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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. -
European Mathematical Society
CONTENTS EDITORIAL TEAM EUROPEAN MATHEMATICAL SOCIETY EDITOR-IN-CHIEF MARTIN RAUSSEN Department of Mathematical Sciences, Aalborg University Fredrik Bajers Vej 7G DK-9220 Aalborg, Denmark e-mail: [email protected] ASSOCIATE EDITORS VASILE BERINDE Department of Mathematics, University of Baia Mare, Romania NEWSLETTER No. 52 e-mail: [email protected] KRZYSZTOF CIESIELSKI Mathematics Institute June 2004 Jagiellonian University Reymonta 4, 30-059 Kraków, Poland EMS Agenda ........................................................................................................... 2 e-mail: [email protected] STEEN MARKVORSEN Editorial by Ari Laptev ........................................................................................... 3 Department of Mathematics, Technical University of Denmark, Building 303 EMS Summer Schools.............................................................................................. 6 DK-2800 Kgs. Lyngby, Denmark EC Meeting in Helsinki ........................................................................................... 6 e-mail: [email protected] ROBIN WILSON On powers of 2 by Pawel Strzelecki ........................................................................ 7 Department of Pure Mathematics The Open University A forgotten mathematician by Robert Fokkink ..................................................... 9 Milton Keynes MK7 6AA, UK e-mail: [email protected] Quantum Cryptography by Nuno Crato ............................................................ 15 COPY EDITOR: KELLY -
Entuitive Credentials
CREDENTIALS SIMPLIFYING THE COMPLEX Entuitive | Credentials FIRM PROFILE TABLE OF CONTENTS Firm Profile i) The Practice 1 ii) Approach 3 iii) Better Design Through Technology 6 Services i) Structural Engineering 8 ii) Building Envelope 10 iii) Building Restoration 12 iv) Special Projects and Renovations 14 Sectors 16 i) Leadership Team 18 ii) Commercial 19 iii) Cultural 26 iv) Institutional 33 SERVICES v) Healthcare 40 vi) Residential 46 vii) Sports and Recreation 53 viii) Retail 59 ix) Hospitality 65 x) Mission Critical Facilities/Data Centres 70 xi) Transportation 76 SECTORS Image: The Bow*, Calgary, Canada FIRM PROFILE: THE PRACTICE ENTUITIVE IS A CONSULTING ENGINEERING PRACTICE WITH A VISION OF BRINGING TOGETHER ENGINEERING AND INTUITION TO ENHANCE BUILDING PERFORMANCE. We created Entuitive with an entrepreneurial spirit, a blank canvas and a new approach. Our mission was to build a consulting engineering firm that revolves around our clients’ needs. What do our clients need most? Innovative ideas. So we created a practice environment with a single overriding goal – realizing your vision through innovative performance solutions. 1 Firm Profile | Entuitive Image: Ripley’s Aquarium of Canada, Toronto, Canada BACKED BY DECADES OF EXPERIENCE AS CONSULTING ENGINEERS, WE’VE ACCOMPLISHED A GREAT DEAL TAKING DESIGN PERFORMANCE TO NEW HEIGHTS. FIRM PROFILE COMPANY FACTS The practice encompasses structural, building envelope, restoration, and special projects and renovations consulting, serving clients NUMBER OF YEARS IN BUSINESS throughout North America and internationally. 4 years. Backed by decades of experience as Consulting Engineers. We’re pushing the envelope on behalf of – and in collaboration with OFFICE LOCATIONS – our clients. They are architects, developers, building owners and CALGARY managers, and construction professionals. -
A Mathematical Tonic
NATURE|Vol 443|14 September 2006 BOOKS & ARTS reader nonplussed. For instance, he discusses a problem in which a mouse runs at constant A mathematical tonic speed round a circle, and a cat, starting at the centre of the circle, runs at constant speed Dr Euler’s Fabulous Formula: Cures Many mathematician. This is mostly a good thing: directly towards the mouse at all times. Does Mathematical Ills not many mathematicians know much about the cat catch the mouse? Yes, if, and only if, it by Paul Nahin signal processing or the importance of complex runs faster than the mouse. In the middle of Princeton University Press: 2006. 404 pp. numbers to engineers, and it is fascinating to the discussion Nahin suddenly abandons the $29.95, £18.95 find out about these subjects. Furthermore, it mathematics and puts a discrete approximation is likely that a mathematician would have got into his computer to generate some diagrams. Timothy Gowers hung up on details that Nahin cheerfully, and His justification is that an analytic formula for One of the effects of the remarkable success rightly, ignores. However, his background has the cat’s position is hard to obtain, but actu- of Stephen Hawking’s A Brief History Of Time the occasional disadvantage as well, such as ally the problem can be neatly solved without (Bantam, 1988) was a burgeoning of the mar- when he discusses the matrix formulation of such a formula (although it is good to have ket for popular science writing. It did not take de Moivre’s theorem, the fundamental result his diagrams as well). -
