Weinan E Princteon University, USA [email protected]

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Weinan E Princteon University, USA Weinan@Math.Princeton.Edu

Weinan E Princteon University, USA [email protected] Weinan E received his Ph.D. from UCLA in 1989. After being a visiting member at the Courant Institute of NYU and the Institute for Advanced Study at Princeton, he joined the faculty at NYU in 1994. He is now a professor of mathematics at Princeton University, a position he has held since 1999. He is also a Changjiang professor at the Peking University. Weinan E’s research interest is in multiscale and stochastic modeling. His work covers issues that include mathematical foundation of stochastic and multiscale modeling, design and analysis of of algorithms and applications to problems in various disciplines of science and engineering, with particular emphasis on the modeling of rare events, material sciences and ﬂuid dynamics. Weinan E is the recipient of the Presidential Early Career Awards for Scientists and Engineers (PECASE), the Feng Kang Prize, the SIAM R. E. Kleinman Prize, and the ICIAM Collatz Prize. He is a member of the Chinese Academy of Sciences, a fellow of the American Mathematical Society, a SIAM fellow and a fellow of the Institute of Physics. Mathematical theory of solids: From quantum mechanics to continuum models Abstract The problem of trying to understand solids from microscopic and macroscopic viewpoints goes back to Cauchy and was taken up again by Born. In this talk, I will present the progress that has been made on this Cauchy-Born program. In particular, I will discuss how macroscopic continuum models of solids can be derived from models of quantum mechanics and molecular dynamics. I will also discuss stability of solids at the macroscopic, atomic and electronic scales..

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WEINAN E Education Ph.D. Mathematics UCLA 1989 M.S
WEINAN E Department of Mathematics and Program in Applied and Computational Mathematics Princeton University, Princeton, NJ 08544 Phone: (609) 258-3683 Fax: (609) 258-1735 [email protected] Education Ph.D. Mathematics UCLA 1989 M.S. Mathematics Chinese Academy of Sciences 1985 B.S. Mathematics University of Science and Technology of China 1982 Academic Positions 9/99- Professor, Department of Mathematics and PACM, Associate Faculty Member of the Department of Operational Research and Financial Engineering, Princeton University 8/15- Director, Beijing Institute of Big Data Research 9/00-8/19 Changjiang Visiting Professor, Peking University 5/14-8/18 Dean, Yuanpei College, Peking University 9/97-8/99 Professor, Courant Institute, New York University 9/94-8/97 Associate Professor, Courant Institute, New York University 9/92-8/94 Long Term Member, Institute for Advanced Study, Princeton 9/91-8/92 Member, Institute for Advanced Study, Princeton 9/89-8/91 Visiting Member, Courant Institute, New York University Awards and Honors 1993 Alfred P. Sloan Foundation Fellowship 1996 Presidential Early Career Award in Science and Engineering 1999 Feng Kang Prize in Scientific Computing 2003 ICIAM Collatz Prize, awarded by the 5th International Council of of Industrial & Applied Math. 2005 Elected Fellow of Institute of Physics 2009 Elected Fellow of Society of Industrial and Applied Mathematics 2009 The Ralph E. Kleinman Prize, Society of Industrial and Applied Mathematics 2011 Elected member of the Chinese Academy of Sciences 2012 Elected Fellow of the American Mathematical Society 2014 Theodore von KármánPrize, Society of Industrial and Applied Mathematics 2019 Peter Henrici Prize, Society of Industrial and Applied Mathematics and ETH Selected Lectures 12/2000 Invited Speaker, Current Developments in Mathematics, Harvard University.
