Raghu Varadhan Receives National Medal of Science
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Curriculum Vitae
Curriculum Vitae Larry Guth Education B.S. Mathematics, Yale University, 2000 PhD Mathematics, MIT, 2005 Employment Samelson Fellow, Stanford University 2005-6 Szego Assistant Professor, Stanford University, 2006 - 2008 National Science Foundation Postdoctoral Fellow, 2006 - 2008 Tenure-stream Assistant Professor, University of Toronto, 2008 - 2011 Member, Institute for Advanced Study, 2010 - 2011 Professor, New York University, 2011 - 2012 Professor, MIT, 2012 - Fellowships National Science Foundation Graduate Fellowship, 2001 - 2003 National Science Foundation Postdoctoral Fellowship , 2006 - 2008 Alfred P. Sloan Research Fellowship, 2010 - 2014 Simons Investigator, 2014 - Honors Salem prize 2013 Invited talks Invited sectional speaker at the 2010 International Congress of Mathematics Marston Morse lectures, IAS, 2013 Namboodiri lectures, University of Chicago, 2015 1 Selected publications 1. Lipshitz maps from surfaces, Geom. Funct. Anal. 15 (2005), no. 5, 1052-109 2. The width-volume inequality, Geom. Funct. Anal. 17 (2007) no. 4, 1139-1179 3. Notes on Gromov's systolic estimate, Geom. Dedicata 123 (2006) 113-129 4. Symplectic embeddings of polydisks, Invent. Math. 172 (2008) no. 3, 477-489 5. Minimax problems related to cup powers and Steenrod squares, Geom. Funct. Anal. 18 (2009), no. 6, 1917{1987 6. The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture, Acta Math. 205 (2010), no. 2, 263-286. 7. Systolic inequalities and minimal hypersurfaces, Geom. Funct. Anal. 19 (2010), no. 6, 1688-1692. 8. Volumes of balls in large Riemannian manifolds, Ann. of Math. (2) 173 (2011), no. 1, 5176. 9. Area-expanding embeddings of rectangles, preprint 10. Algebraic methods in discrete analogs of the Kakeya problem (joint with Nets Katz), Adv. -
The Johns Hopkins University Baltimore, Maryland Conferring Of
THE JOHNS HOPKINS UNIVERSITY M RE MARYL D BALTI O , AN C ONFERRING O F DEGREES CLOSE OF THE EIGHTIETH ACADEMIC YEAR UNE 1 2 1 6 J , 95 KEYSER 'UADRANGLE AT TEN A . M . ORDER OF PROCESSION CHIEF MARSHA L FRITZ MACHLUP Divisions M arsha ls den I The Presi t of the University 0 . FRANK M LLER C i d G the hapla n , Honore uests , the Trustees W L I M D EL The Facul ties I L A . MC ROY he S B T Graduates GEORGE . ENTON T F HUB HOMAS . BARD W L A TER S . KOSKI J M E E A ES M . MCK LV Y NA S LI H CH OKS Y . H E C P OWARD . OO ER C D F LA GLE HARLES . JOHN WALT ON MARGAR ET MERRELL CAR M I OHAE L T L MA R. I GH N P UL A R A M . LINEBARGE THOMAS I . COOK USHERS K M C A Th e ushers are members of appa u , hapter of lpha Phi Omega, n ational service fraternity ORGA NIST ELTER MANN JOH N H . The audience is requested to stand as the academic procession moves into the area and to remain stan ding until after the Invocation and the singing of the National Anthem ORDER OF EXERCISES I PROOE S SI ONA L ' Processional by Masciadri I I I NVOCA TI ON N PEA B DY TH E VERY REVERE ND JOH N . O Ca thedra l Church ~ o f th e I ncarna tion I I I TH E NA TI ONA L A NTH EM I V A DDRES S Change in an Expanding Economy DEVEREUX COLT JOSEPH S v CONF ERRI NG OF DEGREES A ND CERTI F I CA TES Bachelors of A rt s — presented by Dean Cox Bachelors of Science in B usiness Bachelors of Engineering Science — presented by Dean ROY Bachelors of Engineering Masters of Science in Engineerin g — presented by Dean ROY Doctors of Engineering Bachelors of Science — presented by Dean -
Spiking Neurons and the First Passage Problem
