AMS Officers and Committee Members

Total Page:16

File Type:pdf, Size:1020Kb

AMS Officers and Committee Members Of®cers and Committee Members Numbers to the left of headings are used as points of reference 2. Council in an index to AMS committees which follows this listing. Primary and secondary headings are: 2.0.1. Of®cers of the AMS 1. Of®cers President Arthur M. Jaffe 1998 1.1. Liaison Committee President-Elect Felix E. Browder 1998 2. Council Vice-Presidents Michael Aschbacher 1998 2.1. Executive Committee of the Council Jennifer Tour Chayes 2000 3. Board of Trustees H. Blaine Lawson, Jr. 1999 4. Committees 4.1. Committees of the Council Secretary Robert M. Fossum 1998 4.2. Editorial Committees Associate Secretaries* Robert J. Daverman 1998 4.3. Committees of the Board of Trustees Susan J. Friedlander 1999 4.4. Committees of the Executive Committee and Board of Bernard Russo 2001 Trustees Lesley M. Sibner 1998 4.5. Internal Organization of the AMS Treasurer Franklin P. Peterson 1998 4.6. Program and Meetings Associate Treasurer B. A. Taylor 1998 4.7. Status of the Profession 4.8. Prizes and Awards 4.9. Institutes and Symposia 2.0.2. Representatives of Committees 4.10. Joint Committees Bulletin Haynes R. Miller 1999 5. Representatives Colloquium Susan J. Friedlander 1998 6. Index Executive Committee John B. Conway 2000 Terms of members expire on January 31 following the year given unless otherwise speci®ed. Executive Committee Steven George Krantz 1998 Executive Committee Andrew M. Odlyzko 1999 Journal of the AMS Benedict H. Gross 2000 Mathematical Reviews Hugh L. Montgomery 1998 1. Of®cers Mathematical Surveys and Monographs Tudor Stefan Ratiu 2000 President Arthur M. Jaffe 1998 Mathematics of President-Elect Felix E. Browder 1998 Computation Lars B. Wahlbin 1997 Vice-Presidents Michael Aschbacher 1998 Proceedings Clifford J. Earle, Jr. 2000 Jennifer Tour Chayes 2000 Transactions and H. Blaine Lawson, Jr. 1999 Memoirs Peter B. Shalen 1999 Secretary Robert M. Fossum 1998 Associate Secretaries Robert J. Daverman 1998 2.0.3. Members-at-Large Susan J. Friedlander 1999 Bernard Russo 2001 Francis Bonahon 1999 Andrew M. Odlyzko 1998 Lesley M. Sibner 1998 David M. Bressoud 1998 Karen Parshall 2000 Treasurer Franklin P. Peterson 1998 Robert L. Bryant 2000 Gail D. L. Ratcliff 1999 Associate Treasurer B. A. Taylor 1998 Gail A. Carpenter 1998 M. Beth Ruskai 2000 John B. Conway 1998 Joel H. Spencer 1999 1.1. Liaison Committee Frederick P. Gardiner 1999 Michael Starbird 2000 Jane M. Hawkins 2000 Karen Vogtmann 1999 All members of this committee serve ex of®cio. Krystyna M. Kuperberg 1998 Robert M. Fossum Chair Arthur M. Jaffe * Only one Associate Secretary at a time is a voting member of the Donald E. McClure Council, namely the cognizant Associate Secretary for the scienti®c Franklin P. Peterson sessions. OCTOBER 1998 NOTICES OF THE AMS 1215 Of®cers and Committee Members 2.1. Executive Committee of the Council Associate Editors for Research Reports Felix E. Browder ex of®cio John M. Franks 1998 Richard M. Schoen 1998 John B. Conway 2000 Eric M. Friedlander 1998 David A. Vogan, Jr. 1998 Robert M. Fossum ex of®cio Barry Mazur 1998 Robert J. Zimmer 1999 Arthur