DOCSLIB.ORG

New Publications Offered by The

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
New Publications Offered by The New Publications Offered by the AMS To subscribe to email notification of new AMS publications, please go to http://www.ams.org/bookstore-email. Algebra and Algebraic Analysis Geometry Differentiable Quantum Bounded Measures and the Symmetric Domains Malliavin Calculus Leonid L. Vaksman Vladimir I. Bogachev, Moscow Translated by Olga Bershtein and State University, Russia Sergey D. Sinel’shchikov This book provides the reader with the principal concepts and results related This book provides exposition of the to differential properties of measures basic theory of quantum bounded on infinite dimensional spaces. In the symmetric domains. The area became finite dimensional case such properties are described in terms of active in the late 1990s at a junction of densities of measures with respect to Lebesgue measure. In the noncommutative complex analysis and infinite dimensional case new phenomena arise. For the first time a extensively developing theory of quantum groups. It is well detailed account is given of the theory of differentiable measures, known that the classical bounded symmetric domains involve a initiated by S. V. Fomin in the 1960s; since then the method large number of nice constructions and results of the theory has found many various important applications. Differentiable of C∗-algebras, theory of functions and functional analysis, properties are described for diverse concrete classes of measures representation theory of real reductive Lie groups, harmonic arising in applications, for example, Gaussian, convex, stable, analysis, and special functions. In a surprising advance of the theory Gibbsian, and for distributions of random processes. Sobolev of quantum bounded symmetric domains, it turned out that many classes for measures on finite and infinite dimensional spaces are classical problems admit elegant quantum analogs. Some of those discussed in detail. Finally, the author presents the main ideas are expounded in the book. Anyone with an interest in the subject and results of the Malliavin calculus—a powerful method to study will welcome this unique treatment of quantum groups. smoothness properties of the distributions of nonlinear functionals The book is written by a leading expert in a very clear, careful, and on infinite dimensional spaces with measures. stimulating way. I strongly recommend it to graduate students and The target readership includes mathematicians and physicists research mathematicians interested in noncommutative geometry, whose research is related to measures on infinite dimensional quantum groups, C∗-algebras, or operator theory. spaces, distributions of random processes, and differential —Vladimir Drinfeld, University of Chicago equations in infinite dimensional spaces. The book includes an Contents: Quantum disc; Basic quantum theory of bounded extensive bibliography on the subject. symmetric domains; Conclusion; Bibliography; Index. Contents: Background material; Sobolev spaces on Rn; Translations of Mathematical Monographs, Volume 238 Differentiable measures on linear spaces; Some classes of differentiable measures; Subspaces of differentiability of measures; July 2010, approximately 266 pages, Hardcover, ISBN: 978-0-8218- Integration by parts and logarithmic derivatives; Logarithmic 4909-5, 2000 Mathematics Subject Classification: 17B37, 20G42, gradients; Sobolev classes on infinite dimensional spaces; The 81R50; 22E47, 33D45, 43A85, 46L52, AMS members US$84, List Malliavin calculus; Infinite dimensional transformations; Measures US$105, Order code MMONO/238 on manifolds; Applications; References; Subject index. June/July 2010 Notices of the AMS 787 New Publications Offered by the AMS Mathematical Surveys and Monographs, Volume 164 Lyapunov Exponents August 2010, approximately 501 pages, Hardcover, ISBN: and Invariant 978-0-8218-4993-4, LC 2010005829, 2000 Mathematics Sub- ject Classification: 28Cxx, 46Gxx, 58Bxx, 60Bxx, 60Hxx, AMS Manifolds for Random members US$90, List US$113, Order code SURV/164 Dynamical Systems in a Banach Space Linear Functional Zeng Lian, New York University, Analysis Courant Institute of Mathematical Joan Cerdà, Universitat de Sciences, NY, and Kening Lu, Barcelona, Spain Brigham Young University, Provo, UT Functional analysis studies the algebraic, geometric, and topological structures of Contents: Introduction; Random dynamical systems and measures spaces and operators that underlie many of noncompactness; Main results; Volume function in Banach classical problems. Individual functions spaces; Gap and distance between closed linear subspaces; satisfying specific equations are replaced Lyapunov exponents and oseledets spaces; Measurable random by classes of functions and transforms invariant complementary subspaces; Proof of multiplicative ergodic that are determined by the particular problems at hand. theorem; Stable and unstable manifolds; Appendix A. Subadditive ergodic theorem; Appendix B. Non-ergodic case; Bibliography. This book presents the basic facts of linear functional analysis as related to fundamental aspects of mathematical analysis and their Memoirs of the American Mathematical Society, Volume 206, applications. The exposition avoids unnecessary terminology and Number 967 generality and focuses on showing how the knowledge of these June 2010, 106 pages, Softcover, ISBN: 978-0-8218-4656-8, LC structures clarifies what is essential in analytic problems. 