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Notices of the American Mathematical Society
ISSN 0002-9920 of the American Mathematical Society February 2006 Volume 53, Number 2 Math Circles and Olympiads MSRI Asks: Is the U.S. Coming of Age? page 200 A System of Axioms of Set Theory for the Rationalists page 206 Durham Meeting page 299 San Francisco Meeting page 302 ICM Madrid 2006 (see page 213) > To mak• an antmat•d tub• plot Animated Tube Plot 1 Type an expression in one or :;)~~~G~~~t;~~i~~~~~~~~~~~~~:rtwo ' 2 Wrth the insertion point in the 3 Open the Plot Properties dialog the same variables Tl'le next animation shows • knot Plot 30 Animated + Tube Scientific Word ... version 5.5 Scientific Word"' offers the same features as Scientific WorkPlace, without the computer algebra system. Editors INTERNATIONAL Morris Weisfeld Editor-in-Chief Enrico Arbarello MATHEMATICS Joseph Bernstein Enrico Bombieri Richard E. Borcherds Alexei Borodin RESEARCH PAPERS Jean Bourgain Marc Burger James W. Cogdell http://www.hindawi.com/journals/imrp/ Tobias Colding Corrado De Concini IMRP provides very fast publication of lengthy research articles of high current interest in Percy Deift all areas of mathematics. All articles are fully refereed and are judged by their contribution Robbert Dijkgraaf to the advancement of the state of the science of mathematics. Issues are published as S. K. Donaldson frequently as necessary. Each issue will contain only one article. IMRP is expected to publish 400± pages in 2006. Yakov Eliashberg Edward Frenkel Articles of at least 50 pages are welcome and all articles are refereed and judged for Emmanuel Hebey correctness, interest, originality, depth, and applicability. Submissions are made by e-mail to Dennis Hejhal [email protected]. -
Tōhoku Rick Jardine
INFERENCE / Vol. 1, No. 3 Tōhoku Rick Jardine he publication of Alexander Grothendieck’s learning led to great advances: the axiomatic description paper, “Sur quelques points d’algèbre homo- of homology theory, the theory of adjoint functors, and, of logique” (Some Aspects of Homological Algebra), course, the concepts introduced in Tōhoku.5 Tin the 1957 number of the Tōhoku Mathematical Journal, This great paper has elicited much by way of commen- was a turning point in homological algebra, algebraic tary, but Grothendieck’s motivations in writing it remain topology and algebraic geometry.1 The paper introduced obscure. In a letter to Serre, he wrote that he was making a ideas that are now fundamental; its language has with- systematic review of his thoughts on homological algebra.6 stood the test of time. It is still widely read today for the He did not say why, but the context suggests that he was clarity of its ideas and proofs. Mathematicians refer to it thinking about sheaf cohomology. He may have been think- simply as the Tōhoku paper. ing as he did, because he could. This is how many research One word is almost always enough—Tōhoku. projects in mathematics begin. The radical change in Gro- Grothendieck’s doctoral thesis was, by way of contrast, thendieck’s interests was best explained by Colin McLarty, on functional analysis.2 The thesis contained important who suggested that in 1953 or so, Serre inveigled Gro- results on the tensor products of topological vector spaces, thendieck into working on the Weil conjectures.7 The Weil and introduced mathematicians to the theory of nuclear conjectures were certainly well known within the Paris spaces. -
Professor AO Kuku
