DOCSLIB.ORG

Notices of the American Mathematical Society May 2011 Communications

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

ISSISISSSSNN0 00000200202-99-999992020 of the American Mathematical Society May 2011 Volume 58, Number 5 Discrete Wavelet Transformations and Undergraduate Education page 656 Mathematical Intimidation: Driven by the Data page 667 Remembering Leon Ehrenpreis (1930–2010) page 674 How a Medieval Troubadour Became a Mathematical Figure page 682 Abouut thhe CoC vever:r Wava ellete s inin imamagege comomprprese sionon (sesee ppaagege 71717) “SORRY , THAT ’S NOT CORRECT .” “THAT ’S CORRECT .” TWO ONLINE HOMEWORK SYstEMS WENT HEAD TO HEAD. ONLY ONE MADE THE GRADE. What good is an online homework system if it can’t recognize right from wrong? Our sentiments exactly. Which is why we decided to compare WebAssign with the other leading homework system for math. The results were surprising. The other system failed to recognize correct answers to free response questions time and time again. That means students who were actually answering correctly were receiving failing grades. WebAssign, on the other hand, was designed to recognize and accept more iterations of a correct answer. In other words, WebAssign grades a lot more like a living, breathing professor and a lot less like, well, that other system. So, for those of you who thought that other system was the right answer for math, we respectfully say, “Sorry, that’s not correct.” 800.955.8275 webassign.net/math WA ad Notices.indd 1 10/1/10 11:57:36 AM QUANTITATIVE FINANCE RENAISSANCE TECHNOLOGIES, a quantitatively based financial management firm, has openings for research and programming positions at its Long Island, NY research center. Research & Programming Opportunities We are looking for highly trained professionals who are interested in applying advanced methods to the modeling of global financial markets. You would be joining a group of roughly one hundred fifty people, half of whom have Ph.D.s in scientific disciplines. We have a spectrum of opportunities for individuals with the right scientific and computing skills. Experience in finance is not required. The ideal research candidate will have: • A Ph.D. in Computer Science, Mathematics, Physics, Statistics, or a related discipline • A demonstrated capacity to do first-class research • Computer programming skills • An intense interest in applying quantitative analysis to solve difficult problems The ideal programming candidate will have: • Strong analytical and programming skills • An In depth knowledge of software development in a C++ Unix environment Compensation is comprised of a base salary and a bonus tied to company-wide performance. Send a copy of your resume to: [email protected] No telephone inquiries. An equal opportunity employer. Notices of the American Mathematical Society May 2011 Communications 688 WHAT IS... an 674 Infra-nilmanifold Endomorphism? Karel Dekimpe 690 The Story of Gyrangle Reza Sarhangi 693 Report on 2009–2010 Academic Recruitment and Hiring James W. Maxwell and 697 690 Colleen Rose 704 Doceamus: Revitalizing the Features 1960 Mathematics Major Alan Tucker The May issue showcases diverse features of the mathemati- cal life. John Ewing, former executive director of the AMS and 706 JPBM Communications now president of Math for America, tells us of the dangers of Award value-added modeling. Michael Saclolo writes of a mathemati- 708 MAA Prizes Presented in cal analysis of the poetry of medieval troubadours. Catherine New Orleans Bénéteau and Patrick Van Fleet explain how wavelets can be used to augment undergraduate mathematics education. Finally, we AWM Awards Given in New 711 share memories of noted mathematician Leon Ehrenpreis. Orleans —Steven G. Krantz, Editor 713 2011 Mathematics Programs That Make a 656 Discrete Wavelet Transformations and Difference Undergraduate Education 716 2011 Award for an Exemplary Program Catherine Bénéteau and Patrick J. Van Fleet or Achievement in a Mathematics Department 667 Mathematical Intimidation: Driven by the Data 718 Arizona’s Math Center Wins AMS Award John Ewing Allyn Jackson 674 Remembering Leon Ehrenpreis (1930– 2010) Commentary Daniele C. Struppa, Hershel Farkas, Takahiro Kawai, 653 Letters to the Editor Peter Kuchment, Eric Todd Quinto, Shlomo Sternberg, Alan Taylor 697 At Home with André and Simone Weil— A Book Review 682 How a Medieval Troubadour Became a Reviewed by Michèle Audin Mathematical Figure 699 The Value of Nothing: A Michael P. Saclolo Review of The Quants Reviewed by David Steinsaltz Notices Departments of the American Mathematical Society About the Cover . 717 EDITOR: Steven G. Krantz Mathematics People . 