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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, -
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). -
Contemporary Mathematics 310
CONTEMPORARY MATHEMATICS 310 Orbifolds in Mathematics and Physics Proceedings of a Conference on Mathematical Aspects of Orbifold String Theory May 4-8~ 2001 University of Wisconsin I Madison I Wisconsin Alejandro Adem Jack Morava Yongbin Ruan Editors http://dx.doi.org/10.1090/conm/310 Orbifolds in Mathematics and Physics CoNTEMPORARY MATHEMATICS 310 Orbifolds in Mathematics and Physics Proceedings of a Conference on Mathematical Aspects of Orbifold String Theory May 4-8, 2001 University of Wisconsin, Madison, Wisconsin Alejandro Adem Jack Morava Yongbin Ruan Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeThrck, managing editor Andreas Blass Andy R. Magid Michael Vogelius 2000 Mathematics Subject Classification. Primary 81 T30, 55N91, 17B69, 19M05. Library of Congress Cataloging-in-Publication Data Orbifolds in mathematics and physics : proceedings of a conference on mathematical aspects of orbifold string theory, May 4-8, 2001, University of Wisconsin, Madison, Wisconsin / Alejandro Adem, Jack Morava, Yongbin Ruan, editors. p. em. -(Contemporary mathematics, ISSN 0271-4132; 310) Includes bibliographical references. ISBN 0-8218-2990-4 (alk. paper) 1. Orbifolds-Congresses. 2. Mathematical physics-Congresses. I. Adem, Alejandro. II. Morava, Jack, 1944- III. Ruan, Yongbin, 1963- IV. Contemporary mathematics (Ameri- can Mathematical Society) : v. 310. QA613 .0735 2002 539. 7'2--dc21 2002034264 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. -
Curriculum Vitae Mark Alun Lewis FRSC
Curriculum vitae Mark Alun Lewis FRSC Address: Department of Mathematical and Statistical Sciences University of Alberta 545B CAB, Edmonton AB T6G 2G1 Canada Tel. (780) 492–0197 Fax: (780) 492–6836 e-mail: [email protected] Birth Date: December 7, 1962 Nationality: Canadian Degrees: University of Oxford D.Phil. in Mathematics (Mathematical Biology), November 1990. Thesis entitled “Analysis of Dynamic and Stationary Biological Pattern Formation.” Supervised by Professor J. D. Murray, FRS. University of Victoria, Canada B.Sc., Double Major in Biology and Combined Mathematics/Computer Science, May 1987, First Class. Positions: 7/01–now Professor and Senior Canada Research Chair in Mathematical Biology Department of Mathematical and Statistical Sciences and Department of Biological Sciences, University of Alberta. 1/02-8/17 Director, Centre for Mathematical Biology University of Alberta 7/12-6/14 Killam Research Fellow University of Alberta 9/11-12/11 Research Fellow Oxford Centre for Collaborative Applied Mathematics 10/11-12/11 Visiting Fellow Saint Catherine's College, Oxford 7/00–2/02 Professor Department of Mathematics, University of Utah. 7/95–7/00 Associate Professor Department of Mathematics, University of Utah. Curriculum Vitae, Mark Lewis Page 2 5/95–6/02 Adjunct Faculty Department of Biology, University of Utah. 7/93–now Affiliate Faculty Department of Applied Mathematics, University of Washington, Seattle. 4/99–7/99 Senior Visitor Institute for Industrial and Applied Mathematics, University of Minnesota. 9/98–12/98 Research Fellow Centre for Population Biology at Silwood Park, Imperial College, University of London. 95 winter Visiting Fellow Department of Ecology and Evolution, Princeton University (Sloan Research Fellow). -
Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances
LOCAL CHARACTERISTICS, ENTROPY AND LIMIT THEOREMS FOR SPANNING TREES AND DOMINO TILINGS VIA TRANSFER-IMPEDANCES Running Head: LOCAL BEHAVIOR OF SPANNING TREES Robert Burton 1 Robin Pemantle 2 3 Oregon State University ABSTRACT: Let G be a finite graph or an infinite graph on which ZZd acts with finite fundamental domain. If G is finite, let T be a random spanning tree chosen uniformly from all spanning trees of G; if G is infinite, methods from [Pem] show that this still makes sense, producing a random essential spanning forest of G. A method for calculating local characteristics (i.e. finite-dimensional marginals) of T from the transfer-impedance matrix is presented. This differs from the classical matrix-tree theorem in that only small pieces of the matrix (n-dimensional minors) are needed to compute small (n-dimensional) marginals. Calculation of the matrix entries relies on the calculation of the Green's function for G, which is not a local calculation. However, it is shown how the calculation of the Green's function may be reduced to a finite computation in the case when G is an infinite graph admitting a Zd-action with finite quotient. The same computation also gives the entropy of the law of T. These results are applied to the problem of tiling certain lattices by dominos { the so-called dimer problem. Another application of these results is to prove modified versions of conjectures of Aldous [Al2] on the limiting distribution of degrees of a vertex and on the local structure near a vertex of a uniform random spanning tree in a lattice whose dimension is going to infinity. -
