Joint Mathematics Meetings January 13-16, 2010
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2006 Annual Report
Contents Clay Mathematics Institute 2006 James A. Carlson Letter from the President 2 Recognizing Achievement Fields Medal Winner Terence Tao 3 Persi Diaconis Mathematics & Magic Tricks 4 Annual Meeting Clay Lectures at Cambridge University 6 Researchers, Workshops & Conferences Summary of 2006 Research Activities 8 Profile Interview with Research Fellow Ben Green 10 Davar Khoshnevisan Normal Numbers are Normal 15 Feature Article CMI—Göttingen Library Project: 16 Eugene Chislenko The Felix Klein Protocols Digitized The Klein Protokolle 18 Summer School Arithmetic Geometry at the Mathematisches Institut, Göttingen, Germany 22 Program Overview The Ross Program at Ohio State University 24 PROMYS at Boston University Institute News Awards & Honors 26 Deadlines Nominations, Proposals and Applications 32 Publications Selected Articles by Research Fellows 33 Books & Videos Activities 2007 Institute Calendar 36 2006 Another major change this year concerns the editorial board for the Clay Mathematics Institute Monograph Series, published jointly with the American Mathematical Society. Simon Donaldson and Andrew Wiles will serve as editors-in-chief, while I will serve as managing editor. Associate editors are Brian Conrad, Ingrid Daubechies, Charles Fefferman, János Kollár, Andrei Okounkov, David Morrison, Cliff Taubes, Peter Ozsváth, and Karen Smith. The Monograph Series publishes Letter from the president selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. The next volume in the series will be Ricci Flow and the Poincaré Conjecture, by John Morgan and Gang Tian. Their book will appear in the summer of 2007. In related publishing news, the Institute has had the complete record of the Göttingen seminars of Felix Klein, 1872–1912, digitized and made available on James Carlson. -
1 Lenore Blum, Matemática Computacional, Algoritmos, Lógica, Geometría Algebraica
MATEMATICOS ACTUALES Lenore Blum, Matemática computacional, Algoritmos, Lógica, Geometría algebraica. Debemos dejar claro desde el comienzo de esta biografía de Lenore Blum que Blum es su apellido de casada, que solo tomó después de casarse con Manuel Blum, que también era matemático. Sin embargo, para evitar confusiones, nos referiremos a ella como Blum a lo largo de este artículo. Los padres de Lenore eran Irving y Rose y, además de una hermana, Harriet, que era dos años menor que Lenore, ella era parte de una extensa familia judía con varias tías y tíos. Su madre Rose era maestra de ciencias de secundaria en Nueva York. Lenore asistió a una escuela pública en la ciudad de Nueva York hasta que tuvo nueve años cuando su familia se mudó a América del Sur. Su padre Irving trabajaba en el negocio de importación/exportación y él y su esposa se instalaron en Venezuela con Lenore y Harriet. Durante su primer año en Caracas, Lenore no asistió a la escuela, sin embargo su madre le enseñó. Básicamente, la familia era demasiado pobre para poder pagar las tasas escolares. Al cabo de un año, Rose ocupó un puesto docente en la Escuela Americana E. Campo Alegre, en Caracas, y esto proporcionó suficiente dinero para permitir que Lenore asistiera a la escuela secundaria y luego a la escuela secundaria en Caracas. Mientras estaba en Caracas, conoció a Manuel Blum, quien también era de una familia judía. Manuel salió de Caracas mientras Lenore todavía estaba allí en la escuela y se fue a los Estados Unidos donde ingresó como estudiante en el Instituto de Tecnología de Massachusetts. -
The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
HHMC 2017 (2017 Workshop on Hybrid Human-Machine Computing)
CRonEM CRonEM HHMC 2017 (2017 Workshop on Hybrid Human-Machine Computing) 20 & 21 September 2017 Treetops, Wates House, University of Surrey Guildford, Surrey, UK Programme INTRODUCTION KEYNOTE 1 The 2017 Workshop on Hybrid Human-Machine Computing (HHMC 2017) is 2-day workshop, to be held Title: Password Generation, an Example of Human Computation at the University of Surrey, Guildford, UK, on 20 and 21 September, 2017. It is a workshop co-funded by Abstract: University of Surrey’s Institute for Advanced Studies (IAS), a number of other organizations and related research projects. A password schema is an algorithm for humans - working in their heads - without paper and pencil - to transform challenges (typically website