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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. -
Alejandro Adem
Latinxs and Hispanics in Mathematical Sciences Alejandro Adem Dr. Alejandro Adem is a Professor of Mathematics at the University of British Colum- bia in Vancouver, Canada. Since 2015, he is also CEO and Scientific Director of Mitacs, a non-profit Canadian organization focused on developing university/indus- try connections through internships for graduate students. Dr. Adem received his BS from the National University of México in 1982, and his Ph.D from Princeton University in 1986. He held a Szegö Assistant Professorship at Stanford University (1986–89) and held a faculty position at the University of Wis- consin-Madison from 1989 to 2004, where he served as Chair of the Department of Mathematics from 1999 to 2002. He was appointed as a Canada Research Chair in “In my opinion this is a great AlgeBraic Topology at the University of British ColumBia in 2004 and served as Di- occasion to celebrate the rector of the Pacific Institute for the Mathematical Sciences from 2008 to 2015. wonderful mathematical Dr. Alejandro Adem has held visiting positions at the Institute for Advanced Study in contributions of the Hispanic Princeton, the ETH-Zurich, the Max Planck Institute in Bonn, the University of Paris community. Our challenge is VII and XIII, and Princeton University. He is a highly regarded researcher in mathe- to ensure that our students matics, with many publications in his name; he has delivered over 300 invited lec- get the best opportunities to tures aBout his research around the world and supervised a multitude of Ph.D. stu- fully engage in the beauty dents and postdocs. -
Curriculum Vitae
Curriculum Vitae Alejandro ADEM Mathematics Department, University of British Columbia Vancouver BC V6T 1Z2, Canada http://www.math.ubc.ca/∼adem https://orcid.org/0000-0002-9126-6546 Education: 1982{1986 Ph.D. Mathematics, Princeton University 1979{1982 B.Sc. Mathematics, National University of Mexico Awards: 2017 Corresponding Member, Mexican Academy of Sciences 2015 Jeffery–Williams Research Prize, Canadian Mathematical Society 2015 Ten Most Influential Hispanic{Canadians 2012 Fellow of the American Mathematical Society 2004 Canada Research Chair in Algebraic Topology 2003 Vilas Associate Award, University of Wisconsin{Madison 1995 H. I. Romnes Faculty Fellowship, Wisconsin Alumni Research Foundation 1992 U.S. National Science Foundation Young Investigator Award (NYI) 1985 Alfred P. Sloan Doctoral Dissertation Fellowship Employment: 2015- CEO and Scientific Director, Mitacs, Inc. 2005- Professor and Canada Research Chair, Mathematics Department, UBC 2008-2015 Director, Pacific Institute for the Mathematical Sciences 2005-2008 Deputy Director, Pacific Institute for the Mathematical Sciences 1999-2002 Chair, Department of Mathematics, University of Wisconsin{Madison 1996-2006 Professor, Department of Mathematics, University of Wisconsin{Madison 1992-1996 Associate Professor, Department of Mathematics, University of Wisconsin{Madison 1989-1992 Assistant Professor, Department of Mathematics, University of Wisconsin{Madison 1989-1990 Member, School of Mathematics, Institute for Advanced Study, Princeton NJ 1986-1989 Szeg¨o Assistant Professor, -
June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings for MATHEMATICS 2014 and Events Following a Very Generous Tions Open in Late 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 437 June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings FOR MATHEMATICS 2014 and Events Following a very generous tions open in late 2014. The prize Monday 16 June donation made by Professor may be awarded to either a single Midlands Regional Meeting, Loughborough Geoffrey Shephard, the London winner or jointly to collaborators. page 11 Mathematical Society will, in 2015, The mathematical contribution Friday 4 July introduce a new prize. The prize, to which an award will be made Graduate Student to be known as the Shephard must be published, though there Meeting, Prize will be awarded bienni- is no requirement that the pub- London ally. The award will be made to lication be in an LMS-published page 8 a mathematician (or mathemati- journal. Friday 4 July cians) based in the UK in recog- Professor Shephard himself is 1 Society Meeting nition of a specific contribution Professor of Mathematics at the Hardy Lecture to mathematics with a strong University of East Anglia whose London intuitive component which can be main fields of interest are in page 9 explained to those with little or convex geometry and tessella- Wednesday 9 July no knowledge of university math- tions. Professor Shephard is one LMS Popular Lectures ematics, though the work itself of the longest-standing members London may involve more advanced ideas. of the LMS, having given more page 17 The Society now actively en- than sixty years of membership. Tuesday 19 August courages members to consider The Society wishes to place on LMS Meeting and Reception nominees who could be put record its thanks for his support ICM 2014, Seoul forward for the award of a in the establishment of the new page 11 Shephard Prize when nomina- prize. -
