DOCSLIB.ORG

Of the American Mathematical Society August 2017 Volume 64, Number 7

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Of the American Mathematical Society August 2017 Volume 64, Number 7 ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society August 2017 Volume 64, Number 7 The Mathematics of Gravitational Waves: A Two-Part Feature page 684 The Travel Ban: Affected Mathematicians Tell Their Stories page 678 The Global Math Project: Uplifting Mathematics for All page 712 2015–2016 Doctoral Degrees Conferred page 727 Gravitational waves are produced by black holes spiraling inward (see page 674). American Mathematical Society LEARNING ® MEDIA MATHSCINET ONLINE RESOURCES MATHEMATICS WASHINGTON, DC CONFERENCES MATHEMATICAL INCLUSION REVIEWS STUDENTS MENTORING PROFESSION GRAD PUBLISHING STUDENTS OUTREACH TOOLS EMPLOYMENT MATH VISUALIZATIONS EXCLUSION TEACHING CAREERS MATH STEM ART REVIEWS MEETINGS FUNDING WORKSHOPS BOOKS EDUCATION MATH ADVOCACY NETWORKING DIVERSITY blogs.ams.org Notices of the American Mathematical Society August 2017 FEATURED 684684 718 26 678 Gravitational Waves The Graduate Student The Travel Ban: Affected Introduction Section Mathematicians Tell Their by Christina Sormani Karen E. Smith Interview Stories How the Green Light was Given for by Laure Flapan Gravitational Wave Research by Alexander Diaz-Lopez, Allyn by C. Denson Hill and Paweł Nurowski WHAT IS...a CR Submanifold? Jackson, and Stephen Kennedy by Phillip S. Harrington and Andrew Gravitational Waves and Their Raich Mathematics by Lydia Bieri, David Garfinkle, and Nicolás Yunes This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves stirring and profound. Later in the issue, James Tanton tells you how to prepare for Global Math Week, coming in October. Enjoy the summer while you can. —Frank Morgan, Editor-in-Chief FROM THE AMS SECRETARY ALSO IN THIS ISSUE 711 Voting Information for 2017 AMS Election 712 T e Global Math Project: Uplifting Mathematics for All James Tanton and Brianna Donaldson COMMENTARY 727 2015–2016 Doctoral Degrees Conferred 761 Interview with Michèle Audin 676 Letters to the Editor Allyn Jackson 682 Opinion: International Mobility 772 T e “ Wide Infl uence” of Leonard Eugene Dickson and US Mathematics Della Dumbaugh and Amy Shell-Gellasch Moon Duchin 779 Ellenberg in Gifted 709 Opinion: Post-Quantum Cryptography: Allyn Jackson A New Opportunity and Challenge Jintai Ding and Daniel Smith-Tone 758 Book Review: One Hundred Twenty-One Days John McCleary Notices A MERICAN M ATHEMATICAL S OCIETY of the American Mathematical Society GRADUATE STUDIES IN MATHEMATICS180 Advanced Modern Algebra Third Edition, Part 2 Joseph J. Rotman Pre-order your copy at IN EVERY ISSUE American Mathematical Society 764 Inside the AMS 766 Mathematics Opportunities bookstore.ams.org/gsm-180 768 Mathematics People 778 BookShelf TEXTBOOK AdvancedTEXTBOOKS 781 Classified Advertising FROM THE AMS 783 Mathematics Calendar Modern Algebra Third Edition, Part 2 TEXTBOOK 786 New Publications Offered by the AMS Joseph J. Rotman, University of Illinois at Urbana- 793 Meetings and Conferences of the AMS Champaign, IL This second part of the new edition of Advanced 808 Te Back Page Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165) presents many topics mentioned in the first part in greater depth and in more detail, including group theory, representation theory, homological algebra, categories, and commu- tative algebra. Graduate Studies in Mathematics, Volume 180; 2017; approximately 549 pages; Hardcover; ISBN: 978-1-4704-2311-7; List US$94; AMS members US$75.20; Order code GSM/180 Advanced Modern Algebra Also Available Third Edition, Part 1 Joseph J. Rotman Cover: The gravitational waves first detected December 26, Graduate Studies 2015, came from the spiraling merger of two black