Notices of the American Mathematical Society (ISSN 0002- Call for Nominations for AMS Exemplary Program Prize

Total Page:16

File Type:pdf, Size:1020Kb

Notices of the American Mathematical Society (ISSN 0002- Call for Nominations for AMS Exemplary Program Prize American Mathematical Society Notable textbooks from the AMS Graduate and undergraduate level publications suitable fo r use as textbooks and supplementary course reading. A Companion to Analysis A Second First and First Second Course in Analysis T. W. Korner, University of Cambridge, • '"l!.li43#i.JitJij England Basic Set Theory "This is a remarkable book. It provides deep A. Shen, Independent University of and invaluable insight in to many parts of Moscow, Moscow, Russia, and analysis, presented by an accompli shed N. K. Vereshchagin, Moscow State analyst. Korner covers all of the important Lomonosov University, Moscow, R ussia aspects of an advanced calculus course along with a discussion of other interesting topics." " ... the book is perfectly tailored to general -Professor Paul Sally, University of Chicago relativity .. There is also a fair number of good exercises." Graduate Studies in Mathematics, Volume 62; 2004; 590 pages; Hardcover; ISBN 0-8218-3447-9; -Professor Roman Smirnov, Dalhousie University List US$79; All AJviS members US$63; Student Mathematical Library, Volume 17; 2002; Order code GSM/62 116 pages; Sofi:cover; ISBN 0-82 18-2731-6; Li st US$22; All AlviS members US$18; Order code STML/17 • lili!.JUM4-1"4'1 Set Theory and Metric Spaces • ij;#i.Jit-iii Irving Kaplansky, Mathematical Analysis Sciences R esearch Institute, Berkeley, CA Second Edition "Kaplansky has a well -deserved reputation Elliott H . Lleb M ichael Loss Elliott H. Lieb, Princeton University, for his expository talents. The selection of Princeton, NJ, and Michael Loss, Georgia topics is excellent." I nstitute of Technology, Atlanta, GA -Professor Lance Small, UC San Diego AMS Chelsea Publishing, 1972; "I liked the book very much. The topics chosen 140 pages; Hardcover; ISBN 0-8 218-2694-8; were su ited toward concepts that I wanted List US$29; All AMS members US$26; students to master." Order code CHEL/298.H -Professor Gary Sampson, Auburn University Graduate Studies in M athematics, Volume 14; 2001 ; 346 pages; Hardcove r; ISBN 0-8 218-2783-9; List US$41; All AMS members US$33; • IMWt.iiJ Order code GSM/14.R Partial Differential Equations Lawrence C. Evans, University of California, Berkeley, CA • lili!.Ji*3£WM'i "This excellent textbook is meant as an introduction to mathematical analysis of The Knot Book partial differential equations ... [This book is An Elementary Introduction to the recommended] as the first textbook for Mathematical Theory of Knots anyone who wants to learn the theory of Colin C. Adams, Williams College, partial differential equations." Williamstown, MA - European Mathematical Society NeJJJsletter Graduate Studies in M athematics, Volume 19; "I thought the book was very well suited for an 1998; 662 pages; Hardcover; ISBN 0-8218-0772-2; undergraduate knot theory/topology course. List US$79; All AMS members US$63; · The exposition was very clear." O rder code GSM/19 - Professor Jennifer Taback, BoJVdoin College 2004; 307 pages; Sofi:cover; ISBN 0-8218-3678-1; • For more information about these titles visit www.ams.org/bookstore List US$29; 1\11 AMS members US$23; Order code KNOT ·.....~-~ ~--------------------------~----­To order an exam copy visit www.ams.org/bookstore-exam-copy 3/06 N Editors INTERNATIONAL Morris Weisfeld Editor-in-Chief Enrico Arbarello Joseph Bernstein MATHEMATICS Manjul Bhargava Thomas Bloom Enrico Bombieri RESEARCH PAPERS Richard E. Borcherds Alexei Borodin Jean Bourgain http://www.hindawi.com/journals/imrp/ Marc Burger James W. Cogdell IMRP provides very fast publication of lengthy research articles of high current interest in Tobias Colding all areas of mathematics. All articles are fully refereed and are judged by their contribution Brian Conrad to the advancement of the state of the science of mathematics. Issues are published as Corrado De Concini frequently as necessary. Each issue will contain only one article. IMRP is expected to publish Percy Deift 400± pages in 2006. Robbert Dijkgraaf Nils Dencker Articles of at least 50 pages are welcome and all articles are refereed and judged for S. K. Donaldson correctness, interest, originality, depth, and applicability. Submissions are made by e-mail to Yakov