728 ASSOCIATE EDITORS: Butcher Receives Inaugural Jones Medal, Polterovich Awarded Coxeter- Krishnaswami Alladi, David Bailey, Jonathan Borwein, James Prize, Scholze Awarded 2011 Clay Research Fellowship, Susanne C. Brenner, Bill Casselman (Graphics Editor), Robert J. Daverman, Susan Friedlander, Robion Kirby, Mazzucato Awarded Michler Prize, Spohn Awarded Heineman Prize, Rafe Mazzeo, Harold Parks, Lisette de Pillis, Peter National Academy of Engineering Elections. Sarnak, Mark Saul, Edward Spitznagel, John Swallow . SENIOR WRITER and DEPUTY EDITOR: Mathematics Opportunities 729 Allyn Jackson NSF Postdoctoral Research Fellowships, International Mathematics MANAGING EDITOR: Sandra Frost Competition for University Students. CONTRIBUTING WRITER: Elaine Kehoe Inside the AMS . 730 CONTRIBUTING EDITOR: Randi D. Ruden EDITORIAL ASSISTANT: David M. Collins Epsilon Awards for 2010, AMS Holds Workshop for Department Chairs, PRODUCTION: Kyle Antonevich, Anna Hattoy, From the AMS Public Awareness Office, Deaths of AMS Members, Teresa Levy, Mary Medeiros, Stephen Moye, Erin Correction. Murphy, Lori Nero, Karen Ouellette, Donna Salter, Deborah Smith, Peter Sykes, Patricia Zinni Reference and Book List . 732 ADVERTISING SALES: Anne Newcomb SUBSCRIPTION INFORMATION: Subscription prices Mathematics Calendar . 739 for Volume 58 (2011) are US$510 list; US$408 insti- tutional member; US$306 individual member; US$459 Classified Advertisements . 745 corporate member. (The subscription price for mem- bers is included in the annual dues.) A late charge of New Publications Offered by the AMS . 746 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Add for postage: Surface Meetings and Conferences of the AMS . 750 delivery outside the United States and India—US$27; in India—US$40; expedited delivery to destinations Meetings and Conferences Table of Contents . 759 in North America—US$35; elsewhere—US$120. Subscriptions and orders for AMS publications should be addressed to the American Mathematical Society, P.O. Box 845904, Boston, MA 02284-5904 USA. All orders must be prepaid. ADVERTISING: Notices publishes situations wanted and classified advertising, and display advertising for publishers and academic or scientific organizations. Advertising material or questions may be sent to [email protected] (classified ads) or notices-ads@ From the ams.org (display ads). SUBMISSIONS: Articles and letters may be sent to the editor by email at [email protected], by AMS Secretary fax at 314-935-6839, or by postal mail at Department of Mathematics, Washington University in St. Louis, Campus Box 1146, One Brookings Drive, St. Louis, MO American Mathematical Society—Contributions . 723 63130. Email is preferred. Correspondence with the managing editor may be sent to [email protected]. For more information, see the section “Reference and Officers of the Society 2010 and 2011 Updates . 735 Book List”. NOTICES ON THE AMS WEBSITE: Supported by the Call for Nominations for the George David Birkhoff, Frank AMS membership, most of this publication is freely Nelson Cole, and Levi L. Conant Prizes . 736 available electronically through the AMS website, the Society’s resource for delivering electronic prod- ucts and services. Use the URL http://www.ams. Call for Nominations for the Albert Leon Whiteman Memorial org/notices/ to access the Notices on the website. Prize and the AMS Distinguished Public Service Award . 737 [Notices of the American Mathematical Society (ISSN 0002- 9920) is published monthly except bimonthly in June/July by the American Mathemati cal Society at 201 Charles Street, Call for Nominations for the 2012 Frank and Brennie Morgan Providence, RI 02904-2294 USA, GST No. 12189 2046 RT****. AMS-MAA-SIAM Prize . 738 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 02940-6248 USA.] Publication here of the Society’s street address and the other information in brackets above is a technical requirement of the U.S. Postal Service. Tel: 401-455-4000, email: [email protected]. © Copyright 2011 by the American Mathematical Society. I thank Randi D. Ruden for her splendid editorial work, and All rights reserved. for helping to assemble this issue. She is essential to everything Printed in the United States of America. The paper used in this journal is acid-free and falls within the guidelines that I do. established to ensure permanence and durability. —Steven G. Krantz Opinions expressed in signed Notices articles are those of Editor the authors and do not necessarily reflect opinions of the editors or policies of the American Mathematical Society. Letters to the Editor New Bias Discovered: Proc. AMS AMS Rescues Commutative Honoring Professor Chern: Favors Commutative Rings to Algebra—Is Geometry Next? A Bridge Builder between Astronomy My article is meant to confront
Recommended publications
  • Nonextremal Black Holes, Subtracted Geometry and Holography