holes. The in Mathematics TEXTBOOK Volume 165 cover image is from a video that shows numerical simulation of American Mathematical Society AdvancedTEXTBOOKS the event GW151226 associated to a binary black-hole coales- FROM THE AMS cence. Credits: Numerical-relativistic Simulation: S. Ossokine, Modern Algebra A. Buonanno (Max Planck Institute for Gravitational Third Edition, Part 1 TEXTBOOK Physics), Simulating eXtreme Spacetimes Project. Joseph J. Rotman, University of Illinois at Urbana- TEXTBOOK Scientific Visualization: T. Dietrich, R. Haas (Max Champaign, IL Planck Institute for Gravitational Physics). TEXTBOOKS Graduate Studies in Mathematics, VolumeFROM THE 165;AMS 2015; 706 pages; Hardcover; ISBN: 978-1-4704-1554-9; List US$89; AMS members US$71.20; Order code GSM/165 TEXTBOOK= Textbook = Available in eBook Format !"##$%&'()&*+,!-.,/,012131$ !)#'$)44()###,!567839:3;$ Notices of the American Mathematical Society EDITOR- IN- CHIEF CONTACTING THE NOTICES Frank Morgan SUBSCRIPTION INFORMATION ASSOCIATE EDITORS Subscription prices for Volume 64 (2017) are US$637 list; Benjamin Braun, US$509.60 institutional member; US$382.20 individual mem- Alexander Diaz-L opez, Thomas Garrity, Joel Hass, ber; US$573.30 corporate member. (The subscription price for Stephen Kennedy, Florian Luca, Steven J. Miller, members is included in the annual dues.) A late charge of 10% of Harriet Pollatsek, Carla Savage (ex officio), the subscription price will be imposed upon orders received from Cesar E. Silva, Christina Sormani, Daniel J. Velleman non- members after January 1 of the subscription year. Add for CONSULTANTS postage: Surface delivery outside the United States and Indiaó John Baez, HÈl Ën e Barcelo, Ricardo Cortez, Jerry Folland, US$27; in Indiaó US$40; expedited delivery to destinations in Tara Holm, Kenneth A. Ribet North Americaó US$35; elsewhereó US$120. Subscriptions and orders for AMS publications should be addressed to the ASSISTANT to the EDITOR- IN- CHIEF American Mathematical Society, P.O. Box 845904, Boston, MA Sophia D. Merow 02284- 5904 USA. All orders must be prepaid. SENIOR WRITER/DEPUTY EDITOR MANAGING EDITOR Allyn Jackson Rachel L. Rossi ADVERTISING ADVERTISING COORDINATOR Notices publishes situations wanted and classified advertising, Anne Newcomb and display advertising for publishers and academic or scientific organizations. Advertising requests, materials, and/or questions REPRINT PERMISSIONS should be sent to: Erin M. Buck [email protected] (classified ads) CONTRIBUTING WRITER notices- [email protected] (display ads) Elaine Kehoe PERMISSIONS COMPOSITION, DESIGN and EDITING All requests to reprint Notices articles should be sent to: John Brady, Anna Hattoy, Lori Nero, Karen Ouellette, reprint- [email protected] Becky Rivard, Courtney Rose, Deborah Smith, Mike Southern, Peter Sykes SUBMISSIONS The editor- in- chief should be contacted about articles for Supported by the AMS membership, most of this publication, consideration after potential authors have reviewed the ì For including the opportunity to post comments, is freely available Authorsî page at www.ams.org/publications/journals/notices/ electronically through the AMS website, the Societyí s resource noticesauthors. for delivering electronic products and services. Use the URL The managing editor should be contacted for additions to our www.ams.org/notices/ to access the Notices on the website. The news sections and for any questions or corrections. Contact the online version of the Notices is the version of record, so it may managing editor at: [email protected] occasionally differ slightly from the print version. Letters to the editor should be sent to: The print version is a privilege of Membership. Graduate students notices- [email protected] at member institutions can opt to receive the print magazine by