2010012476, 2000 Mathematics Subject Classification: 37H15, The material in the first part of the book can be used for an 37L55; 37A30, 47A35, 37D10, 37D25, Individual member introductory course on functional analysis, with an emphasis on US$41, List US$68, Institutional member US$54, Order code the role of duality. The second part introduces distributions MEMO/206/967 and Sobolev spaces and their applications. Convolution and the Fourier transform are shown to be useful tools for the study of ∗ partial differential equations. Fundamental solutions and Green’s C -Algebras of functions are considered and the theory is illustrated with several applications. In the last chapters, the Gelfand transform for Banach Homoclinic and algebras is used to present the spectral theory of bounded and Heteroclinic Structure unbounded operators, which is then used in an introduction to the basic axioms of quantum mechanics. in Expansive The presentation is intended to be accessible to readers whose Dynamics backgrounds include basic linear algebra, integration theory, and general topology. Almost 240 exercises will help the reader in better Klaus Thomsen, IMF, Aarhus, understanding the concepts employed. Denmark A co-publication of the AMS and Real Sociedad Matemática Española Contents: The Ruelle algebra of a (RSME). relatively expansive system; On the functoriality of the Ruelle Contents: Introduction; Normed spaces and operators; Fréchet algebra; The homoclinic algebra of expansive actions; The spaces and Banach theorems; Duality; Weak topologies; heteroclinic algebra; One-dimensional generalized solenoids; Distributions; Fourier transform and Sobolev spaces; Banach The heteroclinic algebra of a group automorphism; A dimension algebras; Unbounded operators in a Hilbert space; Hints to group for certain countable state Markov shifts; Appendix A. exercises; Bibliography; Index. Étale equivalence relations from abelian C∗-subalgebras with Graduate Studies in Mathematics, Volume 116 the extension property; Appendix B. On certain crossed product C∗-algebras; Appendix C. On an example of Bratteli, Jorgensen, Kim July 2010, 330 pages, Hardcover, ISBN: 978-0-8218-5115-9, and Roush; Bibliography. LC 2010006449, 2000 Mathematics Subject Classification: 46-01; Memoirs of the American Mathematical Society, Volume 206, 46Axx, 46Bxx, 46Exx, 46Fxx, 46Jxx, 47B15, AMS members US$50, Number 970 List US$62, Order code GSM/116 June 2010, 122 pages, Softcover, ISBN: 978-0-8218-4692-6, LC 2010012520, 2000 Mathematics Subject Classification: 46L35, 37D20, Individual member US$41, List US$69, Institutional member US$55, Order code MEMO/206/970 788 Notices of the AMS Volume 57, Number 6 New Publications Offered by the AMS Applications Small Modifications of Quadrature Domains Makoto Sakai, Kawasaki, Japan Mathematics in Contents: Introduction and main results; Finance Quadrature domains; Construction of Santiago Carrillo Menéndez measures for localization; Generalizations of the reflection theorem; Continuous and José Luis Fernández Pérez, reflection property and smooth boundary Universidad Autónoma de points; Proofs of (1) and (3) in Theorem Madrid, Spain, Editors 1.1; Corners with right angles; Properly open cusps; Microlocalization and the local-reflection theorem; This volume contains survey papers on Modifications of measures in R+; Modifications of measures in mathematical finance based on some R−; Sufficient conditions for a cusp to be a laminar-flow point; courses given at the “Lluís Santaló” Turbulent-flow points; The set of stationary points; Open questions; Summer School of the Real Sociedad Bibliography; Symbol index; Index. Matemática Española, held in July 2007 at the Universidad Memoirs of the American Mathematical Society, Volume 206, Internacional Menéndez Pelayo, Santander (Spain). The primary Number 969 topics are pathwise approximations of stochastic differential equations, Hedge funds, and credit derivatives. June 2010, 269 pages, Softcover, ISBN: 978-0-8218-4810-4, The paper by L. Seco and F. Chen provides a systematic survey LC 2010012474, 2000 Mathematics Subject Classification: 31Axx; of hedge funds from a rigorous mathematical point of view.