LETTER Communicated by Daniel Tranchina Spiking Neurons and the First Passage Problem Lawrence Sirovich [email protected] Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A. Bruce Knight [email protected] Center for Studies in Physics and Biology, Rockefeller University, New York, NY 10065, U.S.A. We derive a model of a neuron’s interspike interval probability density through analysis of the first passage problem. The fit of our expression to retinal ganglion cell laboratory data extracts three physiologically rele- vant parameters, with which our model yields input-output features that conform to laboratory results. Preliminary analysis suggests that under common circumstances, local circuitry readjusts these parameters with changes in firing rate and so endeavors to faithfully replicate an input signal. Further results suggest that the so-called principle of sloppy work- manship also plays a role in evolution’s choice of these parameters. 1 Introduction The pattern of electrical discharge event times, recorded from a neuron by a microelectrode in a vertebrate’s central nevous system, largely depends on three macroscale parameters: local synaptic input current s, in response to signals from other neurons, the transmembrane ohmic rate constant γ , proportional to transmembrane conductance, and the intracellular level of stochastic voltage noise, which may be expressed as a diffusion coefficient. Here we develop an expression for a neuron’s interspike-interval proba- bility density distribution in terms of these three variables. Our procedure assigns to the recorded neuron a simplified dynamical model, whose input- output dynamics, in some studied cases, conforms well with laboratory results. -
Mathematical Genealogy of the Wellesley College Department Of
Nilos Kabasilas Mathematical Genealogy of the Wellesley College Department of Mathematics Elissaeus Judaeus Demetrios Kydones The Mathematics Genealogy Project is a service of North Dakota State University and the American Mathematical Society. http://www.genealogy.math.ndsu.nodak.edu/ Georgios Plethon Gemistos Manuel Chrysoloras 1380, 1393 Basilios Bessarion 1436 Mystras Johannes Argyropoulos Guarino da Verona 1444 Università di Padova 1408 Cristoforo Landino Marsilio Ficino Vittorino da Feltre 1462 Università di Firenze 1416 Università di Padova Angelo Poliziano Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo 1477 Università di Firenze 1433 Constantinople / Università di Mantova Università di Mantova Leo Outers Moses Perez Scipione Fortiguerra Demetrios Chalcocondyles Jacob ben Jehiel Loans Thomas à Kempis Rudolf Agricola Alessandro Sermoneta Gaetano da Thiene Heinrich von Langenstein 1485 Université Catholique de Louvain 1493 Università di Firenze 1452 Mystras / Accademia Romana 1478 Università degli Studi di Ferrara 1363, 1375 Université de Paris Maarten (Martinus Dorpius) van Dorp Girolamo (Hieronymus Aleander) Aleandro François Dubois Jean Tagault Janus Lascaris Matthaeus Adrianus Pelope Johann (Johannes Kapnion) Reuchlin Jan Standonck Alexander Hegius Pietro Roccabonella Nicoletto Vernia Johannes von Gmunden 1504, 1515 Université Catholique de Louvain 1499, 1508 Università di Padova 1516 Université de Paris 1472 Università di Padova 1477, 1481 Universität Basel / Université de Poitiers 1474, 1490 Collège Sainte-Barbe -
2017-2018 Annual Report
Institute for Computational and Experimental Research in Mathematics Annual Report May 1, 2017 – April 30, 2018 Brendan Hassett, Director Mathew Borton, IT Director Jeff Brock, Associate Director Ruth Crane, Assistant Director Sigal Gottlieb, Deputy Director Elisenda Grigsby, Deputy Director Jeffrey Hoffstein, Consulting Associate Director Caroline Klivans, Associate Director Jill Pipher, Consulting Associate Director Bjorn Sandstede, Associate Director Homer Walker, Consulting Associate Director Ulrica Wilson, Associate Director for Diversity and Outreach Table of Contents Mission ....................................................................................................................................... 6 Core Programs and Events ......................................................................................................... 6 Participant Summaries by Program Type ................................................................................... 9 ICERM Funded Participants ................................................................................................................. 9 All Participants (ICERM funded and Non-ICERM funded) .................................................................. 10 ICERM Funded Speakers ................................................................................................................... 11 All Speakers (ICERM funded and Non-ICERM funded) ...................................................................... 12 ICERM Funded Postdocs .................................................................................................................. -