Eliashberg [email protected]. An abstract for each article should be included. A copy may also Edward Frenkel be sent to an editor. Only an acknowledgment from the editorial office officially establishes Denis Gaitsgory the date of receipt. Submissions not prepared using TeX should be typed or printed on one Timothy Gowers side of the page, be double-spaced (including references), and have ample margins. Check Emmanuel Hebey contact information for submission by fax or post. When articles are accepted, production Dennis Hejhal begins immediately; authors should be available to assist the editorial staff. Helmut Hofer Please note that it is a condition of submission of a paper that the author(s) permit editing Yasutaka Ihara the paper for language correctness, readability, and compliance with the IMRP mathematical Michio Jimbo style. Kurt Johansson Masaki Kashiwara Illustrations can be in color. There are no page charges. Each author shall receive 100 Kiran S. Kedlaya complimentary reprints with covers. Carlos Kenig SergiuKlainerman Recently Published Articles Toshiyuki Kobayashi • Concentration Estimates for Emden-Fowler Equations with Boundary Singularities and Maxim Kontsevich Critical Growth, N. Ghoussoub and Frederic Robert Igor Krichever Shigeo Kusuoka • Topological Properties of Hamiltonian Circle Actions, Gilles Lebeau Dusa Mcduff and Susan Tolman Joachim Lohkamp • Almost-Commuting Variety, 'D-Modules, and Ch erednik Algebras, John Lott Wee Liang Gan and Victor Ginzburg Nikolai Makarov Yu. I. Marrin • Weak Identity Arrows in Higher Categories, Joachim Kock Barry Mazur • Isomonodromic Deformation of Resonant Rational Connections, Fabien Morel M. Bertola and M. Y. Mo Bjorn Poonen Eric Opdam eriodic Algebra-Geometric Coefficients, • On the Spectrum of Jacobi Operators w ith Quasip Michael Rapoport Vladimir Batchenko and Fritz Gesztesy Igor Rodnianski Peter Sarnak Subscription Information Freydoon Shahidi Subscription E-mail: [email protected] Carlos Simpson Stanislav Smirnov e only, $214.50 Institutional subscription rates for 2006 (400± pages) are $195.00 for onlin Michael Struwe for print only, and $234.00 for both online and print editions. Subscribers to the online G.Tian only edition or to the print and online editions of the journal in 2006 will get perpetual John Toth access to volumes 2005- 2006 (i.e., permanent online access to volumes 2005- 2006 even if the Takeshi Tsuji subscription is canceled in the future). Dan-Virgil Voiculescu All orders should be accompanied by payment and sent to Hindawi Publishing Corporation, Andrei Zelevinsky 410 Park Avenue, 15th Floor, #287 pmb, New York, NY 10022, USA. Maciej Zworski I--IJ N Q7\WJ Hindawi Publishing Corporation, 410 Park Avenue, 15th Floor, #287 pmb, New York, NY 10022, USA; II A Fax: l -866-446-3294 (USA, toll-free); URL: http://www.hindawi com; E-mail: [email protected] NEW [6 FORTHCOMING from Birkhiiuser Basic Algebra Number Theory Differential Geometry and ANTH 'ON~ W. KNAPP, State University of New York, Stony An Introduction via the Distribution of Analysis on CR Manifolds Brook, NY - Primes SORIN DRAGOMIR, Universita della Basilicata, Romano, This text presents a unifying approach to algebra for BENJAMIN FINE, Fairfield University, Fairfield, CT; Potenza, Italy; GIUSEPPE TOMASSINI, Scuola Normale students who are planning a career in which advanced ~ GERHARD ROSENBERGER, Universittit Dortmund, Superiore, Pisa, Italy mathematics will be used professionally. Key concepts, Germany The study of CR manifolds lies at the intersection of tools, and results are systematically developed. Most I This book provides an introduction and overview of importantly, the student achieves a global perspective of three main mathematical disciplines: partial differential number theory based on the distribution and properties equations, complex analysis in several complex the subject by seeing its vital role in analysis, topology, of primes. This unique approach provides both a firm geometry, and number theory. variables, and differential geometry. While the POE and background in the standard material as well as an complex analytic aspects have been intensely studied in Three prominent themes recur: the analogy between overview of the whole discipline. All the essential topics the last fifty years, much effort has been recently made integers and polynomials in one variable over a field, the are covered: fundamental theorem of arithmetic, theory to