Mathematics Calendar
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Looking at Earth: an Astronaut's Journey Induction Ceremony 2017
american academy of arts & sciences winter 2018 www.amacad.org Bulletin vol. lxxi, no. 2 Induction Ceremony 2017 Class Speakers: Jane Mayer, Ursula Burns, James P. Allison, Heather K. Gerken, and Gerald Chan Annual David M. Rubenstein Lecture Looking at Earth: An Astronaut’s Journey David M. Rubenstein and Kathryn D. Sullivan ALSO: How Are Humans Different from Other Great Apes?–Ajit Varki, Pascal Gagneux, and Fred H. Gage Advancing Higher Education in America–Monica Lozano, Robert J. Birgeneau, Bob Jacobsen, and Michael S. McPherson Redistricting and Representation–Patti B. Saris, Gary King, Jamal Greene, and Moon Duchin noteworthy Select Prizes and Andrea Bertozzi (University of James R. Downing (St. Jude Chil- Barbara Grosz (Harvard Univer- California, Los Angeles) was se- dren’s Research Hospital) was sity) is the recipient of the Life- Awards to Members lected as a 2017 Simons Investi- awarded the 2017 E. Donnall time Achievement Award of the gator by the Simons Foundation. Thomas Lecture and Prize by the Association for Computational American Society of Hematology. Linguistics. Nobel Prize in Chemistry, Clara D. Bloomfield (Ohio State 2017 University) is the recipient of the Carol Dweck (Stanford Univer- Christopher Hacon (University 2017 Robert A. Kyle Award for sity) was awarded the inaugural of Utah) was awarded the Break- Joachim Frank (Columbia Univer- Outstanding Clinician-Scientist, Yidan Prize. through Prize in Mathematics. sity) presented by the Mayo Clinic Di- vision of Hematology. Felton Earls (Harvard Univer- Naomi Halas (Rice University) sity) is the recipient of the 2018 was awarded the 2018 Julius Ed- Nobel Prize in Economic Emmanuel J. -
Mechanical Aspire
Newsletter Volume 6, Issue 11, November 2016 Mechanical Aspire Achievements in Sports, Projects, Industry, Research and Education All About Nobel Prize- Part 35 The Breakthrough Prize Inspired by Nobel Prize, there have been many other prizes similar to that, both in amount and in purpose. One such prize is the Breakthrough Prize. The Breakthrough Prize is backed by Facebook chief executive Mark Zuckerberg and Google co-founder Sergey Brin, among others. The Breakthrough Prize was founded by Brin and Anne Wojcicki, who runs genetic testing firm 23andMe, Chinese businessman Jack Ma, and Russian entrepreneur Yuri Milner and his wife Julia. The Breakthrough Prizes honor important, primarily recent, achievements in the categories of Fundamental Physics, Life Sciences and Mathematics . The prizes were founded in 2012 by Sergey Brin and Anne Wojcicki, Mark Zuckerberg and Priscilla Chan, Yuri and Julia Milner, and Jack Ma and Cathy Zhang. Committees of previous laureates choose the winners from candidates nominated in a process that’s online and open to the public. Laureates receive $3 million each in prize money. They attend a televised award ceremony designed to celebrate their achievements and inspire the next generation of scientists. As part of the ceremony schedule, they also engage in a program of lectures and discussions. Those that go on to make fresh discoveries remain eligible for future Breakthrough Prizes. The Trophy The Breakthrough Prize trophy was created by Olafur Eliasson. “The whole idea for me started out with, ‘Where do these great ideas come from? What type of intuition started the trajectory that eventually becomes what we celebrate today?’” Like much of Eliasson's work, the sculpture explores the common ground between art and science. -
3-Manifold Groups
3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting. abstract submission form found at http://www.ams.org/ Knoxville, Tennessee cgi-bin/abstracts/abstract.pl. University of Tennessee, Knoxville Algebraic Methods in Graph Theory and Combinator- ics (Code: SS 7A), Felix Lazebnik, University of Delaware, March 21–23, 2014 Andrew Woldar, Villanova University, and Bangteng Xu, Friday – Sunday Eastern Kentucky University. Arithmetic of Algebraic Curves (Code: SS 9A), Lubjana Meeting #1097 Beshaj, Oakland University, Caleb Shor, Western New Eng- Southeastern Section land University, and Andreas Malmendier, Colby College. Associate secretary: Brian D. Boe Commutative Ring Theory (in honor of the retirement Announcement issue of Notices: January 2014 of David E. Dobbs) (Code: SS 1A), David Anderson, Uni- Program first available on AMS website: February 6, 2014 versity of Tennessee, Knoxville, and Jay Shapiro, George Program issue of electronic Notices: March 2014 Mason University. Issue of Abstracts: Volume 35, Issue 2 Completely Integrable Systems and Dispersive Nonlinear Deadlines Equations (Code: SS 12A), Robert Buckingham, University of Cincinnati, and Peter Perry, University of Kentucky. For organizers: Expired Complex Analysis, Probability, and Metric Geometry For abstracts: January 28, 2014 (Code: SS 11A), Matthew Badger, Stony Brook University, Jim Gill, St. -
