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Report for the Academic Year 1995
Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1994 - 95 PRINCETON NEW JERSEY Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 994 - 95 OLDEN LANE PRINCETON • NEW JERSEY 08540-0631 609-734-8000 609-924-8399 (Fax) Extract from the letter addressed by the Founders to the Institute's Trustees, dated June 6, 1930. Newark, New jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4 BACKGROUND AND PURPOSE 5 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 8 • ADMINISTRATION 11 REPORT OF THE CHAIRMAN 15 REPORT OF THE DIRECTOR 23 • ACKNOWLEDGMENTS 27 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 36 • REPORT OF THE SCHOOL OF MATHEMATICS ACADEMIC ACTIVITIES MEMBERS AND VISITORS 42 • REPORT OF THE SCHOOL OF NATURAL SCIENCES ACADEMIC ACTIVITIES MEMBERS AND VISITORS 50 • REPORT OF THE SCHOOL OF SOCIAL SCIENCE ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 55 • REPORT OF THE INSTITUTE LIBRARIES 57 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1994-95 85 • INDEPENDENT AUDITORS' REPORT INSTITUTE FOR ADVANCED STUDY: BACKGROUND AND PURPOSE The Institute for Advanced Study is an independent, nonprofit institution devoted to the encouragement of learning and scholarship. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Karen Keskulla Uhlenbeck
2019 The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2019 to Karen Keskulla Uhlenbeck University of Texas at Austin “for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.” Karen Keskulla Uhlenbeck is a founder of modern by earlier work of Morse, guarantees existence of Geometric Analysis. Her perspective has permeated minimisers of geometric functionals and is successful the field and led to some of the most dramatic in the case of 1-dimensional domains, such as advances in mathematics in the last 40 years. closed geodesics. Geometric analysis is a field of mathematics where Uhlenbeck realised that the condition of Palais— techniques of analysis and differential equations are Smale fails in the case of surfaces due to topological interwoven with the study of geometrical and reasons. The papers of Uhlenbeck, co-authored with topological problems. Specifically, one studies Sacks, on the energy functional for maps of surfaces objects such as curves, surfaces, connections and into a Riemannian manifold, have been extremely fields which are critical points of functionals influential and describe in detail what happens when representing geometric quantities such as energy the Palais-Smale condition is violated. A minimising and volume. For example, minimal surfaces are sequence of mappings converges outside a finite set critical points of the area and harmonic maps are of singular points and by using rescaling arguments, critical points of the Dirichlet energy. Uhlenbeck’s they describe the behaviour near the singularities major contributions include foundational results on as bubbles or instantons, which are the standard minimal surfaces and harmonic maps, Yang-Mills solutions of the minimising map from the 2-sphere to theory, and integrable systems. -
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. -
Karen Uhlenbeck Awarded Abel Prize
COMMUNICATION Karen Uhlenbeck Awarded Abel Prize The Norwegian Academy of Science and Letters has awarded the Abel Prize for 2019 to Karen Keskulla Uhlenbeck of the University of Texas at Austin, “for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.” The Abel Prize recognizes contributions of extraordinary depth and influence in the mathematical sciences and has been awarded annually since 2003. It carries a cash award of six million Norwegian krone (approximately US$700,000). Citation detail what happens when the Palais–Smale condition is Karen Keskulla Uhlenbeck is a violated. A minimizing sequence of mappings converges founder of modern geometric outside a finite set of singular points, and, by using resca- analysis. Her perspective has ling arguments, they describe the behavior near the singu- permeated the field and led larities as bubbles or instantons, which are the standard to some of the most dramatic solutions