names) into responses (passwords). When we talk about “computing” we often mean computers do something (for humans), but due to the more and more blurred boundary between humans and computers, this old paradigm of “computing” has To start this talk, the speaker will ask for 2 or 3 volunteers, whisper instructions in their ears, then have them changed drastically, e.g., in human computation humans do all or part of the computing (for machines), transform audience-proposed challenges (like AMAZON and FACEBOOK) into passwords. in computer-supported cooperative work (CSCW) humans are working together with assistance from The passwords will look random. The audience will be challenged to guess properties of the passwords but computers to conduct cooperative work, in social computing and computer-mediated communication even the simple schema the speaker whispered to the volunteers will produce passwords that look random. people’s social behaviors are intermingled with computer systems so computing happens with humans and These passwords can be easily made so strong that they pass virtually all password tests, like passwordmeter. -
Mathematical Association of America Ohio Section
Program of Activities For the 90 th Annual Meeting of the Mathematical Association of America Ohio Section Spring 2006 The University of Akron Akron, Ohio March 31-April 1, 2006 MAA Ohio Section Program Friday, March 31, 2006 8:00—Noon NExT Workshop College of Arts and Sciences Building (CAS) Room 134 Noon—4:30 Registration Student Union, Second Floor, Theatre Area Book exhibits Student Union, Second Floor, Atrium Noon—1:20 Student problem-solving team competition CAS 107 12:15—1:15 Committee Meetings CONCUR Student Union, 308 CONSACT Student Union, 310 CONSTUM Student Union, 312 CONTEAL Student Union, 314 Program Committee Student Union, 316 1:30—1:45 Welcome and Announcements Student Union Theatre 1:45—2:45 Invited address: Student Union Theatre “Going Up and Down” Georgia Benkart, University of Wisconsin – Madison 2:45—3:10 Break & refreshments Lobby Area, Student Union 3:10—4:05 Retiring President’s address: Student Union Theatre “Some Thoughts on Rings and Things” Dwight Olson, John Carroll University 4:20—6:15 Contributed p aper sessions College of Arts and Sciences Bldg (CAS) 4:20—6:15 Special session on Applied Mathematics CAS 4:20—6:15 Executive Committee Meeting CAS 124 Conference Room 6:15—6:45 Social Time Martin University Center (Fir Street) 6:45—8:00 Banquet Martin University Center (Fir Street) 6:15—8:00 Student Pizza Party CAS Atrium and nearby rooms 8:00—8:45 After-dinner talk: Martin University Center (Fir Street) “Developing an undergraduate research program” Tom Price, The University of Akron 8:45 Business meeting -
President's Report
Newsletter VOLUME 43, NO. 6 • NOVEMBER–DECEMBER 2013 PRESIDENT’S REPORT As usual, summer flew by all too quickly. Fall term is now in full swing, and AWM is buzzing with activity. Advisory Board. The big news this fall is the initiation of an AWM Advisory Board. The Advisory Board, first envisioned under Georgia Benkart’s presidency, con- The purpose of the Association for Women in Mathematics is sists of a diverse group of individuals in mathematics and related disciplines with distinguished careers in academia, industry, or government. Through their insights, • to encourage women and girls to breadth of experience, and connections with broad segments of the mathematical study and to have active careers in the mathematical sciences, and community, the Board will seek to increase the effectiveness of AWM, help with fund- • to promote equal opportunity and raising, and contribute to a forward-looking vision for the organization. the equal treatment of women and Members of the Board were selected to represent a broad spectrum of academia girls in the mathematical sciences. and industry. Some have a long history with AWM, and others are new to the orga- nization; all are committed to forwarding our goals. We are pleased to welcome the following Board members: Mary Gray, Chair (American University) Jennifer Chayes (Microsoft Research) Nancy Koppel (Boston University) Irwin Kra (Stony Brook University) Joan Leitzel (University of New Hampshire, Ohio State University) Jill Mesirov (Broad Institute) Linda Ness (Applied Communication Sciences) Richard Schaar (Texas Instruments) IN THIS ISSUE Mary Spilker (Pfizer) Jessica Staddon (Google) 4 AWM Election 14 Benkart Named In addition, the President, Past President (or President Elect) and Executive Noether Lecturer Director of AWM are also members of the Board. -