Load more

Recommended publications
  • A Brief Summary of My Researches
    A Brief Summary of My Researches Kefeng Liu My research interest is to solve problems from mathematics and physics with simple and clean ideas, and along the way to learn and to ¯nd new math- ematical structures and theories. Localization techniques in various settings, combining with various subjects of mathematics, have played central roles in my researches. See my ICM lecture [38] for more detailed discussions. I divide my past researches into the following several parts: (1). The applications of modular invariance, the in¯nite dimensional sym- metry in Kac-Moody algebras and mathematical physics, to geometry and topology. From modular invariance we derived several quite general rigid- ity, divisibility and vanishing results about certain topological invariants of a manifold. (2). The use of the explicit expressions of heat kernels on Lie groups to study the geometry and topology of moduli spaces of flat connections on Riemann surfaces, this proves certain conjectural formulas of Witten and gives several new results including general vanishing formulas of intersection numbers. (3). The understanding of mirror symmetry and counting curves on pro- jective manifolds. My joint work with Lian and Yau solves some very general conjectures about the relationship between the numbers of algebraic curves in projective manifolds and hypergeometric series. (4). The proof of the Marino-Vafa conjecture on Hodge integrals on mod- uli spaces of Deligne-Mumford curves, which expresses the generating series of three term Hodge integrals over all genera and any number of marked points in terms of a ¯nite expression of representation of symmetric groups, or Chern-Simons knot invariants.
    [Show full text]
  • Fifth International Congress of Chinese Mathematicians Part 1
    AMS/IP Studies in Advanced Mathematics S.-T. Yau, Series Editor Fifth International Congress of Chinese Mathematicians Part 1 Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Fifth International Congress of Chinese Mathematicians https://doi.org/10.1090/amsip/051.1 AMS/IP Studies in Advanced Mathematics Volume 51, Part 1 Fifth International Congress of Chinese Mathematicians Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Shing-Tung Yau, General Editor 2000 Mathematics Subject Classification. Primary 05–XX, 08–XX, 11–XX, 14–XX, 22–XX, 35–XX, 37–XX, 53–XX, 58–XX, 62–XX, 65–XX, 20–XX, 30–XX, 80–XX, 83–XX, 90–XX. All photographs courtesy of International Press. Library of Congress Cataloging-in-Publication Data International Congress of Chinese Mathematicians (5th : 2010 : Beijing, China) p. cm. (AMS/IP studies in advanced mathematics ; v. 51) Includes bibliographical references. ISBN 978-0-8218-7555-1 (set : alk. paper)—ISBN 978-0-8218-7586-5 (pt. 1 : alk. paper)— ISBN 978-0-8218-7587-2 (pt. 2 : alk. paper) 1. Mathematics—Congresses. I. Ji, Lizhen, 1964– II. Title. III. Title: 5th International Congress of Chinese Mathematicians. QA1.I746 2010 510—dc23 2011048032 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. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale.