of the minimizing map from the 2-sphere to the advances in mathematics in the target manifold. last forty years. In higher dimensions, Uhlenbeck in collaboration with Geometric analysis is a field Schoen wrote two foundational papers on minimizing of mathematics where tech- harmonic maps. They gave a profound understanding niques of analysis and differ- of singularities of solutions of nonlinear elliptic partial ential equations are interwoven differential equations. The singular set, which in the case Karen Keskulla Uhlenbeck with the study of geometrical of surfaces consists only of isolated points, is in higher and topological problems. -
President's Report
Volume 38, Number 4 NEWSLETTER July–August 2008 President’s Report Dear Colleagues: I am delighted to announce that our new executive director is Maeve Lewis McCarthy. I am very excited about what AWM will be able to accomplish now that she is in place. (For more about Maeve, see the press release on page 7.) Welcome, Maeve! Thanks are due to the search committee for its thought and energy. These were definitely required because we had some fabulous candidates. Thanks also to Murray State University, Professor McCarthy’s home institution, for its coopera- tion as we worked out the details of her employment with AWM. The AWM Executive Committee has voted to give honorary lifetime mem- IN THIS ISSUE berships to our founding presidents, Mary Gray and Alice T. Schafer. In my role as president, I am continually discovering just how extraordinary AWM is 7 McCarthy Named as an organization. Looking back at its early history, I find it hard to imagine AWM Executive Director how AWM could have come into existence without the vision, work, and persist- ence of these two women. 10 AWM Essay Contest Among newly elected members of the National Academy of Sciences in the physical and mathematical sciences are: 12 AWM Teacher Partnerships 16 MIT woMen In maTH Emily Ann Carter Department of Mechanical and Aerospace Engineering and the Program in 19 Girls’ Angle Applied and Computational Mathematics, Princeton University Lisa Randal Professor of theoretical physics, Department of Physics, Harvard University Elizabeth Thompson Department of Statistics, University of Washington, Seattle A W M The American Academy of Arts and Sciences has also announced its new members. -
Non-Self-Dual Yang-Mills Connections with Nonzero Chern Number
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 24, Number 1, January 1991 NON-SELF-DUAL YANG-MILLS CONNECTIONS WITH NONZERO CHERN NUMBER LORENZO SADUN AND JAN SEGERT We prove the existence of non-self-dual Yang-Mills connections on SU(2) bundles over the standard four-sphere, specifically on all bundles with second Chern number not equal to ±1. A Yang- Mills (YM) connection A is a critical point of the YM action S(A)= f \F\2dVol= f -Tr(*FAF), Js4 Js4 where F is the curvature of the connection A and * is the Hodge dual. The YM equations D * F = 0, where D denotes the covariant exterior derivative, are the variational equations of this functional, and constitute a system of second-order PDE's in A. Absolute minima of the YM action, in addition to satisfy ing the YM equations, also satisfy a first-order system of PDE's, the (anti)self-duality equations *F = ±F. We call a connection non-self-dual (NSD) if it is neither self-dual ( *F = F ) nor anti- self-dual (*F = —F), i.e., if it is not a minimum of the YM action. (Anti) self-dual connections on *S4 have been well-understood for some time. The first nontrivial example, the BPST instanton [BPST], was found in 1975, and three years later all self-dual so lutions on S4 were classified [ADHM], not only for SU(2) but for all classical groups. The study of self-dual SU(2) connections on other four-manifolds led to spectacular progress in topology, including the discovery of fake R4 (see [FU] for an overview). -
Karen Keskulla Uhlenbeck