CURRICULUM VITAE Professor A.O. Kuku I. Personal Details Date of Birth: March 20, 1941 Marital Status: Married with four children Nationality: Nigerian Sex: Male U.S.A. Permanent Resident (Green card) since March 2002 II CURRENT POSITION: Professor of Mathematics, Grambling State University, Grambling, LA, USA. Since August 2008 III. Position held in the last five years (a) Member, Institute for Advanced Study Princeton, NJ, USA. Sept. 2003-Aug. 2004 (b) Visiting Research Professor, MSRI Berkeley, CA, USA. Aug-Dec 2004 (c) Visiting Professor, OSU (Ohio State Univ.) Columbus, OH, USA 2005 (d) Distinguished Visiting Professor, Miami 2005 – 2006 University, Oxford, OH, USA (e) Visiting Professor, Universitat Bielefeld, Germany ,USA. 2006 (f) Visiting Professor, IHES, Paris, France 2006 (g) Visiting Professor, Max Planck Inst. Fur Mathematik, Bonn, Germany 2007 (h) Visiting Professor, National Mathema- tical Centre, Abuja, Nigeria. 2007 (i) Visiting professor, The University of Iowa, Iowa-City, USA 2007-2008 (j) Visiting Professor, National Mathema- Tical Centre, Abuja, Nigeria. 2008 IV. Educational Institutions Attended (University Education) 1.Makerere University College, Kampala, Uganda (then under special relationship with the University of London) 1962-1965 2.University of Ibadan, Nigeria 1966-1971 1 3Columbia University, New York City, USA (To write my Ph.D thesis) (Thesis written under Professor Hyman Bass) 1970-1971 V. Academic Qualification (with dates and granting bodies) 1.B. Sc (Special- Honours) Mathematics, University of London 1965 2.M. Sc. (Mathematics), University of Ibadan, Nigeria. 1968 3.Ph. D. (Mathematics), University of Ibadan, Nigeria 1971 (Thesis written under Professor Hyman Bass of Columbia Univerisity, New York). -
Curriculum Vitae
CURRICULUM VITAE Professor Aderemi Oluyomi Kuku Ph.D, FAMS (USA), FTWAS, FAAS, FAS (Nig), FNMS, FMAN, FASI, OON, NNOM I. Personal Details Date of Birth: March 20, 1941 Marital Status: Married with four children Nationality: USA/Nigeria. Sex: Male II CONTACT ADDRESSES: Email [email protected] Website: www.aderemikuku.com MAILING ADDRESS: USA: 307 Penny Lane, Apt 5, Ruston, LA 71270, USA. NIGERIA(a) 2 Amure Street, Kongi-NewBodija, Ibadan, Oyo State, Nigeria. (b) Univerdityof Ibadan Post office Box 22574 Ibadan, Oyo State , Nigeria. PHONE NUMBERS: USA: +1-318-255-6433 Cell: +1-224-595-4854 NIGERIA: +234-70-56871969; +234-80-62329855 III. Positions held in the last 14 years (a) Member, Institute for Advanced Study Princeton, NJ, USA. Sept. 2003-Aug. 2004 (b) Visiting Research Professor, MSRI-- (Math. Sci. Research Inst) Berkeley, CA, USA. Aug-Dec, 2004 (c) Visiting Professor, OSU (Ohio State Univ.) Columbus, OH, USA 2005 (d) Distinguished Visiting Professor, Miami 2005 – 2006 University, Oxford, OH, USA (e) Visiting Professor, Universitat Bielefeld, Germany 2006 (f) Visiting Professor, IHES, Paris, France 2006 (g) Visiting Professor, Max Planck Inst. Fur Mathematik, Bonn, Germany 2007 1 (h) Distinguished Visiting Professor, National Mathematical Centre, Abuja, Nigeria. 2007 (i) Visiting Professor, The University of Iowa, Iowa-City, USA 2007-2008 (j) Professor of Mathematics, Grambling State University, Grambling, LA 71245, USA 2008-2009 (k) William W. S. Claytor Endowed Professor of Mathematics Grambling State University, Grambling, LA 71245, USA. 2009-2014 (l) Distinguished Visiting Professor, National Mathematical Centre, Abuja, Nigeria. Summer 2009, 2010,2011, 2012, 2013, 2014 (m) Distinguished Visiting Professor of Mathematics, IMSP—Institut demathematiques etde Sciences Physiques, Porto Novo, BeninRepublic,Nov/Dec,2015. -
Strength in Numbers: the Rising of Academic Statistics Departments In
Agresti · Meng Agresti Eds. Alan Agresti · Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics DepartmentsStatistics in the U.S. Rising of Academic The in Numbers: Strength Statistics Departments in the U.S. Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. Alan Agresti • Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. 123 Editors Alan Agresti Xiao-Li Meng Department of Statistics Department of Statistics University of Florida Harvard University Gainesville, FL Cambridge, MA USA USA ISBN 978-1-4614-3648-5 ISBN 978-1-4614-3649-2 (eBook) DOI 10.1007/978-1-4614-3649-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012942702 Ó Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. -