January 2013 Prizes and Awards
January 2013 Prizes and Awards 4:25 P.M., Thursday, January 10, 2013 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS Eric Friedlander, President LEVI L. CONANT PRIZE: JOHN BAEZ, JOHN HUERTA American Mathematical Society E. H. MOORE RESEARCH ARTICLE PRIZE: MICHAEL LARSEN, RICHARD PINK DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY DAVID P. ROBBINS PRIZE: ALEXANDER RAZBOROV TEACHING OF MATHEMATICS RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: MARYAM MIRZAKHANI Mathematical Association of America LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT: YAKOV SINAI EULER BOOK PRIZE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION: JOHN GUCKENHEIMER, PHILIP HOLMES Mathematical Association of America LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: SAHARON SHELAH LEVI L. CONANT PRIZE OSWALD VEBLEN PRIZE IN GEOMETRY: IAN AGOL, DANIEL WISE American Mathematical Society DAVID P. ROBBINS PRIZE FOR AMS-SIAM American Mathematical Society NORBERT WIENER PRIZE IN APPLIED MATHEMATICS: ANDREW J. MAJDA OSWALD VEBLEN PRIZE IN GEOMETRY FOR AMS-MAA-SIAM American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY ALICE T. SCHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN AN UNDERGRADUATE STUDENT: FAN WEI Association for Women in Mathematics FOR AWM LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: AMY COHEN Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE -
ANNEXURE 1 School of Mathematics Sciences —A Profile As in March 2010
University Yearbook (Academic Audit Report 2005-10) ANNEXURE 1 School of Mathematics Sciences —A Profile as in March 2010 Contents 1. Introduction 1 1.1. Science Education: A synthesis of two paradigms 2 2. Faculty 3 2.1. Mathematics 4 2.2. Physics 12 2.3. Computer Science 18 3. International Links 18 3.1. Collaborations Set Up 18 3.2. Visits by our faculty abroad for research purposes 19 3.3. Visits by faculty abroad to Belur for research purposes 19 4. Service at the National Level 20 4.1. Links at the level of faculty 20 5. Student Placement 21 5.1. 2006-8 MSc Mathematics Batch 21 5.2. 2008-10 MSc Mathematics Batch 22 6. Research 23 1. Introduction Swami Vivekananda envisioned a University at Belur Math, West Bengal, the headquarters of the Ramakrishna Mission. In his conversation with Jamshedji Tata, it was indicated that the spirit of austerity, service and renun- ciation, traditionally associated with monasticism could be united with the quest for Truth and Universality that Science embodies. An inevitable fruit of such a synthesis would be a vigorous pursuit of science as an aspect of Karma Yoga. Truth would be sought by research and the knowledge obtained disseminated through teach- ing, making knowledge universally available. The VivekanandaSchool of Mathematical Sciences at the fledgling Ramakrishna Mission Vivekananda University, headquartered at Belur, has been set up keeping these twin ide- als in mind. We shall first indicate that at the National level, a realization of these objectives would fulfill a deeply felt National need. 1.1. -
Preface Issue 4-2014
Jahresber Dtsch Math-Ver (2014) 116:199–200 DOI 10.1365/s13291-014-0108-4 PREFACE Preface Issue 4-2014 Hans-Christoph Grunau © Deutsche Mathematiker-Vereinigung and Springer-Verlag Berlin Heidelberg 2014 The last few years have been a good time for solving long standing geometrical- topological conjectures. This issue reports on the solution of the Willmore conject-√ ure—the “best” topological torus is a “real” torus with ratio of radii equal to 2— and one of Thurston’s conjectures—every hyperbolic 3-manifold can be fibered over a circle, up to passing to a finite cover. Starting in the 1960s, Thomas Willmore studied the integral of the squared mean curvature of surfaces in R3 as the simplest but most interesting frame invariant elas- tic bending energy. This energy had shown up already in the early 