    Nonextremal Black Holes, Subtracted Geometry and Holography

    Nonextremal Black Holes, Subtracted Geometry and Holography Mirjam Cvetič Einstein’s theory of gravity predicts Black Holes Due to it’s high mass density the space-time curved so much that objects traveling toward it reach a point of no return à Horizon (& eventually reaches space-time singularity) Black holes `behave’ as thermodynamic objects w/ Bekenstein-Hawking entropy: S=¼ Ahorizon Ahorizon= area of the black hole horizon (w/ ħ=c=GN=1) Horizon-point of no return Space-time singularity Key Issue in Black Hole Physics: How to relate Bekenstein-Hawking - thermodynamic entropy: Sthermo=¼ Ahor (Ahor= area of the black hole horizon; c=ħ=1;GN=1) to Statistical entropy: Sstat = log Ni ? Where do black hole microscopic degrees Ni come from? Horizon Space-time singularity Black Holes in String Theory The role of D-branes D(irichlet)-branes Polchinski’96 boundaries of open strings with charges at their ends closed strings I. Implications for particle physics (charged excitations)-no time II. Implications for Black Holes Dual D-brane interpretation: extended massive gravitational objects D-branes in four-dimensions: part of their world-volume on compactified space & part in internal compactified space Cartoon of (toroidal) compactification; D-branes as gravitational objects Thermodynamic BH Entropy & wrap cycles in internal space: Statistical field theory interpretation intersecting D-branes in compact dimensions & charged black holes in four dim. space-time (w/ each D-brane sourcing charge Q ) i D-branes as a boundary of strings: microscopic degrees Ni are string excitations on intersecting D-branes w/ S = log Ni Strominger & Vafa ’96 the same! Prototype: four-charge black hole w/ S= π√Q1Q2P3P4 M.C.
  • Supergravity and Its Legacy Prelude and the Play

    Supergravity and Its Legacy Prelude and the Play

    Supergravity and its Legacy Prelude and the Play Sergio FERRARA (CERN – LNF INFN) Celebrating Supegravity at 40 CERN, June 24 2016 S. Ferrara - CERN, 2016 1 Supergravity as carved on the Iconic Wall at the «Simons Center for Geometry and Physics», Stony Brook S. Ferrara - CERN, 2016 2 Prelude S. Ferrara - CERN, 2016 3 In the early 1970s I was a staff member at the Frascati National Laboratories of CNEN (then the National Nuclear Energy Agency), and with my colleagues Aurelio Grillo and Giorgio Parisi we were investigating, under the leadership of Raoul Gatto (later Professor at the University of Geneva) the consequences of the application of “Conformal Invariance” to Quantum Field Theory (QFT), stimulated by the ongoing Experiments at SLAC where an unexpected Bjorken Scaling was observed in inclusive electron- proton Cross sections, which was suggesting a larger space-time symmetry in processes dominated by short distance physics. In parallel with Alexander Polyakov, at the time in the Soviet Union, we formulated in those days Conformal invariant Operator Product Expansions (OPE) and proposed the “Conformal Bootstrap” as a non-perturbative approach to QFT. S. Ferrara - CERN, 2016 4 Conformal Invariance, OPEs and Conformal Bootstrap has become again a fashionable subject in recent times, because of the introduction of efficient new methods to solve the “Bootstrap Equations” (Riccardo Rattazzi, Slava Rychkov, Erik Tonni, Alessandro Vichi), and mostly because of their role in the AdS/CFT correspondence. The latter, pioneered by Juan Maldacena, Edward Witten, Steve Gubser, Igor Klebanov and Polyakov, can be regarded, to some extent, as one of the great legacies of higher dimensional Supergravity.
  • Board Committee Academic Policy Documents B5 1

