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Greg Kuperberg B [email protected] Curriculum Vitae Í
Greg Kuperberg B [email protected] Curriculum Vitae Í http://www.math.ucdavis.edu/∼greg/ Personal Born July 4, 1967 in Gdansk,´ Poland. Citizenship United States of America, Naturalized November 1979. Education 1987-1991 Ph.D., University of California, Berkeley, Mathematics. Advisor: Andrew Casson 1983-1987 A.B., Harvard University, Mathematics. Magna Cum Laude with Highest Honors 1982-1983 Oklahoma State University, courses in mathematics. 1979-1982 Auburn University, courses in mathematics. Support 2017-2020 National Science Foundation Award, CCF #1716990, $471,946. 2013-2018 National Science Foundation Award, CCF #1319245, $427,130. 2010-2014 National Science Foundation Award, CCF #1013079, $275,550. 2006-2010 National Science Foundation Award, DMS #0606795, $144,742. 2003-2006 National Science Foundation Award, DMS #0306681, $100,000. 2000-2003 National Science Foundation Award, DMS #0072342, $71,100. 1997-1999 National Science Foundation Award, DMS #9704125, $65,025. 1995-1996 National Science Foundation Award, DMS #9423300, $10,000 (in joint grant). Honors 2012 Fellow of the American Mathematical Society. 1998 Sloan Foundation Research Fellowship. 1991-1994 NSF Postdoctoral Fellowship in Mathematics. 1990 Sloan Foundation Graduate Fellowship in Mathematics. 1990 Morrey Prize, UC Berkeley Department of mathematics. 1987 NSF Graduate Fellowship in Mathematics. 1987 Putnam Mathematics Competition, 9th place. 1986 Putnam Mathematics Competition, 8th place. Employment Apr-May 2019 Visiting Researcher, University of Geneva. Jan-Mar 2017 Visiting Researcher, Pierre and Marie Curie University, Paris. 2016–present Professor of Mathematics and Computer Science, University of California, Davis. 2001–2016 Professor of Mathematics, University of California, Davis. 2010-2011 Visiting Researcher, University of Grenoble. 2004-2005 Visiting Professor, Cornell University. -
Notices of the American Mathematical
ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Mathematics Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and professors, these texts make ideal independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch NEW Graduate Studies Graduate Studies in Mathematics in Mathematics Volume 109 Manifolds and Differential Geometry Volume 112 ocietty American Mathematical Society Jeffrey M. Lee, Texas Tech University, Lubbock, American Mathematical Society TX Volume 107; 2009; 671 pages; Hardcover; ISBN: 978-0-8218- 4815-9; List US$89; AMS members US$71; Order code GSM/107 Differential Algebraic Topology From Stratifolds to Exotic Spheres Mapping Degree Theory Matthias Kreck, Hausdorff Research Institute for Enrique Outerelo and Jesús M. Ruiz, Mathematics, Bonn, Germany Universidad Complutense de Madrid, Spain Volume 110; 2010; approximately 215 pages; Hardcover; A co-publication of the AMS and Real Sociedad Matemática ISBN: 978-0-8218-4898-2; List US$55; AMS members US$44; Española (RSME). Order code GSM/110 Volume 108; 2009; 244 pages; Hardcover; ISBN: 978-0-8218- 4915-6; List US$62; AMS members US$50; Ricci Flow and the Sphere Theorem The Art of Order code GSM/108 Simon Brendle, Stanford University, CA Mathematics Volume 111; 2010; 176 pages; Hardcover; ISBN: 978-0-8218- page 8 Training Manual on Transport 4938-5; List US$47; AMS members US$38; and Fluids Order code GSM/111 John C. -
Annual Report 1998–99
Department of Mathematics Cornell University Annual Report 1998Ð99 The image on the cover is taken from a catalogue of several hundred “symmetric tensegrities” developed by Professor Robert Connelly and Allen Back, director of our Instructional Computer Lab. (The whole catalogue can be viewed at http://mathlab.cit.cornell.edu/visualization/tenseg/tenseg.html.) The 12 balls represent points in space placed at the midpoints of the edges of a cube. The thin dark edges represent “cables,” each connecting a pair of vertices. If two vertices are connected by a cable, then they are not permitted to get further apart. The thick lighter shaded diagonals represent “struts.” If two vertices are connected by a strut, then they are not permitted to get closer together. The examples in the catalogue — including the one represented on the cover — are constructed so that they are “super stable.” This implies that any pair of congurations of the vertices satisfying the cable and strut constraints are congruent. So if one builds this structure with sticks for the struts and string for the cables, then it will be rigid and hold its shape. The congurations in the catalogue are constructed so that they are “highly” symmetric. By this we mean that there is a congruence of space that permutes all the vertices, and any vertex can be superimposed onto any other by one of those congruences. In the case of the image at hand, all the congruences can be taken to be rotations. Department of Mathematics Annual Report 1998Ð99 Year in Review: Mathematics Instruction and Research Cornell University Þrst among private institutions in undergraduates who later earn Ph.D.s. -
Annual Report 2020
