Notices of the American Mathematical Society 35 Monticello Place, Pawtucket, RI 02861 USA American Mathematical Society Distribution Center
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ISSN 0002-9920 Notices of the American Mathematical Society 35 Monticello Place, Pawtucket, RI 02861 USA Society Distribution Center American Mathematical of the American Mathematical Society April 2011 Volume 58, Number 4 Deformations of Bordered Surfaces and Convex Polytopes page 530 Taking Math to Heart: Mathematical Challenges in Cardiac Electrophysiology page 542 A Brief but Historic Article of Siegel page 558 Remembering Paul Malliavin page 568 Volume 58, Number 4, Pages 521–648, April 2011 About the Cover: Collective behavior and individual rules (see page 567) Trim: 8.25" x 10.75" 128 pages on 40 lb Velocity • Spine: 1/8" • Print Cover on 9pt Carolina “SORRY , THAT ’S NOT CORRECT .” “THAT ’S CORRECT .” TWO ONLINE HOMEWORK SYstEMS WENT HEAD TO HEAD. ONLY ONE MADE THE GRADE. What good is an online homework system if it can’t recognize right from wrong? Our sentiments exactly. Which is why we decided to compare WebAssign with the other leading homework system for math. The results were surprising. The other system failed to recognize correct answers to free response questions time and time again. That means students who were actually answering correctly were receiving failing grades. WebAssign, on the other hand, was designed to recognize and accept more iterations of a correct answer. In other words, WebAssign grades a lot more like a living, breathing professor and a lot less like, well, that other system. So, for those of you who thought that other system was the right answer for math, we respectfully say, “Sorry, that’s not correct.” 800.955.8275 webassign.net/math WA ad Notices.indd 1 10/1/10 11:57:36 AM QUANTITATIVE FINANCE RENAISSANCE TECHNOLOGIES, a quantitatively based financial management firm, has openings for research and programming positions at its Long Island, NY research center. Research & Programming Opportunities We are looking for highly trained professionals who are interested in applying advanced methods to the modeling of global financial markets. You would be joining a group of roughly one hundred fifty people, half of whom have Ph.D.s in scientific disciplines. We have a spectrum of opportunities for individuals with the right scientific and computing skills. Experience in finance is not required. The ideal research candidate will have: • A Ph.D. in Computer Science, Mathematics, Physics, Statistics, or a related discipline • A demonstrated capacity to do first-class research • Computer programming skills • An intense interest in applying quantitative analysis to solve difficult problems The ideal programming candidate will have: • Strong analytical and programming skills • An In depth knowledge of software development in a C++ Unix environment Compensation is comprised of a base salary and a bonus tied to company-wide performance. Send a copy of your resume to: [email protected] No telephone inquiries. An equal opportunity employer. 8QUDYHOLQJ &RPSOH[6\VWHPV We are surrounded by complex systems. Familiar examples include power grids, transportation systems, financial markets, the Internet, and structures underlying everything from the environment to the cells in our bodies. Mathematics and statistics can guide us in understanding these systems, enhancing their reliability, and improving their performance. Mathematical models can help uncover common principles that underlie the spontaneous organization, called emergent behavior, of flocks of birds, schools of fish, self-assembling materials, social networks, and other systems made up of interacting agents. M ATHEMATICS AWARENESS MONTH April 2011 www.mathaware.org SPONSORED BY THE JOINT POLICY BOARD FOR MATHEMATICS American Mathematical Society American Statistical Association Mathematical Association of America Society for Industrial and Applied Mathematics Image 1: Starlings 2, Tomas Jensen. From istock.com. Image 2: Electricity 1, Annemiek van der Kuil. Image 3: Hurricane Katrina, NASA. Image 4: A voltage-gated potassium channel (Kv1.2) visualized with the VMD software. Courtesy of the Theoretical and Computational Biophysics group, NIH Resource for Macromolecular Modeling and Bioinformatics, Beckman Institute, University of Illinois at Urbana-Champaign. Image 5: Bangkok Skytrain Sunset, David Iliff. Wikimedia Commons. GNU Free Documentation License. Background image: The Product Space. Image courtesy of Cesar Hidalgo, Center for International Development, Kennedy School of Government, Harvard University. Notices of the American Mathematical Society April 2011 Communications 528 A Photographic Look at the Joint Mathematics 550 Meetings, New Orleans, 2011 550 3N Colored Points in a Plane Günter