    Board Committee Academic Policy Documents B5 1

    Board of Trustees of The City University of New York RESOLUTION I.B.5 TO Award an Honorary Degree at Commencement by the Craig Newmark Graduate School of Journalism October 7, 2019 WHEREAS, journalist Masha Gessen is one of the keenest investigative reporters and observers of Russian politics and culture, as well as the present world of political life in the United States; and WHEREAS, Gessen, a staff writer at the New Yorker, is the author of ten books and countless articles for a variety of top journalistic outlets, including Slate, The New York Times, Vanity Fair, Harper’s, The New York Review of Books, U.S. News & World Report, and The New Republic; and WHEREAS, their publications have been acknowledged with numerous awards, fellowships and other honors, including the 2017 National Book Award for The Future is History: How Totalitarianism Reclaimed Russia; and WHEREAS, the Newmark Graduate School of Journalism is committed to serving the public interest by cultivating the next generation of skilled, ethically minded, and diverse journalists, and Gessen represents the values to which the Newmark J-School holds true, and to which we hope our graduates aspire; and WHEREAS, in granting this degree, the Newmark J-School will recognize Gessen's extensive contributions to our understanding of Russia and the importance of free expression through insightful and provocative books, essays, and articles; and WHEREAS, the honorary degree will also recognize their commitment to a robust democratic life, an informed electorate, and an active fourth estate; and WHEREAS, with the Newmark's J-School's emphasis on investigative reporting and the importance of strong journalism that stands up to tyranny, Gessen is an ideal candidate for the first-ever honorary CUNY degree from the J-School NOW, THEREFORE, BE IT RESOLVED, That the Craig Newmark Graduate School of Journalism at CUNY award Masha Gessen the degree of Doctor of Humane Letters, honoris causa, at the school’s commencement ceremony on December 13, 2019.
  • March 18, 2014

    March 18, 2014

    March 18, 2014 Student Highlight Faculty Updates Mazal Collection in the News Russian-A merican Journalist & A ctivist Masha Gessen Comes to CU East European Jewish A ffairs Journal Embodied Judaism Symposium Online Resources and Scholarships for Students On Campus & A round Town Student Highlight... Chelsea is pursuing a minor in Jewish Studies in addition to a major in International Affairs and a certificate in Digital Arts and Media. She first joined the Program in Jewish Studies because she wanted to incorporate genocide and religious studies into her broader major, and was specifically attracted to learning about gendered experiences within both the Holocaust and Judaism. We would like to congratulate Chelsea on recently being awarded the 2014 Jacob Van Ek S cholar Award! An outstanding student, this past year, Chelsea has also received the Wrenn Scholarship from the Boulder Chapter of the United Nations Association and the Ripple Award from the Dennis Small Cultural Center. During her time at CU, Chelsea has served as a member of the Jewish Studies Student Advisory Board, was the co-president of Hillel, played for CU's Women's Rugby team, served on CUSG and Student Outreach Retention Center for Equity (SORCE), and was on the KVCU Radio 1190 Task Force. Chelsea also works for the CU Recreation Center. This past summer 2013, Chelsea completed the CU in D.C. summer session, interning with Women's Action for New Directions and the Women Legislators' Lobby in Washington, DC. She worked particularly on women's advocacy and defense budget issues, as well as nuclear policies.
  • Physics-Compatible Discretization Techniques on Single and Dual Grids, with Application to the Poisson Equation of Volume Forms

    Physics-Compatible Discretization Techniques on Single and Dual Grids, with Application to the Poisson Equation of Volume Forms

    Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms Artur Palhaa, Pedro Pinto Rebelob, Rene´ Hiemstrab, Jasper Kreeftc, Marc Gerritsmab,∗ aDelft University of Technology, Faculty of Aerospace Engineering, Wind Energy Group P.O. Box 5058, 2600 GB Delft, The Netherlands bDelft University of Technology, Faculty of Aerospace Engineering, Aerodynamics Group P.O. Box 5058, 2600 GB Delft, The Netherlands cShell Global Solutions, The Netherlands Abstract This paper introduces the basic concepts for physics-compatible discretization techniques. The paper gives a clear distinction between vectors and forms. Based on the difference between forms and pseudo-forms and the ?-operator which switches between the two, a dual grid description and a single grid description are presented. The dual grid method resembles a staggered finite volume method, whereas the single grid approach shows a strong resemblance with a finite element method. Both approaches are compared for the Poisson equation for volume forms. Keywords: Mimetic discretization, differential forms, single grid, dual grid, geometric flexibility. 1. INTRODUCTION Mimetic methods aim to preserve essential physical/mathematical structures in a discrete setting. Many of such structures are topological, i.e. independent of metric, and involve integral relations. Since integration will play an important role and integration of differential forms is a metric-free operation, we will work with differential forms. Formally, differentials forms are linear functionals on multi-vectors, but Flanders, [17, p.1], refers to them as ‘things which occur under integral signs’. Such would not be the case if we were to use vectors, because integration of vector quantities is a metric operation.
  • Notices of the American Mathematical Society