    [Show full text]
  • Awards of ICCM 2013 by the Editors
    Awards of ICCM 2013 by the Editors academies of France, Sweden and the United States. He is a recipient of the Fields Medal (1986), the Crafoord Prize Morningside Medal of Mathematics in Mathematics (1994), the King Faisal International Prize Selection Committee for Science (2006), and the Shaw Prize in Mathematical The Morningside Medal of Mathematics Selection Sciences (2009). Committee comprises a panel of world renowned mathematicians and is chaired by Professor Shing-Tung Björn Engquist Yau. A nomination committee of around 50 mathemati- Professor Engquist is the Computational and Applied cians from around the world nominates candidates based Mathematics Chair Professor at the University of Texas at on their research, qualifications, and curriculum vitae. Austin. His recent work includes homogenization theory, The Selection Committee reviews these nominations and multi-scale methods, and fast algorithms for wave recommends up to two recipients for the Morningside propagation. He is a member of the Royal Swedish Gold Medal of Mathematics, up to two recipients for the Morningside Gold Medal of Applied Mathematics, and up to four recipients for the Morningside Silver Medal of Mathematics. The Selection Committee members, with the exception of the committee chair, are all non-Chinese to ensure the independence, impartiality and integrity of the awards decision. Members of the 2013 Morningside Medal of Mathe- matics Selection Committee are: Richard E. Borcherds Professor Borcherds is Professor of Mathematics at the University of California at Berkeley. His research in- terests include Lie algebras, vertex algebras, and auto- morphic forms. He is best known for his work connecting the theory of finite groups with other areas in mathe- matics.
    [Show full text]
  • Advanced Lectures in Mathematics (ALM)
    Advanced Lectures in Mathematics (ALM) ALM 1: Superstring Theory ALM 2: Asymptotic Theory in Probability and Statistics with Applications ALM 3: Computational Conformal Geometry ALM 4: Variational Principles for Discrete Surfaces ALM 6: Geometry, Analysis and Topology of Discrete Groups ALM 7: Handbook of Geometric Analysis, No. 1 ALM 8: Recent Developments in Algebra and Related Areas ALM 9: Automorphic Forms and the Langlands Program ALM 10: Trends in Partial Differential Equations ALM 11: Recent Advances in Geometric Analysis ALM 12: Cohomology of Groups and Algebraic K-theory ALM 13: Handbook of Geometric Analysis, No. 2 ALM 14: Handbook of Geometric Analysis, No. 3 ALM 15: An Introduction to Groups and Lattices: Finite Groups and Positive Definite Rational Lattices ALM 16: Transformation Groups and Moduli Spaces of Curves ALM 17: Geometry and Analysis, No. 1 ALM 18: Geometry and Analysis, No. 2 Advanced Lectures in Mathematics Volume XVIII Geometry and Analysis No. 2 Editor: Lizhen Ji International Press 浧䷘㟨十⒉䓗䯍 www.intlpress.com HIGHER EDUCATION PRESS Advanced Lectures in Mathematics, Volume XVIII Geometry and Analysis, No. 2 Volume Editor: Lizhen Ji, University of Michigan, Ann Arbor 2010 Mathematics Subject Classification. 58-06. Copyright © 2011 by International Press, Somerville, Massachusetts, U.S.A., and by Higher Education Press, Beijing, China. This work is published and sold in China exclusively by Higher Education Press of China. All rights reserved. Individual readers of this publication, and non-profit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research.
    [Show full text]
  • View This Volume's Front and Back Matter
    AMS/IP Studies in Advanced Mathematics S.-T. Yau, Series Editor Fifth International Congress of Chinese Mathematicians Part 2 Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Fifth International Congress of Chinese Mathematicians https://doi.org/10.1090/amsip/051.2 AMS/IP Studies in Advanced Mathematics Volume 51, Part 2 Fifth International Congress of Chinese Mathematicians Lizhen Ji Yat Sun Poon Lo Yang Shing-Tung Yau Editors American Mathematical Society • International Press Shing-Tung Yau, General Editor 2000 Mathematics Subject Classification. Primary 05–XX, 08–XX, 11–XX, 14–XX, 22–XX, 35–XX, 37–XX, 53–XX, 58–XX, 62–XX, 65–XX, 20–XX, 30–XX, 80–XX, 83–XX, 90–XX. All photographs courtesy of International Press. Library of Congress Cataloging-in-Publication Data International Congress of Chinese Mathematicians (5th : 2010 : Beijing, China) p. cm. (AMS/IP studies in advanced mathematics ; v. 51) Includes bibliographical references. ISBN 978-0-8218-7555-1 (set : alk. paper)—ISBN 978-0-8218-7586-5 (pt. 1 : alk. paper)— ISBN 978-0-8218-7587-2 (pt. 2 : alk. paper) 1. Mathematics—Congresses. I. Ji, Lizhen, 1964– II. Title. III. Title: 5th International Congress of Chinese Mathematicians. QA1.I746 2010 510—dc23 2011048032 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. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale.