19th century—too early for a rigorous investigation. Willmore asked: What is the shape of a compact surface of fixed genus minimising the Willmore energy in this class? (In the 1990s, existence of minimisers was proved by Leon Simon, with a contribution by Matthias Bauer and Ernst Kuwert.) Willmore already knew that the genus-0-minimiser is a sphere. Assuming that symmetric surfaces require less energy than asymmetric ones (which has not been proved, yet) he studied families√ of geometric tori with the smaller radius 1 fixed and found that the larger radius 2 would yield the minimum in this very special family. He conjectured that this particular torus would be the genus- 1-minimiser. Almost 50 years later Fernando Marques and André Neves found and published a 100-page-proof. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL . Jill Pipher, Brown University, Harmonic analysis and New Brunswick, New elliptic boundary value problems. David Vogan, Department of Mathematics, MIT, Matri- Jersey ces almost of order two. Wei Zhang, Columbia University, The Euler product and Rutgers University the Taylor expansion of an L-function. November 14–15, 2015 Special Sessions Saturday – Sunday If you are volunteering to speak in a Special Session, you Meeting #1115 should send your abstract as early as possible via the ab- Eastern Section stract submission form found at www.ams.org/cgi-bin/ Associate secretary: Steven H. Weintraub abstracts/abstract.pl. Announcement issue of Notices: September 2015 Advances in Valuation Theory, Samar El Hitti, New York Program first available on AMS website: October 1, 2015 City College of Technology, City University of New York, Issue of Abstracts: Volume 36, Issue 4 Franz-Viktor Kuhlmann, University of Saskatchewan, and Deadlines Hans Schoutens, New York City College of Technology, For organizers: Expired City University of New York. For abstracts: Expired Algebraic Geometry and Combinatorics, Elizabeth Drel- lich, University of North Texas, Erik Insko, Florida Gulf The scientific information listed below may be dated. Coast University, Aba Mbirika, University of Wisconsin- For the latest information, see www.ams.org/amsmtgs/ Eau Claire, and Heather Russell, Washington College. -
Letter from the Chair Celebrating the Lives of John and Alicia Nash
Spring 2016 Issue 5 Department of Mathematics Princeton University Letter From the Chair Celebrating the Lives of John and Alicia Nash We cannot look back on the past Returning from one of the crowning year without first commenting on achievements of a long and storied the tragic loss of John and Alicia career, John Forbes Nash, Jr. and Nash, who died in a car accident on his wife Alicia were killed in a car their way home from the airport last accident on May 23, 2015, shock- May. They were returning from ing the department, the University, Norway, where John Nash was and making headlines around the awarded the 2015 Abel Prize from world. the Norwegian Academy of Sci- ence and Letters. As a 1994 Nobel Nash came to Princeton as a gradu- Prize winner and a senior research ate student in 1948. His Ph.D. thesis, mathematician in our department “Non-cooperative games” (Annals for many years, Nash maintained a of Mathematics, Vol 54, No. 2, 286- steady presence in Fine Hall, and he 95) became a seminal work in the and Alicia are greatly missed. Their then-fledgling field of game theory, life and work was celebrated during and laid the path for his 1994 Nobel a special event in October. Memorial Prize in Economics. After finishing his Ph.D. in 1950, Nash This has been a very busy and pro- held positions at the Massachusetts ductive year for our department, and Institute of Technology and the In- we have happily hosted conferences stitute for Advanced Study, where 1950s Nash began to suffer from and workshops that have attracted the breadth of his work increased. -
Interview with Ian Agol
