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1 Lenore Blum, Matemática Computacional, Algoritmos, Lógica, Geometría Algebraica
MATEMATICOS ACTUALES Lenore Blum, Matemática computacional, Algoritmos, Lógica, Geometría algebraica. Debemos dejar claro desde el comienzo de esta biografía de Lenore Blum que Blum es su apellido de casada, que solo tomó después de casarse con Manuel Blum, que también era matemático. Sin embargo, para evitar confusiones, nos referiremos a ella como Blum a lo largo de este artículo. Los padres de Lenore eran Irving y Rose y, además de una hermana, Harriet, que era dos años menor que Lenore, ella era parte de una extensa familia judía con varias tías y tíos. Su madre Rose era maestra de ciencias de secundaria en Nueva York. Lenore asistió a una escuela pública en la ciudad de Nueva York hasta que tuvo nueve años cuando su familia se mudó a América del Sur. Su padre Irving trabajaba en el negocio de importación/exportación y él y su esposa se instalaron en Venezuela con Lenore y Harriet. Durante su primer año en Caracas, Lenore no asistió a la escuela, sin embargo su madre le enseñó. Básicamente, la familia era demasiado pobre para poder pagar las tasas escolares. Al cabo de un año, Rose ocupó un puesto docente en la Escuela Americana E. Campo Alegre, en Caracas, y esto proporcionó suficiente dinero para permitir que Lenore asistiera a la escuela secundaria y luego a la escuela secundaria en Caracas. Mientras estaba en Caracas, conoció a Manuel Blum, quien también era de una familia judía. Manuel salió de Caracas mientras Lenore todavía estaba allí en la escuela y se fue a los Estados Unidos donde ingresó como estudiante en el Instituto de Tecnología de Massachusetts. -
The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
HHMC 2017 (2017 Workshop on Hybrid Human-Machine Computing)
CRonEM CRonEM HHMC 2017 (2017 Workshop on Hybrid Human-Machine Computing) 20 & 21 September 2017 Treetops, Wates House, University of Surrey Guildford, Surrey, UK Programme INTRODUCTION KEYNOTE 1 The 2017 Workshop on Hybrid Human-Machine Computing (HHMC 2017) is 2-day workshop, to be held Title: Password Generation, an Example of Human Computation at the University of Surrey, Guildford, UK, on 20 and 21 September, 2017. It is a workshop co-funded by Abstract: University of Surrey’s Institute for Advanced Studies (IAS), a number of other organizations and related research projects. A password schema is an algorithm for humans - working in their heads - without paper and pencil - to transform challenges (typically website names) into responses (passwords). When we talk about “computing” we often mean computers do something (for humans), but due to the more and more blurred boundary between humans and computers, this old paradigm of “computing” has To start this talk, the speaker will ask for 2 or 3 volunteers, whisper instructions in their ears, then have them changed drastically, e.g., in human computation humans do all or part of the computing (for machines), transform audience-proposed challenges (like AMAZON and FACEBOOK) into passwords. in computer-supported cooperative work (CSCW) humans are working together with assistance from The passwords will look random. The audience will be challenged to guess properties of the passwords but computers to conduct cooperative work, in social computing and computer-mediated communication even the simple schema the speaker whispered to the volunteers will produce passwords that look random. people’s social behaviors are intermingled with computer systems so computing happens with humans and These passwords can be easily made so strong that they pass virtually all password tests, like passwordmeter. -
Jeffrey Hoffstein Jill Pipher Joseph H. Silverman