    [Show full text]
  • Morningside Medals, the Chern Prizes, and the International Cooperation Awards Excerpts from the 2010 ICCM Booklet
    Morningside Medals, the Chern Prizes, and the International Cooperation Awards excerpts from the 2010 ICCM booklet A fundamental domain is related to the concept of a group, which can be used to express symmetry in Morningside medals of mathematics and mathematics. During the late 19th century, infinite dis- applied mathematics crete group was studied but only until the 20th century, The Morningside Medal of Mathematics is awarded to did it become a main subject area in mathematics. This outstanding mathematicians of Chinese descent to en- field of study is not only important in geometry but also courage them in their pursuit of mathematical truth. Up in number theory. Practically all the famous develop- to six medals, two gold and four silver, are awarded every ments in modern number theory are related to concepts three years at the International Congress of Chinese of fundamental domain and discrete group. Morningside Medals of Mathematics Selection Committee The selection committee for the Morningside Medal of Mathematics is chaired by Professor Shing-Tung Yau. A The Morningside Gold Medal awarded to Kefeng Liu in 2004 Mathematicians. The Morningside Medals also carry a cash award of US $25,000 for each of the gold medalists; and US $ 10,000 for each of the silver medalists. A com- mittee of internationally renowned mathematicians, chaired by Professor Shing-Tung Yau, selects the medal- ists. In addition to the name of medalists, each gold and silver medal has the image of a Möbius band and a fun- damental domain. They were chosen not only for the The Morningside Silver Medals awarded to Daqing Wan and simplicity of the image, but also because of their signifi- Chin-Lung Wang in 2001 cant contributions to the development of mathematics in 20th century.
    [Show full text]
  • Superstring Theory
    Advanced Lectures in Mathematics Volume I Superstring Theory Editors: Kefeng Liu, Shing-Tung Yau & Chongyuan Zhu International Press 高等教育出版社 www.intlpress.com HIGHER EDUCATION PRESS Kefeng Liu Chongyuan Zhu University of California at Los Chinese Academy of Sciences, Beijing Angeles Shing-Tung Yau Harvard University 2000 Mathematics Subject Classification. 83E30. Copyright 2008 by International Press, Somerville, Massachusetts, U.S.A., and by Higher Education Press, Beijing, China. This work is published and sold in China exclusively by Higher Education Press of China. No part of this work can be reproduced in any form, electronic or mechanical, recording, or by any information storage and data retrieval system, without prior approval from International Press. Requests for reproduction for scientific and/or educational purposes will normally be granted free of charge. In those cases where the author has retained copyright, requests for permission to use or reproduce any material should be addressed directly to the author. ISBN 978-1-57146-131-5 Typeset using the LaTeX system. Printed in the USA on acid-free paper. ADVANCED LECTURES IN MATHEMATICS Executive Editors Shing-Tung Yau Kefeng Liu Harvard University University of California, Los Angeles Lizhen Ji University of Michigan, Ann Arbor Editorial Board Chongqing Cheng Xiping Zhu Nanjing University Zhongshan University Nanjing, China Gangzhou, China Zhong-Ci Shi Tatsien Li Institute of Computational Fudan University Mathematics Shanghai, China Chinese Academy of Sciences Beijing, China Zhiying Wen Tsinghua University Zhouping Xin Beijing, China The Chinese University of Hong Kong Lo Yang Hong Kong, China Institute of Mathematics Chinese Academy of Sciences Weiping Zhang Beijing, China Nankai University Tianjin, China Preface In celebration of the opening of the Center of Mathematical Sci- ences at Zhejiang University, we held the 2002 String Theory Interna- tional Conference from August 12th to August 15th at the new Center.