Polynomial Methods in Combinatorics
UNIVERSITY LECTURE SERIES VOLUME 64 Polynomial Methods in Combinatorics Larry Guth American Mathematical Society https://doi.org/10.1090//ulect/064 Polynomial Methods in Combinatorics UNIVERSITY LECTURE SERIES VOLUME 64 Polynomial Methods in Combinatorics Larry Guth American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Jordan S. Ellenberg Robert Guralnick William P. Minicozzi II (Chair) Tatiana Toro 2010 Mathematics Subject Classification. Primary 05D99. For additional information and updates on this book, visit www.ams.org/bookpages/ulect-64 Library of Congress Cataloging-in-Publication Data Names: Guth, Larry, 1977– Title: Polynomial methods in combinatorics / Larry Guth. Description: Providence, Rhode Island : American Mathematical Society, [2016] | Series: Univer- sity lecture series ; volume 64 | Includes bibliographical references. Identifiers: LCCN 2016007729 | ISBN 9781470428907 (alk. paper) Subjects: LCSH: Combinatorial geometry. | Polynomials. | Geometry, Algebraic. | AMS: Combina- torics – Extremal combinatorics – None of the above, but in this section. msc Classification: LCC QA167 .G88 2016 | DDC 511/.66–dc23 LC record available at http://lccn.loc. gov/2016007729 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are handled by Copyright Clearance Center’s RightsLink service. For more information, please visit: http://www.ams.org/rightslink. -
Mathematical Research in High School: the PRIMES Experience
Mathematical Research in High School: The PRIMES Experience The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Etingof, Pavel, Slava Gerovitch, and Tanya Khovanova. “Mathematical Research in High School: The PRIMES Experience.” Notices of the American Mathematical Society 62, no. 08 (September 1, 2015): 910–918. © American Mathematical Society (AMS) As Published http://dx.doi.org/10.1090/noti1270 Publisher American Mathematical Society (AMS) Version Final published version Citable link http://hdl.handle.net/1721.1/110267 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Mathematical Research in High School: The PRIMES Experience Pavel Etingof, Slava Gerovitch, and Tanya Khovanova Consider a finite set of lines in 3-space. A joint is a point where three of these lines (not lying in the same plane) intersect. If there are L lines, what is the largest possible number of joints? Well, let’s try our luck and randomly choose k planes. Any pair of planes produces a line, and any triple of planes, a joint. Thus, they produce L := k(k − 1)/2 lines and J :=p k(k − 1)(k − 2)/6 joints. If k is large, J is 2 3=2 about 3 L . For many years it was conjectured that one cannot do much better than that, in the 3=2 sense that if L is large, thenp J ≤ CL , where C is a constant (clearly, C ≥ 2 ). -
LARRY GUTH Curriculum Vitae Department Of
LARRY GUTH Curriculum Vitae Department of Mathematics 617-253-4326 Room 2-278 [email protected] 77 Massachusetts Avenue Cambridge, MA 02139 Degrees: B.S. Mathematics, Yale University, 2000 Ph.D. Mathematics, MIT, 2005 Employment: Samelson Fellow, Stanford University, 2005-2006 Szego Assistant Professor, Stanford University, 2006-2008 National Science Foundation Postoctoral Fellow, 2006-2008 Tenure-stream Assistant Professor, University of Toronto, 2008-2011 Member, Institute for Advanced Study, 2010-2011 Professor, New York University, 2011-2012 Professor, MIT, Department of Mathematics, 2012- Claude Shannon Professor of Mathematics, MIT, 2019- Fellowships: National