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Math Student 2007
ISSN: 0025-5742 THE MATHEMATICS STUDENT Volume 76, Numbers 1 - 4, (2007) copy- Edited by J. R. PATADIA circulation (Issued: October, 2008) Member'sfor not PUBLISHED BY THE INDIAN MATHEMATICAL SOCIETY (In the memory of late Professor M. K. Singal) THE MATHEMATICS STUDENT Edited by J. R. PATADIA In keeping with the current periodical policy, THE MATHEMATICS STUDENT (STUDENT) will seek to publish material of interest not just to mathematicians with specialized interest but to undergraduate and postgraduate students and teachers of mathematics in India. With this in view, it will publish material of the following type: 1. Expository articles and popular (not highly technical) articles. 2. Classroom notes (this can include hints on teaching certain topics or filling vital gaps in the usual treatments of topics to be found in text-books or how some execises can and should be made an integral part of teaching, etc.) 3. Problems and solutions, News and Views. 4. Information on articles of common interest published in other periodicals, 5. Proceedings of IMS Conferences. Expository articles, classroom notes, news and announcements and research papers are invited for publication in THE MATHEMATICS STUDENT. Manuscripts intended for publication should preferably be submitted online in the LaTeX .pdf file or in the standard word processing format (Word or Word Perfect) including figures and tables. In case of hard copy submission, three copies of the manuscripts along with the Compact Disc (CD) copy should be submitted to the Editor Dr. J. R. Patadia, Department of Mathematics, faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara-390 002 (Gujarat),copy- India.
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FALL 2011 Contents n TRADE 1 n NATURAL HISTORy 24 n ACADEMIC TRADE 31 n PAPERBACKS 43 n RELIGION 72 n EUROPEAN HISTORy 75 n HISTORY 76 n AMERICAN HISTORy 80 n ANCIENT HISTORy 81 n CLASSICs 82 n LITERATURe 82 n CHINESE LANGUAGE 85 n ART 88 n MUSIC 89 n PHILOSOPHy 90 n LAW 92 n POLITICS 93 n POLITICAL SCIENCE 95 n ANTHROPOLOGY 100 n SOCIOLOGY 103 n SOCIAL SCIENCE 107 n ECONOMICS 107 n MATHEMATICs 112 n ENGINEERINg 114 n PHYSICs 115 n EARTH SCIENCe 117 n BIOLOGY 118 n ECOLOGY 120 n RECENT & BEST-sELLING TITLES 121 n AUTHOR / TITLE INDEx 124 n ORDER INFORMATION Trade 1 The Darwin Economy Liberty, Competition, and the Common Good WHAT CHARLES DARWIN CAN TEACH US ABOUT BUILDING A FAIRER SOCIETY Robert H. Frank Who was the greater economist—Adam Smith or Charles Darwin? The question seems absurd. Darwin, after all, was a naturalist, not an economist. But Robert Frank, New York Times economics columnist and best-selling author of The Economic Naturalist, predicts that within the next century Darwin will un- seat Smith as the intellectual founder of economics. The reason, Frank argues, is that Darwin’s understanding of competition describes economic reality far more accurately than Smith’s. And the consequences of this fact are profound. Indeed, the failure to recognize that we live in Darwin’s world rather than Smith’s is putting us all at risk by preventing us from seeing that competition alone will not solve our problems. Smith’s theory of the invisible hand, which says that competition channels self-interest for the common good, is probably the most widely cited argument today in favor of unbridled competition—and against regulation, taxation, and even government itself.
