Katherine E. Stange and Xin Zhang Compositio Mathematica, 155:6 (2019), 1118–1170
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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. -
Harvard University Department of Mathematics 2020 - 2021 Fall Directory
Harvard University Department of Mathematics 2020 - 2021 Fall Directory Tel: (617) 495-2171 Fax: (617) 495-5132 www.math.harvard.edu DEPARTMENT OF MATHEMATICS DIRECTORY - FALL 2020 ASL: Associate Senior Lecturer PD: Postdoctoral Fellow BP: Benjamin Peirce Fellow S: Staff E: Emeritus SL: Senior Lecturer F: Faculty SP: Senior Preceptor G: Graduate Student V: Visitor L: Lecturer VP: Visiting Professor P: Preceptor GROUP EMAIL ADDRESSES Affiliates Lecturers Emeriti Mainoffice Everyone (Everyone at CMSA) Preceptors Everyone (Everyone at Math Dept) Snr_Fac (Senior Faculty) Grad (Grad students) Staff Jnr_Fac (Junior Faculty) Visitors (PostDocs, Research Associates and Fellows) Department email addresses followed by: @math.harvard.edu; CMSA email addresses followed by: @cmsa.fas.harvard.edu NAME EMAIL OFFICE PHONE # ADHIKARI, Arka (G) adhikari 321b ALAEE, Aghil (V - CMSA) aghil.alaee ARMSTRONG, Maureen (S) maureen 332 5-1980 AUROUX, Denis (F) auroux 539 5-5487 BALIBANU, Ana (BP) anab 236 6-4492 BALL, Andrew (S) ball 242h 6-1986 BAMBERG, Paul (SL) bamberg 322 5-9560 BARKLEY, Grant (G) gbarkley 333e BEJLERI, Dori (BP) bejleri 525 5-2334 BEN-ELIEZER, Omri (PD - CMSA) omribene BETTS, Alex (PD) 226h 5-2124 BOGAEVSKY, Tatyana (S - CMSA) bogaevsky 20 Garden 105 6-1778 BONGERS, Tyler (L) bongers 209.3 5-1365 BORETSKY, Jonathan (G) jboretsky 321c DEPARTMENT OF MATHEMATICS DIRECTORY - FALL 2020 BRALEY, Emily (P) braley 225 6-9122 BRENNECKE, Christian (BP) brennecke 239 5-8797 BRENTANA, Pam (S) pbrentan 325 5-5334 CAIN, Wes (SL) jcain2 515 5-1790 CASS, -
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. -
Marshall Hall's Conjecture and Gaps Between Integer Points on Mordell
On Marshall Hall's Conjecture and Gaps Between Integer Points on Mordell Elliptic Curves Ryan D'Mello Benet Academy, Lisle, IL Mailing address: Benet Academy, 2200 Maple Avenue, Lisle, IL 60532, USA e-mail: [email protected] October 2, 2014 Abstract 3 For a non-square integer x 2 N, let kx denote the distance between x and the perfect 3 p square closest to x . A conjecture of Marshall Hall states that the ratios rx = x=kx, are bounded above. (Elkies has shown that any such bound must exceed 46.6.) Let fxng be the sequence of "Hall numbers": positive non-square integers for which rxn exceeds 1. Extensive computer searches have identified approximately 50 Hall numbers. (It can be proved that infinitely many exist.) In this paper we study the minimum gap between consecutive Hall 1 1 6 numbers. We prove that for all n, xn+1 − xn > 5 xn , with stronger gaps applying when 1 1 3 4 xn is close to perfect even or odd squares (≈ xn or ≈ xn , respectively). This result has obvious implications for the minimum "horizontal gap" (and hence straight line and arc distance) between integer points (whose x-coordinates exceed k2) on the Mordell elliptic curves x3 − y2 = k , a question that does not appear to have been addressed. 1 Introduction [Appendix A includes a detailed expository coverage of interesting and relevant history and background on Hall's conjecture, its relationship to other math questions/conjectures, topics, and techniques; and some key applications of these techniques.] 3 For a non-square integer x 2 N, let kx denote the distance between x and the perfect square 3 p closest to x . -
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. -
Seattle, Washington Washington State Convention Center and Sheraton Seattle January 6–9, 2016 Wednesday–Saturday
Meetings & Conferences Seattle, Washington Washington State Convention Center and Sheraton Seattle January 6–9, 2016 Wednesday–Saturday Meeting #1116 Joint Mathematics Meetings, including the 122nd Annual Meeting of the AMS, 99th Annual Meeting of the Math- ematical Association of America (MAA), annual meetings of the Association for Women in Mathematics (AWM) and the National Association of Mathematicians (NAM), and the winter meeting of the Association of Symbolic Logic (ASL), with sessions contributed by the Society for Industrial and Applied Mathematics (SIAM). AMS Associate Secretary: Michel Lapidus Announcement issue of Notices: October 2015 Program first available on AMS website: To be announced Deadlines For organizers: Expired For abstracts: September 22, 2015 The scientific information listed below may be dated. For the latest information, see www.ams.org/meetings/ national.html. Joint Invited Addresses Jennifer Chayes, Microsoft Research, Network Sci- ence: From the online world to cancer genomics; Saturday, 3:00 pm (MAA-AMS-SIAM Gerald and Judith Porter Public Lecture) 1116 NOTICES OF THE AMS VOLUME 62, NUMBER 9 Meetings & Conferences Kristin Lauter, Microsoft Research, Title to be an- sible via the abstract submission form found at nounced ; Friday, 11:10 am (AMS-MAA). jointmathematicsmeetings.org/meetings/ Xiao-Li Meng, Harvard University, Statistical paradises abstracts/abstract.pl?type=jmm. and paradoxes in big data; Friday, 11:10 am (AMS-MAA). Karen E Smith, University of Michigan, Title to be an- Some sessions are co-sponsored with other organiza- nounced. Thursday, 10:05 am (AWM-AMS Noether Lecture). tions. These are noted within the parentheses at the end of each listing, where applicable. -