understand the differential geometric side of the interplay between linear algebra and group theory, and of congruences, quadratic reciprocity, arithmetic subject. This monograph provides a unified presentation the relationship between number theory and geometry. functions, and the distribution of primes. Analytic of several differential geometric aspects in the theory More than 400 problems at the ends of chapters develop number theory and algebraic number theory both of CR manifolds and tangential Cauchy-Riemann related topics and point to additional applications. A90- receive a solid introductory treatment. equations. page section at the end of the book gives detailed hints The book's user-friendly style, historical context, and for most of the problems, complete solutions for many. wide range of exercises ranging from simple to quite 2006/584 PP./HARDCOVER ISBN 0-8176-4388-5/$109.00
Recommended publications
  • CMI Summer Schools
    CMI Summer Schools 2007 Homogeneous flows, moduli spaces, and arithmetic De Giorgi Center, Pisa 2006 Arithmetic Geometry The Clay Mathematics Institute has Mathematisches Institut, conducted a program of research summer schools Georg-August-Universität, Göttingen since 2000. Designed for graduate students and PhDs within five years of their degree, the aim of 2005 Ricci Flow, 3-manifolds, and Geometry the summer schools is to furnish a new generation MSRI, Berkeley of mathematicians with the knowledge and tools needed to work successfully in an active research CMI summer schools 2004 area. Three introductory courses, each three weeks Floer Homology, Gauge Theory, and in duration, make up the core of a typical summer Low-dimensional Topology school. These are followed by one week of more Rényi Institute, Budapest advanced minicourses and individual talks. Size is limited to roughly 100 participants in order to 2003 Harmonic Analysis, Trace Formula, promote interaction and contact. Venues change and Shimura Varieties from year to year, and have ranged from Cambridge, Fields Institute, Toronto Massachusetts to Pisa, Italy. The lectures from each school are published in the CMI–AMS proceedings 2002 Geometry and String Theory series, usually within two years’ time. Newton Institute, Cambridge UK Summer Schools 2001 www.claymath.org/programs/summer_school Minimal surfaces MSRI, Berkeley Summer School Proceedings www.claymath.org/publications 2000 Mirror Symmetry Pine Manor College, Boston 2006 Arithmetic Geometry Summer School in Göttingen techniques are drawn from the theory of elliptic The 2006 summer school program will introduce curves, including modular curves and their para- participants to modern techniques and outstanding metrizations, Heegner points, and heights.
    [Show full text]
  • Annual Report 2005-2006
    CORNELL UNIVERSITY DEPARTMENT OF MATHEMATICS ANNUAL REPORT 2005–2006 The Department of Mathematics at Cornell University is known throughout the world for its distinguished faculty and stimulating mathematical atmosphere. Close to 40 tenured and tenure-track faculty represent a broad spectrum of current mathematical research, with a lively group of postdoctoral fellows and frequent research and teaching visitors. The graduate program includes over 70 graduate students from many different countries. The undergraduate program includes several math major programs, and the department offers a wide selection of courses for all types of users of mathematics. A private endowed university and the federal land-grant institution of New York State, Cornell is a member of the Ivy League and a partner of the State University of New York. There are approximately 19,500 students at Cornell’s Ithaca campus enrolled in seven undergraduate units and four graduate and professional units. Nearly 14,000 of those students are undergraduates, and most of those take at least one math course during their time at Cornell. The Mathematics Department is part of the College of Arts and Sciences, a community of 6,000 students and faculty in 50 departments and programs, encompassing the humanities, sciences, mathematics, fine arts, and social sciences. We are located in Malott Hall, in the center of the Cornell campus, atop a hill between two spectacular gorges that run down to Cayuga Lake in the beautiful Finger Lakes region of New York State. Department Chair: Prof. Kenneth Brown Director of Undergraduate Studies (DUS): Prof. Allen Hatcher Director of Graduate Studies (DGS): Prof.