Annual Report 2020 [Our new home at Cornell Tech in New York City] arXiv is organized exclusively for educational and scientific purposes. It is part of Cornell University and reports organizationally to the Dean of Cornell Tech, who acts as arXiv’s steward. About arXiv Mission arXiv is an open platform where researchers can share and discover new, relevant, emerging science and establish their contribution to advancing research. Vision Our vision is for all researchers around the world to have immediate, free, and open access to established and arXiv is a curated research-sharing platform open emerging research in their field. to anyone. As a pioneer in digital open access, Values arXiv is open, above all. The foundation of arXiv is arXiv.org now hosts more than 1.8 million scholarly based on open access, transparency, open mindedness, collaboration, and flexibility. articles in eight subject areas, curated by our arXiv is a community. Our institutional members, strong community of volunteer moderators who collaborators, moderators, authors, and readers are not passive recipients—they are arXiv. balance content quality and distribution speed. arXiv is passionate about science—and science is for everyone. arXiv offers solutions for a broad range of services: We do more with less, for the purpose of serving article submission, compilation, production, researchers and research. We look out for each other. To meet the challenges of retrieval, search and discovery, web distribution for the future, we are collectively passionate about our work. human readers, and API distribution for machines, We value excellence within ourselves and our collaborators. together with content curation and preservation. -
LETTERS to the EDITOR Responses to ”A Word From… Abigail Thompson”
LETTERS TO THE EDITOR Responses to ”A Word from… Abigail Thompson” Thank you to all those who have written letters to the editor about “A Word from… Abigail Thompson” in the Decem- ber 2019 Notices. I appreciate your sharing your thoughts on this important topic with the community. This section contains letters received through December 31, 2019, posted in the order in which they were received. We are no longer updating this page with letters in response to “A Word from… Abigail Thompson.” —Erica Flapan, Editor in Chief Re: Letter by Abigail Thompson Sincerely, Dear Editor, Blake Winter I am writing regarding the article in Vol. 66, No. 11, of Assistant Professor of Mathematics, Medaille College the Notices of the AMS, written by Abigail Thompson. As a mathematics professor, I am very concerned about en- (Received November 20, 2019) suring that the intellectual community of mathematicians Letter to the Editor is focused on rigor and rational thought. I believe that discrimination is antithetical to this ideal: to paraphrase I am writing in support of Abigail Thompson’s opinion the Greek geometer, there is no royal road to mathematics, piece (AMS Notices, 66(2019), 1778–1779). We should all because before matters of pure reason, we are all on an be grateful to her for such a thoughtful argument against equal footing. In my own pursuit of this goal, I work to mandatory “Diversity Statements” for job applicants. As mentor mathematics students from diverse and disadvan- she so eloquently stated, “The idea of using a political test taged backgrounds, including volunteering to help tutor as a screen for job applicants should send a shiver down students at other institutions. -
Final Program and Abstracts
Final Program and Abstracts Sponsored by the SIAM Activity Group on Algebraic Geometry The purpose of the SIAM Activity Group in Algebraic Geometry is to bring together researchers who use algebraic geometry in industrial and applied mathematics. “Algebraic geometry” is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. These methods have already seen applications in: biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, and statistics. We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications. Society for Industrial and Applied Mathematics 3600 Market Street, 6th Floor Philadelphia, PA 19104-2688 USA Telephone: +1-215-382-9800 Fax: +1-215-386-7999 Conference E-mail: [email protected] Conference Web: www.siam.org/meetings/ Membership and Customer Service: (800) 447-7426 (US & Canada) or +1-215-382-9800 (worldwide) www.siam.org/meetings/ag13 2 2013 SIAM Conference on Applied Algebraic Geometry Table of Contents SIAM Registration Desk Corporate Members The SIAM registration desk is located in and Affiliates General Information .............................. 2 the Andrew G. Clark Building – Clark SIAM corporate members provide Get-togethers ......................................... 4 A wing. It is open during the following their employees with knowledge about, Invited Plenary Presentations ................ 6 hours: access to, and contacts in the applied mathematics and computational sciences Program Schedule ................................. 9 Thursday, August 1 7:00 AM – 5:00 PM community through their membership Poster Session .................................... -
View This Volume's Front and Back Matter