Undergraduate Texts in Mathematics Je rey Ho stein Jill Pipher Joseph H. Silverman An Introduction to Mathematical Cryptography Second Edition Undergraduate Texts in Mathematics Undergraduate Texts in Mathematics Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Kenneth Ribet University of California, Berkeley, CA, USA Advisory Board: Colin Adams, Williams College, Williamstown, MA, USA Alejandro Adem, University of British Columbia, Vancouver, BC, Canada Ruth Charney, Brandeis University, Waltham, MA, USA Irene M. Gamba, The University of Texas at Austin, Austin, TX, USA Roger E. Howe, Yale University, New Haven, CT, USA David Jerison, Massachusetts Institute of Technology, Cambridge, MA, USA Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI, USA Jill Pipher, Brown University, Providence, RI, USA Fadil Santosa, University of Minnesota, Minneapolis, MN, USA Amie Wilkinson, University of Chicago, Chicago, IL, USA Undergraduate Texts in Mathematics are generally aimed at third- and fourth- year undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interre- lations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding. More information about this series at http://www.springer.com/series/666 Jeffrey Hoffstein • Jill Pipher Joseph -
Ζ−1 Using Theorem 1.2
UC San Diego UC San Diego Electronic Theses and Dissertations Title Ihara zeta functions of irregular graphs Permalink https://escholarship.org/uc/item/3ws358jm Author Horton, Matthew D. Publication Date 2006 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California UNIVERSITY OF CALIFORNIA, SAN DIEGO Ihara zeta functions of irregular graphs A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by Matthew D. Horton Committee in charge: Professor Audrey Terras, Chair Professor Mihir Bellare Professor Ron Evans Professor Herbert Levine Professor Harold Stark 2006 Copyright Matthew D. Horton, 2006 All rights reserved. The dissertation of Matthew D. Horton is ap- proved, and it is acceptable in quality and form for publication on micro¯lm: Chair University of California, San Diego 2006 iii To my wife and family Never hold discussions with the monkey when the organ grinder is in the room. |Sir Winston Churchill iv TABLE OF CONTENTS Signature Page . iii Dedication . iv Table of Contents . v List of Figures . vii List of Tables . viii Acknowledgements . ix Vita ...................................... x Abstract of the Dissertation . xi 1 Introduction . 1 1.1 Preliminaries . 1 1.2 Ihara zeta function of a graph . 4 1.3 Simplifying assumptions . 8 2 Poles of the Ihara zeta function . 10 2.1 Bounds on the poles . 10 2.2 Relations among the poles . 13 3 Recovering information . 17 3.1 The hope . 17 3.2 Recovering Girth . 18 3.3 Chromatic polynomials and Ihara zeta functions . 20 4 Relations among Ihara zeta functions . -
President's Report
Newsletter Volume 42, No. 5 • SePTemBeR–oCT oBeR 2012 PRESIDENT’S REPORT AWM Prize Winners. I am pleased to announce the winners of two of the three major prizes given by AWM at the Joint Mathematics Meetings (JMM). The Louise Hay Award is given to Amy Cohen, Rutgers University, in recognition of The purpose of the Association her “contributions to mathematics education through her writings, her talks, and for Women in Mathematics is her outstanding service to professional organizations.” The Gweneth Humphreys • to encourage women and girls to Award is given to James Morrow, University of Washington, in recognition of study and to have active careers in his “outstanding achievements in inspiring undergraduate women to discover and the mathematical sciences, and • to promote equal opportunity and pursue their passion for mathematics.” I quote from the citations written by the the equal treatment of women and selection committees and extend warm congratulations to the honorees. These girls in the mathematical sciences. awards will be presented at the Prize Session at JMM 2013 in San Diego. Congratulations to Raman Parimala, Emory University, who will present the AWM Noether Lecture at JMM 2013, entitled “A Hasse Principle for Quadratic Forms over Function Fields.” She is honored for her groundbreaking research in theory of quadratic forms, hermitian forms, linear algebraic groups, and Galois cohomology. The Noether Lecture is the oldest of the three named AWM Lectures. (The Falconer Lecture is presented at MathFest, and the Sonia Kovalevsky at the SIAM Annual Meeting.) The first Noether Lecture was given by F. Jessie MacWilliams in 1980 in recognition of her fundamental contributions to the theory of error correcting codes. -
Calendar of AMS Meetings and Conferences