updating their individual member profiles at https://www.ams. Additions to the Math Calendar should be submitted at: org/cml/update- ams. For questions regarding updating your bit.ly/1SDf5kF profile, please call 800- 321- 4267. To make suggestions for additions to other sections, and for For back issues see www.ams.org/backvols. Note: Single issues full contact information, see www.ams.org/publications/ of the Notices are not available after one calendar year. journals/notices/noticescontact [Notices of the American Mathematical Society (ISSN 0002- 9920) is published monthly except bimonthly in June/July by the American Mathematical Society at 201 Charles Street, Providence, RI 02904- 2294 USA, GST No. 12189 2046 RT****. Periodicals postage paid at Providence, RI, and additional mailing offices. POSTMASTER: Send address change notices to Notices of the American Mathematical Society, P.O. Box 6248, Providence, RI 02904-6 248 USA.] Publication here of the Societyí s street address and the other bracketed information is a technical requirement of the U.S. Postal Service. © Copyright 2017 by the American Mathematical Society. All rights reserved. Printed in the United States of America. The paper used in this journal is acid- free and falls within the guidelines established to ensure permanence and durability. Opinions expressed in signed Notices articles are those of the authors and do not necessarily reflect opinions of the editors or policies of the American Mathematical Society. LETTERS TO THE EDITOR Online Survey of Publishing Issues The Daughters of John Adams In 2016 I circulated an online survey of mathematicians, On the Back Page (Volume 64, Number 5, May 2017 issue), to elicit opinions on various issues related to journal the editor inserts “and daughters!” into John Adams’s publishing. The survey, which was terminated after 1,000 statement, “I must study politics and war that my sons responses, was propagated via mailing lists (for example, may have liberty
Load more

Recommended publications
  • Arxiv:Math/0701389V3 [Math.DG] 11 Apr 2007 Hoesadcnetrsi Hssbet E H Uvyb B by Survey the See Subject
    EXAMPLES OF RIEMANNIAN MANIFOLDS WITH NON-NEGATIVE SECTIONAL CURVATURE WOLFGANG ZILLER Manifolds with non-negative sectional curvature have been of interest since the beginning of global Riemannian geometry, as illustrated by the theorems of Bonnet-Myers, Synge, and the sphere theorem. Some of the oldest conjectures in global Riemannian geometry, as for example the Hopf conjecture on S2 S2, also fit into this subject. For non-negatively curved manifolds, there× are a number of obstruction theorems known, see Section 1 below and the survey by Burkhard Wilking in this volume. It is somewhat surprising that the only further obstructions to positive curvature are given by the classical Bonnet-Myers and Synge theorems on the fundamental group. Although there are many examples with non-negative curvature, they all come from two basic constructions, apart from taking products. One is taking an isometric quotient of a compact Lie group equipped with a biinvariant metric and another a gluing procedure due to Cheeger and recently significantly generalized by Grove-Ziller. The latter examples include a rich class of manifolds, and give rise to non-negative curvature on many exotic 7-spheres. On the other hand, known manifolds with positive sectional curvature are very rare, and are all given by quotients of compact Lie groups, and, apart from the classical rank one symmetric spaces, only exist in dimension below 25. Due to this lack of knowledge, it is therefore of importance to discuss and understand known examples and find new ones. In this survey we will concentrate on the description of known examples, although the last section also contains suggestions where to look for new ones.