M. Jaffe ex of®cio Daniel Ruberman 1998 Steven George Krantz 1998 Andrew M. Odlyzko 1999 Associate Editors for Research ± Expository Surveys Joel Spencer 2001 John C. Baez 1998 Karen Vogtmann 1999 Bruce K. Driver 1998 Nolan R. Wallach 1998 Kenneth Ribet 1999 3. Board of Trustees 4.2.3. Collected Works Roy L. Adler 2002 Jonathan Alperin 2000 Hyman Bass 1998 Elliott H. Lieb 1999 Michael G. Crandall 2000 Cathleen S. Morawetz 2000 Arthur M. Jaffe ex of®cio Secretary Andy R. Magid 2001 4.2.4. Colloquium Chair Donald E. McClure 1999 Joan S. Birman 2000 Franklin P. Peterson ex of®cio Chair Susan J. Friedlander 1998 B. A. Taylor ex of®cio Stephen Lichtenbaum 1999 4.2.5. Contemporary Mathematics Andreas Blass 2001 4. Committees Chair Dennis DeTurck 1998 Andy R. Magid 1998 Michael Vogelius 2001 4.1. Committees of the Council 4.2.6. Electronic Research Announcements Standing Committees Stuart Antman 1999 4.1.1. Editorial Boards Douglas N. Arnold 2000 Hyman Bass 1998 Chair Eric D. Bedford 1999 Dimitri Burago 2000 Sun-Yung Alice Chang 1998 Andrew J. Granville 1998 Alexandre J. Chorin 1999 David Jerison 2000 Mark Freidlin 1999 Abel Klein 2000 James G. Glimm 2000 Richard S. Palais 1999 Ronald L. Graham 2000 Chair Svetlana R. Katok 2000 4.1.2. Nominating Committee Yitzhak Katznelson 1998 Terms begin on January 1 David Kazhdan 1998 Sylvain E. Cappell 1998 Alexander S. Kechris 1999 Eric M. Friedlander 1998 Alexandre A. Kirillov 1999 Jane P. Gilman 1998 Frances C. Kirwan 1999 Barbara L. Osofsky 1999 Krystyna M. Kuperberg 1999 John C. Polking 1999 Robert K. Lazarsfeld 1998 Paul H. Rabinowitz 2000 Grigorii A. Margulis 1999 Chair James D. Stasheff 1999 Hugh L. Montgomery 2000 Elias M. Stein 2000 Walter David Neumann 2000 Sylvia M. Wiegand 2000 Klaus Schmidt 2000 Richard M. Schoen 1998 4.2. Editorial Committees Masamichi Takesaki 2000 Michael E. Taylor 1998 4.2.1. Abstracts Editorial Committee Thomas H. Wolff 1999 Zhihong (Jeff) Xia 2000 All members of this committee serve ex of®cio. Don Zagier 1998 Robert J. Daverman E®m Zelmanov 2000 Chair Robert M. Fossum Robert J. Zimmer 1998 Susan J. Friedlander Bernard Russo 4.2.7. Graduate Studies in Mathematics Lesley M. Sibner Chair James E. Humphreys 2000 David J. Saltman 1999 4.2.2. Bulletin (New Series) David Sattinger 1998 David Eisenbud 1998 Julius L. Shaneson 1998 Chair Haynes R. Miller 1999 Bhama Srinivasan 2000 4.2.8. Journal of the AMS Associate Editors for Book Reviews William Fulton 1998 Chair Benedict H. Gross 2000 Martin D. Davis 1998 Ruth J. Williams 1999 Carlos E. Kenig 2000 Jim Douglas 1999 Wolfgang Ziller 1998 Bernd Sturmfels 2001 Alex J. Wilkie 2000 2000 Clifford Taubes 2000 1216 NOTICES OF THE AMS VOLUME 45, NUMBER 9 Of®cers and Committee Members Associate Editors Roe Goodman 1999 Michael Handel 2001 James G. Arthur 1999 Robert K. Lazarsfeld 1999 Dennis A. Hejhal 1999 Alexander Beilinson 2001 Grigorii A. Margulis 2000 Carl Jockusch, Jr. 2000 Ingrid Daubechies 2000 Curtis McMullen 1999 Coordinating Linda Keen 2001 Michael J. Hopkins 1999 Marina Ratner 2000 David R. Larson 2000 Ehud Hrushovski 2000 Richard M. Schoen 2000 Coordinating Peter W. K. Li 1998 Henryk Iwaniec 1999 Richard P. Stanley 2000 Wei Y. Loh 1999 