Calendar of AMS Meetings and Conferences This calendar lists all meetings and conferences approved prior to the date this insofar as is possible. Abstracts should be submitted on special forms which are issue went to press. The summer and annual meetings are joint meetings of the available in many departments of mathematics and from the headquarters office of Mathematical Association of America and the American Mathematical Society. The the Society. Abstracts of papers to be presented at the meeting must be received meeting dates which fall rather far in the future are subject to change; this is par at the headquarters of the Society in Providence, Rhode Island, on or before the ticularly true of meetings to which no numbers have been assigned. Programs of deadline given below for the meeting. The abstract deadlines listed below should the meetings will appear in the issues indicated below. First and supplementary be carefully reviewed since an abstract deadline may expire before publication of announcements of the meetings will have appeared in earlier issues. Abstracts a first announcement. Note that the deadline for abstracts for consideration for of papers presented at a meeting of the Society are published in the journal Ab presentation at special sessions is usually three weeks earlier than that specified stracts of papers presented to the American Mathematical Society in the issue below. For additional information, consult the meeting announcements and the list corresponding to that of the Notices which contains the program of the meeting, of special sessions. Meetings Abstract Program Meeting# Date Place Deadline Issue 876 * October 30-November 1 , 1992 Dayton, Ohio August 3 October 877 * November ?-November 8, 1992 Los Angeles, California August 3 October 878 * January 13-16, 1993 San Antonio, Texas OctoberS December (99th Annual Meeting) 879 * March 26-27, 1993 Knoxville, Tennessee January 5 March 880 * April9-10, 1993 Salt Lake City, Utah January 29 April 881 • Apnl 17-18, 1993 Washington, D.C. -
2019 Symposium Schedule of Events and Abstracts
2019 AWM Research Symposium Schedule Rice University, Houston Texas Friday, April 5, 2019 5:00-8:00pm Informal Opening Reception Outside Valhalla Hall | Rice University Saturday, April 6, 2019 8:00-8:30am Registration and Continental Breakfast (Duncan Hall) 8:30-8.45am Welcoming Remarks: Ruth Haas, AWM President, and Ami Radunskaya, AWM Past-President (McMurtry Auditorium, Duncan Hall) 8:45-9:30am Plenary Lecture: Chelsea Walton, University of Illinois Title: Quantum Symmetry Location: McMurtry Auditorium, Duncan Hall 9:30-10:15 Exhibits and Coffee (Martel Atrium, Duncan Hall) 10:15-12:15 Research Sessions (expanded below) ACxx: Women in Algebraic Combinatorics, I (Keck 105) Analysis and Numerical Methods for Kinetic Transport and Related Models, I (Duncan Hall 1046) Applied and Computational Harmonic Analysis, I (Duncan Hall 1075) Combinatorial Commutative Algebra, I (Hermann Brown 227) WICA: Women in Commutative Algebra, I (Herzstein 212) Education Partnerships: University Mathematics Faculty and K-12 Mathematics Teachers (Herzstein 210) New Advances in Symplectic and Contact Topology, I (Hermann Brown 423) Topology of 3- and 4-Manifolds, I (Hermann Brown 427) WIC: Women in Control, I (Duncan Hall 1042) WIMM: Women in Mathematics of Materials, I (Herzstein 211) WINASC: Women in Numerical Analysis and Scientific Computing, I (Duncan Hall 1064) WinCompTop: Women in Computational Topology, I (Keck 100) WINART: Women in Noncommutative Algebra and Representation Theory, I (Keck 107) WIN: Women in Numbers, I (Herman Brown 453) WiSh: -
Ihara Zeta Functions
Audrey Terras 2/16/2004 fun with zeta and L- functions of graphs Audrey Terras U.C.S.D. February, 2004 IPAM Workshop on Automorphic Forms, Group Theory and Graph Expansion Introduction The Riemann zeta function for Re(s)>1 ∞ 1 −1 ζ ()sp== 1 −−s . ∑ s ∏ () n=1 n pprime= Riemann extended to all complex s with pole at s=1. Functional equation relates value at s and 1-s Riemann hypothesis duality between primes and complex zeros of zeta See Davenport, Multiplicative Number Theory. 1 Audrey Terras 2/16/2004 Graph of |Zeta| Graph of z=| z(x+iy) | showing the pole at x+iy=1 and the first 6 zeros which are on the line x=1/2, of course. The picture was made by D. Asimov and S. Wagon to accompany their article on the evidence for the Riemann hypothesis as of 1986. A. Odlyzko’s Comparison of Spacings of Zeros of Zeta and Eigenvalues of Random Hermitian Matrix. See B. Cipra, What’s Happening in Math. Sciences, 1998-1999. 