Mathematisches Forschungsinstitut Oberwolfach Reflection Positivity
Mathematisches Forschungsinstitut Oberwolfach Report No. 55/2017 DOI: 10.4171/OWR/2017/55 Reflection Positivity Organised by Arthur Jaffe, Harvard Karl-Hermann Neeb, Erlangen Gestur Olafsson, Baton Rouge Benjamin Schlein, Z¨urich 26 November – 2 December 2017 Abstract. The main theme of the workshop was reflection positivity and its occurences in various areas of mathematics and physics, such as Representa- tion Theory, Quantum Field Theory, Noncommutative Geometry, Dynamical Systems, Analysis and Statistical Mechanics. Accordingly, the program was intrinsically interdisciplinary and included talks covering different aspects of reflection positivity. Mathematics Subject Classification (2010): 17B10, 22E65, 22E70, 81T08. Introduction by the Organisers The workshop on Reflection Positivity was organized by Arthur Jaffe (Cambridge, MA), Karl-Hermann Neeb (Erlangen), Gestur Olafsson´ (Baton Rouge) and Ben- jamin Schlein (Z¨urich) during the week November 27 to December 1, 2017. The meeting was attended by 53 participants from all over the world. It was organized around 24 lectures each of 50 minutes duration representing major recent advances or introducing to a specific aspect or application of reflection positivity. The meeting was exciting and highly successful. The quality of the lectures was outstanding. The exceptional atmosphere of the Oberwolfach Institute provided the optimal environment for bringing people from different areas together and to create an atmosphere of scientific interaction and cross-fertilization. In particular, people from different subcommunities exchanged ideas and this lead to new col- laborations that will probably stimulate progress in unexpected directions. 3264 Oberwolfach Report 55/2017 Reflection positivity (RP) emerged in the early 1970s in the work of Osterwalder and Schrader as one of their axioms for constructive quantum field theory ensuring the equivalence of their euclidean setup with Wightman fields. -
President's Report
AWM ASSOCIATION FOR WOMEN IN MATHE MATICS Volume 36, Number l NEWSLETTER March-April 2006 President's Report Hidden Help TheAWM election results are in, and it is a pleasure to welcome Cathy Kessel, who became President-Elect on February 1, and Dawn Lott, Alice Silverberg, Abigail Thompson, and Betsy Yanik, the new Members-at-Large of the Executive Committee. Also elected for a second term as Clerk is Maura Mast.AWM is also pleased to announce that appointed members BettyeAnne Case (Meetings Coordi nator), Holly Gaff (Web Editor) andAnne Leggett (Newsletter Editor) have agreed to be re-appointed, while Fern Hunt and Helen Moore have accepted an extension of their terms as Member-at-Large, to join continuing members Krystyna Kuperberg andAnn Tr enk in completing the enlarged Executive Committee. I look IN THIS ISSUE forward to working with this wonderful group of people during the coming year. 5 AWM ar the San Antonio In SanAntonio in January 2006, theAssociation for Women in Mathematics Joint Mathematics Meetings was, as usual, very much in evidence at the Joint Mathematics Meetings: from 22 Girls Just Want to Have Sums the outstanding mathematical presentations by women senior and junior, in the Noerher Lecture and the Workshop; through the Special Session on Learning Theory 24 Education Column thatAWM co-sponsored withAMS and MAA in conjunction with the Noether Lecture; to the two panel discussions thatAWM sponsored/co-sponsored.AWM 26 Book Review also ran two social events that were open to the whole community: a reception following the Gibbs lecture, with refreshments and music that was just right for 28 In Memoriam a networking event, and a lunch for Noether lecturer Ingrid Daubechies. -
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. -
2003 Newsletter