    [Show full text]
  • Notices of the American Mathematical Society June/July 2006
    of the American Mathematical Society ... (I) , Ate._~ f.!.o~~Gffi·u.­ .4-e.e..~ ~~~- •i :/?I:(; $~/9/3, Honoring J ~ rt)d ~cLra-4/,:e~ o-n. /'~7 ~ ~<A at a Gift from fL ~ /i: $~ "'7/<J/3. .} -<.<>-a.-<> ~e.Lz?-1~ CL n.y.L;; ro'T>< 0 -<>-<~:4z_ I Kumbakonam li .d. ~ ~~d a. v#a.d--??">ovt<.·c.-6 ~~/f. t:JU- Lo,.,do-,......) ~a page 640 ~!! ?7?.-L ..(; ~7 Ca.-uM /3~~-d~ .Y~~:Li: ~·e.-l a:.--nd '?1.-d- p ~ .di.,r--·c/~ C(c£~r~~u . J~~~aq_ f< -e-.-.ol ~ ~ ~/IX~ ~ /~~ 4)r!'a.. /:~~c~ •.7~ The Millennium Grand Challenge .(/.) a..Lu.O<"'? ...0..0~ e--ne_.o.AA/T..C<.r~- /;;; '7?'E.G .£.rA-CLL~ ~ ·d ~ in Mathematics C>n.A..U-a.A-d ~~. J /"-L .h. ?n.~ ~?(!.,£ ~ ~ &..ct~ /U~ page 652 -~~r a-u..~~r/a.......<>l/.k> 0?-t- ~at o ~~ &~ -~·e.JL d ~~ o(!'/UJD/ J;I'J~~Lcr~~ 0 ??u£~ ifJ>JC.Qol J ~ ~ ~ -0-H·d~-<.() d Ld.orn.J,k, -F-'1-. ~- a-o a.rd· J-c~.<-r:~ rn-u-{-r·~ ~'rrx ~~/ ~-?naae ~~ a...-'XS.otA----o-n.<l C</.J.d:i. ~~~ ~cL.va- 7 ??.L<A) ~ - Ja/d ~~ ./1---J- d-.. ~if~ ~0:- ~oj'~ t1fd~u: - l + ~ _,. :~ _,. .~., -~- .. =- ~ ~ d.u. 7 ~'d . H J&."dIJ';;;::. cL. r ~·.d a..L- 0.-n(U. jz-o-cn-...l- o~- 4; ~ .«:... ~....£.~.:: a/.l~!T cLc.·£o.-4- ~ d.v. /-)-c~ a;- ~'>'T/JH'..,...~ ~ d~~ ~u ~­ ~ a..t-4. l& foLk~ '{j ~~- e4 -7'~ -£T JZ~~c~ d.,_ .&~ o-n ~ -d YjtA:o ·C.LU~ ~or /)-<..,.,r &-.
