Mathematics 2014
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Arxiv:1006.1489V2 [Math.GT] 8 Aug 2010 Ril.Ias Rfie Rmraigtesre Rils[14 Articles Survey the Reading from Profited Also I Article
Pure and Applied Mathematics Quarterly Volume 8, Number 1 (Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones, Part 1 of 2 ) 1—14, 2012 The Work of Tom Farrell and Lowell Jones in Topology and Geometry James F. Davis∗ Tom Farrell and Lowell Jones caused a paradigm shift in high-dimensional topology, away from the view that high-dimensional topology was, at its core, an algebraic subject, to the current view that geometry, dynamics, and analysis, as well as algebra, are key for classifying manifolds whose fundamental group is infinite. Their collaboration produced about fifty papers over a twenty-five year period. In this tribute for the special issue of Pure and Applied Mathematics Quarterly in their honor, I will survey some of the impact of their joint work and mention briefly their individual contributions – they have written about one hundred non-joint papers. 1 Setting the stage arXiv:1006.1489v2 [math.GT] 8 Aug 2010 In order to indicate the Farrell–Jones shift, it is necessary to describe the situation before the onset of their collaboration. This is intimidating – during the period of twenty-five years starting in the early fifties, manifold theory was perhaps the most active and dynamic area of mathematics. Any narrative will have omissions and be non-linear. Manifold theory deals with the classification of ∗I thank Shmuel Weinberger and Tom Farrell for their helpful comments on a draft of this article. I also profited from reading the survey articles [14] and [4]. 2 James F. Davis manifolds. There is an existence question – when is there a closed manifold within a particular homotopy type, and a uniqueness question, what is the classification of manifolds within a homotopy type? The fifties were the foundational decade of manifold theory. -
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. -
Arxiv:2006.00374V4 [Math.GT] 28 May 2021
CONTROLLED MATHER-THURSTON THEOREMS MICHAEL FREEDMAN ABSTRACT. Classical results of Milnor, Wood, Mather, and Thurston produce flat connections in surprising places. The Milnor-Wood inequality is for circle bundles over surfaces, whereas the Mather-Thurston Theorem is about cobording general manifold bundles to ones admitting a flat connection. The surprise comes from the close encounter with obstructions from Chern-Weil theory and other smooth obstructions such as the Bott classes and the Godbillion-Vey invariant. Contradic- tion is avoided because the structure groups for the positive results are larger than required for the obstructions, e.g. PSL(2,R) versus U(1) in the former case and C1 versus C2 in the latter. This paper adds two types of control strengthening the positive results: In many cases we are able to (1) refine the Mather-Thurston cobordism to a semi-s-cobordism (ssc) and (2) provide detail about how, and to what extent, transition functions must wander from an initial, small, structure group into a larger one. The motivation is to lay mathematical foundations for a physical program. The philosophy is that living in the IR we cannot expect to know, for a given bundle, if it has curvature or is flat, because we can’t resolve the fine scale topology which may be present in the base, introduced by a ssc, nor minute symmetry violating distortions of the fiber. Small scale, UV, “distortions” of the base topology and structure group allow flat connections to simulate curvature at larger scales. The goal is to find a duality under which curvature terms, such as Maxwell’s F F and Hilbert’s R dvol ∧ ∗ are replaced by an action which measures such “distortions.” In this view, curvature resultsR from renormalizing a discrete, group theoretic, structure. -
Institut Des Hautes Ét Udes Scientifiques