TWAS Fellowships Worldwide
CDC Round Table, ICTP April 2016 With science and engineering, countries can address challenges in agriculture, climate, health TWAS’s and energy. guiding principles 2 Food security Challenges Water quality for a Energy security new era Biodiversity loss Infectious diseases Climate change 3 A Globally, 81 nations fall troubling into the category of S&T- gap lagging countries. 48 are classified as Least Developed Countries. 4 The role of TWAS The day-to-day work of TWAS is focused in two critical areas: •Improving research infrastructure •Building a corps of PhD scholars 5 TWAS Research Grants 2,202 grants awarded to individuals and research groups (1986-2015) 6 TWAS’ AIM: to train 1000 PhD students by 2017 Training PhD-level scientists: •Researchers and university-level educators •Future leaders for science policy, business and international cooperation Rapidly growing opportunities P BRAZIL A K I N D I CA I RI A S AF TH T SOU A N M KENYA EX ICO C H I MALAYSIA N A IRAN THAILAND TWAS Fellowships Worldwide NRF, South Africa - newly on board 650+ fellowships per year PhD fellowships +460 Postdoctoral fellowships +150 Visiting researchers/professors + 45 17 Programme Partners BRAZIL: CNPq - National Council MALAYSIA: UPM – Universiti for Scientific and Technological Putra Malaysia WorldwideDevelopment CHINA: CAS - Chinese Academy of KENYA: icipe – International Sciences Centre for Insect Physiology and Ecology INDIA: CSIR - Council of Scientific MEXICO: CONACYT– National & Industrial Research Council on Science and Technology PAKISTAN: CEMB – National INDIA: DBT - Department of Centre of Excellence in Molecular Biotechnology Biology PAKISTAN: ICCBS – International Centre for Chemical and INDIA: IACS - Indian Association Biological Sciences for the Cultivation of Science PAKISTAN: CIIT – COMSATS Institute of Information INDIA: S.N. -
Millennium Prize for the Poincaré
FOR IMMEDIATE RELEASE • March 18, 2010 Press contact: James Carlson: [email protected]; 617-852-7490 See also the Clay Mathematics Institute website: • The Poincaré conjecture and Dr. Perelmanʼs work: http://www.claymath.org/poincare • The Millennium Prizes: http://www.claymath.org/millennium/ • Full text: http://www.claymath.org/poincare/millenniumprize.pdf First Clay Mathematics Institute Millennium Prize Announced Today Prize for Resolution of the Poincaré Conjecture a Awarded to Dr. Grigoriy Perelman The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture. The citation for the award reads: The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman. The Poincaré conjecture is one of the seven Millennium Prize Problems established by CMI in 2000. The Prizes were conceived to record some of the most difficult problems with which mathematicians were grappling at the turn of the second millennium; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; to emphasize the importance of working towards a solution of the deepest, most difficult problems; and to recognize achievement in mathematics of historical magnitude. The award of the Millennium Prize to Dr. Perelman was made in accord with their governing rules: recommendation first by a Special Advisory Committee (Simon Donaldson, David Gabai, Mikhail Gromov, Terence Tao, and Andrew Wiles), then by the CMI Scientific Advisory Board (James Carlson, Simon Donaldson, Gregory Margulis, Richard Melrose, Yum-Tong Siu, and Andrew Wiles), with final decision by the Board of Directors (Landon T. -
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 -
Kähler-Einstein Metrics on Fano Manifolds. I
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 1, January 2015, Pages 183–197 S 0894-0347(2014)00799-2 Article electronically published on March 28, 2014 KAHLER-EINSTEIN¨ METRICS ON FANO MANIFOLDS. I: APPROXIMATION OF METRICS WITH CONE SINGULARITIES XIUXIONG CHEN, SIMON DONALDSON, AND SONG SUN 1. Introduction This is the first of a series of three articles which provide proofs of results an- nounced in [9]. Let X be a Fano manifold of complex dimension n.Letλ>0bean integer and D be a smooth divisor in the linear system |−λKX |.Forβ ∈ (0, 1) there is now a well-established notion of a K¨ahler-Einstein metric with a cone singularity of cone angle 2πβ along D. (It is often called an “edge-cone” singularity). For brevity, we will just say that ω has cone angle 2πβ along D. The Ricci curvature of such a metric ω is (1−λ(1−β))ω. Our primary concern is the case of positive Ricci −1 curvature, so we suppose throughout most of the article that β ≥ β0 > 1 − λ . However our arguments also apply to the case of non-positive Ricci curvature: see Remark 3.10. Theorem 1.1. If ω is a K¨ahler-Einstein metric with cone angle 2πβ along D with β ≥ β0,then(X, ω) is the Gromov-Hausdorff limit of a sequence of smooth K¨ahler metrics with positive Ricci curvature and with diameter bounded by a fixed number depending only on β0,λ. This suffices for most of our applications but we also prove a sharper statement. -