    Notices of the American Mathematical Society

    June 18 and 19)- Page 341 Vl 0 ~ Mathematical Society Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE
  • VITA Erica Flapan Department of Mathematics

    VITA Erica Flapan Department of Mathematics

    VITA Erica Flapan Department of Mathematics (909) 621-8711 Pomona College 610 N. College Ave. Claremont, CA 91711, U.S.A. efl[email protected] http://pages.pomona.edu/ elf04747/ Education BA Hamilton College 1977 MA University of Wisconsin, Madison 1979 Ph.D University of Wisconsin, Madison 1983 Research Interests: 3-Manifolds, knot theory, topology of embedded graphs, applications of topology to chemistry and molecular biology Academic Positions 1983-1985, G.C. Evans Instructor, Rice University 1985-1986, Visiting Assistant Professor, University of California at Santa Barbara 1986-1990, Assistant Professor, Pomona College 1990-1998, Associate Professor, Pomona College 1998-present, Professor, Pomona College 2006-present, Lingurn H. Burkhead Professor, Pomona College Visiting Positions Fall 1987, Visiting Scholar, Universit´ede Paris-Sud, France Spring 1990, Visiting Scholar, Institute for Theoretical Dynamics, University of California at Davis Spring 1996, Research Associate, Institut Henri Poincar´e, France Fall 2000, Research Associate, Institut des Hautes Etudes´ Scientifiques, France Fall 2013, Long Term Visitor, Institute for Mathematics and its Applica- tions, University of Minnesota Spring 2015, Research Member in the Complementary Program, Mathemat- ical Sciences Research Institute National Awards and Honors 2011, Haimo Award for Distinguished College or University Teaching of Mathematics, Mathematical Association of America 2012, Inaugural Fellow of the American Mathematical Society 2015-2017, P´olya Lecturer of the Mathematical
  • January 2011 Prizes and Awards

    January 2011 Prizes and Awards

    January 2011 Prizes and Awards 4:25 P.M., Friday, January 7, 2011 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS George E. Andrews, President BÔCHER MEMORIAL PRIZE: ASAF NAOR, GUNTHER UHLMANN American Mathematical Society FRANK NELSON COLE PRIZE IN NUMBER THEORY: CHANDRASHEKHAR KHARE AND DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY JEAN-PIERRE WINTENBERGER TEACHING OF MATHEMATICS LEVI L. CONANT PRIZE: DAVID VOGAN Mathematical Association of America JOSEPH L. DOOB PRIZE: PETER KRONHEIMER AND TOMASZ MROWKA EULER BOOK PRIZE LEONARD EISENBUD PRIZE FOR MATHEMATICS AND PHYSICS: HERBERT SPOHN Mathematical Association of America RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: AMIE WILKINSON DAVID P. R OBBINS PRIZE LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT: JOHN WILLARD MILNOR Mathematical Association of America LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION: HENRYK IWANIEC BÔCHER MEMORIAL PRIZE LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: INGRID DAUBECHIES American Mathematical Society FOR AMS-MAA-SIAM LEVI L. CONANT PRIZE American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY AN UNDERGRADUATE STUDENT: MARIA MONKS LEONARD EISENBUD PRIZE FOR MATHEMATICS AND OR PHYSICS F AWM American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: PATRICIA CAMPBELL RUTH LYTTLE SATTER PRIZE IN MATHEMATICS M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE WOMEN IN MATHEMATICS: American Mathematical Society RHONDA HUGHES ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN: LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION SHERRY GONG Association for Women in Mathematics ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN FOR JPBM Association for Women in Mathematics COMMUNICATIONS AWARD: NICOLAS FALACCI AND CHERYL HEUTON M.
  • 2003 Newsletter