InstItut des Hautes É t u d e s scIentIfIques A foundation in the public interest since 1981 2 | IHES IHES | 3 Contents A VISIONARY PROJECT, FOR EXCELLENCE IN SCIENCE P. 5 Editorial P. 6 Founder P. 7 Permanent professors A MODERN-DAY THELEMA FOR A GLOBAL SCIENTIFIC COMMUNITY P. 8 Research P. 9 Visitors P. 10 Events P. 11 International INDEPENDENCE AND FREEDOM, THE INSTITUTE’S TWO OPERATIONAL PILLARS P. 12 Finance P. 13 Governance P. 14 Members P. 15 Tax benefits The Marilyn and James Simons Conference Center The aim of the Foundation known as ‘Institut des Hautes Études Scientifiques’ is to enable and encourage theoretical scientific research (…). [Its] activity consists mainly in providing the Institute’s professors and researchers, both permanent and invited, with the resources required to undertake disinterested IHES February 2016 Content: IHES Communication Department – Translation: Hélène Wilkinson – Design: blossom-creation.com research. Photo Credits: Valérie Touchant-Landais / IHES, Marie-Claude Vergne / IHES – Cover: unigma All rights reserved Extract from the statutes of the Institut des Hautes Études Scientifiques, 1958. 4 | IHES IHES | 5 A visionary project, for excellence in science Editorial Emmanuel Ullmo, Mathematician, IHES Director A single scientific program: curiosity. A single selection criterion: excellence. The Institut des Hautes Études Scientifiques is an international mathematics and theoretical physics research center. Free of teaching duties and administrative tasks, its professors and visitors undertake research in complete independence and total freedom, at the highest international level. Ever since it was created, IHES has cultivated interdisciplinarity. The constant dialogue between mathematicians and theoretical physicists has led to particularly rich interactions. -
Biographical Sketch of Jean Bourgain Born
Biographical Sketch of Jean Bourgain Born: February 28, 1954 in Ostende, Belgium Citizenship: Citizen of Belgium Education: 1977 - Ph.D., Free University of Brussels 1979 - Habilitation Degree, Free University of Brussels Appointments: Research Fellowship in Belgium NSF (NFWO), 1975-1981 Professor at Free University of Brussels, 1981-1985 J.L. Doob Professor of Mathematics, University of Illinois, 1985-2006 Professor a IHES (France), 1985-1995 Lady Davis Professor of Mathematics, Hebrew University of Jerusalem, 1988 Fairchild Distinguished Professor, Caltech, 1991 Professor IAS, 1994- IBM, Von Neumann Professor IAS, 2010– Honors: Alumni Prize, Belgium NSF, 1979 Empain Prize, Belgium NSF, 1983 Salem Prize, 1983 Damry-Deleeuw-Bourlart Prize (awarded by Belgian NSF), 1985 (quintesimal Belgian Science Prize) Langevin Prize (French Academy), 1985 E. Cartan Prize (French Academy), 1990 (quintesimal) Ostrowski Prize, Ostrowski Foundation (Basel-Switzerland), 1991 (biannual) Fields Medal, ICM Zurich, 1994 I.V. Vernadski Gold Medal, National Academy of Sciences of Ukraine, 2010 Shaw Prize, 2010 Crafoord Prize 2012, The Royal Swedish Academy of Sciences Dr. H.C. Hebrew University, 1991 Dr. H.C. Universit´eMarne-la-Vallee (France), 1994 Dr. H.C. Free University of Brussels (Belgium), 1995 Associ´eEtranger de l’Academie des Sciences, 2000 Foreign Member of the Polish Academy, 2000 Foreign Member Academia Europaea, 2008 Foreign Member Royal Swedish Academy of Sciences, 2009 Foreign Associate National Academy of Sciences, 2011 International Congress of Mathematics, Warsaw (1983), Berkeley (1986), Zurich (1994) - plenary International Congress on Mathematical Physics, Paris (1994), Rio (2006) - plenary 1 European Mathematical Congress, Paris (1992), Amsterdam (2008) - plenary Lecture Series: A. Zygmund Lectures, Univ. -
What's Love Got to Do With
Aaron Brown What’s Love Got to Do With It? Edward Frenkel is writing a protracted Dear John letter to popular misconceptions about math and mathema- ticians… he great popular science and science fiction author Isaac Asimov told a story about a university committee meeting in which there was much laughter and joking about a student named “Milton” flunkingT English literature, but no one noticed when a student named “Gauss” was failing in mathematics. I wish I could find the reference to this, but I read it long ago in childhood, and some Internet searching proved fruitless. I may have the details wrong – especially the name of the student date are smaller than Asimov’s. They also have cians, and writers. With these people, screenwriters flunking English literature – but I remember the a different slant. Asimov tried to show every- often assume they must be tortured to be authentic. point. Asimov complained that a scientist would be one how mathematics and science could be fun. But there are plenty of exceptions – movies built thought a Philistine if he expressed no interest in Frenkel instead celebrates the passion and inten- around well-rounded, friendly, artistic genius- music or philosophy, but that an artist could boast sity of mathematics at the highest level. He has es. And, even when artists are a bit crazy, it is an about not knowing enough arithmetic to balance done this through lectures which are a sensation excess of passion, “agony and ecstasy,” not some his checkbook. on YouTube, an erotic film, and, most recently, a incomprehensible twisted obsession from another Edward Frenkel is one of the great mathema- book, Love and Math: The Heart of Hidden Reality. -