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Curriculum Vitae
Curriculum Vitae Xu Yang Department of Mathematics Office: 6607 South Hall University of California Email: [email protected] Santa Barbara, CA 93106-3080 www.math.ucsb.edu/∼xuyang Education Ph.D. 2008, Mathematics, University of Wisconsin-Madison M.S. 2005, Applied Mathematics, Tsinghua University, Beijing, China B.S. 2003, Mathematics, Tsinghua University, Beijing, China Research Interests: Applied analysis and numerical computation of scientific problems arising from biology, seis- mology, materials science and geophysical fluids. Specifically, biological modeling, seismic imaging, computational methods for high-frequency wave propagation, dynamics of electrons in crystals, semiclassical approximation in quantum mechanics, atmospheric and oceanic mod- eling, kinetic transport in heterogeneous media. Academic Experience Employment: Associate Professor, Department of Mathematics, University of California, Santa Barbara, since 2016. Assistant Professor, Department of Mathematics, University of California, Santa Barbara, 2012– 2016. Associate Research Scientist, Courant Institute of Mathematical Sciences, New York University, 2010–2012. Postdoctoral Research Associate, Program in Applied and Computational Mathematics, Prince- ton University, 2008–2010. Visiting position: Visiting member, Department of Mathematical Sciences, Tsinghua University, Beijing, China, August-September, 2014. Visiting member, Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China, August, 2012. Awards and Honors Hellman Family Foundation Faculty
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Lin Lin: Curriculum Vitae
Lin Lin 1083 Evans Hall, Phone: (510) 664-7189 Department of Mathematics, Email: [email protected] University of California, Homepage: http://math.berkeley.edu/~linlin Berkeley, CA 94720 USA Position Associate Professor, Department of Mathematics, University of California, Berkeley, 2018–present Challenge Institute of Quantum Computation, University of California, Berkeley, 2020–present Faculty Scientist, Computational Research Division, and Center for Applied Mathematics for Energy Research Applications (CAMERA), Lawrence Berkeley National Laboratory, 2014–present Assistant Professor, Department of Mathematics, University of California, Berkeley, 2014–2018 Research Scientist (Career Track), Lawrence Berkeley National Laboratory, 2013–2014 Luis W. Alvarez Postdoctoral Fellow, Lawrence Berkeley National Laboratory, 2011–2013 Education Ph. D. Applied Mathematics, Princeton University, USA, 2011 Advisors: Professor Weinan E (Mathematics) and Professor Roberto Car (Chemistry) B.S. Mathematics, Peking University, China, 2007 Awards Simons Investigator in Mathematics, 2021 ACM Gordon Bell Prize (Team), 2020 Presidential Early Career Awards for Scientists and Engineers (PECASE), 2019 Department of Energy Early Career Award, 2017–2022 National Science Foundation CAREER Award, 2017–2022 SIAM Computational Science and Engineering (CSE) Early Career Prize (inaugural), 2017 Alfred P. Sloan fellowship, 2015–2017 Luis W. Alvarez Fellowship, Lawrence Berkeley National Laboratory, 2011–2013 Harold W. Dodds Honoriﬁc Fellowship, Princeton University, 2010 Ray Grimm Memorial Prize in Computational Physics, Princeton University, 2010 Research Area Numerical analysis; Quantum many-body problems; Computational quantum chemistry; Computational ma- terials science; Multiscale modeling; Scientiﬁc machine learning; Quantum computing; Parallel Computing Lin Lin 2 Grants Simons Investigator in Mathematics. 2021–2026. Co-Investigator (Lead PI: Martin Head-Gordon). SciDAC-5, DOE. 2021–2025.