Prizes and Awards Session
PRIZES AND AWARDS SESSION Wednesday, July 12, 2021 9:00 AM EDT 2021 SIAM Annual Meeting July 19 – 23, 2021 Held in Virtual Format 1 Table of Contents AWM-SIAM Sonia Kovalevsky Lecture ................................................................................................... 3 George B. Dantzig Prize ............................................................................................................................. 5 George Pólya Prize for Mathematical Exposition .................................................................................... 7 George Pólya Prize in Applied Combinatorics ......................................................................................... 8 I.E. Block Community Lecture .................................................................................................................. 9 John von Neumann Prize ......................................................................................................................... 11 Lagrange Prize in Continuous Optimization .......................................................................................... 13 Ralph E. Kleinman Prize .......................................................................................................................... 15 SIAM Prize for Distinguished Service to the Profession ....................................................................... 17 SIAM Student Paper Prizes .................................................................................................................... -
A Beautiful Math : John Nash, Game Theory, and the Modern Quest for a Code of Nature / Tom Siegfried
A BEAUTIFULA BEAUTIFUL MATH MATH JOHN NASH, GAME THEORY, AND THE MODERN QUEST FOR A CODE OF NATURE TOM SIEGFRIED JOSEPH HENRY PRESS Washington, D.C. Joseph Henry Press • 500 Fifth Street, NW • Washington, DC 20001 The Joseph Henry Press, an imprint of the National Academies Press, was created with the goal of making books on science, technology, and health more widely available to professionals and the public. Joseph Henry was one of the founders of the National Academy of Sciences and a leader in early Ameri- can science. Any opinions, findings, conclusions, or recommendations expressed in this volume are those of the author and do not necessarily reflect the views of the National Academy of Sciences or its affiliated institutions. Library of Congress Cataloging-in-Publication Data Siegfried, Tom, 1950- A beautiful math : John Nash, game theory, and the modern quest for a code of nature / Tom Siegfried. — 1st ed. p. cm. Includes bibliographical references and index. ISBN 0-309-10192-1 (hardback) — ISBN 0-309-65928-0 (pdfs) 1. Game theory. I. Title. QA269.S574 2006 519.3—dc22 2006012394 Copyright 2006 by Tom Siegfried. All rights reserved. Printed in the United States of America. Preface Shortly after 9/11, a Russian scientist named Dmitri Gusev pro- posed an explanation for the origin of the name Al Qaeda. He suggested that the terrorist organization took its name from Isaac Asimov’s famous 1950s science fiction novels known as the Foun- dation Trilogy. After all, he reasoned, the Arabic word “qaeda” means something like “base” or “foundation.” And the first novel in Asimov’s trilogy, Foundation, apparently was titled “al-Qaida” in an Arabic translation. -
Lecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold and 13. Eckmann 551 Algebraic K-Theory Proceedings of the Conference Held at Northwestern University Evanston, January 12-16, 1976 Edited by Michael R. Stein Springer-Verlag Berlin. Heidelberg- New York 19 ? 6 Editor Michael R. Stein Department of Mathematics Northwestern University Evanston, I1. 60201/USA Library of Congress Cataloging in Publication Data Main entry under title: Algebraic K-theory. (Lecture notes in mathematics ; 551) Bibliography: p. Includes index. i. K-theory--Congresses. 2 ~ Homology theory-- Congresses. 3. Rings (Algebra)--Congresses. I. Stein, M~chael R., 1943- II. Series: Lecture notes in mathematics (Berlin) ; 551. QAB,I,q8 no. 551 [QA61~.33] 510'.8s [514'.23] 76-~9894 ISBN AMS Subject Classifications (1970): 13D15, 14C99,14 F15,16A54,18 F25, 18H10, 20C10, 20G05, 20G35, 55 El0, 57A70 ISBN 3-540-07996-3 Springer-Verlag Berlin 9Heidelberg 9New York ISBN 0-38?-0?996-3 Springer-Verlag New York 9Heidelberg 9Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, re- printing, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under w 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. 9 by Springer-Verlag Berlin 9Heidelberg 1976 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. Introduction A conference on algebraic K-theory, jointly supported by the National Science Foundation and Northwestern University, was held at Northwestern University January 12-16, 1976. -
Algebraic Topology August 5-10 2007, Oslo, Norway
THE ABEL SYMPOSIUM 2007 ALGEBRAIC TOPOLOGY AUGUST 5-10 2007, OSLO, NORWAY On behalf of the Abel Board, the Norwegian Mathematical Society organizes the Abel Symposia, a series of high level research conferences. The topic for the 2007 Abel Symposium is Algebraic Topology, with emphasis on the interaction between the themes: • Algebraic K-theory and motivic homotopy theory • Structured ring spectra and homotopical algebraic geometry • Elliptic objects and quantum field theory The organizing committee consists of Eric Friedlander (Northwestern), Stefan Schwede (Bonn) and Graeme Segal (Oxford), together with the local organizers Nils A. Baas (Trondheim), Bjørn Ian Dundas (Bergen), Bjørn Jahren (Oslo) and John Rognes (Oslo). The conference will take place at the Department of Mathematics, University of Oslo, from Sunday August 5th to Friday August 10th. There will be plenary lectures from Monday August 6th through Thursday August 9th, including survey lectures on the major recent advances in the three themes, together with more specialized lectures. http://abelsymposium.no/2007 The following invited speakers have agreed to contribute with lectures ((*) = to be confirmed): Matt Ando (UIUC) • John Baez (UCR) • Mark Behrens (MIT) • Ralph Cohen (Stanford) • Hélène Esnault (Essen) • Dan Freed (Austin) • Lars Hesselholt (MIT/Nagoya) • Mike Hopkins (Harvard) • Uwe Jannsen (Regensburg) • Marc Levine (Northeastern) • Jacob Lurie (Harvard) • Alexander Merkurjev (UCLA) • Fabien Morel (München) • Charles Rezk (UIUC) • Stefan Stolz (Notre Dame) • Neil Strickland (Sheffield) • Dennis Sullivan (SUNY) • Andrei Suslin (Northwestern) (*) • Ulrike Tillmann (Oxford) • Bertrand Toën (Toulouse). -
Vanishing Theorems for Real Algebraic Cycles
VANISHING THEOREMS FOR REAL ALGEBRAIC CYCLES JEREMIAH HELLER AND MIRCEA VOINEAGU Abstract. We establish the analogue of the Friedlander-Mazur conjecture for Teh's reduced Lawson homology groups of real varieties, which says that the reduced Lawson homology of a real quasi-projective variety X vanishes in homological degrees larger than the dimension of X in all weights. As an application we obtain a vanishing of homotopy groups of the mod-2 topolog- ical groups of averaged cycles and a characterization in a range of indices of dos Santos' real Lawson homology as the homotopy groups of the topological group of averaged cycles. We also establish an equivariant Poincare dual- ity between equivariant Friedlander-Walker real morphic cohomology and dos Santos' real Lawson homology. We use this together with an equivariant ex- tension of the mod-2 Beilinson-Lichtenbaum conjecture to compute some real Lawson homology groups in terms of Bredon cohomology. Contents 1. Introduction 1 2. Equivariant Homotopy and Cohomology 5 3. Topological Spaces of Cycles 6 4. Poincare Duality 14 5. Compatibility of Cycle Maps 22 6. Vanishing Theorem 30 7. Reduced Topological Cocycles 36 Appendix A. Topological Monoids 42 Appendix B. Tractable Monoid Actions 45 References 48 1. Introduction Let X be a quasi-projective real variety. The Galois group G = Gal(C=R) acts on Zq(XC), the topological group of q-cycles on the complexification of X. Cycles on the real variety X correspond to cycles on XC which are fixed by conjugation. Inside G the topological group Zq(XC) of cycles fixed by conjugation is the topological av group Zq(XC) of averaged cycles which are the cycles of the form α + α. -