Science Foundation Graduate Fellowship, 2001-2003 National Science Foundation Postdoctoral Fellowship, 2006-2008 Alfred P. Sloan Research Fellowship, 2010-2014 Simons Investigator, 2014- Honors: Sloan Research Fellowship, 2010 Salem Prize, 2013 Simons Investigator, Simons Fnd, 2014 Clay Research Award, 2015 School of Science Prize for Excellence in Graduate Teaching, 2015 New Horizons in Mathematics Breakthrough Prize, 2015 Fellow of the American Academy of Arts and Sciences, 2018 Best Paper Award, International Consortium of Chinese Math., 2018 Fellow of the American Mathematical Society, 2019 B^ocher Memorial Prize, 2020 Maryam Mirzakhani Prize in Mathematics, 2020 Margaret MacVicar Faculty Fellow, MIT, 2021 Member of the National Academy of Sciences, 2021 1 B.S. Student Thesis Supervised (University of Toronto): Lisha (Janet) Li: University of Toronto: Received a 2017 PhD in Statistics & Machine Learning, from U.C. Berkeley; currently at Amplify Partners, S.F. Bay Area Graduate Students Supervised: University of Toronto: Dominic Dotterrer: PhD, University of Toronto, 2013: Dickson Instr., University of Chicago, 2013-2016; currently: Senior Research Scientist, Goldman Sachs, 2019-. -
2016-2017 Annual Report
Institute for Computational and Experimental Research in Mathematics Annual Report May 1, 2016 – April 30, 2017 Brendan Hassett, Director Mathew Borton, IT Director Jeff Brock, Associate Director Ruth Crane, Assistant Director Jeffrey Hoffstein, Consulting Associate Director Caroline Klivans, Associate Director Jill Pipher, Consulting Associate Director Sinai Robins, Deputy Director Bjorn Sandstede, Associate Director Homer Walker, Deputy Director Ulrica Wilson, Associate Director for Diversity and Outreach 1 Table of Contents Mission ......................................................................................................................................................... 5 Core Programs and Events ............................................................................................................................. 5 Participant Summaries by Program Type ....................................................................................................... 8 ICERM Funded Participants .................................................................................................................................................................................. 8 All Participants (ICERM funded and Non-ICERM funded) ....................................................................................................................... 9 ICERM Funded Speakers .................................................................................................................................................................................... -
THE SUMMER MEETING in ITHACA the American Mathematical Society
THE SUMMER MEETING IN ITHACA The American Mathematical Society held its seventieth summer meeting at Ithaca, New York from Tuesday through Friday, August 31-September 3, 1965. There were 1470 persons registered at the meeting including 1051 members of the Society. All sessions were held in lecture rooms and classrooms on the campus of Cornell Uni versity. Professor A. P. Calderón of the University of Chicago presented the Forty-Third Colloquium in a set of four lectures with the title Singular integrals. He was introduced at the first lecture by Professor A. A. Albert, President of the Society. Presiding at the other lectures were Professors R. H. Cameron, W. E. Sewell and J. W. Green, the last of whom offered the thanks of the Society to the speaker. By invitation of the Committee to Select Hour Speakers for Sum mer and Annual Meetings, Professor George Lorentz of Syracuse University addressed the Society on Applications of entropy to ap proximation. Professor Maurice Heins presided and introduced the speaker. There were twenty-six sessions for one hundred seventy con tributed papers. Members may wish to know that the number of papers offered for the program was exactly one hundred seventy, the same as the limit set in advance on the number which could be accepted. It was not necessary to turn down any papers for lack of a place on the program. The chairmen of the sessions for contributed papers were Pro fessors J. H. Bramble, R. J. Bumcrot, S. S. Cairns, S. U. Chase, V. F. Cowling, Louis de Branges, Tomlinson Fort, A. -