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GRADUATE STUDIES IN MATHEMATICS 199 Applied Stochastic Analysis Weinan E Tiejun Li Eric Vanden-Eijnden 10.1090/gsm/199 Applied Stochastic Analysis GRADUATE STUDIES IN MATHEMATICS 199 Applied Stochastic Analysis Weinan E Tiejun Li Eric Vanden-Eijnden EDITORIAL COMMITTEE Daniel S. Freed (Chair) Bjorn Poonen Gigliola Staffilani Jeff A. Viaclovsky 2010 Mathematics Subject Classification. Primary 60-01, 60J22, 60H10, 60H35, 62P10, 62P35, 65C05, 65C10, 82-01. For additional information and updates on this book, visit www.ams.org/bookpages/gsm-199 Library of Congress Cataloging-in-Publication Data Names: E, Weinan, 1963- author. | Li, Tiejun, 1974- author. | Vanden-Eijnden, Eric, 1968- author. Title: Applied stochastic analysis / Weinan E, Tiejun Li, Eric Vanden-Eijnden. Description: Providence, Rhode Island : American Mathematical Society, [2019] | Series: Gradu- ate studies in mathematics ; volume 199 | Includes bibliographical references and index. Identifiers: LCCN 2019000898 | ISBN 9781470449339 (alk. paper) Subjects: LCSH: Stochastic analysis. | AMS: Probability theory and stochastic processes – In- structional exposition (textbooks, tutorial papers, etc.). msc | Probability theory and stochas- tic processes – Markov processes – Computational methods in Markov chains. msc | Probability theory and stochastic processes – Stochastic analysis – Stochastic ordinary differential equa- tions. msc | Probability theory and stochastic processes – Stochastic analysis – Computational methods for stochastic equations. msc | Statistics – Applications – Applications
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MATH-IMS Joint Applied Mathematics Colloquium Series The Chinese University of Hong Kong This MATH-IMS Joint Colloquium Series is organized by Center for Mathematical Artificial Intelligence (CMAI), under Department of Mathematics and Institute of Mathematical Sciences (IMS) at The Chinese University of Hong Kong. The colloquium series focuses on mathematics and applications of artificial intelligence, big data and related topics. Date: October 16, 2020 (Friday) Time: 10am – 11am (Hong Kong Time) Zoom Link: https://cuhk.zoom.us/j/92775210812 Machine Learning and Computational Mathematics Speaker: : Professor Weinan E Princeton University Abstract: The heart of machine learning is the approximation of functions using finite pieces of data. This is one of the main pillars of computational mathematics. Thus it is not surprising that the success of machine learning in dealing with functions in very high dimensions has opened up some brand new territories in computational mathematics, with potentially unprecedented impact for years to come. In the first part of this talk, I will review some of the most exciting advances of using machine learning to address problems in scientific computing and computational science. In the second part of this talk, I will discuss how machine learning can be formulated as a problem in computational mathematics and how ideas from numerical analysis can be used to understand machine learning as well as construct new machine learning models and algorithms. Bio: Professor Weinan E obtained his BS degree from the University of Science and Technology of China in 1982 and his master's degree in Academy of Mathematics and Systems Science at Chinese Academy of Sciences in 1985.
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Curriculum Vitae
Curriculum Vitae Tiezheng Qian Current Address Department of Mathematics The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong, China Tel: (852) 23587443 Fax: (852) 23581643 Email: [email protected] Areas of Research Interest • Mathematical modeling and numerical simulations of complex fluids • Statistical physics of soft matter • Multi-scale modeling and simulations • Macroscopic quantum phenomena Education PhD, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China (1997) M.S., Department of Physics, Zhejiang University, Hangzhou, China (1993) B.S., Department of Physics, Zhejiang University, Hangzhou, China (1990) Professional Appointments • Assistant Professor, Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, China (July 2003 — June 2008) • Associate Professor, Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, China (July 2008 — June 2016) • Professor, Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, China (July 2016 — present) Research Grants 1. Croucher Foundation Z0138, Laboratory on Multiscale Modeling and Simulations, HKD 1,000,000 plus HKD 1,000,000 matching from the government, Role: one of the six team members from the Mathematics and Physics Departments. 2. DAG03/04.SC21, Molecular dynamics simulations and continuum hydrodynamic calculations of cavity flow: The slip boundary condition, HKD 105,600, PI (2003 – 2011). 3. RGC CERG Project No. 602904, Meissner effect in nanotube-zeolite complex, HKD 318,000, PI (Jan 2005 – Dec 2007). 4. RGC CERG Project No. 602805, Generalization and application of the string method for the study of quantum metastability, HKD 231,000, PI (Sep 2005 – Feb 2008). 5. RGC Central Allocation CA05/06.SC01, Multi-Phase Fluid Flow: Theory, Simulation and Experiments, HKD 3,400,000, Co-I (Feb 2006 – Jan 2009).