CONTEMPORARY MATHEMATICS 541 Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory Workshop June 3–13, 2009 Conference June 15–19, 2009 Columbia University, New York, NY Abhijit Champanerkar, Oliver Dasbach, Efstratia Kalfagianni, Ilya Kofman, Walter Neumann, Neal Stoltzfus Editors American Mathematical Society http://dx.doi.org/10.1090/conm/541 Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory CONTEMPORARY MATHEMATICS 541 Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory Workshop June 3–13, 2009 Conference June 15–19, 2009 Columbia University, New York, NY Abhijit Champanerkar, Oliver Dasbach, Efstratia Kalfagianni, Ilya Kofman, Walter Neumann, Neal Stoltzfus Editors American Mathematical Society Providence, Rhode Island Editorial Board Dennis DeTurck, managing editor George Andrews Abel Klein Martin J. Strauss 2000 Mathematics Subject Classification. Primary 57Mxx, 32Qxx, 60Gxx, 16Txx, 17Bxx, 81Rxx, 81Txx, 11Sxx, 14Txx. Library of Congress Cataloging-in-Publication Data Workshop on Interactions between Hyperbolic Geometry, Quantum Topology, and Number Theory (2009 : Columbia University) Interactions between hyperbolic geometry, quantum topology, and number theory : Workshop on Interactions between Hyperbolic Geometry, Quantum Topology, and Number Theory, June 3– 13, 2009, Columbia University, New York, New York / Abhijit Champanerkar ...[et al.], editors. p. cm. Includes bibliographical references. ISBN 978-0-8218-4960-6 (alk. paper) 1. Low-dimensional topology—Congresses. 2. Manifolds (Mathematics)—Congresses. 3. Quantum field theory—Congresses. 4. Number theory—Congresses. I. Champanerkar, Abhijit, 1975– II. Title. QA612.14.W67 2009 514.22—dc22 2010049884 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. -
36 AG11 Abstracts
36 AG11 Abstracts IP1 IP5 Algebraic Statistics for Social Network Models: Advances in Elliptic-Curve Cryptography Recent Results and Challenges The first part of this talk presents results on attacking In collaboration with Petrovic and Rinaldo, I have devel- elliptic-curve cryptography, in particular an ongoing effort oped algebraic statistical tools for the study of some dyadic to break the Certicom challenge ECC2K-130 and a detailed random graph models, including Markov bases, that have study on the correct use of the negation map in the Pollard- important implications for the existence of maximum like- rho method. The second part presents a signature scheme lihood estimation and other statistical problems. These which on a 390 USD mass-market quad-core 2.4GHz Intel tools do not extend in a simple fashion to more complex Westmere (Xeon E5620) CPU can create 108000 signatures models in the class of exponential random graph models. In per second and verify 71000 signatures per second on an this presentation, I explain why there are difficulties as we elliptic curve at a 2128 security level. Public keys are 32 move away from dyadic models and I describe some of the bytes, and signatures are 64 bytes. These performance fig- challenges for algebraic statistics in this area of research. ures include strong defenses against software side-channel attacks: there is no data flow from secret keys to array in- Stephen Fienberg dices, and there is no data flow from secret keys to branch Carnegie Mellon University conditions. fi[email protected] Tanja Lange Technische Universiteit Eindhoven IP2 Eindhoven Institute for the Protection of Systems and Complexity of the Separation of Variables and Re- Inform lated Observations [email protected] Abstract not available at time of publication. -
66 AG17 Abstracts
66 AG17 Abstracts IP1 of more tools from algebraic geometry. In particular, the Uses of Algebraic Geometry and Representation building blocks of the constructions could include pieces Theory in Complexity Theory of real, affine algebraic curves, surfaces, and threefolds, or higher degree splines, or toric varieties. In this talk, I will I will discuss two central problems in complexity theory discuss various examples, drawing on results from the EU and how they can be approached geometrically. In 1968, networks GAIA and SAGA. Strassen discovered that the usual algorithm for multiply- ing matrices is not the optimal one, which motivated a vast Ragni Piene body of research to determine just how efficiently nxn ma- Department of Mathematics trices can be multiplied. The standard algorithm uses on University of Oslo the order of n3 arithmetic operations, but thanks to this re- [email protected] search, it is conjectured that asymptotically, it is nearly as easy to multiply matrices as it is to add them, that is that one can multiply matrices using close to n2 multiplications. IP4 In 1978 L. Valiant proposed an algebraic version of the fa- Polynomial Dynamical Systems, Toric Differential mous P v. NP problem. This was modified by Mulmuley Inclusions, and the Global Attractor Conjecture and Sohoni to a problem in algebraic geometry: Geomet- ric Complexity Theory (GCT), which rephrases Valiant’s Polynomial dynamical systems (i.e., systems of differen- question in terms of inclusions of orbit closures. I will tial equations with polynomial right-hand sides) appear discuss matrix multiplication, GCT, and the geometry in- in many important problems in mathematics and applica- volved, including: secant varieties, dual varieties, minimal tions. -