References Is Provisional, and Will Grow (Or Shrink) As the Course Progresses
Note: This list of references is provisional, and will grow (or shrink) as the course progresses. It will never be comprehensive. See also the references (and the book) in the online version of Weibel's K- Book [40] at http://www.math.rutgers.edu/ weibel/Kbook.html. References [1] Armand Borel and Jean-Pierre Serre. Le th´eor`emede Riemann-Roch. Bull. Soc. Math. France, 86:97{136, 1958. [2] A. K. Bousfield. The localization of spaces with respect to homology. Topology, 14:133{150, 1975. [3] A. K. Bousfield and E. M. Friedlander. Homotopy theory of Γ-spaces, spectra, and bisimplicial sets. In Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II, volume 658 of Lecture Notes in Math., pages 80{130. Springer, Berlin, 1978. [4] Kenneth S. Brown and Stephen M. Gersten. Algebraic K-theory as gen- eralized sheaf cohomology. In Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pages 266{ 292. Lecture Notes in Math., Vol. 341. Springer, Berlin, 1973. [5] William Dwyer, Eric Friedlander, Victor Snaith, and Robert Thoma- son. Algebraic K-theory eventually surjects onto topological K-theory. Invent. Math., 66(3):481{491, 1982. [6] Eric M. Friedlander and Daniel R. Grayson, editors. Handbook of K- theory. Vol. 1, 2. Springer-Verlag, Berlin, 2005. [7] Ofer Gabber. K-theory of Henselian local rings and Henselian pairs. In Algebraic K-theory, commutative algebra, and algebraic geometry (Santa Margherita Ligure, 1989), volume 126 of Contemp. Math., pages 59{70. Amer. Math. Soc., Providence, RI, 1992. [8] Henri Gillet and Daniel R. -
CURRICULUM VITAE CRISTINA BALLANTINE Anthony and Renee
CURRICULUM VITAE CRISTINA BALLANTINE Anthony and Renee Marlon Professor in the Sciences Department of Mathematics and Computer Science College of the Holy Cross Phone: (o) 508-793-3940 e{mail: [email protected] Research Interests Number Theory, Automorphic Forms and Representation Theory, Buildings, Algebraic Combina- torics, Graph Theory, Visualization of Complex Functions. Education Ph.D. University of Toronto, Canada (November 1998) Advisor: Professor James Arthur Thesis: Hypergraphs and Automorphic Forms M.Sc. University of Toronto, Canada (November 1992) Diplom University of Stuttgart, Germany (1988) Academic Appointments Sept. 2018 { Present College of the Holy Cross: Anthony and Renee Marlon Professor in the Sciences Sept. 2014 { Aug. 2018 College of the Holy Cross: Professor Sept. 2015 { Dec. 2015 ICERM (Brown University): Visiting Researcher Sept. 2007 { Aug. 2014 College of the Holy Cross: Associate Professor Jan. 2013 { May 2013 ICERM (Brown University): Visiting Researcher Sept. 2002 { Aug. 2007 College of the Holy Cross: Assistant Professor Sept. 2004 { July 2005 Universit¨atM¨unster: Fulbright Research Scholar Sept. 2000 { Aug. 2002 Dartmouth College: J.W. Young Research Instructor Sept. 1999 { Aug. 2000 Bowdoin College: Visiting Assistant Professor Sept. 1998 { Aug. 1999 University of Wyoming: Visiting Assistant Professor Sept. 1996 { Jan. 1998 University of Toronto, Canada: Instructor Aug. 1994 { Dec. 1994 Santa Rosa Junior College, CA: Instructor Research and Publications Refereed Research Papers 1. Almost partition identities (with George E. Andrews), submitted. 2. A Combinatorial proof of an Euler identity type theorem of Andrews (with Richard Bielak), submitted. 3. Quasisymmetric Power Sums (with Zajj Daugherty, Angela Hicks, Sarah Mason and Elizabeth Niese), 35 pp. submitted. 4.