    [Show full text]
  • 01-Vol-22.Pdf
    Monográfico Especial, Mujer y Comunicación Número 22, marzo 2020 Special Issue, Woman and Communication Number 22, March 2020 22 REVISTAINTERNACIONALDEINVESTIGACIÓNENCOMUNICACIÓN INTERNATIONALJOURNALOFCOMMUNICATIONRESEARCH Marketing, estrategia y género. La fijación de límites en el uso de la imagen de la mujer en publicidad · págs. 10 a 33 1 Monográfico Especial, Mujer y Comunicación Número 22, marzo 2020 Special Issue, Woman and Communication Number 22, March 2020 REVISTAINTERNACIONALDEINVESTIGACIÓNENCOMUNICACIÓN INTERNATIONALJOURNALOFCOMMUNICATIONRESEARCH Edita: ESIC Editorial Published by: ESIC Editorial Avda. de Valdenigrales, s/n Avda. de Valdenigrales, s/n 28223 Pozuelo de Alarcón (Madrid) España 28223 Pozuelo de Alarcón (Madrid) España Tel. +34 91 452 41 00 Tel. +34 91 452 41 00 [email protected] [email protected] www.esic.edu/editorial www.esic.edu/editorial Doble número, Monográfico especial, Special Issue, March 2020 marzo 2020 Madrid-Spain Madrid-España [email protected] [email protected] [email protected] [email protected] http://adresearch.esic.edu http://adresearch.esic.edu Sales terms: Condiciones de venta: Spain: 40 euros an issue. España: 40 euros un número. 60 euros annual subscription. 60 euros suscripción anual. Other countries: 50 euros an issue. Extranjero: 50 euros un número. 90 euros annual subscription. 90 euros suscripción anual. BIANNUAL EDITION EDICIÓN SEMESTRAL aDResearch ESIC, International Journal of aDResearch ESIC, Revista Internacional de Communication Research, does not necessa- Investigación en Comunicación, no se rily identify with the opinions and judge- identifica necesariamente con los juicios y ments of its collaborators, who are exclusively opiniones de sus colaboradores, a quienes reponsible for them. Forbidden the partial or corresponde en exclusiva la reponsabilidad total reproduction of this magazine without de los mismos.
    [Show full text]
  • MODELING and ANALYSIS of MOBILE TELEPHONY PROTOCOLS by Chunyu Tang a DISSERTATION Submitted to the Faculty of the Stevens Instit
    MODELING AND ANALYSIS OF MOBILE TELEPHONY PROTOCOLS by Chunyu Tang A DISSERTATION Submitted to the Faculty of the Stevens Institute of Technology in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chunyu Tang, Candidate ADVISORY COMMITTEE David A. Naumann, Chairman Date Yingying Chen Date Daniel Duchamp Date Susanne Wetzel Date STEVENS INSTITUTE OF TECHNOLOGY Castle Point on Hudson Hoboken, NJ 07030 2013 c 2013, Chunyu Tang. All rights reserved. iii MODELING AND ANALYSIS OF MOBILE TELEPHONY PROTOCOLS ABSTRACT The GSM (2G), UMTS (3G), and LTE (4G) mobile telephony protocols are all in active use, giving rise to a number of interoperation situations. This poses serious challenges in ensuring authentication and other security properties. Analyzing the security of all possible interoperation scenarios by hand is, at best, tedious under- taking. Model checking techniques provide an effective way to automatically find vulnerabilities in or to prove the security properties of security protocols. Although the specifications address the interoperation cases between GSM and UMTS and the switching and mapping of established security context between LTE and previous technologies, there is not a comprehensive specification of which are the possible interoperation cases. Nor is there comprehensive specification of the procedures to establish security context (authentication and short-term keys) in the various interoperation scenarios. We systematically enumerate the cases, classifying them as allowed, disallowed, or uncertain with rationale based on detailed analysis of the specifications. We identify the authentication and key agreement procedure for each of the possible cases. We formally model the pure GSM, UMTS, LTE authentication protocols, as well as all the interoperation scenarios; we analyze their security, in the symbolic model of cryptography, using the tool ProVerif.