1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266338622235369317931800607667263544333890865959395829056 M e t r o M a t h 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274274663919320030599218174135966290435729003342952605956307381323286279434907632 N e w s l e t t e r Metropolitan New York Section of The Mathematical Association of America February 2003 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055 Bronx Brooklyn Columbia Dutchess Greene Manhattan Nassau Orange Putnam Queens Richmond Rockland Suffolk Sullivan Ulster Westchester 1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236242825706662361528657244226025250937096027870684620376986531051228499 A N N U A L M E E T I N G Saturday, 3 May 2003 9:00 AM − 5:00 PM LaGuardia Community College (CUNY) Long Island City, New York (Inquire Within for More Information) E L E C T I O N B A L L O T E N C L O S E D SECTION OFFICERS Section Governor Raymond N. Greenwell (516) 463-5573 (2002 – 2005) Hofstra University [email protected] Chair John (Jack) Winn (631) 420-2182 (2001 – 2003) Farmingdale (SUNY) [email protected] Chair-Elect Abraham S. Mantell (516) 572-8092 (2001 – 2003) Nassau Community College (SUNY) [email protected] Secretary Dan King (914) 395-2424 (2000 – 2003) -
AMS Council Minutes
American Mathematical Society Council Minutes Chicago, Illinois 24 April 2010 at noon Prepared 13 May 2010 Abstract The Council of the Society met at noon on Saturday, 24 April 2010, in the Chicago Room of the Chicago O’Hare Hilton Hotel, O’Hare International Airport, Chicago, IL, 60666.These are the minutes of that meeting. Although some items were treated in Executive Session, all actions taken are reported in these minutes. Council Minutes 24 April 2010 Page 5 I. MINUTES 1. Call to Order 1.1. Opening of the Meeting and Introductions AMS President George Andrews called the meeting to order promptly at noon, CDT, and presided throughout. He asked those present to introduce themselves. Other Council members present were: Alejandro Adem, Georgia Benkart, Sylvain E. Cappell, Ralph L. Cohen, Robert J. Daverman, John M. Franks, Eric M. Friedlander, Robert Guralnick, Richard Hain, Bryna Kra, William A. Massey, Frank Morgan, Jennifer Schultens, Chi-Wang Shu, Joseph H. Silverman, Ronald M. Solomon, Panagiotis E. Souganidis, Janet Talvacchia, Christophe Thiele, Michelle L. Wachs, Steven H. Weintraub, Sarah J. Witherspoon, and David Wright. Other interested parties and guests were: Sandy Golden (Administrative Assistant, AMS Secretary), Sheldon H. Katz (Chair, AMS Nominating Committee), Ellen Maycock (AMS Associate Executive Director), Donald McClure (AMS Executive Director), and Ronald J. Stern (AMS Board of Trustees). Steven Weintraub was the voting Associate Secretary. 1.2. 2009 Elections and More Newly elected or appointed members of the Council took office on 01 February 2010, and they are: President Elect Eric Friedlander Vice President: Sylvain Cappell Members at Large Alejandro Adem Richard Hain Jennifer Schultens Janet Talvacchia Christophe Thiele Math Reviews Editorial Committee Chair Ronald M. -
Computing Over the Reals: Where Turing Meets Newton, Volume 51
Computing over the Reals: Where Turing Meets Newton Lenore Blum he classical (Turing) theory of computation been a powerful tool in classical complexity theory. has been extraordinarily successful in pro- But now, in addition, the transfer of complexity re- Tviding the foundations and framework for sults from one domain to another becomes a real theoretical computer science. Yet its dependence possibility. For example, we can ask: Suppose we on 0s and 1s is fundamentally inadequate for pro- can show P = NP over C (using all the mathemat- viding such a foundation for modern scientific ics that is natural here). Then, can we conclude that computation, in which most algorithms—with ori- P = NP over another field, such as the algebraic gins in Newton, Euler, Gauss, et al.—are real num- numbers, or even over Z2? (Answer: Yes and es- ber algorithms. sentially yes.) In 1989, Mike Shub, Steve Smale, and I introduced In this article, I discuss these results and indi- a theory of computation and complexity over an cate how basic notions from numerical analysis arbitrary ring or field R [BSS89]. If R is such as condition, round-off, and approximation are Z2 = ({0, 1}, +, ·), the classical computer science being introduced into complexity theory, bringing theory is recovered. If R is the field of real num- together ideas germinating from the real calculus bers R, Newton’s algorithm, the paradigm algo- of Newton and the discrete computation of com- rithm of numerical analysis, fits naturally into our puter science. The canonical reference for this ma- model of computation. terial is the book Complexity and Real Computation Complexity classes P, NP and the fundamental [BCSS98].