FIELDS MEDAL for Mathematical Efforts R
Recognizing the Real and the Potential: FIELDS MEDAL for Mathematical Efforts R Fields Medal recipients since inception Year Winners 1936 Lars Valerian Ahlfors (Harvard University) (April 18, 1907 – October 11, 1996) Jesse Douglas (Massachusetts Institute of Technology) (July 3, 1897 – September 7, 1965) 1950 Atle Selberg (Institute for Advanced Study, Princeton) (June 14, 1917 – August 6, 2007) 1954 Kunihiko Kodaira (Princeton University) (March 16, 1915 – July 26, 1997) 1962 John Willard Milnor (Princeton University) (born February 20, 1931) The Fields Medal 1966 Paul Joseph Cohen (Stanford University) (April 2, 1934 – March 23, 2007) Stephen Smale (University of California, Berkeley) (born July 15, 1930) is awarded 1970 Heisuke Hironaka (Harvard University) (born April 9, 1931) every four years 1974 David Bryant Mumford (Harvard University) (born June 11, 1937) 1978 Charles Louis Fefferman (Princeton University) (born April 18, 1949) on the occasion of the Daniel G. Quillen (Massachusetts Institute of Technology) (June 22, 1940 – April 30, 2011) International Congress 1982 William P. Thurston (Princeton University) (October 30, 1946 – August 21, 2012) Shing-Tung Yau (Institute for Advanced Study, Princeton) (born April 4, 1949) of Mathematicians 1986 Gerd Faltings (Princeton University) (born July 28, 1954) to recognize Michael Freedman (University of California, San Diego) (born April 21, 1951) 1990 Vaughan Jones (University of California, Berkeley) (born December 31, 1952) outstanding Edward Witten (Institute for Advanced Study, -
The Beauty, Power and Future of Mathematics I Am Thrilled and at The
The Beauty, Power and Future of Mathematics I am thrilled and at the same time humble to be honored by the Doctor Honoris Causa of the University Politehnica of Bucharest. Romania is a country with a very excellent tradition of mathematics at the very best. When I was in high school in Hong Kong, I read with care an elementary book by Popa with lucid explanation and colorful illustrations of basic mathematical concepts. During my undergraduate studies at Sir George Williams University in Montreal, a professor introduced me to Barbu’s works on nonlinear differential and integral equations. I should also mention that he introduced me to the book on linear partial differential operators by Hörmander. When I was a graduate student at the University of Toronto working under the supervision of Professor Atkinson, I learned Fredholm operators from him and the works of Foias and Voiculescu from the operator theory group. I was also influenced by the school of harmonic analysts led by E. M. Stein at Princeton. When I was a visiting professor at the University of California at Irvine, I learned from Martin Schechter of the works of Foias on nonlinear partial differential equations. This education path of mine points clearly to the influence of Romanian mathematics on me, the importance of knowing in depth different but related fields and my life‐long works on pseudo‐differential operators and related topics in mathematics and quantum physics. I chose to specialize in mathematics when I was in grade 10 at Kowloon Technical School in Hong Kong dated back to 1967, not least inspired by an inspiring teacher. -
Issue 73 ISSN 1027-488X
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Feature History Interview ERCOM Hedgehogs Richard von Mises Mikhail Gromov IHP p. 11 p. 31 p. 19 p. 35 September 2009 Issue 73 ISSN 1027-488X S E European M M Mathematical E S Society Geometric Mechanics and Symmetry Oxford University Press is pleased to From Finite to Infinite Dimensions announce that all EMS members can benefit from a 20% discount on a large range of our Darryl D. Holm, Tanya Schmah, and Cristina Stoica Mathematics books. A graduate level text based partly on For more information please visit: lectures in geometry, mechanics, and symmetry given at Imperial College www.oup.co.uk/sale/science/ems London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the FORTHCOMING