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Cédric VILLANI: Curriculum Vitae (Last Updated August 4, 2012)
C´edric VILLANI: Curriculum Vitae (last updated August 4, 2012) Professor of the Universit´ede Lyon Director of the Institut Henri Poincar´e 11 rue Pierre et Marie Curie, F-75230 Paris Cedex 05, FRANCE. Tel.: +33 1 44 27 64 18, fax: +33 1 46 34 04 56. E-Mail: [email protected] Internet address: http://math.univ-lyon1.fr/~villani Personal information - Born October 5, 1973 in Brive-la-Gaillarde (France); french citizen - age 38, two children - languages: french (native), english (fluent), italian - hobbies: walking, music (piano) Positions held - From 2000 to 2010 I have been professor (mathematics) in the Ecole´ Normale Sup´erieure de Lyon, where I did research and teaching up to graduate level. In September 2010 I moved to the Universit´eClaude Bernard Lyon I. - Since July 2009 I am director of the Institut Henri Poincar´e(Paris), where I do research and administration. I am the coordinator of the CARMIN structure, which gathers the four international french institutes for mathematics: CIRM, CIMPA, IHP, IHES.´ - Invited member of the Institute for Advanced Study, Princeton (January–June 2009) - Visiting Research Miller Professor at the University of Berkeley (January–May 2004) - Visiting Assistant Professor at the Georgia Tech Institute, Atlanta (Fall 1999) - Student, then agr´eg´e-pr´eparateur (“tutor”) at the ENS, Paris (1992-2000) Diplomas, titles and awards - Fields Medal (2010) - Fermat Prize (2009) - Henri Poincar´ePrize of the International Association of Mathematical Physics (2009) - Prize of the European Mathematical Society (2008) - Jacques Herbrand Prize of the Academy of Sciences (2007) - Invited lecturer at the International Congress of Mathematicians (Madrid, 2006) - Institut Universitaire de France (2006) - Harold Grad lecturer (2004) - Plenary lecturer at the International Congress of Mathematical Physics (Lisbonne, 2003) - Peccot-Vimont Prize and Cours Peccot of the Coll`ege de France (2003) - Louis Armand Prize of the Academy of Sciences (2001) - PhD Thesis (1998; advisor P.-L. -
I. Overview of Activities, April, 2005-March, 2006 …
MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 …......……………………. 2 Innovations ………………………………………………………..... 2 Scientific Highlights …..…………………………………………… 4 MSRI Experiences ….……………………………………………… 6 II. Programs …………………………………………………………………….. 13 III. Workshops ……………………………………………………………………. 17 IV. Postdoctoral Fellows …………………………………………………………. 19 Papers by Postdoctoral Fellows …………………………………… 21 V. Mathematics Education and Awareness …...………………………………. 23 VI. Industrial Participation ...…………………………………………………… 26 VII. Future Programs …………………………………………………………….. 28 VIII. Collaborations ………………………………………………………………… 30 IX. Papers Reported by Members ………………………………………………. 35 X. Appendix - Final Reports ……………………………………………………. 45 Programs Workshops Summer Graduate Workshops MSRI Network Conferences MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 This annual report covers MSRI projects and activities that have been concluded since the submission of the last report in May, 2005. This includes the Spring, 2005 semester programs, the 2005 summer graduate workshops, the Fall, 2005 programs and the January and February workshops of Spring, 2006. This report does not contain fiscal or demographic data. Those data will be submitted in the Fall, 2006 final report covering the completed fiscal 2006 year, based on audited financial reports. This report begins with a discussion of MSRI innovations undertaken this year, followed by highlights -
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. -
Dynamics, Equations and Applications Book of Abstracts Session