Sergio Klainerman 1998 W. Hugh Woodin 1999 David Rohrlich 2000 4.2.9. Mathematical Reviews Leslie Saper 1999 AMS staff contact: Jane E. Kister. Stanley A. Sawyer 1998 David Sharp 1999 Jonathan L. Alperin 1997 Lesley M. Sibner 2001 Yuji Ito 2000 Coordinating Lance W. Small 1999 Jean-Louis Loday 1999 Hal L. Smith 1999 Joyce McLaughlin 1999 Christopher D. Sogge 2001 Chair Hugh L. Montgomery 1998 Ronald M. Solomon 1998 Clarence Wilkerson 1998 John Stembridge 2001 4.2.10. Mathematical Surveys and Monographs Wolmer V. Vasconcelos 1999 Georgia Benkhart 2000 4.2.14. Proceedings of Symposia in Applied Peter Landweber 2000 Mathematics Chair Tudor Stefan Ratiu 2000 Marsha J. Berger 2000 Michael Renardy 1998 Chair Peter S. Constantin 1998 4.2.11. Mathematics of Computation Eitan Tadmor 1999 Andrew M. Odlyzko 1997 4.2.15. Transactions and Memoirs Stanley J. Osher 1998 Rodrigo Banuelos 1999 G. W. Stewart 1998 William Beckner 1998 Chair Lars B. Wahlbin 1997 Bruce Blackadar 2001 Associate Editors Daniel M. Burns 1998 Charles W. Curtis 2001 David D. Boyd 2000 Roswitha MÈarz 1999 Lawrence Ein 1998 James Bramble 2000 Harald Niederreiter 1999 Philip J. Hanlon 1999 Susanne C. Brenner 1998 John E. Osborn 1998 Barbara L. Key®tz 2001 Richard P. Brent 2000 RenÂe Schoof 1998 John Luecke 2000 Joe P. Buhler 2000 Ridgway Scott 1998 John J. Mallet-Paret 1999 Carsten Carstensen 2000 Chi-Wang Shu 1998 Stewart B. Priddy 1999 Arjeh M. Cohen 1999 Frank Stenger 1998 Chair Peter B. Shalen 1999 Howard Elman 2000 Nico M. Temme 1998 Alice Silverberg 1999 Richard Falk 1998 Vidar ThomÂee 2000 Theodore Slaman 2000 Walter Gautschi 1998 Joseph D. Ward 2000 Robert J. Stanton 2001 Daniel W. Lozier 1998 Hugh C. Williams 2000 Chuu-Lian Terng 2000 James N. Lyness 1999 Stephen J. Wright 2000 Robert F. Williams 2001 4.2.12. Notices Editorial Board 4.2.16. Translation from Chinese Editor Anthony Knapp 2000 Sun-Yung Alice Chang Associate Editors S.-Y. Cheng Chair Tsit-Yuen Lam Robert M. Fossum ex of®cio Susan Landau 2000 Tai-Ping Liu Susan J. Friedlander 2000 Andy R. Magid 2000 Chung-Chun Yang Martin Golubitsky 2000 Judith Roitman 2000 Victor W. Guillemin 2000 M. Beth Ruskai 2000 4.2.17. Translation from Japanese David Jerison 2000 Mark E. Saul 2000 Chair Shoshichi Kobayashi 1998 4.2.13. Proceedings Masamichi Takesaki 1998 Dale Alspach 1999 Standing Committees Albert Baernstein 1999 Coordinating Eric D. Bedford 2000 4.2.18. Conformal Geometry and Dynamics Steven R. Bell 2000 Kari Astala 2000 John Burns 1999 Frederick W. Gehring 2000 Suncica Canic 2000 Chair Linda Keen 1999 Ralph Cohen 2000 Misha Lyubich 1999 Christopher Croke 1999 Howard Masur 1998 J. Dodziuk 2000 Mitsuhiro Shishikura 1998 Ron Donagi 1999 Alan Dow 1999 4.2.19. History of Mathematics Chair Clifford J. Earle, Jr. 2000 George E. Andrews 1999 Ronald A. Fintushel 1999 Bruce Chandler 1999 Coordinating James G. Glimm 1999 Karen Parshall 2000 Kenneth R. Goodearl 2000 Chair George B. Seligman 1998 OCTOBER 1998 NOTICES OF THE AMS 1217 Of®cers and Committee Members 4.2.20. Representation Theory 4.3.6. Salaries Anthony Knapp 2000 All members of this committee serve ex of®cio. James Lepowsky 1998 Michael G. Crandall George Lusztig 2000 Chair Donald E.