subject. Differential Equations with Linear 2009 | 460 pp Algebra Paperback | 978-0-19-921291-0 | £29.50 Matthew R. Boelkins, Jack L Goldberg, Hardback | 978-0-19-921290-3 | £65.00 and Merle C. Potter Explores the interplaybetween linear FORTHCOMING algebra and differential equations by Thermoelasticity with Finite Wave examining fundamental problems in elementary differential equations. This Speeds text is accessible to students who have Józef Ignaczak and Martin completed multivariable calculus and is appropriate for Ostoja-Starzewski courses in mathematics and engineering that study Extensively covers the mathematics of systems of differential equations. two leading theories of hyperbolic October 2009 | 464 pp thermoelasticity: the Lord-Shulman Hardback | 978-0-19-538586-1 | £52.00 theory, and the Green-Lindsay theory. Oxford Mathematical Monographs Introduction to Metric and October 2009 | 432 pp Topological Spaces Hardback | 978-0-19-954164-5 | £70.00 Second Edition Wilson A. -
List of Members
LIST OF MEMBERS, ALFRED BAKER, M.A., Professor of Mathematics, University of Toronto, Toronto, Canada. ARTHUR LATHAM BAKER, C.E., Ph.D., Professor of Mathe matics, Stevens School, Hpboken., N. J. MARCUS BAKER, U. S. Geological Survey, Washington, D.C. JAMES MARCUS BANDY, B.A., M.A., Professor of Mathe matics and Engineering, Trinit)^ College, N. C. EDGAR WALES BASS, Professor of Mathematics, U. S. Mili tary Academy, West Point, N. Y. WOOSTER WOODRUFF BEMAN, B.A., M.A., Member of the London Mathematical Society, Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. R. DANIEL BOHANNAN, B.Sc, CE., E.M., Professor of Mathematics and Astronomy, Ohio State University, Columbus, Ohio. CHARLES AUGUSTUS BORST, M.A., Assistant in Astronomy, Johns Hopkins University, Baltimore, Md. EDWARD ALBERT BOWSER, CE., LL.D., Professor of Mathe matics, Rutgers College, New Brunswick, N. J. JOHN MILTON BROOKS, B.A., Instructor in Mathematics, College of New Jersey, Princeton, N. J. ABRAM ROGERS BULLIS, B.SC, B.C.E., Macedon, Wayne Co., N. Y. WILLIAM ELWOOD BYERLY, Ph.D., Professor of Mathematics, Harvard University, Cambridge*, Mass. WILLIAM CAIN, C.E., Professor of Mathematics and Eng ineering, University of North Carolina, Chapel Hill, N. C. CHARLES HENRY CHANDLER, M.A., Professor of Mathe matics, Ripon College, Ripon, Wis. ALEXANDER SMYTH CHRISTIE, LL.M., Chief of Tidal Division, U. S. Coast and Geodetic Survey, Washington, D. C. JOHN EMORY CLARK, M.A., Professor of Mathematics, Yale University, New Haven, Conn. FRANK NELSON COLE, Ph.D., Assistant Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. -
Fall 2020 Issue
MATHEMATICS + BERKELEY Fall 2020 IN THIS ISSUE Letter from the Chair 2 Department News 4 Happy Hours, New Horizons 3 Grad and Undergrad News 5 Prize New Faculty and Staff 7 Chair Michael Hutchings (PhD, Harvard, 1998) has been a member of the math faculty since 2001. His research is in low dimension- al and symplectic geometry and topology. He became Chair in Fall 2019. Dear Friends of Berkeley Math, Due to Covid-19, this last year has been quite extraordinary for almost everyone. I have been deeply moved by the enormous efforts of members of our department to make the most of the The department’s weekly afternoon tea in virtual 1035 Evans Hall on gather.town. Some attendees are dressed as vampires and pumpkins, others are playing pictionary. circumstances and continue our excellence in teaching and research. rejoined the department as an Assistant Teaching Professor. Yingzhou Li, who works in Applied Mathematics, and Ruix- We switched to remote teaching in March with just two days iang Zhang, who works in Analysis, will join the department of preparation time, and for the most part will be teaching as Assistant Professors in Spring and Fall 2021, respectively. remotely at least through Spring 2021. As anyone who teach- es can probably tell you, teaching online is no easier than And we need to grow our faculty further, in order to meet very teaching in person, and often much more difficult. However, high teaching demand. In Spring 2020 we had over 900 mathe- developing online courses has also given us an opportunity to matics majors, and we awarded a record 458 undergraduate de- rethink how we can teach and interact with students. -
TRINITY COLLEGE Cambridge Trinity College Cambridge College Trinity Annual Record Annual