    [Show full text]
  • Department of Computer Science
    i cl i ck ! MAGAZINE click MAGAZINE 2014, VOLUME II FIVE DECADES AS A DEPARTMENT. THOUSANDS OF REMARKABLE GRADUATES. 50COUNTLESS INNOVATIONS. Department of Computer Science click! Magazine is produced twice yearly for the friends of got your CS swag? CS @ ILLINOIS to showcase the innovations of our faculty and Commemorative 50-10 Anniversary students, the accomplishments of our alumni, and to inspire our t-shirts are available! partners and peers in the field of computer science. Department Head: Editorial Board: Rob A. Rutenbar Tom Moone Colin Robertson Associate Department Heads: Rob A. Rutenbar shop now! my.cs.illinois.edu/buy Gerald DeJong Michelle Wellens Jeff Erickson David Forsyth Writers: David Cunningham CS Alumni Advisory Board: Elizabeth Innes Alex R. Bratton (BS CE ’93) Mike Koon Ira R. Cohen (BS CS ’81) Rick Kubetz Vilas S. Dhar (BS CS ’04, BS LAS BioE ’04) Leanne Lucas William M. Dunn (BS CS ‘86, MS ‘87) Tom Moone Mary Jane Irwin (MS CS ’75, PhD ’77) Michelle Rice Jennifer A. Mozen (MS CS ’97) Colin Robertson Daniel L. Peterson (BS CS ’05) Laura Schmitt Peter L. Tannenwald (BS LAS Math & CS ’85) Michelle Wellens Jill C. Zmaczinsky (BS CS ’00) Design: Contact us: SURFACE 51 [email protected] 217-333-3426 Machines take me by surprise with great frequency. Alan Turing 2 CS @ ILLINOIS Department of Computer Science College of Engineering, College of Liberal Arts & Sciences University of Illinois at Urbana-Champaign shop now! my.cs.illinois.edu/buy click i MAGAZINE 2014, VOLUME II 2 Letter from the Head 4 ALUMNI NEWS 4 Alumni
    [Show full text]
  • Strength in Numbers: the Rising of Academic Statistics Departments In
    Agresti · Meng Agresti Eds. Alan Agresti · Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics DepartmentsStatistics in the U.S. Rising of Academic The in Numbers: Strength Statistics Departments in the U.S. Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. Alan Agresti • Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. 123 Editors Alan Agresti Xiao-Li Meng Department of Statistics Department of Statistics University of Florida Harvard University Gainesville, FL Cambridge, MA USA USA ISBN 978-1-4614-3648-5 ISBN 978-1-4614-3649-2 (eBook) DOI 10.1007/978-1-4614-3649-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012942702 Ó Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer.
    [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]
  • Lipics-ISAAC-2020-42.Pdf (0.5
    Multiparty Selection Ke Chen Department of Computer Science, University of Wisconsin–Milwaukee, WI, USA [email protected] Adrian Dumitrescu Department of Computer Science, University of Wisconsin–Milwaukee, WI, USA [email protected] Abstract Given a sequence A of n numbers and an integer (target) parameter 1 ≤ i ≤ n, the (exact) selection problem is that of finding the i-th smallest element in A. An element is said to be (i, j)-mediocre if it is neither among the top i nor among the bottom j elements of S. The approximate selection problem is that of finding an (i, j)-mediocre element for some given i, j; as such, this variant allows the algorithm to return any element in a prescribed range. In the first part, we revisit the selection problem in the two-party model introduced by Andrew Yao (1979) and then extend our study of exact selection to the multiparty model. In the second part, we deduce some communication complexity benefits that arise in approximate selection. In particular, we present a deterministic protocol for finding an approximate median among k players. 2012 ACM Subject Classification Theory of computation Keywords and phrases approximate selection, mediocre element, comparison algorithm, i-th order statistic, tournaments, quantiles, communication complexity Digital Object Identifier 10.4230/LIPIcs.ISAAC.2020.42 1 Introduction Given a sequence A of n numbers and an integer (selection) parameter 1 ≤ i ≤ n, the selection problem asks to find the i-th smallest element in A. If the n elements are distinct, the i-th smallest is larger than i − 1 elements of A and smaller than the other n − i elements of A.