Recommended publications
  • 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.
    [Show full text]
  • 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.
    [Show full text]
  • Boletín De La RSME
    Boletín de la RSME Número 297, 16 de enero de 2012 Sumario Noticias de la RSME Noticias de la RSME Encuentro Conjunto RSME-SMM. Antonio Campillo. Torremolinos, Málaga, 17-20 de enero El programa científico consta de veinticuatro • Encuentro Conjunto RSME- La Real Sociedad Matemática Española y la sesiones especiales, ocho conferencias ple- SMM. Torremolinos, Málaga, Sociedad Matemática Mexicana celebran el narias y la conferencia de clausura del profe- 17-20 de enero Segundo Encuentro Conjunto RSME-SMM en sor Federico Mayor Zaragoza con el título preciso “La comunidad científica ante los de- • Noticias del CIMPA el Hotel Meliá Costa del Sol de Torremolinos (Málaga) los próximos días 17, 18, 19 y 20 de safíos presentes”. Como en la primera edi- • Acuerdo entre cuatro insti- enero. El Primer Encuentro Conjunto se ce- ción, el congreso ha programado alrededor tuciones para la creación del lebró en Oaxaca en julio de 2009 y la serie de doscientas conferencias invitadas, la mitad IEMath. Documento de In- continuará cada tres años a partir de 2014, de las cuales corresponden a la parte mexi- cana y la otra mitad a la española. vestigación de la RSME año en el que está prevista la tercera edición en México. El comité organizador está presi- Las conferencias plenarias están a cargo de • Ampliación del orden del dido por Daniel Girela, e integrado por José Samuel Gitler, José Luis Alías, José María día de la Junta General Ordi- Luis Flores, Cristóbal González, Francisco Pérez Izquierdo, Jorge Velasco, María Emilia naria de la RSME Javier Martín Reyes, María Lina Martínez, Caballero, Javier Fernández de Bobadilla, Francisco José Palma, José Ángel Peláez y • Noticia de la COSCE: Nue- Xavier Gómez-Mont y Eulalia Nulart.
    [Show full text]
  • Economic Perspectives
    The Journal of The Journal of Economic Perspectives Economic Perspectives The Journal of Fall 2016, Volume 30, Number 4 Economic Perspectives Symposia Immigration and Labor Markets Giovanni Peri, “Immigrants, Productivity, and Labor Markets” Christian Dustmann, Uta Schönberg, and Jan Stuhler, “The Impact of Immigration: Why Do Studies Reach Such Different Results?” Gordon Hanson and Craig McIntosh, “Is the Mediterranean the New Rio Grande? US and EU Immigration Pressures in the Long Run” Sari Pekkala Kerr, William Kerr, Çag˘lar Özden, and Christopher Parsons, “Global Talent Flows” A journal of the American Economic Association What is Happening in Game Theory? Larry Samuelson, “Game Theory in Economics and Beyond” Vincent P. Crawford, “New Directions for Modelling Strategic Behavior: 30, Number 4 Fall 2016 Volume Game-Theoretic Models of Communication, Coordination, and Cooperation in Economic Relationships” Drew Fudenberg and David K. Levine, “Whither Game Theory? Towards a Theory of Learning in Games” Articles Dave Donaldson and Adam Storeygard, “The View from Above: Applications of Satellite Data in Economics” Robert M. Townsend, “Village and Larger Economies: The Theory and Measurement of the Townsend Thai Project” Amanda Bayer and Cecilia Elena Rouse, “Diversity in the Economics Profession: A New Attack on an Old Problem” Recommendations for Further Reading Fall 2016 The American Economic Association The Journal of Correspondence relating to advertising, busi- Founded in 1885 ness matters, permission to quote, or change Economic Perspectives of address should be sent to the AEA business EXECUTIVE COMMITTEE office: [email protected]. Street ad- dress: American Economic Association, 2014 Elected Officers and Members A journal of the American Economic Association Broadway, Suite 305, Nashville, TN 37203.