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NYU-Oxford Workshop on Mathematical Models of Defects and Patterns Courant Institute of Mathematical Sciences New York University January 5-8, 2016 Speakers Xian Chen Hong Kong University of Science & Technology Weinan E Princeton University Sharon Glotzer University of Michigan Alain Goriely University of Oxford Yury Grabovsky Temple University Miranda Holmes-Cerfon New York University Randall Kamien University of Pennsylvania Alain Karma Northeastern University Emmanuelle Lacaze Université Pierre et Marie Curie Xavier Lamy Max Planck Institute, Leipzig Emanuel Lazar University of Pennsylvania Robert MacPherson Institute for Advanced Study Maria Giovanna Mora Università di Pavia Massimiliano Morini Università di Parma Cyrill Muratov New Jersey Institute of Technology Ryan Murray Carnegie Mellon University Celia Reina University of Pennsylvania Pedro Reis Massachusetts Institute of Technology Christian Santangelo University of Massachusetts, Amherst Sylvia Serfaty Université Pierre et Marie Curie Michael Shelley New York University Tim Sluckin University of Southampton Brian Spencer State University of New York, Buffalo Dominic Vella University of Oxford Epifanio Virga Università di Pavia Arghir Zarnescu Univ. of Sussex and “Simion Stoilow” Institute Pingwen Zhang Peking University Organizers: Top: Origami mechanisms such as the Miura-ori can have their mechanical properties tuned by the introduction of localized misfolds known as “pop-through” defects. Robert V. Kohn New York University (Jesse Silverberg) John M. Ball University of Oxford Lower left: Building pseudolayers by integrating up the torsion of the integral curves of the Giovanni Leoni Carnegie Mellon University pitch axes in a cholesteric liquid crystal. (Daniel Beller) Lower right: Level sets of surfaces can be used to study layered materials in one Peter Palffy-Muhoray Kent State University dimension lower.
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CONTENTS A LETTER FROM THE DIRECTOR ■ TRADE 1 ■ ACADEMIC TRADE 26 The debate over the “two cultures” of science and the humanities ■ NATURAL HISTORY 41 is back in the news, sparked by a recent New Republic article by ■ PAPERBACKS 52 Steven Pinker, “Science Is Not Your Enemy.” Waves of reaction, ■ ANCIENT HISTORY 77 from the pages of the Guardian to the New York Times, have ■ HISTORY 77 intensifi ed the argument. Regardless of where readers stand on ■ AFRICAN HISTORY 79 this perennial discussion, Princeton University Press continues ■ AMERICAN HISTORY 80 to provide both substance and context for it in the form of fi ne ■ ECONOMICS 81 new scholarly books. Our spring 2014 list juxtaposes the best of ■ FINANCE 83 science and the humanities, not to mention social science, in the ■ SOCIOLOGY 84 freshest expression of a long publishing tradition. ■ LAW 87 We begin in science—biology, to be exact—with The Extreme Life ■ POLITICAL SCIENCE 89 of the Sea, a book by Stephen Palumbi and Anthony Palumbi that ■ POLITICAL THEORY 90 tells the story of some of the world’s most remarkable species, ■ PHILOSOPHY 91 animals that have adapted to the least hospitable ocean environ- ■ JEWISH STUDIES 93 ments. We then shift to the humanities in Jürgen Osterham- ■ LITERATURE 94 mel’s eagerly awaited global history of the nineteenth century, ■ ART 94 The Transformation of the World. Acclaimed economic historian ■ CHINESE LANGUAGE 95 Gregory Clark imaginatively blends social science and history in ■ BIOLOGY 96 The Son Also Rises: Surnames and the History of Social Mobility. ■ ECOLOGY 99 Science returns center stage in Katherine Freese’s inside story ■ MATHEMATICS 100 of the universe’s dark matter, The Cosmic Cocktail, while Averil ■ COMPUTER SCIENCE 103 Cameron combines classical knowledge with the essayist’s art ■ ASTROPHYSICS 104 in Byzantine Matters.
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