    [Show full text]
  • Hilbert Constance Reid
    Hilbert Constance Reid Hilbert c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer Science+Business Media New York Originally published by Springer-Verlag New York, Inc in 1996 All rights reserved. No part ofthis publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Library ofCongress Cataloging·in-Publication Data Reid, Constance. Hilbert/Constance Reid. p. Ctn. Originally published: Berlin; New York: Springer-Verlag, 1970. Includes bibliographical references and index. ISBN 978-0-387-94674-0 ISBN 978-1-4612-0739-9 (eBook) DOI 10.1007/978-1-4612-0739-9 I. Hilbert, David, 1862-1943. 2. Mathematicians-Germany­ Biography. 1. Title. QA29.HsR4 1996 SIO'.92-dc20 [B] 96-33753 Manufactured in the United States of America. Printed on acid-free paper. 9 8 7 6 543 2 1 ISBN 978-0-387-94674-0 SPIN 10524543 Questions upon Rereading Hilbert By 1965 I had written several popular books, such as From liro to Infinity and A Long Way from Euclid, in which I had attempted to explain certain easily grasped, although often quite sophisticated, mathematical ideas for readers very much like myself-interested in mathematics but essentially untrained. At this point, with almost no mathematical training and never having done any bio­ graphical writing, I became determined to write the life of David Hilbert, whom many considered the profoundest mathematician of the early part of the 20th century. Now, thirty years later, rereading Hilbert, certain questions come to my mind.
    [Show full text]
  • Tommaso De Fernex
    Tommaso de Fernex Department of Mathematics Phone: +1 (801) 581-7121 University of Utah Fax: +1 (801) 581-6851 155 South 1400 East [email protected] Salt Lake City, UT 84112 www.math.utah.edu/∼defernex education July 2002 Ph.D. in Mathematics, University of Illinois at Chicago February 2001 Dottorato di Ricerca in Matematica, Universit`adi Genova February 1996 Laurea in Matematica (summa cum laude), Universit`adi Milano appointments 07/17{06/19 Associate Department Chair, University of Utah 07/14{present Professor, University of Utah 07/09{06/14 Associate Professor, University of Utah 07/05{06/09 Assistant Professor, University of Utah 08/02{07/05 T. H. Hildebrandt Research Assistant Professor, University of Michigan visiting positions 01/19{05/19 Research Professor, MSRI, Birational Geometry and Moduli Spaces 05/11{06/11 Visiting Professor, Ecole´ Normale Sup´erieure,Paris 05/09{07/09 Visiting Scholar, Institut de Math´ematiquesde Jussieu 01/09{04/09 Research Member, MSRI, Jumbo Program in Algebraic Geometry May 2006 Visiting Scholar, Universit`adi Genova 09/05{04/06 Member, Institute for Advanced Study 09/99{12/99 Visiting Research Assistant, University of Hong Kong research grants 2020-2023 NSF Grant DMS-2001254, PI fellowships class 2019 Fellow of the American Mathematical Society & honors 2017{2020 NSF Grant DMS-1700769, PI 2014{2017 NSF Grant DMS-1402907, PI 2013{2016 NSF FRG Grant DMS-1265285, PI 2012{2013 Simons Fellow in Mathematics 2009{2014 NSF CAREER Grant DMS-0847059, PI 2009 Fellowship, Fondation Sciences Math´ematiques de Paris 2005{2011 John E.
    [Show full text]
  • Arxiv:2007.03981V1 [Math.FA] 8 Jul 2020
    FOURIER UNIQUENESS IN R4 ANDREW BAKAN, HAAKAN HEDENMALM, ALFONSO MONTES-RODRÍGUEZ, DANYLO RADCHENKO, AND MARYNA VIAZOVSKA Abstract. We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness for the Klein-Gordon equation and the lattice- cross of critical density, studied by Hedenmalm and Montes-Rodríguez. This has been known since 2017. 1. Introduction 1.1. Basic notation in the plane. We write Z for the integers, Z+ for the positive integers, R for the real line, and C for the complex plane. We write H for the upper half-plane {τ ∈ C : Im τ> 0}. Moreover, we d let h·, ·id denote the Euclidean inner product of R . 1.2. The Fourier transform of radial functions. For a function f ∈ L1(Rd), we consider its Fourier transform (with x = (x1,..., xd) and y = (y1,..., yd)) −i2πhx,yid fˆ(y):= e f (x)dvold(x), dvold(x):= dx1 ··· dxd. ZRd If f is radial, then fˆis radial too. A particular example of a radial function is the Gaussian iπτ|x|2 (1.2.1) Gτ(x):= e , which decays nicely provided that Im τ> 0, that is, when τ ∈ H. The Fourier transform of a Gaussian is another Gaussian, in this case −d/2 −d/2 τ −iπ|y|2/τ τ (1.2.2) Gˆ τ(y):= e = G−1/τ(y), i i Here, it is important that τ 7→ −1/τ preserves hyperbolic space H. In the sense of distribution theory, the above relationship extends to boundary points τ ∈ R as well.