2019 The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2019 to Karen Keskulla Uhlenbeck University of Texas at Austin “for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.” Karen Keskulla Uhlenbeck is a founder of modern by earlier work of Morse, guarantees existence of Geometric Analysis. Her perspective has permeated minimisers of geometric functionals and is successful the field and led to some of the most dramatic in the case of 1-dimensional domains, such as advances in mathematics in the last 40 years. closed geodesics. Geometric analysis is a field of mathematics where Uhlenbeck realised that the condition of Palais— techniques of analysis and differential equations are Smale fails in the case of surfaces due to topological weaved with the study of geometrical and topological reasons. The papers of Uhlenbeck, co-authored with problems. Specifically, one studies objects such as Sacks, on the energy functional for maps of surfaces curves, surfaces, connections and fields which are into a Riemannian manifold, have been extremely critical points of functionals representing geometric influential and describe in detail what happens when quantities such as energy and volume. For example, the Palais-Smale condition is violated. A minimising minimal surfaces are critical points of the area and sequence of mappings converges outside a finite set harmonic maps are critical points of the Dirichlet of singular points and by using rescaling arguments, energy. Uhlenbeck’s major contributions include they describe the behaviour near the singularities foundational results on minimal surfaces and as bubbles or instantons, which are the standard harmonic maps, Yang-Mills theory, and integrable solutions of the minimising map from the 2-sphere to systems. -
ICIAM Newsletter Vol. 2, No. 2, April 2014
Managing Editor Reporters C. Sean Bohun Iain Duff University of Ontario STFC Rutherford Appleton ICIAM Institute of Technology Laboratory Faculty of Science Harwell Oxford 2000 Simcoe St. North Didcot, OX11 OQX, UK Oshawa, ON, Canada e-mail: iain.duff@stfc.ac.uk e-mail: [email protected] Maria J. Esteban CEREMADE Editor-in-Chief Place du Maréchal Lattre de Tassigny Barbara Lee Keyfitz F-75775 Paris Cedex 16, The Ohio State University France Department of Mathematics e-mail: [email protected] 231 West 18th Avenue Columbus, OH 43210-1174 Eunok Jung The ICIAM Dianoia e-mail: bkeyfi[email protected] Konkuk University Department of Mathematics Vol. 2, No. 2, April 2014 Editorial Board 1, Hwayang-dong, Gwangjin-gu Thirty years of SMAI: 1983–2013 — Thierry James M. Crowley Seoul, South Korea Horsin 2 SIAM e-mail: [email protected] ICIAM 2015 Call for Mini-symposia 4 e-mail: [email protected] Abel Prize 2014 Press Release 5 Alexander Ostermann 2016 CIMPA Research Schools Call for Projects 6 University of Innsbruck Thierry Horsin ICSU and ICIAM — Tom Mitsui 6 CNAM, Paris, France Numerical Analysis Group ICIAM 2015 Call for Proposals of Satellite Meet- Département Ingénierie Department of Mathematics ings 8 Mathématique Technikerstraße 13/7 ICIAM, Past and Future: A Conversation Be- e-mail: [email protected] 6020 Innsbruck, Austria tween Two Former Presidents — Olavi e-mail: [email protected] Pammy Manchanda Nevanlinna 8 Guru Nanak Dev University Néstor Thome The ICIAM Officers Meeting — Barbara Keyfitz 11 Amritsar, Punjab, India Universitat Politèchnica di ICIAM Workshop in May 12 Department of Mathematics València Call for Nominations for ICIAM Officers: Secre- e-mail: [email protected] Departamento de Matemática tary, Treasurer, Officer-at-Large 13 Roberto Natalini Aplicada Save the Date! 14 e-mail: [email protected] Consiglio Nazionale delle Invited Speakers of ICIAM 2015 15 Ricerche, Rome, Italy, About ICIAM 16 Istituto per le Applicazioni del Calcolo “M. -
ICIAM Newsletter Vol. 5, No. 4, October 2017; Vol. 6, No. 1, January 2018