    [Show full text]
  • Xiaokui Yang (July 11, 2018)
    Xiaokui Yang (July 11, 2018) Contact Academy of Mathematics and Systems Science, Chinese Academy of Sciences Information Email [email protected] Research differential geometry, complex algebraic geometry, geometric analysis Interests Education UCLA, PhD., 2012 Academic Appointments Professor March 2016 to present Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China Associate Professor July 2015 to March 2016 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China Boas Assistant Professor Semptember 2012 to July 2015 Northwestern University, Evanston, IL, USA Lecturer June 2012 to August 2012 UCLA, Los Angeles, CA, USA Grants Recruit Program for Global Young Experts (cZ<Oy), Principal Investigator, 2015–2017. Honour “¥IÆA­ïÄ ”(A­Z<â)§2017c" Preprints 33. Xiaokui Yang (joint with Kefeng Liu, Xueyuan Wan), Logarithmic vanishing the- orems for effective q-ample divisors. 32. Xiaokui Yang, RC-positive metrics on rationally connected manifolds. arXiv:1807.03510 31. Xiaokui Yang, RC-positivity, vanishing theorems and rigidity of holomorphic maps. arXiv:1807.02601 30. Xiaokui Yang (Joint with Jie He, Kefeng Liu), Levi-Civita Ricci flat metrics on compact complex manifolds. arXiv:1806.07206 1 of 6 29. Xiaokui Yang (joint with Duo Li, Wenhao Ou), On projective varieties with strictly nef tangent bundles. arXiv:1801.09191. 28. Xiaokui Yang (joint with Bing-Long Chen), On Euler characteristic and funda- mental groups of compact manifolds. arXiv:1711.03309 27. Xiaokui Yang, Scalar curvature, Kodaira dimension and Aˆ-genus. arXiv:1706.01122 26. Xiaokui Yang (joint with Chunle Huang, Kefeng Liu, Xueyuan Wan), Logarithmic vanishing theorems on compact K¨ahlermanifolds I.
    [Show full text]
  • Curriculum Vitae
    Curriculum Vitae Name: Chiu-Chu Melissa Liu Mailing address. Columbia University, Mathematics Department Room 623, Mail Code 4435, New York, NY 10027 Phone: (212) 854-2499 Fax: (212) 854-8962 E-mail Address: [email protected] Major Professional Interests. Algebraic Geometry, Symplectic Geometry Education. Institution Years Major Degree&Date National Taiwan University 1992-1996 Mathematics BS, June 1996 Harvard University 1997-2002 Mathematics PhD, June 2002 PhD thesis advisor: Shing-Tung Yau Pre-doctoral Awards, Honors, and Fellowships. • James K. Whittemore Scholarship at Harvard University, 1997-1998 • Joseph Leonard Walsh Fellowship at Harvard University, 1998-1999 Postdoctoral Awards, Honors, and Fellowships. • Junior Fellowship, Society of Fellows, Harvard University, 2002-2005 • Alfred P. Sloan Research Fellowship, 2007-2009 • Morningside Silver Medal, The 4th International Congress of Chinese Math- ematicians, 2007 Employment. • Junior Fellow, Society of Fellows, Harvard University, 2002 – 2005 • Assistant Professor, Northwestern University, 2005 – 2006 • Associate Professor, Northwestern University, 2006 – 2008 (with tenure) • Associate Professor, Columbia University, 2006 – present (tenured since July 2008) Teaching Experience. I. Undergraduate level: (1) Course Assistant of Applied Mathematics 106. Applied Algebra and Com- binatorics, Fall 1997, Harvard University (2) Teaching Fellow of Mathematics 21b. Linear Algebra and Differential Equa- tions, Spring 1998, Harvard University (3) Course Assistant of Mathematics 274. Mathematical Aspects of String The- ory, Fall 1999, Harvard University (Instructor: Cumrun Vafa) (4) Teaching Fellow of Mathematics 21a. Multivariable Calculus, Fall 2000, Fall 2001, Spring 2002, Harvard University (5) Instructor of Mathematics 290-3. MENU: Linear Algebra and Multivariable Calculus, Spring 2006, Northwestern University (6) Instructor of Math V1201. Calculus III, Fall 2006, Columbia University (7) Instructor of Math V1202.