A FIRST COURSE in PROBABILITY This Page Intentionally Left Blank a FIRST COURSE in PROBABILITY
A FIRST COURSE IN PROBABILITY This page intentionally left blank A FIRST COURSE IN PROBABILITY Eighth Edition Sheldon Ross University of Southern California Upper Saddle River, New Jersey 07458 Library of Congress Cataloging-in-Publication Data Ross, Sheldon M. A first course in probability / Sheldon Ross. — 8th ed. p. cm. Includes bibliographical references and index. ISBN-13: 978-0-13-603313-4 ISBN-10: 0-13-603313-X 1. Probabilities—Textbooks. I. Title. QA273.R83 2010 519.2—dc22 2008033720 Editor in Chief, Mathematics and Statistics: Deirdre Lynch Senior Project Editor: Rachel S. Reeve Assistant Editor: Christina Lepre Editorial Assistant: Dana Jones Project Manager: Robert S. Merenoff Associate Managing Editor: Bayani Mendoza de Leon Senior Managing Editor: Linda Mihatov Behrens Senior Operations Supervisor: Diane Peirano Marketing Assistant: Kathleen DeChavez Creative Director: Jayne Conte Art Director/Designer: Bruce Kenselaar AV Project Manager: Thomas Benfatti Compositor: Integra Software Services Pvt. Ltd, Pondicherry, India Cover Image Credit: Getty Images, Inc. © 2010, 2006, 2002, 1998, 1994, 1988, 1984, 1976 by Pearson Education, Inc., Pearson Prentice Hall Pearson Education, Inc. Upper Saddle River, NJ 07458 All rights reserved. No part of this book may be reproduced, in any form or by any means, without permission in writing from the publisher. Pearson Prentice Hall™ is a trademark of Pearson Education, Inc. Printed in the United States of America 10987654321 ISBN-13: 978-0-13-603313-4 ISBN-10: 0-13-603313-X Pearson Education, Ltd., London Pearson Education Australia PTY. Limited, Sydney Pearson Education Singapore, Pte. Ltd Pearson Education North Asia Ltd, Hong Kong Pearson Education Canada, Ltd., Toronto Pearson Educacion´ de Mexico, S.A. -
View This Volume's Front and Back Matter
CONTEMPORARY MATHEMATICS 407 Recent Developments in Algebraic Topology A Conference to Celebrate Sam Gitler' s 70th Birthday December 3-6, 2003 San Miguel de Allende, Mexico Alejandro Adem" Jesus Gonzalez Guillermo Pastor Editors http://dx.doi.org/10.1090/conm/407 Recent Developments in Algebraic Topology CoNTEMPORARY MATHEMATICS 407 Recent Developments in Algebraic Topology A Conference to Celebrate Sam Gitler' s 70th Birthday December 3-6,2003 San Miguel de Allende, Mexico Alejandro Adem Jesus Gonzalez Guillermo Pastor Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeThrck, managing editor George Andrews Carlos Berenstein Andreas Blass Abel Klein 2000 Mathematics Subject Classification. Primary 55-06. Library of Congress Cataloging-in-Publication Data Recent developments in algebraic topology : conference to celebrate Sam Gitler's 70th birthday, algebraic topology, December 3--6, 2003, San Miguel de Allende, Mexico / Alejandro Adem, Jesus GonzaJ.ez, Guillermo Pastor, editors. p. em. -(Contemporary mathematics, ISSN 0271-4132 ; 407) ISBN 0-8218-3676-5 (alk. paper) 1. Algebraic topology. I. Gitler, Samuel. II. Adem, Alejandro. III. GonzaJ.ez, Jesus, 1966- IV. Pastor, Guillermo, 1952- V. Series: Contemporary mathematics (American Mathematical Society) ; v. 407. QA612.R43 2006 514'.2--dc22 2006044458 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. -
JOSE ADEM (1921-1991): a BIOGRAPHICAL SKETCH De La
JOSE ADEM (1921-1991): A BIOGRAPHICAL SKETCH Jose Adem was born on October 27, 1921 in Tuxpan, Veracruz (Mexico). From an early age he showed great interest in mathematics, and in 1941 he moved to Mexico City to study engineering and mathematics at the National Autonomous University of Mexico. Once he had completed the basic courses, Adem developed an interest in research in pure mathematics. Given the existing conditions in Mexico at the time, it would normally have been very difficult for him to enter this field. Fortunately (and as consequence of the situation in Europe) the famous mathematician Solomon Lefschetz had decided to spend long periods in Mexico, interacting with the small Mexican scientific community. Lefschetz