Program Cincinnati Solving the Biggest Challenges in the Digital Universe
July 31-Aug 3, 2019 PROGRAM CINCINNATI SOLVING THE BIGGEST CHALLENGES IN THE DIGITAL UNIVERSE. At Akamai, we thrive on solving complex challenges for businesses, helping them digitally transform, outpace competitors, and achieve their goals. Cloud delivery and security. Video streaming. Secure application access. Our solutions make it easier for many of the world’s top brands to deliver the best, most secure digital experiences — in industries like entertainment, sports, gaming, nance, retail, software, and others. We helped broadcasters deliver high-quality live streaming during the 2018 Pyeongchang Games. We mitigated a record-breaking, memcached-fueled 1.3 Tbps DDoS attack. We’ve managed Black Friday web trafc for the biggest retailers on the planet. SECURE AND GROW YOUR BUSINESS. AKAMAI.COM WELCOME TO MAA MATHFEST! The MAA is pleased that you have joined us in Cincinnati for the math event of the summer. What are my favorite things to do at MAA MathFest? Attend the Invited Addresses! When I think back on prior MAA MathFest meetings, the Invited Addresses are the talks that I still remember and that have renewed my excitement for mathematics. This year will continue that tradition. We have excellent speakers presenting on a variety of exciting topics. If you see an Invited Address title that looks interesting, go to that talk. It will be worth it. Remember to attend the three 20-minute talks given by the MAA Adler Teaching Award winners on Friday afternoon. Jumpstart your passion for teaching and come hear these great educators share their TABLE OF CONTENTS insights on teaching, connecting with students, and the answer to “life, the universe and everything” (okay, maybe they won’t talk about 3 EARLE RAYMOND HEDRICK LECTURE SERIES the last item, but I am sure they will give inspiring and motivating presentations). -
Report for the Academic Year 1999
l'gEgasag^a3;•*a^oggMaBgaBK>ry^vg^.g^._--r^J3^JBgig^^gqt«a»J^:^^^^^ Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1998-99 PRINCETON • NEW JERSEY HISTORICAL STUDIES^SOCIAl SC^JCE LIBRARY INSTITUTE FOR ADVANCED STUDY PRINCETON, NEW JERSEY 08540 Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 998 - 99 OLDEN LANE PRINCETON • NEW JERSEY • 08540-0631 609-734-8000 609-924-8399 (Fax) http://www.ias.edu Extract from the letter addressed by the Institute's Founders, Louis Bamberger and Mrs. FeUx Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental m our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. ni' TABLE OF CONTENTS 4 • BACKGROUND AND PURPOSE 7 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 • ADMINISTRATION 12 • PRESENT AND PAST DIRECTORS AND FACULTY 15 REPORT OF THE CHAIRMAN 18 • REPORT OF THE DIRECTOR 22 • OFFICE OF THE DIRECTOR - RECORD OF EVENTS 27 ACKNOWLEDGMENTS 41 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES FACULTY ACADEMIC ACTIVITIES MEMBERS, VISITORS, -
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Arxiv:2105.10805V3 [Math.NT] 1 Jun 2021 ( ) > ~ an LE S
FROM THE BIRCH AND SWINNERTON-DYER CONJECTURE TO NAGAO'S CONJECTURE SEOYOUNG KIM AND M. RAM MURTY WITH AN APPENDIX BY ANDREW V. SUTHERLAND Abstract. Let E be an elliptic curve over Q with discriminant ∆E. For primes p of good reduction, let Np be the number of points modulo p and write Np = p+1−ap. In 1965, Birch and Swinnerton-Dyer formulated a conjecture which implies 1 ap log p 1 lim Q = −r + ; x→∞ log x p≤x p 2 p∤∆E where r is the order of the zero of the L-function LE(s) of E at s = 1, which is predicted to be the Mordell-Weil rank of E(Q). We show that if the above limit exits, then the limit equals −r + 1~2. We also relate this to Nagao's conjecture. 1. Introduction Let E be an elliptic curve over Q with discriminant ∆E and conductor NE. For each prime p ∆E, we write the number of points of E mod p as N #E p 1 a ; (1.1) ∤ p Fp( ) p where a satisfies Hasse's inequality a 2 p. For p ∆ , we define a 0; 1; or 1 ac- p ∶= p ( ) = + − E p cording as E has additive reduction, split multiplicative√ reduction, or non-split multiplicative reduction at p (For precise definitionsS ofS this≤ terminology,S we refer the reader= to [14− , p. 449]). The L-function attached to E, denoted as LE s is then defined as an Euler product using this datum: a 1 a p 1 L s 1 p ( ) 1 p ; (1.2) E ps − ps p2s − p ∆E p ∆E which converges absolutely( for) = ReMS s −3 2 by∤M virtue − of Hasse's+ inequality. -
Mathematics People