    [Show full text]
  • Twenty Female Mathematicians Hollis Williams
    Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg .............................................................................................................................
    [Show full text]
  • Chairman Mansfield Called for Any Conflicts of Interest by the Board and Asked That All Cell Phones Be Turned Off
    COUNTY OF CARTERET BOARD OF COMMISSIONERS REGULAR SESSION — 6: 00 P. M. COMMISSIONERS' BOARDROOM MAY 21, 2018 The Honorable Carteret County Board of Commissioners sat in regular session on Monday, May 21, 2018, at 6: 00 p. m. Present were: Chairman Mark Mansfield, Commissioners Robin Comer, Jimmy Farrington, Jonathan Robinson, Bill Smith, and Ed Wheatly. Commissioner Cavanaugh was absent. I. MEETING CALLED TO ORDER Chairman Mansfield called the meeting to order. All present recited the Pledge of Allegiance. Pastor Brian Recker of One Harbor Church in Beaufort provided the invocation. II. CONFLICT OF INTEREST/CELL PHONE STATEMENT Chairman Mansfield called for any conflicts of interest by the Board and asked that all cell phones be turned off. There were no conflicts of interest. III. ADOPTION OF AGENDA Motion: Commissioner Comer made a motion to add an item to the agenda, " Request for Additional Funding for the Western Carteret Library as Item Villa-,"Susan Simpson will be presenting; seconded by Commissioner Smith. Motion carried unanimously. Motion: Commissioner Smith made a motion to adopt the amended agenda; seconded by Commissioner Comer. Motion carried unanimously. The agenda was as follows: CARTERET COUNTY BOARD OF COMMISSIONERS REGULAR SESSION COMMISSIONERS' BOARDROOM MAY 21, 2018 6: 00 P. M. Meeting Called to Order/Pledge of Allegiance/ Invocation Chairman Mansfield II. Conflict of Interest/ Cell Phone Statement Chairman Mansfield III. Adoption of Agenda Board IV. Consent Agenda Board 1. Approval of Minutes March 19, 2018 April 16, 2018 2. Tax Releases and Refunds a. Tax Releases Under $ 100 b. Tax Releases Over $ 100 C. Tax Refunds Under $ 100 d.
    [Show full text]
  • Early History of the Riemann Hypothesis in Positive Characteristic
    The Legacy of Bernhard Riemann c Higher Education Press After One Hundred and Fifty Years and International Press ALM 35, pp. 595–631 Beijing–Boston Early History of the Riemann Hypothesis in Positive Characteristic Frans Oort∗ , Norbert Schappacher† Abstract The classical Riemann Hypothesis RH is among the most prominent unsolved prob- lems in modern mathematics. The development of Number Theory in the 19th century spawned an arithmetic theory of polynomials over finite fields in which an analogue of the Riemann Hypothesis suggested itself. We describe the history of this topic essentially between 1920 and 1940. This includes the proof of the ana- logue of the Riemann Hyothesis for elliptic curves over a finite field, and various ideas about how to generalize this to curves of higher genus. The 1930ies were also a period of conflicting views about the right method to approach this problem. The later history, from the proof by Weil of the Riemann Hypothesis in charac- teristic p for all algebraic curves over a finite field, to the Weil conjectures, proofs by Grothendieck, Deligne and many others, as well as developments up to now are described in the second part of this diptych: [44]. 2000 Mathematics Subject Classification: 14G15, 11M99, 14H52. Keywords and Phrases: Riemann Hypothesis, rational points over a finite field. Contents 1 From Richard Dedekind to Emil Artin 597 2 Some formulas for zeta functions. The Riemann Hypothesis in characteristic p 600 3 F.K. Schmidt 603 ∗Department of Mathematics, Utrecht University, Princetonplein 5, 3584 CC