2016 TRINITY COLLEGE cambridge trinity college cambridge annual record annual record 2016 Trinity College Cambridge Annual Record 2015–2016 Trinity College Cambridge CB2 1TQ Telephone: 01223 338400 e-mail: [email protected] website: www.trin.cam.ac.uk Contents 5 Editorial 11 Commemoration 12 Chapel Address 15 The Health of the College 18 The Master’s Response on Behalf of the College 25 Alumni Relations & Development 26 Alumni Relations and Associations 37 Dining Privileges 38 Annual Gatherings 39 Alumni Achievements CONTENTS 44 Donations to the College Library 47 College Activities 48 First & Third Trinity Boat Club 53 Field Clubs 71 Students’ Union and Societies 80 College Choir 83 Features 84 Hermes 86 Inside a Pirate’s Cookbook 93 “… Through a Glass Darkly…” 102 Robert Smith, John Harrison, and a College Clock 109 ‘We need to talk about Erskine’ 117 My time as advisor to the BBC’s War and Peace TRINITY ANNUAL RECORD 2016 | 3 123 Fellows, Staff, and Students 124 The Master and Fellows 139 Appointments and Distinctions 141 In Memoriam 155 A Ninetieth Birthday Speech 158 An Eightieth Birthday Speech 167 College Notes 181 The Register 182 In Memoriam 186 Addresses wanted CONTENTS TRINITY ANNUAL RECORD 2016 | 4 Editorial It is with some trepidation that I step into Boyd Hilton’s shoes and take on the editorship of this journal. He managed the transition to ‘glossy’ with flair and panache. As historian of the College and sometime holder of many of its working offices, he also brought a knowledge of its past and an understanding of its mysteries that I am unable to match. -
Complex Analysis (Princeton Lectures in Analysis, Volume
COMPLEX ANALYSIS Ibookroot October 20, 2007 Princeton Lectures in Analysis I Fourier Analysis: An Introduction II Complex Analysis III Real Analysis: Measure Theory, Integration, and Hilbert Spaces Princeton Lectures in Analysis II COMPLEX ANALYSIS Elias M. Stein & Rami Shakarchi PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD Copyright © 2003 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Control Number 2005274996 ISBN 978-0-691-11385-2 British Library Cataloging-in-Publication Data is available The publisher would like to acknowledge the authors of this volume for providing the camera-ready copy from which this book was printed Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 5 7 9 10 8 6 To my grandchildren Carolyn, Alison, Jason E.M.S. To my parents Mohamed & Mireille and my brother Karim R.S. Foreword Beginning in the spring of 2000, a series of four one-semester courses were taught at Princeton University whose purpose was to present, in an integrated manner, the core areas of analysis. The objective was to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. The present series of books is an elaboration of the lectures that were given. While there are a number of excellent texts dealing with individual parts of what we cover, our exposition aims at a different goal: pre- senting the various sub-areas of analysis not as separate disciplines, but rather as highly interconnected. -
Completions of Period Mappings: Progress Report
COMPLETIONS OF PERIOD MAPPINGS: PROGRESS REPORT MARK GREEN, PHILLIP GRIFFITHS, AND COLLEEN ROBLES Abstract. We give an informal, expository account of a project to construct completions of period maps. 1. Introduction The purpose of this this paper is to give an expository overview, with examples to illus- trate some of the main points, of recent work [GGR21b] to construct \maximal" completions of period mappings. This work is part of an ongoing project, including [GGLR20, GGR21a], to study the global properties of period mappings at infinity. 1.1. Completions of period mappings. We consider triples (B; Z; Φ) consisting of a smooth projective variety B and a reduced normal crossing divisor Z whose complement B = BnZ has a variation of (pure) polarized Hodge structure p ~ F ⊂ V B ×π (B) V (1.1a) 1 B inducing a period map (1.1b) Φ : B ! ΓnD: arXiv:2106.04691v1 [math.AG] 8 Jun 2021 Here D is a period domain parameterizing pure, weight n, Q{polarized Hodge structures on the vector space V , and π1(B) Γ ⊂ Aut(V; Q) is the monodromy representation. Without loss of generality, Φ : B ! ΓnD is proper [Gri70a]. Let } = Φ(B) Date: June 10, 2021. 2010 Mathematics Subject Classification. 14D07, 32G20, 32S35, 58A14. Key words and phrases. period map, variation of (mixed) Hodge structure. Robles is partially supported by NSF DMS 1611939, 1906352. 1 2 GREEN, GRIFFITHS, AND ROBLES denote the image. The goal is to construct both a projective completion } of } and a surjective extension Φe : B ! } of the period map. We propose two such completions T B Φ }T (1.2) ΦS }S : The completion ΦT : B ! }T is maximal, in the sense that it encodes all the Hodge- theoretic information associated with the triple (B; Z; Φ).