süli University of Oxford Wojbor A. Woyczyński Case Western Reserve University Universitext is a series of textbooks that presents material from a wide variety of mathematical disciplines at master’s level and beyond. The books, often well class-tested by their author, may have an informal, personal even experimental approach to their subject matter. Some of the most successful and established books in the series have evolved through several editions, always following the evolution of teaching curricula, into very polished texts. Thus as research topics trickle down into graduate-level teaching, first textbooks written for new, cutting-edge courses may make their way into Universitext. More information about this series at http://www.springer.com/series/223 W. Frank Moore • Mark Rogers Sean Sather-Wagstaff Monomial Ideals and Their Decompositions 123 W. Frank Moore Sean Sather-Wagstaff Department of Mathematics School of Mathematical and Statistical Wake Forest University Sciences Winston-Salem, NC, USA Clemson University Clemson, SC, USA Mark Rogers Department of Mathematics Missouri State University Springfield, MO, USA ISSN 0172-5939 ISSN 2191-6675 (electronic) Universitext ISBN 978-3-319-96874-2 ISBN 978-3-319-96876-6 (eBook) https://doi.org/10.1007/978-3-319-96876-6 Library of Congress Control Number: 2018948828 Mathematics Subject Classification (2010): 13-01, 05E40, 13-04, 13F20, 13F55 © Springer Nature Switzerland AG 2018 This work is subject to copyright.
    [Show full text]
  • After Ramanujan Left Us– a Stock-Taking Exercise S
    Ref: after-ramanujanls.tex Ver. Ref.: : 20200426a After Ramanujan left us– a stock-taking exercise S. Parthasarathy [email protected] 1 Remembering a giant This article is a sequel to my article on Ramanujan [14]. April 2020 will mark the death centenary of the legendary Indian mathe- matician – Srinivasa Ramanujan (22 December 1887 – 26 April 1920). There will be celebrations of course, but one way to honour Ramanujan would be to do some introspection and stock-taking. This is a short survey of notable achievements and contributions to mathematics by Indian institutions and by Indian mathematicians (born in India) and in the last hundred years since Ramanujan left us. It would be highly unfair to compare the achievements of an individual, Ramanujan, during his short life span (32 years), with the achievements of an entire nation over a century. We should also consider the context in which Ramanujan lived, and the most unfavourable and discouraging situation in which he grew up. We will still attempt a stock-taking, to record how far we have moved after Ramanujan left us. Note : The table below should not be used to compare the relative impor- tance or significance of the contributions listed there. It is impossible to list out the entire galaxy of mathematicians for a whole century. The table below may seem incomplete and may contain some inad- vertant errors. If you notice any major lacunae or omissions, or if you have any suggestions, please let me know at [email protected]. 1 April 1920 – April 2020 Year Name/instit. Topic Recognition 1 1949 Dattatreya Kaprekar constant, Ramchandra Kaprekar number Kaprekar [1] [2] 2 1968 P.C.
    [Show full text]
  • Spring 2014 Fine Letters
    Spring 2014 Issue 3 Department of Mathematics Department of Mathematics Princeton University Fine Hall, Washington Rd. Princeton, NJ 08544 Department Chair’s letter The department is continuing its period of Assistant to the Chair and to the Depart- transition and renewal. Although long- ment Manager, and Will Crow as Faculty The Wolf time faculty members John Conway and Assistant. The uniform opinion of the Ed Nelson became emeriti last July, we faculty and staff is that we made great Prize for look forward to many years of Ed being choices. Peter amongst us and for John continuing to hold Among major faculty honors Alice Chang Sarnak court in his “office” in the nook across from became a member of the Academia Sinica, Professor Peter Sarnak will be awarded this the common room. We are extremely Elliott Lieb became a Foreign Member of year’s Wolf Prize in Mathematics. delighted that Fernando Coda Marques and the Royal Society, John Mather won the The prize is awarded annually by the Wolf Assaf Naor (last Fall’s Minerva Lecturer) Brouwer Prize, Sophie Morel won the in- Foundation in the fields of agriculture, will be joining us as full professors in augural AWM-Microsoft Research prize in chemistry, mathematics, medicine, physics, Alumni , faculty, students, friends, connect with us, write to us at September. Algebra and Number Theory, Peter Sarnak and the arts. The award will be presented Our finishing graduate students did very won the Wolf Prize, and Yasha Sinai the by Israeli President Shimon Peres on June [email protected] well on the job market with four win- Abel Prize.