DYNAMICS, EQUATIONS AND APPLICATIONS BOOK OF ABSTRACTS SESSION D21 AGH University of Science and Technology Kraków, Poland 1620 September 2019 2 Dynamics, Equations and Applications CONTENTS Plenary lectures 7 Artur Avila, GENERIC CONSERVATIVE DYNAMICS . .7 Alessio Figalli, ON THE REGULARITY OF STABLE SOLUTIONS TO SEMI- LINEAR ELLIPTIC PDES . .7 Martin Hairer, RANDOM LOOPS . .8 Stanislav Smirnov, 2D PERCOLATION REVISITED . .8 Shing-Tung Yau, STABILITY AND NONLINEAR PDES IN MIRROR SYMMETRY8 Maciej Zworski, FROM CLASSICAL TO QUANTUM AND BACK . .9 Public lecture 11 Alessio Figalli, FROM OPTIMAL TRANSPORT TO SOAP BUBBLES AND CLOUDS: A PERSONAL JOURNEY . 11 Invited talks of part D2 13 Stefano Bianchini, DIFFERENTIABILITY OF THE FLOW FOR BV VECTOR FIELDS . 13 Yoshikazu Giga, ON THE LARGE TIME BEHAVIOR OF SOLUTIONS TO BIRTH AND SPREAD TYPE EQUATIONS . 14 David Jerison, THE TWO HYPERPLANE CONJECTURE . 14 3 4 Dynamics, Equations and Applications Sergiu Klainerman, ON THE NONLINEAR STABILITY OF BLACK HOLES . 15 Aleksandr Logunov, ZERO SETS OF LAPLACE EIGENFUCNTIONS . 16 Felix Otto, EFFECTIVE BEHAVIOR OF RANDOM MEDIA . 17 Endre Süli, IMPLICITLY CONSTITUTED FLUID FLOW MODELS: ANALYSIS AND APPROXIMATION . 17 András Vasy, GLOBAL ANALYSIS VIA MICROLOCAL TOOLS: FREDHOLM THEORY IN NON-ELLIPTIC SETTINGS . 19 Luis Vega, THE VORTEX FILAMENT EQUATION, THE TALBOT EFFECT, AND NON-CIRCULAR JETS . 20 Enrique Zuazua, POPULATION DYNAMICS AND CONTROL . 20 Talks of session D21 23 Giovanni Bellettini, ON THE RELAXED AREA OF THE GRAPH OF NONS- MOOTH MAPS FROM THE PLANE TO THE PLANE . 23 Sun-Sig Byun, GLOBAL GRADIENT ESTIMATES FOR NONLINEAR ELLIP- TIC PROBLEMS WITH NONSTANDARD GROWTH . 24 Juan Calvo, A BRIEF PERSPECTIVE ON TEMPERED DIFFUSION EQUATIONS 25 Giacomo Canevari, THE SET OF TOPOLOGICAL SINGULARITIES OF VECTOR- VALUED MAPS . -
Clay Mathematics Institute 2005 James A
Contents Clay Mathematics Institute 2005 James A. Carlson Letter from the President 2 The Prize Problems The Millennium Prize Problems 3 Recognizing Achievement 2005 Clay Research Awards 4 CMI Researchers Summary of 2005 6 Workshops & Conferences CMI Programs & Research Activities Student Programs Collected Works James Arthur Archive 9 Raoul Bott Library CMI Profile Interview with Research Fellow 10 Maria Chudnovsky Feature Article Can Biology Lead to New Theorems? 13 by Bernd Sturmfels CMI Summer Schools Summary 14 Ricci Flow, 3–Manifolds, and Geometry 15 at MSRI Program Overview CMI Senior Scholars Program 17 Institute News Euclid and His Heritage Meeting 18 Appointments & Honors 20 CMI Publications Selected Articles by Research Fellows 27 Books & Videos 28 About CMI Profile of Bow Street Staff 30 CMI Activities 2006 Institute Calendar 32 2005 Euclid: www.claymath.org/euclid James Arthur Collected Works: www.claymath.org/cw/arthur Hanoi Institute of Mathematics: www.math.ac.vn Ramanujan Society: www.ramanujanmathsociety.org $.* $MBZ.BUIFNBUJDT*OTUJUVUF ".4 "NFSJDBO.BUIFNBUJDBM4PDJFUZ In addition to major,0O"VHVTU BUUIFTFDPOE*OUFSOBUJPOBM$POHSFTTPG.BUIFNBUJDJBOT ongoing activities such as JO1BSJT %BWJE)JMCFSUEFMJWFSFEIJTGBNPVTMFDUVSFJOXIJDIIFEFTDSJCFE the summer schools,UXFOUZUISFFQSPCMFNTUIBUXFSFUPQMBZBOJOnVFOUJBMSPMFJONBUIFNBUJDBM the Institute undertakes a 5IF.JMMFOOJVN1SJ[F1SPCMFNT SFTFBSDI"DFOUVSZMBUFS PO.BZ BUBNFFUJOHBUUIF$PMMÒHFEF number of smaller'SBODF UIF$MBZ.BUIFNBUJDT*OTUJUVUF $.* BOOPVODFEUIFDSFBUJPOPGB special projects -
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 TABLE OF CONTENTS EXECUTIVE SUMMARY 2 A. PARTICIPANT LIST 3 B. FINANCIAL SUPPORT LIST 4 C. INCOME AND EXPENDITURE REPORT 4 D. POSTDOCTORAL PLACEMENT LIST 5 E. INSTITUTE DIRECTORS‘ MEETING REPORT 6 F. PARTICIPANT SUMMARY 12 G. POSTDOCTORAL PROGRAM SUMMARY 13 H. GRADUATE STUDENT PROGRAM SUMMARY 14 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY 15 J. PROGRAM DESCRIPTION 15 K. PROGRAM CONSULTANT LIST 38 L. PUBLICATIONS LIST 50 M. INDUSTRIAL AND GOVERNMENTAL INVOLVEMENT 51 N. EXTERNAL SUPPORT 52 O. COMMITTEE MEMBERSHIP 53 P. CONTINUING IMPACT OF PAST IPAM PROGRAMS 54 APPENDIX 1: PUBLICATIONS (SELF-REPORTED) 2009-2010 58 Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 EXECUTIVE SUMMARY Highlights of IPAM‘s accomplishments and activities of the fiscal year 2009-2010 include: IPAM held two long programs during 2009-2010: o Combinatorics (fall 2009) o Climate Modeling (spring 2010) IPAM‘s 2010 winter workshops continued the tradition of focusing on emerging topics where Mathematics plays an important role: o New Directions in Financial Mathematics o Metamaterials: Applications, Analysis and Modeling o Mathematical Problems, Models and Methods in Biomedical Imaging o Statistical and Learning-Theoretic Challenges in Data Privacy IPAM sponsored reunion conferences for four long programs: Optimal Transport, Random Shapes, Search Engines and Internet MRA IPAM sponsored three public lectures since August. Noga Alon presented ―The Combinatorics of Voting Paradoxes‖ on October 5, 2009. Pierre-Louis Lions presented ―On Mean Field Games‖ on January 5, 2010. -