THE GRADUATE STUDENT SECTION Interview with Ian Agol progressed, I have delved into deeper subjects in math- ematics, including Riemannian geometry and geometric group theory, in order to solve questions in 3-manifold topology. Most of the revolutions in the subject have come from other fields (dynamics, partial differential equations, mathematical physics, algebraic geometry, symplectic geometry, number theory), which is exciting because it requires one to continuously learn new mathematics, giv- ing one new perspectives on the topic. Diaz-Lopez. What theorem are you most proud of and what was the most important idea that led to this breakthrough? Agol. A few years ago, work I did resolved the virtual Haken conjecture. This work relied on expertise of my collaborators Daniel Groves and Jason Manning, as well as on the much deeper work of Dani Wise and his collabora- tors (especially Haglund, Hsu, and Sageev) and the work of Kahn and Markovic. One remarkable thing about this Photo courtesy of Ian Agol. topic is the way that it married quite disparate techniques Editor’s Note: Since this interview, Agol has won the and relied on results from dynamics and deep ideas in three million dollar Breakthrough Prize in Mathematics. geometric group theory initiated by Gromov. Anyway, even though the question was regarding a problem in 3-mani- Ian Agol, Professor of Mathematics at the University fold topology, the method of resolution (whose strategy of California, Berkeley, proved the virtual Haken was formulated by Wise) went into a broader category of Conjecture in 2012. This interview was conducted by word-hyperbolic groups and email by Alexander Diaz-Lopez. -
Fellows of Math
MATHEMATICS NEWSLETTER Contents Letter from the Chair 2 New Faculty & KAPs 2-3 AMS Society Fellows 4-5 A Career in Math: Schwarz 8 Focus: Temple on Shock Waves 7 Focus: Walcott on Myocin 9 Fellows of Math Undergraduate News 6 Graduate News 10-11 AMS Recognizing Achievement Emeriti Spotlight: Sallee 6, 15 Department Awards 12-14 Life After Davis 10-11, 14 Staff News 15 Letter from the Chair by Joel Hass Good news continues for the UC Davis Department of Mathematics. Our faculty extended its record of extraordinary pro- ductivity, bringing in numerous research grants and awards. The growing reputa- tion of the campus and the Department has led to increasing enrollments, at both the graduate and undergraduate levels. We welcome an outstanding new faculty mem- ber this year, Kevin Luli, who joins us from Yale University. The Department starts the new aca- demic year with 516 majors, up over 100 from last year. Our challenge will be to continue providing high quality classes, in- spired advising, career guidance, research opportunities, and a welcoming environ- ment. We have created a new meeting Picnic Day outside the Math Sciences Building room for our undergraduate majors, which sees constant activity during the week. We are also sponsoring an active Math Club that hosts New well attended weekly meetings. Large numbers of undergraduates are participating in research projects with a variety of faculty. I want to mention the long overdue recognition given Krener Asst. Professor to Prof. Jesús de Loera this year. His tireless work supporting the undergraduate research programs of the Department over many years were recognized with the 2013 Chancellor’s Anastasiia Award for Excellence in Mentoring Undergraduate Research. -
Geometric Relativity
GRADUATE STUDIES IN MATHEMATICS 201 Geometric Relativity Dan A. Lee 10.1090/gsm/201 Geometric Relativity GRADUATE STUDIES IN MATHEMATICS 201 Geometric Relativity Dan A. Lee EDITORIAL COMMITTEE Daniel S. Freed (Chair) Bjorn Poonen Gigliola Staffilani Jeff A. Viaclovsky 2010 Mathematics Subject Classification. Primary 53-01, 53C20, 53C21, 53C24, 53C27, 53C44, 53C50, 53C80, 83C05, 83C57. For additional information and updates on this book, visit www.ams.org/bookpages/gsm-201 Library of Congress Cataloging-in-Publication Data Names: Lee, Dan A., 1978- author. Title: Geometric relativity / Dan A. Lee. Description: Providence, Rhode Island : American Mathematical Society, [2019] | Series: Gradu- ate studies in mathematics ; volume 201 | Includes bibliographical references and index. Identifiers: LCCN 2019019111 | ISBN 9781470450816 (alk. paper) Subjects: LCSH: General relativity (Physics)–Mathematics. | Geometry, Riemannian. | Differ- ential equations, Partial. | AMS: Differential geometry – Instructional exposition (textbooks, tutorial papers, etc.). msc | Differential geometry – Global differential geometry – Global Riemannian geometry, including pinching. msc | Differential geometry – Global differential geometry – Methods of Riemannian geometry, including PDE methods; curvature restrictions. msc | Differential geometry – Global differential geometry – Rigidity results. msc — Differential geometry – Global differential geometry – Spin and Spin. msc | Differential geometry – Global differential geometry – Geometric evolution equations (mean curvature flow,