Notices of the American Mathematical Society
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society September 2018 Volume 65, Number 8 Hispanic Heritage Month September 15–October 15, 2018 The Geometry of Matroids page 902 Movie Animation: A Continuum Approach for Frictional Contact page 909 September Sectional Sampler: Braids, Surfaces, and Homological Invariants page 914 2018 AMS Election page 917 AMS/MAA Grad School Fair . Meeting and Recruiting Students for Your Graduate School Programs! The 2019 Grad School Fair: • Held at the Baltimore Convention Center, Baltimore, MD, during the Joint Mathematics Meetings in January • Research-oriented special undergraduate programs • Connect with over 300 talented student attendees. • More than 60 graduate programs in the mathematical sciences represented! The event is free for registered students to attend. Schools will pay a small table fee to represent their programs. Learn more at: For further information: www.ams.org/gradfair phone: 800-321-4AMS, ext. 4060 email: [email protected] Please check the Joint Mathematics Meetings registration site for updated dates and times. Notices of the American Mathematical Society September 2018 FEATURED 902684 909 26914 The Geometry of Matroids Movie Animation: A AMS Fall Sectional Sampler Federico Ardila Continuum Approach for Braids, Surfaces, and Homological Frictional Contact Invariants J. Elisenda Grigsby Joseph Teran Ricardo Cortez presents our issue for Hispanic Heritage Month (page 901), which begins September 15. Federico Ardila shows how matroid theory has led to the solution of long-standing questions. Joseph Teran explains how movie animations model skin, clothing, and snow-covered ground. In a sampler of her address at the Eastern Sectional at Delaware this month, Elisenda Grigsby describes some invariants for knots and links, with possible application to the slice ribbon conjecture. -
Mathematical Sciences Research Institute Annual Report for 2010–11
Annual Progress Report on the Mathematical Sciences Research Institute 2010–11 Activities supported by NSF Grant DMS–0932078 May, 2012 Mathematical Sciences Research Institute Annual Report for 2010–11 1. Overview of Activities ............................................................................................................... 1 1.1 New Developments ............................................................................................................. 1 1.2 Summary of Demographic Data for 2010–11 Activities .................................................... 5 1.3 Scientific Programs and their Associated Workshops ........................................................ 7 1.4 Scientific Activities Directed at Underrepresented Groups in Mathematics ...................... 9 1.5 Summer Graduate Schools (Summer 2010) ....................................................................... 9 1.6 Other Scientific Workshops .............................................................................................. 10 1.7 Educational & Outreach Activities ................................................................................... 11 a. Circle on the Road Spring 2011 (NSF Supplemental Grant DMS-0937701) b. Critical Issues in Mathematics Education Spring 2011: Math Education of Teachers (NSF Supplemental Grant DMS-0937701) 1.8 Programs Consultant List .................................................................................................. 12 2. Program and Workshop Data............................................................................................... -
BIRS 2006 Scientific Report
Banff International Research Station for Mathematical Innovation and Discovery BIRS 2006 Scientific Report Contents 5-day Workshops.................................................................................................3 2-day Workshops...............................................................................................49 Summer Schools, Research in Teams, Focused Research Groups....................53 Banff International Research Station 2006 5-Day Workshops Frontiers in String Theory February 11 - 16, 2006 Organizers: Brian Greene (Columbia University) Amanda Peet (University of Toronto) Hirosi Ooguri (California Institute of Technology) Gordon Semenoff (University of British Columbia) Some of the most high powered theoretical physicists in the world converged at BIRS for a workshop on recent developments in superstring theory. This event was co-orga- nized by Professor Brian Greene of Columbia University, who was also the author of the best-selling book and star of the PBS Nova program entitled “The Elegant Universe’’. Other organizers were string theorists Hirosi Ooguri of Caltech, Amanda Peet and Gordon Semenoff from the Universities of Toronto and British Columbia. The workshop focused on the hottest new results in superstring theory which was a candidate for a unified theory of the fundamental constituents of matter and their interactions. It was touted as a solution of the long-standing problem of quantizing gravity and reconciling Einstein’s general theory of relativity and the quantum theory. It had many profound