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 -
Prospects in Topology
Annals of Mathematics Studies Number 138 Prospects in Topology PROCEEDINGS OF A CONFERENCE IN HONOR OF WILLIAM BROWDER edited by Frank Quinn PRINCETON UNIVERSITY PRESS PRINCETON, NEW JERSEY 1995 Copyright © 1995 by Princeton University Press ALL RIGHTS RESERVED The Annals of Mathematics Studies are edited by Luis A. Caffarelli, John N. Mather, and Elias M. Stein Princeton University Press books are printed on acid-free paper and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources Printed in the United States of America by Princeton Academic Press 10 987654321 Library of Congress Cataloging-in-Publication Data Prospects in topology : proceedings of a conference in honor of W illiam Browder / Edited by Frank Quinn. p. cm. — (Annals of mathematics studies ; no. 138) Conference held Mar. 1994, at Princeton University. Includes bibliographical references. ISB N 0-691-02729-3 (alk. paper). — ISBN 0-691-02728-5 (pbk. : alk. paper) 1. Topology— Congresses. I. Browder, William. II. Quinn, F. (Frank), 1946- . III. Series. QA611.A1P76 1996 514— dc20 95-25751 The publisher would like to acknowledge the editor of this volume for providing the camera-ready copy from which this book was printed PROSPECTS IN TOPOLOGY F r a n k Q u in n , E d it o r Proceedings of a conference in honor of William Browder Princeton, March 1994 Contents Foreword..........................................................................................................vii Program of the conference ................................................................................ix Mathematical descendants of William Browder...............................................xi A. Adem and R. J. Milgram, The mod 2 cohomology rings of rank 3 simple groups are Cohen-Macaulay........................................................................3 A. -
When Algebraic Entropy Vanishes Jim Propp (U. Wisconsin) Tufts
When algebraic entropy vanishes Jim Propp (U. Wisconsin) Tufts University October 31, 2003 1 I. Overview P robabilistic DYNAMICS ↑ COMBINATORICS ↑ Algebraic DYNAMICS 2 II. Rational maps Projective space: CPn = (Cn+1 \ (0, 0,..., 0)) / ∼, where u ∼ v iff v = cu for some c =6 0. We write the equivalence class of (x1, x2, . , xn+1) n in CP as (x1 : x2 : ... : xn+1). The standard imbedding of affine n-space into projective n-space is (x1, x2, . , xn) 7→ (x1 : x2 : ... : xn : 1). The “inverse map” is (x : ... : x : x ) 7→ ( x1 ,..., xn ). 1 n n+1 xn+1 xn+1 3 Geometrical version: CPn is the set of lines through the origin in (n + 1)-space. n The point (a1 : a2 : ... : an+1) in CP cor- responds to the line a1x1 = a2x2 = ··· = n+1 an+1xn+1 in C . The intersection of this line with the hyperplane xn+1 = 1 is the point a a a ( 1 , 2 ,..., n , 1) an+1 an+1 an+1 (as long as an+1 =6 0). We identity affine n-space with the hyperplane xn+1 = 1. Affine n-space is a Zariski-dense subset of pro- jective n-space. 4 A rational map is a function from (a Zariski-dense subset of) CPn to CPm given by m rational functions of the affine coordinate variables, or, the associated function from a Zariski-dense sub- set of Cn to CPm (e.g., the “function” x 7→ 1/x on affine 1-space, associated with the function (x : y) 7→ (y : x) on projective 1-space). -
Committee to Select the Winner of the Veblen Prize
Committee to Select the Winner of the Veblen Prize General Description · Committee is standing · Number of members is three · A new committee is appointed for each award Principal Activities The award is made every three years at the Annual (January) Meeting, in a cycle including the years 2001, 2004, and so forth. The award is made for a notable research work in geometry or topology that has appeared in the last six years. The work must be published in a recognized, peer-reviewed venue. The committee recommends a winner and communicates this recommendation to the Secretary for approval by the Executive Committee of the Council. Past winners are listed in the November issue of the Notices in odd-numbered years. About this Prize This prize was established in 1961 in memory of Professor Oswald Veblen through a fund contributed by former students and colleagues. The fund was later doubled by a gift from Elizabeth Veblen, widow of Professor Veblen. In honor of her late father, John L. Synge, who knew and admired Oswald Veblen, Cathleen Synge Morawetz and her husband, Herbert, substantially increased the endowed fund in 2013. The award is supplemented by a Steele Prize from the AMS under the name of the Veblen Prize. The current prize amount is $5,000. Miscellaneous Information The business of this committee can be done by mail, electronic mail, or telephone, expenses which may be reimbursed by the Society. Note to the Chair Work done by committees on recurring problems may have value as precedent or work done may have historical interest.