    2003 Newsletter

    1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266338622235369317931800607667263544333890865959395829056 M e t r o M a t h 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274274663919320030599218174135966290435729003342952605956307381323286279434907632 N e w s l e t t e r Metropolitan New York Section of The Mathematical Association of America February 2003 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055 Bronx Brooklyn Columbia Dutchess Greene Manhattan Nassau Orange Putnam Queens Richmond Rockland Suffolk Sullivan Ulster Westchester 1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236242825706662361528657244226025250937096027870684620376986531051228499 A N N U A L M E E T I N G Saturday, 3 May 2003 9:00 AM − 5:00 PM LaGuardia Community College (CUNY) Long Island City, New York (Inquire Within for More Information) E L E C T I O N B A L L O T E N C L O S E D SECTION OFFICERS Section Governor Raymond N. Greenwell (516) 463-5573 (2002 – 2005) Hofstra University [email protected] Chair John (Jack) Winn (631) 420-2182 (2001 – 2003) Farmingdale (SUNY) [email protected] Chair-Elect Abraham S. Mantell (516) 572-8092 (2001 – 2003) Nassau Community College (SUNY) [email protected] Secretary Dan King (914) 395-2424 (2000 – 2003)
  • On Fields of Totally $ S $-Adic Numbers

    On Fields of Totally $ S $-Adic Numbers

    ON FIELDS OF TOTALLY S-ADIC NUMBERS — WITH AN APPENDIX BY FLORIAN POP — LIOR BARY-SOROKER AND ARNO FEHM Abstract. Given a finite set S of places of a number field, we prove that the field of totally S-adic algebraic numbers is not Hilbertian. The field of totally real algebraic numbers Qtr, the field of totally p-adic algebraic numbers Qtp, and, more generally, fields of totally S-adic algebraic numbers QS, where S is a finite set of places of Q, play an important role in number theory and Galois theory, see for example [5, 9, 11, 7]. The objective of this note is to show that none of these fields is Hilbertian (see [3, Chapter 12] for the definition of a Hilbertian field). Although it is immediate that Qtr is not Hilbertian, it is less clear whether the same holds for Qtp. For example, every finite group that occurs as a Galois group over Qtr is generated by involutions (in fact, the converse also holds, see [4]) although over a Hilbertian field all finite abelian groups (for example) occur. In contrast, over Qtp every finite group occurs, see [2]. In fact, although (except in the case of Qtr) it was not clear whether these fields are actually Hilbertian, certain weak forms of Hilbertianity were proven and used, both explicitly and implicitly, for example in [4, 6]. Also, any proper finite extension of any of these fields is actually Hilbertian, see [3, Theorem 13.9.1]. The non-Hilbertianity of Qtp was implicitly stated and proven in [1, Examples 5.2] but this result seems to have escaped the notice of the community and was forgotten.
  • Agenda Formation and the U.S. Supreme Court: a Topic Model Approach

    Agenda Formation and the U.S. Supreme Court: a Topic Model Approach

    AGENDA FORMATION AND THE U.S. SUPREME COURT: A TOPIC MODEL APPROACH Michael A. Livermore Allen B. Riddell Daniel Rockmore* February 29, 2016 Introduction ................................................................................................................................................... 3 I. Agenda formation and text analysis .......................................................................................................... 7 A. A simple model of agenda formation ................................................................................................... 7 B. Prior literature .................................................................................................................................... 11 C. Topic models ...................................................................................................................................... 18 II. Applying the Topic Model ..................................................................................................................... 23 A. Data .................................................................................................................................................... 23 B. Fitting a topic model to the legal corpus ............................................................................................ 25 C. Testing the topic model ...................................................................................................................... 27 III. Differences and trends .........................................................................................................................
  • A Biography of Leon Ehrenpreis

    A Biography of Leon Ehrenpreis

    Developments in Mathematics VOLUME 28 Series Editors: Krishnaswami Alladi, University of Florida Hershel M. Farkas, Hebrew University of Jerusalem Robert Guralnick, University of Southern California For further volumes: http://www.springer.com/series/5834 Hershel M. Farkas • Robert C. Gunning Marvin I. Knopp • B.A. Taylor Editors From Fourier Analysis and Number Theory to Radon Transforms and Geometry In Memory of Leon Ehrenpreis 123 Editors Hershel M. Farkas Robert C. Gunning Einstein Institute of Mathematics Department of Mathematics The Hebrew University of Jerusalem Princeton University Givat Ram, Jerusalem Princeton, NJ Israel USA Marvin I. Knopp B.A. Taylor Department of Mathematics Department of Mathematics Temple University University of Michigan Philadelphia, PA Ann Arbor, MI USA USA ISSN 1389-2177 ISBN 978-1-4614-4074-1 ISBN 978-1-4614-4075-8 (eBook) DOI 10.1007/978-1-4614-4075-8 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012944371 © 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.