    [Show full text]
  • Floer Homology, Gauge Theory, and Low-Dimensional Topology
    Floer Homology, Gauge Theory, and Low-Dimensional Topology Clay Mathematics Proceedings Volume 5 Floer Homology, Gauge Theory, and Low-Dimensional Topology Proceedings of the Clay Mathematics Institute 2004 Summer School Alfréd Rényi Institute of Mathematics Budapest, Hungary June 5–26, 2004 David A. Ellwood Peter S. Ozsváth András I. Stipsicz Zoltán Szabó Editors American Mathematical Society Clay Mathematics Institute 2000 Mathematics Subject Classification. Primary 57R17, 57R55, 57R57, 57R58, 53D05, 53D40, 57M27, 14J26. The cover illustrates a Kinoshita-Terasaka knot (a knot with trivial Alexander polyno- mial), and two Kauffman states. These states represent the two generators of the Heegaard Floer homology of the knot in its topmost filtration level. The fact that these elements are homologically non-trivial can be used to show that the Seifert genus of this knot is two, a result first proved by David Gabai. Library of Congress Cataloging-in-Publication Data Clay Mathematics Institute. Summer School (2004 : Budapest, Hungary) Floer homology, gauge theory, and low-dimensional topology : proceedings of the Clay Mathe- matics Institute 2004 Summer School, Alfr´ed R´enyi Institute of Mathematics, Budapest, Hungary, June 5–26, 2004 / David A. Ellwood ...[et al.], editors. p. cm. — (Clay mathematics proceedings, ISSN 1534-6455 ; v. 5) ISBN 0-8218-3845-8 (alk. paper) 1. Low-dimensional topology—Congresses. 2. Symplectic geometry—Congresses. 3. Homol- ogy theory—Congresses. 4. Gauge fields (Physics)—Congresses. I. Ellwood, D. (David), 1966– II. Title. III. Series. QA612.14.C55 2004 514.22—dc22 2006042815 Copying and reprinting. Material in this book may be reproduced by any means for educa- tional and scientific purposes without fee or permission with the exception of reproduction by ser- vices that collect fees for delivery of documents and provided that the customary acknowledgment of the source is given.
    [Show full text]
  • Program of the Sessions San Diego, California, January 9–12, 2013
    Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes.
    [Show full text]
  • Mathematical Sciences 2016
    Infosys Prize Mathematical Sciences 2016 Number theory is the branch Ancient civilizations developed intricate of mathematics that deals with methods of counting. Sumerians, Mayans properties of whole numbers or and Greeks all show evidence of elaborate positive integers. mathematical calculations. Akshay Venkatesh Professor, Department of Mathematics, Stanford University, USA • B.Sc. in Mathematics from The University of Western Australia, Perth, Australia • Ph.D. in Mathematics from Princeton University, USA Numbers are Prof. Akshay Venkatesh is a very broad mathematician everything who has worked at the highest level in number theory, arithmetic geometry, topology, automorphic forms and Number theorists are particularly interested in ergodic theory. He is almost unique in his ability to fuse hyperbolic ‘tilings’. These ‘tiles’ carry a great deal of information that are significant in algebraic and analytic ideas to solve concrete and hard number theory. For example they are very problems in number theory. In addition, Venkatesh’s work on the interested in the characteristic frequencies of cohomology of arithmetic groups the tiles. These are the frequencies the tiles studies the shape of these tiles and would vibrate at, if they were used as drums. “I think there’s a lot of math in the world that’s not connects it with other areas of math. at university. Pure math is only one part of math but math is used in a lot of other subjects and I think that’s just as interesting. So learn as much as you can, about all the subjects around math and then see what strikes you as the most interesting.” Prof.
    [Show full text]
  • 2004 Research Fellows
    I Institute News 2004 Research Fellows On February 23, 2004, the Clay Mathematics Institute announced the appointment of four Research Fellows: Ciprian Manolescu and Maryam Mirzakhani of Harvard University, and András Vasy and Akshay Venkatesh of MIT. These outstanding mathematicians were selected for their research achievements and their potential to make signifi cant future contributions. Ci ian Man lescu 1 a nati e R mania is c m letin his h at Ha a ni Ciprian Manolescu pr o (b. 978), v of o , o p g P .D. rv rd U - versity under the direction of Peter B. Kronheimer. In his undergraduate thesis he gave an elegant new construction of Seiberg-Witten Floer homology, and in his Ph.D. thesis he gave a remarkable gluing formula for the Bauer-Furuta invariants of four-manifolds. His research interests span the areas of gauge theory, low-dimensional topology, symplectic geometry and algebraic topology. Manolescu will begin his four-year appointment as a Research Fellow at Princeton University beginning July 1, 2004. Maryam Mirzakhani Maryam Mirzakhani (b. 1977), a native of Iran, is completing her Ph.D. at Harvard under the direction of Curtis T. McMullen. In her thesis she showed how to compute the Weil- Petersson volume of the moduli space of bordered Riemann surfaces. Her research interests include Teichmuller theory, hyperbolic geometry, ergodic theory and symplectic geometry. As a high school student, Mirzakhani entered and won the International Mathematical Olympiad on two occasions (in 1994 and 1995). Mirzakhani will conduct her research at Princeton University at the start of her four-year appointment as a Research Fellow beginning July 1, 2004.