ICIAM Managing Editor Reporters C. Sean Bohun Iain Duff University of Ontario STFC Rutherford Appleton The ICIAM Dianoia Institute of Technology Laboratory Faculty of Science Harwell Oxford Vol. 5, No. 4, Oct 2017 2000 Simcoe St. North Didcot, OX11 OQX, UK Vol. 6, No. 1, Jan 2018 Oshawa, ON, Canada e-mail: iain.duff@stfc.ac.uk e-mail: [email protected] Maria J. Esteban ICIAM Announcements 2 CEREMADE Math for the Digital Factory 2 Editor-in-Chief Place du Maréchal Welcome To Ya-xiang Yuan — Barbara Keyfitz 3 Lattre de Tassigny CSIAM-JSIAM-KSIAM-ECMI meeting held in Barbara Lee Keyfitz F-75775 Paris Cedex 16, The Ohio State University Qingdao, China — Xiao-lin Zhang 5 France Conference Support for Applied and Industrial Department of Mathematics e-mail: [email protected] 231 West 18th Avenue Mathematics in Developing Countries 6 Columbus, OH 43210-1174 Eunok Jung An Encounter of Presidents in Beijing — Maria e-mail: bkeyfi[email protected] Konkuk University J. Esteban 6 Department of Mathematics Announcement of the Invited Speakers for the Editorial Board 1, Hwayang-dong, ICIAM 2019 Congress — Maria J. Esteban 7 Gwangjin-gu The AAAS Statement on Scientific Freedom James M. Crowley Seoul, South Korea and Responsibility 7 SIAM e-mail: [email protected] Mathesia, the Land of Opportunities for Math e-mail: [email protected] Specialists — Francesca Gatti 9 Alexander Ostermann IMU Committee for Women in Mathematics: University of Innsbruck Thierry Horsin Funding Call 2018 10 CNAM, Paris, France Numerical Analysis Group European School -
PROGRAM Sponsors
PROGRAM Sponsors ORGANIZED BY Asociación ICIAM 2019 - Valencia Sociedad Española de Matemática Aplicada INSTITUTIONAL SPONSORS MAIN SPONSORS DISTINGUISHED SPONSORS Sponsors SPONSORS SCHOLARSHIP PROGRAM Basque Center for Applied Universidad de Málaga Mathematics Centre de Recerca Matemàtica Universidad de Murcia Fundación Universidad de Oviedo Universidad Pública de Navarra Universidad Complutense de Madrid Universidad de Santiago de SeMA Sociedad Española de Compostela Sociedad Española de Matemática Aplicada Matemática Aplicada (SEMA) Universitat Autónoma de Universidad de Sevilla Barcelona Universidad Autónoma de Madrid Universitat de València Universidad Carlos III de Madrid Universidad de Valladolid Universitat Jaume I de Castellón Universidad de Vigo Universidad de Cádiz Universidad de Zaragoza Universidad de Cantabria Universidad del País Vasco Universidad de Extremadura Universidad Politécnica de Madrid Universidad de Huelva Universitat Politècnica de València OTHER SPONSORS MEDIA PARTNER OFFICIAL LOCAL TRANSPORT ICIAM Attendees! Visit the SIAM Booth Join SIAM today and get 6 months of membership free! This is your opportunity to join over 14,000 of your peers in applied mathematics and With name computational science at 33% off regular prices. “recognition and worldwide visibility, Network with your peers worldwide and get SIAM is the ideal discounts on SIAM conferences, publications, platform for and journals. promoting applied Subscriptions to SIAM News, SIAM Review, mathematics…in and SIAM Unwrapped e-newsletter are academia, -
RM Calendar 2019
Rudi Mathematici x3 – 6’141 x2 + 12’569’843 x – 8’575’752’975 = 0 www.rudimathematici.com 1 T (1803) Guglielmo Libri Carucci dalla Sommaja RM132 (1878) Agner Krarup Erlang Rudi Mathematici (1894) Satyendranath Bose RM168 (1912) Boris Gnedenko 2 W (1822) Rudolf Julius Emmanuel Clausius (1905) Lev Genrichovich Shnirelman (1938) Anatoly Samoilenko 3 T (1917) Yuri Alexeievich Mitropolsky January 4 F (1643) Isaac Newton RM071 5 S (1723) Nicole-Reine Étable de Labrière Lepaute (1838) Marie Ennemond Camille Jordan Putnam 2004, A1 (1871) Federigo Enriques RM084 Basketball star Shanille O’Keal’s team statistician (1871) Gino Fano keeps track of the number, S( N), of successful free 6 S (1807) Jozeph Mitza Petzval throws she has made in her first N attempts of the (1841) Rudolf Sturm season. Early in the season, S( N) was less than 80% of 2 7 M (1871) Felix Edouard Justin Émile Borel N, but by the end of the season, S( N) was more than (1907) Raymond Edward Alan Christopher Paley 80% of N. Was there necessarily a moment in between 8 T (1888) Richard Courant RM156 when S( N) was exactly 80% of N? (1924) Paul Moritz Cohn (1942) Stephen William Hawking Vintage computer definitions 9 W (1864) Vladimir Adreievich Steklov Advanced User : A person who has managed to remove a (1915) Mollie Orshansky computer from its packing materials. 10 T (1875) Issai Schur (1905) Ruth Moufang Mathematical Jokes 11 F (1545) Guidobaldo del Monte RM120 In modern mathematics, algebra has become so (1707) Vincenzo Riccati important that numbers will soon only have symbolic (1734) Achille Pierre Dionis du Sejour meaning.