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. -
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. -
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. -
Party Time for Mathematicians in Heidelberg
Mathematical Communities Marjorie Senechal, Editor eidelberg, one of Germany’s ancient places of Party Time HHlearning, is making a new bid for fame with the Heidelberg Laureate Forum (HLF). Each year, two hundred young researchers from all over the world—one for Mathematicians hundred mathematicians and one hundred computer scientists—are selected by application to attend the one- week event, which is usually held in September. The young in Heidelberg scientists attend lectures by preeminent scholars, all of whom are laureates of the Abel Prize (awarded by the OSMO PEKONEN Norwegian Academy of Science and Letters), the Fields Medal (awarded by the International Mathematical Union), the Nevanlinna Prize (awarded by the International Math- ematical Union and the University of Helsinki, Finland), or the Computing Prize and the Turing Prize (both awarded This column is a forum for discussion of mathematical by the Association for Computing Machinery). communities throughout the world, and through all In 2018, for instance, the following eminences appeared as lecturers at the sixth HLF, which I attended as a science time. Our definition of ‘‘mathematical community’’ is journalist: Sir Michael Atiyah and Gregory Margulis (both Abel laureates and Fields medalists); the Abel laureate the broadest: ‘‘schools’’ of mathematics, circles of Srinivasa S. R. Varadhan; the Fields medalists Caucher Bir- kar, Gerd Faltings, Alessio Figalli, Shigefumi Mori, Bào correspondence, mathematical societies, student Chaˆu Ngoˆ, Wendelin Werner, and Efim Zelmanov; Robert organizations, extracurricular educational activities Endre Tarjan and Leslie G. Valiant (who are both Nevan- linna and Turing laureates); the Nevanlinna laureate (math camps, math museums, math clubs), and more. -
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. -
2019-2020 Award #1440415 August 10, 2020
Institute for Pure and Applied Mathematics, UCLA Annual Progress Report for 2019-2020 Award #1440415 August 10, 2020 TABLE OF CONTENTS EXECUTIVE SUMMARY .................................................................................................................... 2 A. PARTICIPANT LIST ....................................................................................................................... 4 B. FINANCE SUPPORT LIST ............................................................................................................. 4 C. INCOME AND EXPENDITURE REPORT .................................................................................... 4 D. POSTDOCTORAL PLACEMENT LIST ........................................................................................ 5 E. MATH INSTITUTE DIRECTORS’ MEETING REPORT ............................................................. 6 F. PARTICIPANT SUMMARY .......................................................................................................... 20 G. POSTDOCTORAL PROGRAM SUMMARY............................................................................... 23 H. GRADUATE STUDENT PROGRAM SUMMARY ...................................................................... 24 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY .......................................................... 25 J. PROGRAM DESCRIPTION .......................................................................................................... 25 K. PROGRAM CONSULTANT LIST ...............................................................................................