    [Show full text]
  • Lecture Notes in Mathematics
    Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann 1185 Group Theory, Beijing 1984 Proceedings of an International Symposium held in Beijing, Aug. 27-Sep. 8, 1984 Edited by Tuan Hsio-Fu Springer-Verlag Berlin Heidelberg New York Tokyo Editor TUAN Hsio-Fu Department of Mathematics, Peking University Beijing, The People's Republic of China Mathematics Subject Classification (1980): 05-xx, 12F-xx, 14Kxx, 17Bxx, 20-xx ISBN 3-540-16456-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-16456-1 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © by Springer-Verlag Berlin Heidelberg 1986 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210 PREFACE From August 27 to September 8, 1984 there was held in Peking Uni• versity, Beijing an International Symposium on Group Theory. As well said by Hermann Wey1: "Symmetry is a vast subject signi• ficant in art and nature. Whenever you have to do with a structure endowed entity, try to determine the group of those transformations which leave all structural relations undisturbed." This passage underlies that the group concept is one of the most fundamental and most important in modern mathematics and its applications.
    [Show full text]
  • Program of the Sessions San Diego, California, January 9–12, 2013
    Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes.
    [Show full text]
  • Orbital Varieties and Unipotent Representations of Classical
    Orbital Varieties and Unipotent Representations of Classical Semisimple Lie Groups by Thomas Pietraho M.S., University of Chicago, 1996 B.A., University of Chicago, 1996 Submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2001 °c Thomas Pietraho, MMI. All rights reserved. The author hereby grants to MIT permission to reproduce and to distribute publicly paper and electronic copies of this thesis document in whole or in part and to grant others the right to do so. Author ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: Department of Mathematics April 25, 2001 Certified by :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: David A. Vogan Professor of Mathematics Thesis Supervisor Accepted by :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: Tomasz Mrowka Chairman, Department Committee on Graduate Students 2 Orbital Varieties and Unipotent Representations of Classical Semisimple Lie Groups by Thomas Pietraho Submitted to the Department of Mathematics on April 25, 2001, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Abstract Let G be a complex semi-simple and classical Lie group. The notion of a Lagrangian covering can be used to extend the method of polarizing a nilpotent coadjoint orbit to obtain a unitary representation of G. W. Graham and D. Vogan propose such a construction, relying on the notions of orbital varieties and admissible orbit data. The first part of the thesis seeks to understand the set of orbital varieties contained in a given nipotent orbit. Starting from N. Spaltenstein’s parameterization of the irreducible components of the variety of flags fixed by a unipotent, we produce a parameterization of the orbital varieties lying in the corresponding fiber of the Steinberg map.
    [Show full text]
  • Fundamental Theorems in Mathematics
    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
    [Show full text]
  • A View from the Bridge Natalie Paquette
    INFERENCE / Vol. 3, No. 4 A View from the Bridge Natalie Paquette tring theory is a quantum theory of gravity.1 Albert example, supersymmetric theories require particles to Einstein’s theory of general relativity emerges natu- come in pairs. For every bosonic particle there is a fermi- rally from its equations.2 The result is consistent in onic superpartner. Sthe sense that its calculations do not diverge to infinity. Supersymmetric field theory has a disheartening String theory may well be the only consistent quantum impediment. Suppose that a supersymmetric quantum theory of gravity. If true, this would be a considerable field theory is defined on a generic curved manifold. The virtue. Whether it is true or not, string theory is indis- Euclidean metric of Newtonian physics and the Lorentz putably the source of profound ideas in mathematics.3 metric of special relativity are replaced by the manifold’s This is distinctly odd. A line of influence has always run own metric. Supercharges correspond to conserved Killing from mathematics to physics. When Einstein struggled spinors. Solutions to the Killing spinor equations are plen- to express general relativity, he found the tools that he tiful in a flat space, but the equations become extremely needed had been created sixty years before by Bernhard restrictive on curved manifolds. They are so restrictive Riemann. The example is typical. Mathematicians discov- that they have, in general, no solutions. Promoting a flat ered group theory long before physicists began using it. In supersymmetric field theory to a generic curved mani- the case of string theory, it is often the other way around.