2 Audrey Terras 2/16/2004 Dedekind zeta of an We’ll algebraic number field F, say where primes become prime more ideals p and infinite product of about number terms field (1-Np-s)-1, zetas Many Kinds of Zeta Np = norm of p = #(O/p), soon O=ring of integers in F but not Selberg zeta Selberg zeta associated to a compact Riemannian manifold M=G\H, H = upper half plane with arc length ds2=(dx2+dy2)y-2 , G=discrete group of real fractional linear transformations primes = primitive closed geodesics C in M of length −+()()sjν C ν(C), Selberg Zs()=− 1 e (primitive means only go Zeta = ∏ ∏( ) around once) []Cj≥ 0 Reference: A.T., Harmonic Analysis on Symmetric Duality between spectrum ∆ on M & lengths closed geodesics in M Spaces and Applications, I. -
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011
Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 TABLE OF CONTENTS EXECUTIVE SUMMARY 2 A. PARTICIPANT LIST 3 B. FINANCIAL SUPPORT LIST 4 C. INCOME AND EXPENDITURE REPORT 4 D. POSTDOCTORAL PLACEMENT LIST 5 E. INSTITUTE DIRECTORS‘ MEETING REPORT 6 F. PARTICIPANT SUMMARY 12 G. POSTDOCTORAL PROGRAM SUMMARY 13 H. GRADUATE STUDENT PROGRAM SUMMARY 14 I. UNDERGRADUATE STUDENT PROGRAM SUMMARY 15 J. PROGRAM DESCRIPTION 15 K. PROGRAM CONSULTANT LIST 38 L. PUBLICATIONS LIST 50 M. INDUSTRIAL AND GOVERNMENTAL INVOLVEMENT 51 N. EXTERNAL SUPPORT 52 O. COMMITTEE MEMBERSHIP 53 P. CONTINUING IMPACT OF PAST IPAM PROGRAMS 54 APPENDIX 1: PUBLICATIONS (SELF-REPORTED) 2009-2010 58 Institute for Pure and Applied Mathematics, UCLA Award/Institution #0439872-013151000 Annual Progress Report for 2009-2010 August 1, 2011 EXECUTIVE SUMMARY Highlights of IPAM‘s accomplishments and activities of the fiscal year 2009-2010 include: IPAM held two long programs during 2009-2010: o Combinatorics (fall 2009) o Climate Modeling (spring 2010) IPAM‘s 2010 winter workshops continued the tradition of focusing on emerging topics where Mathematics plays an important role: o New Directions in Financial Mathematics o Metamaterials: Applications, Analysis and Modeling o Mathematical Problems, Models and Methods in Biomedical Imaging o Statistical and Learning-Theoretic Challenges in Data Privacy IPAM sponsored reunion conferences for four long programs: Optimal Transport, Random Shapes, Search Engines and Internet MRA IPAM sponsored three public lectures since August. Noga Alon presented ―The Combinatorics of Voting Paradoxes‖ on October 5, 2009. Pierre-Louis Lions presented ―On Mean Field Games‖ on January 5, 2010. -
Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
Notices of the American Mathematical Society
• ISSN 0002-9920 March 2003 Volume 50, Number 3 Disks That Are Double Spiral Staircases page 327 The RieITlann Hypothesis page 341 San Francisco Meeting page 423 Primitive curve painting (see page 356) Education is no longer just about classrooms and labs. With the growing diversity and complexity of educational programs, you need a software system that lets you efficiently deliver effective learning tools to literally, the world. Maple® now offers you a choice to address the reality of today's mathematics education. Maple® 8 - the standard Perfect for students in mathematics, sciences, and engineering. Maple® 8 offers all the power, flexibility, and resources your technical students need to manage even the most complex mathematical concepts. MapleNET™ -- online education ,.u A complete standards-based solution for authoring, nv3a~ _r.~ .::..,-;.-:.- delivering, and managing interactive learning modules \~.:...br *'r¥'''' S\l!t"AaITI(!\pU;; ,"", <If through browsers. Derived from the legendary Maple® .Att~~ .. <:t~~::,/, engine, MapleNefM is the only comprehensive solution "f'I!hlislJer~l!'Ct"\ :5 -~~~~~:--r---, for distance education in mathematics. Give your institution and your students cornpetitive edge. For a FREE 3D-day Maple® 8 Trial CD for Windows®, or to register for a FREE MapleNefM Online Seminar call 1/800 R67.6583 or e-mail [email protected]. ADVANCING MATHEMATICS WWW.MAPLESOFT.COM I [email protected]\I I WWW.MAPLEAPPS.COM I NORTH AMERICAN SALES 1/800 267. 6583 © 2003 Woter1oo Ma')Ir~ Inc Maple IS (J y<?glsterc() crademork of Woterloo Maple he Mar)leNet so troc1ema'k of Woter1oc' fV'lop'e Inr PII other trcde,nork$ (ye property o~ their respective ('wners Generic Polynomials Constructive Aspects of the Inverse Galois Problem Christian U.