    [Show full text]
  • Downloads Over 8,000)
    Volume 47 • Issue 1 IMS Bulletin January/February 2018 National Academy new member The US National Academy of Medicine (NAM) has announced the election of 70 reg- CONTENTS ular members and 10 international members. Among them is Nicholas Patrick Jewell, 1 National Academy of University of California, Berkeley. Medicine elects Jewell Election to the Academy is considered one of the highest honors in the fields of 2 Members’ news: Nick Horton, health and medicine, recognizing individuals who have made major contributions to Eric Kolaczyk, Hongzhe Li, the advancement of the medical sciences, health care, and public health. A diversity Runze Li, Douglas Simpson, of talent among NAM’s membership is Greg Lawler, Mike Jordan, Mir assured by its Articles of Organization, Masoom Ali which stipulate that at least one-quarter 3 Journal news: EJP, ECP, Prob of the membership is selected from fields Surveys; OECD guidelines outside the health professions, for exam- 4 Takis Konstantopoulos: new ple, from law, engineering, social sciences, column and the humanities—and statistics. The newly elected members bring 6 Recent papers: Electronic Journal of Probability; Electronic NAM’s total membership to 2,127 and Communications in Probability the number of international members to 172. 11 Special Invited Lecturers; IMS Fellow Nicholas P. Jewell is New Textbook Professor of Biostatistics and Statistics 12 Obituary: Ron Getoor at the University of California, Berkeley. 13 IMS Awards Since arriving at Berkeley in 1981, he has held various academic and administrative 15 Student Puzzle Corner 19; New Researcher Award positions, most notably serving as Vice Provost from 1994 to 2000.
    [Show full text]
  • Front Matter
    Cambridge University Press 978-1-107-64755-8 - London Mathematical Society Lecture Note Series: 417: Recent Advances in Algebraic Geometry: A Volume in Honor of Rob Lazarsfeld’s 60th Birthday Edited by Christopher D. Hacon, Mircea Mustata¸˘ and Mihnea Popa Frontmatter More information LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom The titles below are available from booksellers, or from Cambridge University Press at http://www.cambridge.org/mathematics 287 Topics on Riemann surfaces and Fuchsian groups, E. BUJALANCE, A.F. COSTA & E. MARTÍNEZ (eds) 288 Surveys in combinatorics, 2001, J.W.P. HIRSCHFELD (ed) 289 Aspects of Sobolev-type inequalities, L. SALOFF-COSTE 290 Quantum groups and Lie theory, A. PRESSLEY (ed) 291 Tits buildings and the model theory of groups, K. TENT (ed) 292 A quantum groups primer, S. MAJID 293 Second order partial differential equations in Hilbert spaces, G. DA PRATO & J. ZABCZYK 294 Introduction to operator space theory, G. PISIER 295 Geometry and integrability, L. MASON & Y. NUTKU (eds) 296 Lectures on invariant theory, I. DOLGACHEV 297 The homotopy category of simply connected 4-manifolds, H.-J. BAUES 298 Higher operads, higher categories, T. LEINSTER (ed) 299 Kleinian groups and hyperbolic 3-manifolds, Y. KOMORI, V. MARKOVIC & C. SERIES (eds) 300 Introduction to Möbius differential geometry, U. HERTRICH-JEROMIN 301 Stable modules and the D(2)-problem, F.E.A. JOHNSON 302 Discrete and continuous nonlinear Schrödinger systems, M.J. ABLOWITZ, B. PRINARI & A.D. TRUBATCH 303 Number theory and algebraic geometry, M.