Asian Nobel Prize' for Mapping the Universe 27 May 2010
Scientists win 'Asian Nobel Prize' for mapping the universe 27 May 2010 Three US scientists whose work helped map the category. universe are among the recipients of the one- million-US-dollar Shaw Prize, known as the "Asian (c) 2010 AFP Nobel," the competition's organisers said Thursday. Princeton University professors Lyman Page and David Spergel and Charles Bennett of Johns Hopkins University, won the award for an experiment that helped to determine the "geometry, age and composition of the universe to unprecedented precision." The trio will share the Shaw Prize's award for astronomy, with one-million-US-dollar prizes also awarded in the categories for mathematical sciences and life sciences and medicine. The University of California's David Julius won the award for life sciences and medicine for his "seminal discoveries" of how the skin senses pain and temperature, the organisers' statement said. "(Julius's) work has provided insights into fundamental mechanisms underlying the sense of touch as well as knowledge that opens the door to rational drug design for the treatment of chronic pain," the statement said. Princeton's Jean Bourgain won an award for his "profound work" in mathematical sciences, it said. The Shaw Prize, funded by Hong Kong film producer and philanthropist Run Run Shaw and first awarded in 2004, honours exceptional contributions "to the advancement of civilization and the well-being of humankind." The awards will be presented at a ceremony in Hong Kong on September 28. Last year, two scientists whose work challenged the assumption that obesity is caused by a lack of will power won the life sciences and medicine 1 / 2 APA citation: Scientists win 'Asian Nobel Prize' for mapping the universe (2010, May 27) retrieved 27 September 2021 from https://phys.org/news/2010-05-scientists-asian-nobel-prize-universe.html This document is subject to copyright. -
Professor Peter Goldreich Member of the Board of Adjudicators Chairman of the Selection Committee for the Prize in Astronomy
The Shaw Prize The Shaw Prize is an international award to honour individuals who are currently active in their respective fields and who have recently achieved distinguished and significant advances, who have made outstanding contributions in academic and scientific research or applications, or who in other domains have achieved excellence. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity’s spiritual civilization. Preference is to be given to individuals whose significant work was recently achieved and who are currently active in their respective fields. Founder's Biographical Note The Shaw Prize was established under the auspices of Mr Run Run Shaw. Mr Shaw, born in China in 1907, was a native of Ningbo County, Zhejiang Province. He joined his brother’s film company in China in the 1920s. During the 1950s he founded the film company Shaw Brothers (HK) Limited in Hong Kong. He was one of the founding members of Television Broadcasts Limited launched in Hong Kong in 1967. Mr Shaw also founded two charities, The Shaw Foundation Hong Kong and The Sir Run Run Shaw Charitable Trust, both dedicated to the promotion of education, scientific and technological research, medical and welfare services, and culture and the arts. ~ 1 ~ Message from the Chief Executive I warmly congratulate the six Shaw Laureates of 2014. Established in 2002 under the auspices of Mr Run Run Shaw, the Shaw Prize is a highly prestigious recognition of the role that scientists play in shaping the development of a modern world. Since the first award in 2004, 54 leading international scientists have been honoured for their ground-breaking discoveries which have expanded the frontiers of human knowledge and made significant contributions to humankind. -
David Spergel Is the Director of the Center for Computational Astrophysics and the Charles Young Professor of Astronomy at Princeton University