    [Show full text]
  • Convergence of Complete Ricci-Flat Manifolds Jiewon Park
    Convergence of Complete Ricci-flat Manifolds by Jiewon Park Submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY May 2020 © Massachusetts Institute of Technology 2020. All rights reserved. Author . Department of Mathematics April 17, 2020 Certified by. Tobias Holck Colding Cecil and Ida Green Distinguished Professor Thesis Supervisor Accepted by . Wei Zhang Chairman, Department Committee on Graduate Theses 2 Convergence of Complete Ricci-flat Manifolds by Jiewon Park Submitted to the Department of Mathematics on April 17, 2020, in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Abstract This thesis is focused on the convergence at infinity of complete Ricci flat manifolds. In the first part of this thesis, we will give a natural way to identify between two scales, potentially arbitrarily far apart, in the case when a tangent cone at infinity has smooth cross section. The identification map is given as the gradient flow of a solution to an elliptic equation. We use an estimate of Colding-Minicozzi of a functional that measures the distance to the tangent cone. In the second part of this thesis, we prove a matrix Harnack inequality for the Laplace equation on manifolds with suitable curvature and volume growth assumptions, which is a pointwise estimate for the integrand of the aforementioned functional. This result provides an elliptic analogue of matrix Harnack inequalities for the heat equation or geometric flows. Thesis Supervisor: Tobias Holck Colding Title: Cecil and Ida Green Distinguished Professor 3 4 Acknowledgments First and foremost I would like to thank my advisor Tobias Colding for his continuous guidance and encouragement, and for suggesting problems to work on.
    [Show full text]
  • View from the Chair
    View from the Chair This past summer we initiated a major new program for John Imbrie research experiences for undergraduates (REUs), Professor of Mathematics/Chair combining Ken Ono's long-running program in number theory with a new program in geometry and topology, I write at the conclusion of an extraordinary year for our supported by the RTG grant. Despite the challenges of work- department. As 2020 began, we were gearing up to host the ing remotely, the program was very successful -- see the AMS sectional, which was to start on March 12. Early article below by Ken Ono and Tom Mark. Other indications were that large gatherings were a major highlights of this Virginia Math Bulletin include an article on contributor to the spread of the pandemic, so we hastily our new bridge program, by David Sherman (our new cancelled the event, which was to bring 700 participants to Director of Diversity, Equity, and Inclusion). Our Bridge to Charlottesville. Soon, the university cancelled classes and the Doctorate currently supports three students were abruptly sent post-baccalaureate students as they home. Faculty members and prepare for entry into a Ph.D. program. graduate students were tasked with quickly finding Sadly, it was impossible to conduct the a way to hold classes online. Gordon Keller math majors dinner. We The learning curve was had planned to host UVa graduate steep, but we came together and McShane Prize winner Adrew Booker, to reinvent our modes of who was in the news for work leading to teaching. Now we reach the the long-sought integer solutions to conclusion of a semester x3 + y3 + z3 = 33 and x3 + y3 + z3 = 42.
    [Show full text]
  • Notices of the AMS 595 Mathematics People NEWS
    NEWS Mathematics People contrast electrical impedance Takeda Awarded 2017–2018 tomography, as well as model Centennial Fellowship reduction techniques for para- bolic and hyperbolic partial The AMS has awarded its Cen- differential equations.” tennial Fellowship for 2017– Borcea received her PhD 2018 to Shuichiro Takeda. from Stanford University and Takeda’s research focuses on has since spent time at the Cal- automorphic forms and rep- ifornia Institute of Technology, resentations of p-adic groups, Rice University, the Mathemati- especially from the point of Liliana Borcea cal Sciences Research Institute, view of the Langlands program. Stanford University, and the He will use the Centennial Fel- École Normale Supérieure, Paris. Currently Peter Field lowship to visit the National Collegiate Professor of Mathematics at Michigan, she is Shuichiro Takeda University of Singapore and deeply involved in service to the applied and computa- work with Wee Teck Gan dur- tional mathematics community, in particular on editorial ing the academic year 2017–2018. boards and as an elected member of the SIAM Council. Takeda obtained a bachelor's degree in mechanical The Sonia Kovalevsky Lectureship honors significant engineering from Tokyo University of Science, master's de- contributions by women to applied or computational grees in philosophy and mathematics from San Francisco mathematics. State University, and a PhD in 2006 from the University —From an AWM announcement of Pennsylvania. After postdoctoral positions at the Uni- versity of California at San Diego, Ben-Gurion University in Israel, and Purdue University, since 2011 he has been Pardon Receives Waterman assistant and now associate professor at the University of Missouri at Columbia.
    [Show full text]