recognized Adem's valuable mathematical talent and decided to send him to Princeton University as a graduate student. · Towards 1950, the development of mathematics had extended beyond the formal classical areas and was growing at an accelerated pace through in teractions between geometry, algebra and analysis. In particular, algebraic methods were introduced for studying topological situations. This princi ple, developed under the tutelage of Lefschetz among others, represented an exceptional breakthrough for mathematics. Among the most successful indi viduals expounding this new philosphy was Norman Steenrod, under whose guidance Adem had the good fortune of writing his doctoral dissertation. I will not repeat here the technical details of Adem's thesis, suffice it to say that it was of such a fundamental nature that the '½.dem relations" continue (even today) to have important consequences in topology and its applications. Upon his return to Mexico, Adem carried out several teaching activities at the National Autonomous University of Mexico and afterwards he joined the recently created Center for Research and Advanced Studies of the National Polytechnic Institute, as Head of the Department of Mathematics, where he formed a school and a tradition. -
Perfect Matchings for the Three-Term Gale-Robinson Sequences Mireille Bousquet-Mélou, James Propp, Julian West
Perfect matchings for the three-term Gale-Robinson sequences Mireille Bousquet-Mélou, James Propp, Julian West To cite this version: Mireille Bousquet-Mélou, James Propp, Julian West. Perfect matchings for the three-term Gale- Robinson sequences. The Electronic Journal of Combinatorics, Open Journal Systems, 2009, 16 (1), paper R125. hal-00396223 HAL Id: hal-00396223 https://hal.archives-ouvertes.fr/hal-00396223 Submitted on 17 Jun 2009 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. PERFECT MATCHINGS FOR THE THREE-TERM GALE-ROBINSON SEQUENCES MIREILLE BOUSQUET-MELOU,´ JAMES PROPP, AND JULIAN WEST Abstract. In 1991, David Gale and Raphael Robinson, building on explorations carried out by Michael Somos in the 1980s, introduced a three-parameter family of rational recurrence relations, each of which (with suitable initial conditions) appeared to give rise to a sequence of integers, even though a priori the recurrence might produce non-integral rational numbers. Throughout the ’90s, proofs of integrality were known only for individual special cases. In the early ’00s, Sergey Fomin and Andrei Zelevinsky proved Gale and Robinson’s integrality conjecture. They actually proved much more, and in particular, that certain bivariate ratio- nal functions that generalize Gale-Robinson numbers are actually polynomials with integer coefficients. -
Year in Review 2009
Pacific Institute for the Mathematical Sciences Year in Review 2009 University of British Columbia • Simon Fraser University • University of Victoria • University of Calgary University of Alberta • University of Lethbridge • University of Saskatchewan • University of Regina University of Washington • Portland State University Table of Contents From the Director 1 About PIMS 2 Collaborative Research Groups 3-4 International Graduate Training Centre in Mathematical Biology 5-6 Thematic Programs 7-8 Postdoctoral Fellows 9 Conferences, Workshops, Summer Schools, and Short Courses 10 Industrial Activities and Prizes & Awards 11 Educational Programs and International Agreements 12 Planned Events for 2010 13 Organization PIMS Central Office, Univ. British Columbia Dr. Alejandro Adem, Director Dr. G. M. “Bud” Homsy, Deputy Director Dr. Mark Gotay, Associate Director Ms. Rebecca Cadwalader, Manager, Finance and Administration PIMS Site Directors Dr. Steve Ruuth, Simon Fraser Univ. Dr. Charles Doran, Univ. Alberta Dr. Clifton Cunningham, Univ. Calgary Dr. Donald W. Stanley, Univ. Regina Dr. Ian Putnam, Univ. Victoria Gunther Uhlmann, Univ. Washington Dr. Raj Srinivasan, Univ. Saskatchewan Dr. G. M. “Bud” Homsy, Univ. British Columbia PIMS Board of Directors Dr. Brian H. Russell (Chair), Vice President, Hampson-Russell Software Services Dr. Alejandro Adem, Director of PIMS and Department of Mathematics, Univ. British Columbia Mr. Fernando Aguilar, President, Geophysical Services Americas, CGGVeritas Dr. Charmaine Dean, Department of Statistics and Actuarial Science, Simon Fraser Univ. Dr. Jo-Anne R. Dillon, Dean, College of Arts and Sciences and Department of Biology, Univ. Saskatchewan Dr. Darrell Duffie, School of Business, Stanford Univ. Dr. Renee Elio, Associate Vice-President (Research) and Department of Computer Science, Univ.