M. Ziegler 567 Collective Behavior and Individual Rules (About the Cover) Bill Casselman 568 558 580 WHAT IS...a G2-Manifold? Spiro Karigiannis Features 588 Doceamus: Making Mathematics Work for The theme of Mathematics Awareness Month for 2011 is “Unrav- Minorities eling Complex Systems”. As part of this theme, the Notices this Manuel P. Berriozábal month includes an article about mathematics and cardiology. The issue also includes an article about small divisors in dynami- 590 Mathematicians and Poets Cai Tianxin cal systems (an idea also consonant with complex systems). The mathematical topics are rounded out with an unusual treatment 593 2011 Steele Prizes of Riemann surfaces. Finally, we offer recollections of noted mathematician Paul Malliavin. 597 2011 Conant Prize —Steven G. Krantz, Editor 599 2011 Morgan Prize 601 2011 Satter Prize 530 Deformations of Bordered Surfaces and 603 2011 Bôcher Prize Convex Polytopes 606 2011 Doob Prize Satyan L. Devadoss, Timothy Heath, and Wasin Vipismakul 608 2011 Eisenbud Prize 542 Taking Math to Heart: Mathematical 610 2011 Cole Prize in Number Theory Challenges in Cardiac Electrophysiology Commentary John W. Cain 525 Opinion: Thriving with the 562 A Brief but Historic Article of Siegel NSF Rodrigo A. Pérez Sastry G. Pantula 568 Remembering Paul Malliavin 527 Letters to the Editor Daniel W. Stroock, Marc Yor, Jean-Pierre Kahane, 582 Nonsense on Stilts— Richard Gundy, Leonard Gross, Michèle Vergne A Book Review Reviewed by Olle Häggström 585 To Complexity and Beyond!—A Book Review Reviewed by Dan Rockmore Notices Departments of the American Mathematical Society About the Cover . 567 EDITOR: Steven G. Krantz Mathematics People . 612 ASSOCIATE EDITORS: Mok and Phong Receive 2009 Bergman Prize, Anantharaman Awarded Krishnaswami Alladi, David Bailey, Jonathan Borwein, 2010 Salem Prize, Andrews Awarded 2010 Sacks Prize, AAAS Fellows Susanne C. Brenner, Bill Casselman (Graphics Editor), Robert J. Daverman, Susan Friedlander, Robion Kirby, for 2011, Cora Sadosky (1940–2010). Rafe Mazzeo, Harold Parks, Lisette de Pillis, Peter Sarnak, Mark Saul, Edward Spitznagel, John Swallow Mathematics Opportunities . 615 SENIOR WRITER and DEPUTY EDITOR: Schauder Medal Award Established; DMS Workforce Program in the Allyn Jackson Mathematical Sciences; Call for Proposals for 2012 NSF-CBMS Regional MANAGING EDITOR: Sandra Frost Conferences; NSF-CBMS Regional Conferences, 2011; AWM Gweneth CONTRIBUTING WRITER: Elaine Kehoe Humphreys Award; Project NExT: New Experiences in Teaching. CONTRIBUTING EDITOR: Randi D. Ruden For Your Information . 617 EDITORIAL ASSISTANT: David M. Collins PRODUCTION: Kyle Antonevich, Anna Hattoy, Mathematics Awareness Month—April 2011, Google Donation to Teresa Levy, Mary Medeiros, Stephen Moye, Erin Support IMO, Corrections. Murphy, Lori Nero, Karen Ouellette, Donna Salter, Deborah Smith, Peter Sykes, Patricia Zinni Reference and Book List . 618 ADVERTISING SALES: Anne Newcomb SUBSCRIPTION INFORMATION: Subscription prices Mathematics Calendar . 624 for Volume 58 (2011) are US$510 list; US$408 insti- tutional member; US$306 individual member; US$459 New Publications Offered by the AMS . 630 corporate member. (The subscription price for mem- bers is included in the annual dues.) A late charge of Classified Advertisements . 637 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Add for postage: Surface Meetings and Conferences of the AMS . 639 delivery outside the United States and India—US$27; in India—US$40; expedited delivery to destinations Meetings and Conferences Table of Contents . 647 in North America—US$35; elsewhere—US$120. Subscriptions and orders for AMS publications should be addressed to the American Mathematical Society, P.O. Box 845904, Boston, MA 02284-5904 USA. All orders must be prepaid. ADVERTISING: Notices publishes situations wanted and classified advertising, and display advertising for publishers and academic or scientific organizations. Advertising material or questions may be sent to [email protected] (classified ads) or notices-ads@ From the ams.org (display ads). SUBMISSIONS: Articles and letters may be sent to the editor by email at [email protected], by AMS Secretary fax at 314-935-6839, or by postal mail at Department of Mathematics, Washington University in St. Louis, Campus Box 1146, One Brookings Drive, St. Louis, MO Call for Nominations for 2012 Leroy P. Steele Prizes . 621 63130. Email is preferred. Correspondence with the managing editor may be sent to [email protected]. For more information, see the section “Reference and Call for Nominations for Position of AMS Secretary . 622 Book List”. NOTICES ON THE AMS WEBSITE: Supported by the Call for Nominations for AMS Award for Mathematics Programs AMS membership, most of this publication is freely That Make a Difference . 623 available electronically