    [Show full text]
  • UT Austin Professor, Luis Caffarelli, Wins Prestigious Wolf Prize Porto Students Conduct Exploratory Visits
    JANUARY//2012 NUMBER//41 UT Austin Professor, Luis Caffarelli, wins prestigious Wolf Prize Luis Caffarelli, a mathematician, Caffarelli’s research interests include Professor at the Institute for Compu- nonlinear analysis, partial differential tational Engineering and Sciences equations and their applications, (ICES) at the University of Texas at calculus of variations and optimiza- Austin and Director of CoLab tion. The ICES Professor is also widely Mathematics Program, has been recognized as the world’s leading named a winner of Israel’s prestigious specialist in free-boundary problems Wolf Prize, in the mathematics for nonlinear partial differential category. equations. This prize, which consists of a cer- Each year this prize is awarded to tificate and a monetary award of specialists in the fields of agriculture, $100,000, “is further evidence of chemistry, mathematics, physics Luis’ huge impact”, according to and the arts. Caffarelli will share the Alan Reid (Chair of the Department 2012 mathematics prize with of Mathematics). “I feel deeply Michael Aschbacher, a professor at honored”, states Caffarelli, who joins the California Institute of Technology. the UT Austin professors John Tate (Mathematics, 2002) and Allen Bard Link for Institute for Computational UT Austin Professor, Luis Caffarelli (Chemistry, 2008) as a Wolf Prize Engineering and Sciences: winner. http://www.ices.utexas.edu/ Porto Students Conduct Exploratory Visits UT Austin welcomed several visitors at the end of the Fall animation. Bastos felt he benefited greatly from the visit, 2011 semester, including Digital Media doctoral students commenting, “The time I spent in Austin and in College Pedro Bastos, Rui Dias, Filipe Lopes, and George Siorios of Station was everything I expected and more.
    [Show full text]
  • A Sketch of the History and State of Automated Deduction
    A Sketch of the History and State of Automated Deduction David A. Plaisted October 19, 2015 Introduction • Ed Reingold influenced me to do algorithms research early in my career, and this led to some good work. However, my main research area now is automatic theorem proving, so I will discuss this instead. • This talk will be a survey touching on some aspects of the state of the field of automated deduction at present. The content of the talk will be somewhat more general than the original title indicated; thus the change in title. This talk should be about 20 minutes long. I’m planning to put these notes on the internet soon. There is a lot to cover in 20 minutes, so it is best to leave most questions until the end. Proofs in Computer Science • There is a need for formal proofs in computer science, for example, to prove the correctness of software, or to prove theorems in a theoretical paper. • There is also a need for proofs in other areas such as mathematics. • It can be helpful to have programs that check proofs or even help to find the proofs. 1 Automated Deduction • This talk emphasizes systems that do a lot of proof search on their own, either to find the whole proof automatically or large parts of it, without the user specifying each application of each rule of inference. • There are also systems that permit the user to construct a proof and check that the rules of inference are properly applied. History of Automated Deduction Our current state of knowledge in automated deduction came to us by a long and complicated process of intellectual development.
    [Show full text]
  • Stability of Tangent Bundles of Complete Intersections and Effective
    STABILITY OF TANGENT BUNDLES OF COMPLETE INTERSECTIONS AND EFFECTIVE RESTRICTION JIE LIU ABSTRACT. For n ≥ 3, let M be an (n + r)-dimensional irreducible Hermitian symmetric space of compact type and let OM(1) be the ample generator of Pic(M). Let Y = H1 ∩···∩ Hr be a smooth complete intersection of dimension n where Hi ∈ |OM(di)| with di ≥ 2. We prove a vanishing theorem for twisted holomor- phic forms on Y. As an application, we show that the tangent bundle TY of Y is stable. Moreover, if X is a smooth hypersurface of degree d in Y such that the restriction Pic(Y) → Pic(X) is surjective, we establish some effective results for d to guarantee the stability of the restriction TY|X. In particular, if Y is a general n+1 hypersurface in P and X is general smooth divisor in Y, we show that TY|X is stable except for some well-known examples. We also address the cases where the Picard group increases by restriction. CONTENTS 1. Introduction 1 2. Hermitian symmetric spaces and Lefschetz properties 5 3. Twisted (n − 1)-forms and special cohomologies 7 4. Extension of twisted vector fields 10 5. Stability and effective restriction with invariant Picard group 14 6. Hyperplane of cubic threefolds 20 Reference 25 1. INTRODUCTION arXiv:1711.03413v3 [math.AG] 22 Oct 2018 It has been one of main problems in K¨ahler geometry to study which Fano manifolds with b2 = 1 admit a K¨ahler-Einstein metric. The celebrated Yau-Tian- Donaldson conjecture asserts that a Fano manifold admits a K¨ahler-Einstein met- ric if and only if it is K-polystable.
    [Show full text]