    [Show full text]
  • Man and Machine Thinking About the Smooth 4-Dimensional Poincaré
    Quantum Topology 1 (2010), xxx{xxx Quantum Topology c European Mathematical Society Man and machine thinking about the smooth 4-dimensional Poincar´econjecture. Michael Freedman, Robert Gompf, Scott Morrison and Kevin Walker Mathematics Subject Classification (2000).57R60 ; 57N13; 57M25 Keywords.Property R, Cappell-Shaneson spheres, Khovanov homology, s-invariant, Poincar´e conjecture Abstract. While topologists have had possession of possible counterexamples to the smooth 4-dimensional Poincar´econjecture (SPC4) for over 30 years, until recently no invariant has existed which could potentially distinguish these examples from the standard 4-sphere. Rasmussen's s- invariant, a slice obstruction within the general framework of Khovanov homology, changes this state of affairs. We studied a class of knots K for which nonzero s(K) would yield a counterexample to SPC4. Computations are extremely costly and we had only completed two tests for those K, with the computations showing that s was 0, when a landmark posting of Akbulut [3] altered the terrain. His posting, appearing only six days after our initial posting, proved that the family of \Cappell{Shaneson" homotopy spheres that we had geared up to study were in fact all standard. The method we describe remains viable but will have to be applied to other examples. Akbulut's work makes SPC4 seem more plausible, and in another section of this paper we explain that SPC4 is equivalent to an appropriate generalization of Property R (\in S3, only an unknot can yield S1 × S2 under surgery"). We hope that this observation, and the rich relations between Property R and ideas such as taut foliations, contact geometry, and Heegaard Floer homology, will encourage 3-manifold topologists to look at SPC4.
    [Show full text]
  • Mathematics People
    Mathematics People Akshay Venkatesh was born in New Delhi in 1981 but Venkatesh Awarded 2008 was raised in Perth, Australia. He showed his brillance in SASTRA Ramanujan Prize mathematics very early and was awarded the Woods Me- morial Prize in 1997, when he finished his undergraduate Akshay Venkatesh of Stanford University has been studies at the University of Western Australia. He did his awarded the 2008 SASTRA Ramanujan Prize. This annual doctoral studies at Princeton under Peter Sarnak, complet- prize is given for outstanding contributions to areas of ing his Ph.D. in 2002. He was C.L.E. Moore Instructor at the mathematics influenced by the Indian genius Srinivasa Massachusetts Institute of Technology for two years and Ramanujan. The age limit for the prize has been set at was selected as a Clay Research Fellow in 2004. He served thirty-two, because Ramanujan achieved so much in his as associate professor at the Courant Institute of Math- brief life of thirty-two years. The prize carries a cash award ematical Sciences at New York University and received the of US$10,000. Salem Prize and a Packard Fellowship in 2007. He is now professor of mathematics at Stanford University. The 2008 SASTRA Prize Citation reads as follows: “Ak- The 2008 SASTRA Ramanujan Prize Committee con- shay Venkatesh is awarded the 2008 SASTRA Ramanujan sisted of Krishnaswami Alladi (chair), Manjul Bhargava, Prize for his phenomenal contributions to a wide variety Bruce Berndt, Jonathan Borwein, Stephen Milne, Kannan of areas in mathematics, including number theory, auto- Soundararajan, and Michel Waldschmidt. Previous winners morphic forms, representation theory, locally symmetric of the SASTRA Ramanujan Prize are Manjul Bhargava and spaces, and ergodic theory, by himself and in collabora- Kannan Soundararajan (2005), Terence Tao (2006), and tion with several mathematicians.
    [Show full text]
  • Mom Technology and Volumes of Hyperbolic 3-Manifolds 3
    1 MOM TECHNOLOGY AND VOLUMES OF HYPERBOLIC 3-MANIFOLDS DAVID GABAI, ROBERT MEYERHOFF, AND PETER MILLEY 0. Introduction This paper is the first in a series whose goal is to understand the structure of low-volume complete orientable hyperbolic 3-manifolds. Here we introduce Mom technology and enumerate the hyperbolic Mom-n manifolds for n ≤ 4. Our long- term goal is to show that all low-volume closed and cusped hyperbolic 3-manifolds are obtained by filling a hyperbolic Mom-n manifold, n ≤ 4 and to enumerate the low-volume manifolds obtained by filling such a Mom-n. William Thurston has long promoted the idea that volume is a good measure of the complexity of a hyperbolic 3-manifold (see, for example, [Th1] page 6.48). Among known low-volume manifolds, Jeff Weeks ([We]) and independently Sergei Matveev and Anatoly Fomenko ([MF]) have observed that there is a close con- nection between the volume of closed hyperbolic 3-manifolds and combinatorial complexity. One goal of this project is to explain this phenomenon, which is sum- marized by the following: Hyperbolic Complexity Conjecture 0.1. (Thurston, Weeks, Matveev-Fomenko) The complete low-volume hyperbolic 3-manifolds can be obtained by filling cusped hyperbolic 3-manifolds of small topological complexity. Remark 0.2. Part of the challenge of this conjecture is to clarify the undefined adjectives low and small. In the late 1970’s, Troels Jorgensen proved that for any positive constant C there is a finite collection of cusped hyperbolic 3-manifolds from which all complete hyperbolic 3-manifolds of volume less than or equal to C can be obtained by Dehn filling.
    [Show full text]