NEWS Mathematics People “In 1972, Rainer Weiss wrote down in an MIT report his Weiss, Barish, and ideas for building a laser interferometer that could detect Thorne Awarded gravitational waves. He had thought this through carefully and described in detail the physics and design of such an Nobel Prize in Physics instrument. This is typically called the ‘birth of LIGO.’ Rai Weiss’s vision, his incredible insights into the science and The Royal Swedish Academy of Sci- challenges of building such an instrument were absolutely ences has awarded the 2017 Nobel crucial to make out of his original idea the successful Prize in Physics to Rainer Weiss, experiment that LIGO has become. Barry C. Barish, and Kip S. Thorne, “Kip Thorne has done a wealth of theoretical work in all of the LIGO/Virgo Collaboration, general relativity and astrophysics, in particular connected for their “decisive contributions to with gravitational waves. In 1975, a meeting between the LIGO detector and the observa- Rainer Weiss and Kip Thorne from Caltech marked the tion of gravitational waves.” Weiss beginning of the complicated endeavors to build a gravi- receives one-half of the prize; Barish tational wave detector. Rai Weiss’s incredible insights into and Thorne share one-half. the science and challenges of building such an instrument Rainer Weiss combined with Kip Thorne’s theoretical expertise with According to the prize citation, gravitational waves, as well as his broad connectedness “LIGO, the Laser Interferometer with several areas of physics and funding agencies, set Gravitational-Wave Observatory, is the path toward a larger collaboration. -
Association for Women in Mathematics
Association for Women in Mathematics AWM Research Symposium 2015 April 11-12, 2015 at University of Maryland, College Park College Park, MD Organizers Ruth Charney (Brandeis University) Shelly Harvey (Rice University) Kristin Lauter (Microsoft Research) Gail Letzter (National Security Agency) Magnhild Lien (California State University, Northridge) Konstantina Trivisa (University of Maryland) Talitha Washington (Howard University) 2015 AWM Research Symposium Sponsors 2015 AWM Research Symposium Exhibitors April 11, 2015 Dear Colleagues, It is our great pleasure to welcome you to AWM Research Symposium 2015 on the campus of the University of Maryland, College Park. This research conference highlights the accomplishments of women in mathematics and showcases the research of female mathematicians at all stages of their careers. We are grateful to the University of Maryland for hosting this symposium and to our sponsors and exhibitors Microsoft Research, NSF, NSA, NIST, Springer, Elsevier, Google, Wolfram and INTECH for their generous support. In 2011, the Association for Women in Mathematics celebrated its fortieth anniversary with a research conference, “40 Years and Counting, AWM’s Celebration of Women in Mathematics.” Participation at the anniversary conference greatly exceeded all expectations and motivated AWM to launch a series of biennial research symposia. The second AWM Symposium was held at Santa Clara University in 2013, and this symposium is the third event in the series. These symposia are designed to help support and nurture networks of female researchers in many areas of mathematics, to provide networking opportunities for junior and senior women to enhance career prospects and recognition. AWM was founded in 1971 during a period when relatively few women in the U.S. -
2021 September-October Newsletter
Newsletter VOLUME 51, NO. 5 • SEPTEMBER–OCTOBER 2021 PRESIDENT’S REPORT This is a fun report to write, where I can share news of AWM’s recent award recognitions. Sometimes hearing about the accomplishments of others can make The purpose of the Association for Women in Mathematics is us feel like we are not good enough. I hope that we can instead feel inspired by the work these people have produced and energized to continue the good work we • to encourage women and girls to ourselves are doing. study and to have active careers in the mathematical sciences, and We’ve honored exemplary Student Chapters. Virginia Tech received the • to promote equal opportunity and award for Scientific Achievement for offering three different research-focused the equal treatment of women and programs during a pandemic year. UC San Diego received the award for Professional girls in the mathematical sciences. Development for offering multiple events related to recruitment and success in the mathematical sciences. Kutztown University received the award for Com- munity Engagement for a series of events making math accessible to a broad community. Finally, Rutgers University received the Fundraising award for their creative fundraising ideas. Congratulations to all your members! AWM is grateful for your work to support our mission. The AWM Research Awards honor excellence in specific research areas. Yaiza Canzani was selected for the AWM-Sadosky Research Prize in Analysis for her work in spectral geometry. Jennifer Balakrishnan was selected for the AWM- Microsoft Research Prize in Algebra and Number Theory for her work in computa- tional number theory.