David Spergel is the director of the Center for Computational Astrophysics and the Charles Young Professor of Astronomy at Princeton University. He is the former chair of the Space Studies Board. Using microwave background observations from the Wilkinson Microwave Anisotropy Probe (WMAP) and the Atacama Cosmology Telescope, Spergel has measured the age, shape and composition of the universe. These observations have played a significant role in establishing the standard model of cosmology. He is one of the leaders of the Simons Observatory, which will include a planned millimeter-wave telescope that will allow us to take the next step in studying the microwave sky and probing the history of the universe. Spergel is currently co-chair of the Wide Field Infrared Survey Telescope (WFIRST) science team. WFIRST will study the nature of dark energy, complete the demographic survey of extrasolar planets, characterize the atmospheres of nearby planets and survey the universe with more than 100 times the field of view of the Hubble Space Telescope. Spergel has played a significant role in designing the coronagraph and in shaping the overall mission. Since completing my Ph.D. work, Spergel has been interested in using laboratory experiments and astronomical observations to probe the nature of dark matter and look for new physics. Recently, Spergel has been active in the exploration of data from the Gaia satellite and observations made by Subaru’s Hyper Suprime-Cam. Spergel serves as co-chair of the Global Coordination of Ground and Space Astrophysics working group of the International Astronomical Union. At Princeton, Spergel was department chair for a decade. -
Spring 2014 Fine Letters
Spring 2014 Issue 3 Department of Mathematics Department of Mathematics Princeton University Fine Hall, Washington Rd. Princeton, NJ 08544 Department Chair’s letter The department is continuing its period of Assistant to the Chair and to the Depart- transition and renewal. Although long- ment Manager, and Will Crow as Faculty The Wolf time faculty members John Conway and Assistant. The uniform opinion of the Ed Nelson became emeriti last July, we faculty and staff is that we made great Prize for look forward to many years of Ed being choices. Peter amongst us and for John continuing to hold Among major faculty honors Alice Chang Sarnak court in his “office” in the nook across from became a member of the Academia Sinica, Professor Peter Sarnak will be awarded this the common room. We are extremely Elliott Lieb became a Foreign Member of year’s Wolf Prize in Mathematics. delighted that Fernando Coda Marques and the Royal Society, John Mather won the The prize is awarded annually by the Wolf Assaf Naor (last Fall’s Minerva Lecturer) Brouwer Prize, Sophie Morel won the in- Foundation in the fields of agriculture, will be joining us as full professors in augural AWM-Microsoft Research prize in chemistry, mathematics, medicine, physics, Alumni , faculty, students, friends, connect with us, write to us at September. Algebra and Number Theory, Peter Sarnak and the arts. The award will be presented Our finishing graduate students did very won the Wolf Prize, and Yasha Sinai the by Israeli President Shimon Peres on June [email protected] well on the job market with four win- Abel Prize. -
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. -
William M. Goldman June 24, 2021 CURRICULUM VITÆ
William M. Goldman June 24, 2021 CURRICULUM VITÆ Professional Preparation: Princeton Univ. A. B. 1977 Univ. Cal. Berkeley Ph.D. 1980 Univ. Colorado NSF Postdoc. 1980{1981 M.I.T. C.L.E. Moore Inst. 1981{1983 Appointments: I.C.E.R.M. Member Sep. 2019 M.S.R.I. Member Oct.{Dec. 2019 Brown Univ. Distinguished Visiting Prof. Sep.{Dec. 2017 M.S.R.I. Member Jan.{May 2015 Institute for Advanced Study Member Spring 2008 Princeton University Visitor Spring 2008 M.S.R.I. Member Nov.{Dec. 2007 Univ. Maryland Assoc. Chair for Grad. Studies 1995{1998 Univ. Maryland Professor 1990{present Oxford Univ. Visiting Professor Spring 1989 Univ. Maryland Assoc. Professor 1986{1990 M.I.T. Assoc. Professor 1986 M.S.R.I. Member 1983{1984 Univ. Maryland Visiting Asst. Professor Fall 1983 M.I.T. Asst. Professor 1983 { 1986 1 2 W. GOLDMAN Publications (1) (with D. Fried and M. Hirsch) Affine manifolds and solvable groups, Bull. Amer. Math. Soc. 3 (1980), 1045{1047. (2) (with M. Hirsch) Flat bundles with solvable holonomy, Proc. Amer. Math. Soc. 82 (1981), 491{494. (3) (with M. Hirsch) Flat bundles with solvable holonomy II: Ob- struction theory, Proc. Amer. Math. Soc. 83 (1981), 175{178. (4) Two examples of affine manifolds, Pac. J. Math.94 (1981), 327{ 330. (5) (with M. Hirsch) A generalization of Bieberbach's theorem, Inv. Math. , 65 (1981), 1{11. (6) (with D. Fried and M. Hirsch) Affine manifolds with nilpotent holonomy, Comm. Math. Helv. 56 (1981), 487{523. (7) Characteristic classes and representations of discrete subgroups of Lie groups, Bull.