1 Institute for Pure and Applied Mathematics, UCLA Preliminary
Institute for Pure and Applied Mathematics, UCLA Preliminary Report on Funding Year 2014-2015 June 19, 2015 The current funding period ends on August 31, 2015. This is a preliminary report. The full report will be submitted next year. IPAM held two long programs. Each long program included tutorials, four workshops, and a culminating retreat. Between workshops, the participants planned a series of talks and focus groups. Mathematics of Turbulence (fall 2014) Broad Perspectives and New Directions in Financial Mathematics (spring 2015) Workshops in the past year included: Multiple Sequence Alignment Symmetry and Topology in Quantum Matter Computational Photography and Intelligent Cameras Zariski-dense Subgroups Machine Learning for Many-Particle Systems IPAM held two diversity conferences in the past year: Blackwell-Tapia Conference and Awards Ceremony Latinos/as in the Mathematical Sciences Conference The Blackwell-Tapia Conference was supported by the NSF Math Institutes’ Diversity Grant and a grant from the Sloan Foundation. The NSA and Raytheon Corporation sponsored the Latinos in Math Conference. An undergraduate event entitled “Grad School and Beyond: Advice for the Aspiring Mathematician” was held the day before the Blackwell-Tapia Conference and featured some of the conference speakers and participants. IPAM held “reunion conferences” for four long programs: Plasma Physics, Materials Defects, Interaction between Analysis and Geometry, and Materials for Sustainable Energy Three summer research programs will take place this summer: RIPS-Hong Kong, RIPS-LA and Graduate-level RIPS in Berlin. The graduate summer school “Games and Contracts for Cyber-Physical Security” will take place in July 2015. The Green Family Lecture Series this year featured Andrew Lo, director of MIT’s Laboratory for Financial Engineering. -
Brooklyn Tech Alumni Foundation, Inc. 29 Fort Greene Place • Brooklyn, NY 11217 Non-Profit Org
Brooklyn Tech Alumni Foundation, Inc. 29 Fort Greene Place • Brooklyn, NY 11217 Non-Profit Org. www.bthsalumni.org U.S. Postage PAID Brooklyn, NY Permit No. 1778 Tech Times 2 The magazine of The Brooklyn Tech Alumni Foundation Fall 2014 spotlight on Young scholars Tech Times 2 The magazine of Contents Inside Tech The Brooklyn Tech 2 Alumni Foundation Alumni Events 2014-15 4 From the Alumni Foundation President 5 Principal’s Letter 5 Fall 2014 Lifetime Giving Society 22 Research Stars Classic, Revived Did you conduct college-level, Tech’s iconic auditorium gets a publishable research in your Tech 21st century upgrade. 6days? These young Technites do.10 “If you have a niche to be found, you will find it here.” — Emma ParsONs ’15 second generation Technite Major Achievers Money Man Innovator Tech’s majors system gives Larry Felix ’76 makes more of it Six years out of Tech, he 12students a major advantage. 16than any of us. 18invented the digital camera. Brooklyn Tech Alumni Foundation, Inc. 29 Fort Greene Place Brooklyn, NY 11217 www.bthsalumni.org Tech Times 2 it’s happening at fort greene 29 place Engineering Week Regatta: Sink or Swim Who said engineering is a dry subject? every conceivable shape – 60 entries lined up, and all floated, Once a year at Brooklyn Tech, it’s very, very wet. for a few seconds at least. Many actually completed. That would be the annual Cardboard Boat Regatta, the cap- Not surprisingly, the full range of Tech ingenuity surfaced in all stone event of Engineering Week, a week of activities to raise aspects of the competition: design, construction, paddling and awareness of engineering.