    [Show full text]
  • Mathematics People, Volume 52, Number 6
    Mathematics People Fourier-Mukai transform. He is also working on under- 2005–2006 AMS Centennial standing the structure of cones of divisors on smooth Fellowships Awarded projective varieties by analyzing asymptotic invariants as- sociated to base loci of linear series. He plans to use his The AMS has awarded two Centennial Fellowships for Centennial Fellowship at the University of Michigan and 2005–2006. The recipients are YUAN-PIN LEE of the Univer- the University of Rome, as well as at the University of sity of Utah and MIHNEA POPA of Harvard University. The Chicago. amount of each fellowship is $62,000. The Centennial Please note: Information about the competition for the 2006–2007 AMS Centennial Fellowships will be published in the “Mathematics Opportunities” section of an upcom- ing issue of the Notices. —Allyn Jackson Cerf and Kahn Receive Turing Award The Association for Computing Machinery (ACM) has named VINTON G. CERF and ROBERT E. KAHN the winners of the 2004 A. M. Turing Award, considered the “Nobel Prize of Computing”, for pioneering work on the design and Yuan-Pin Lee Mihnea Popa implementation of the Internet’s basic communications protocols. Cerf is the senior vice president for technology Fellows also receive an expense allowance of $3,000 and strategy at MCI. Kahn is chairman, chief executive officer, a complimentary Society membership for one year. and president of the Corporation for National Research Initiatives (CNRI), a not-for-profit organization for research Yuan-Pin Lee in the public interest on strategic development of Yuan-Pin Lee received his Ph.D. in 1999 from the University network-based information technologies.
    [Show full text]
  • A Brief History of Gravitational Waves
    universe Review A Brief History of Gravitational Waves Jorge L. Cervantes-Cota 1, Salvador Galindo-Uribarri 1 and George F. Smoot 2,3,4,* 1 Department of Physics, National Institute for Nuclear Research, Km 36.5 Carretera Mexico-Toluca, Ocoyoacac, C.P. 52750 Mexico, Mexico; [email protected] (J.L.C.-C.); [email protected] (S.G.-U.) 2 Helmut and Ana Pao Sohmen Professor at Large, Institute for Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, 999077 Hong Kong, China 3 Université Sorbonne Paris Cité, Laboratoire APC-PCCP, Université Paris Diderot, 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France 4 Department of Physics and LBNL, University of California; MS Bldg 50-5505 LBNL, 1 Cyclotron Road Berkeley, 94720 CA, USA * Correspondence: [email protected]; Tel.:+1-510-486-5505 Academic Editors: Lorenzo Iorio and Elias C. Vagenas Received: 21 July 2016; Accepted: 2 September 2016; Published: 13 September 2016 Abstract: This review describes the discovery of gravitational waves. We recount the journey of predicting and finding those waves, since its beginning in the early twentieth century, their prediction by Einstein in 1916, theoretical and experimental blunders, efforts towards their detection, and finally the subsequent successful discovery. Keywords: gravitational waves; General Relativity; LIGO; Einstein; strong-field gravity; binary black holes 1. Introduction Einstein’s General Theory of Relativity, published in November 1915, led to the prediction of the existence of gravitational waves that would be so faint and their interaction with matter so weak that Einstein himself wondered if they could ever be discovered.
    [Show full text]
  • Towards a Theory of Gravitational Radiation Or What Is a Gravitational Wave?
    Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 Towards a theory of gravitational radiation or What is a gravitational wave? Paweł Nurowski Center for Theoretical Physics Polish Academy of Sciences King’s College London, 28 April 2016 1/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 Plan 1 Recent LIGO announcement 2 Gravitational radiation theory: summary 3 Prehistory: 1916-1956 4 History: 1957-1962 2/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 LIGO detection: Its relevance the first detection of gravitational waves the first detection of a black hole; of a binary black-hole; of a merging process of black holes creating a new one; Kerr black holes exist; black holes with up to 60 Solar masses exist; the most energetic process ever observed important test of Einstein’s General Theory of Relativity new window: a birth of gravitational wave astronomy 3/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 LIGO detection: Its relevance the first detection of gravitational waves the first detection of a black hole; of a binary black-hole; of a merging process of black holes creating a new one; Kerr black holes exist; black holes with up to 60 Solar masses exist; the most energetic process ever observed important test of Einstein’s General Theory of Relativity new window: a birth of gravitational wave astronomy
    [Show full text]