    [Show full text]
  • Shing-Tung Yau with Commentary, Volume I ALM 29: Selected Expository Works of Shing-Tung Yau with Commentary, Volume II
    Advanced Lectures in Mathematics (ALM) ALM 1: Superstring Theory ALM 2: Asymptotic Theory in Probability and Statistics with Applications ALM 3: Computational Conformal Geometry ALM 4: Variational Principles for Discrete Surfaces ALM 6: Geometry, Analysis and Topology of Discrete Groups ALM 7: Handbook of Geometric Analysis, No. 1 ALM 8: Recent Developments in Algebra and Related Areas ALM 9: Automorphic Forms and the Langlands Program ALM 10: Trends in Partial Differential Equations ALM 11: Recent Advances in Geometric Analysis ALM 12: Cohomology of Groups and Algebraic K-theory ALM 13: Handbook of Geometric Analysis, No. 2 ALM 14: Handbook of Geometric Analysis, No. 3 ALM 15: An Introduction to Groups and Lattices: Finite Groups and Positive Definite Rational Lattices ALM 16: Transformation Groups and Moduli Spaces of Curves ALM 17: Geometry and Analysis, No. 1 ALM 18: Geometry and Analysis, No. 2 ALM 19: Arithmetic Geometry and Automorphic Forms ALM 20: Surveys in Geometric Analysis and Relativity ALM 21: Advances in Geometric Analysis ALM 22: Differential Geometry: Under the Influence of S.-S. Chern ALM 23: Recent Developments in Geometry and Analysis ALM 24: Handbook of Moduli, Volume I ALM 25: Handbook of Moduli, Volume II ALM 26: Handbook of Moduli, Volume III ALM 27: Number Theory and Related Areas ALM 28: Selected Expository Works of Shing-Tung Yau with Commentary, Volume I ALM 29: Selected Expository Works of Shing-Tung Yau with Commentary, Volume II Advanced Lectures in Mathematics Volume 28 Selected Expository Works of Shing-Tung
    [Show full text]
  • Zhiwei Wang: Curriculum Vitae
    Zhiwei Wang Beijing Normal University School of Mathematical Sciences Email: [email protected] No. 19, Xinjiekouwai Street Homepage: http://math0.bnu.edu.cn/∼wangzw Haidian District, Beijing 100875 Personal Born on January 5, 1986. Citizen of P. R. China. Research Interests Several complex variables and complex geometry Education B.S. Pure and Applied Mathematics, Anhui University, September 2003–July 2007. Ph.D. Mathematics, University of Chinese Academy of Sciences, September 2007–July 2014. Dissertation Advisor: Xiangyu Zhou Joint Ph.D. program, University of California at Los Angeles, September 2012–March 2014. Advisor: Kefeng Liu Employment September 2020–Present, Associate Professor, School of Mathematical Sciences, Beijing Normal Uni- versity July 2016–September 2020, Assistant Professor, School of Mathematical Sciences, Beijing Normal Uni- versity July 2014–June 2016, Postdoc, School of Mathematical Sciences, Peking University Mentor: Huijun Fan Grants BNU Grant, November 2016–October 2018. NSFC Grant (Grant No. 11701031), January 2018–December 2020. Beijing NSF Grant (Grant No. 1202012), January 2020–December 2022. NSFC Grant (Grant No. 12071035), January 2021–December 2024. Zhiwei Wang 2 Publications and Preprints Publications Joint with Fusheng Deng and Jiafu Ning, Characterizations of plurisubharmonic functions, arXiv:1910.06518. Sci China Math, 2021, 64, https://doi.org/10.1007/s11425-021-1873-y. Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, Linear invariants of complex manifolds and their plurisubharmonic variations, arXiv:1901.08920. JFA, 279 (2020) 108514. https://doi.org/10.1016/j.jfa.2020.108514. Joint with Xiangyu Zhou, CR eigenvalue estimate and Kohn-Rossi cohomology, arXiv:1905.03474. (Ac- cepted by Journal of Differential Geometry) Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, Holomorphic invariants of bounded do- mains, J.
    [Show full text]
  • Advanced Lectures in Mathematics (ALM)
    Advanced Lectures in Mathematics (ALM) ALM 1: Superstring Theory ALM 2: Asymptotic Theory in Probability and Statistics with Applications ALM 3: Computational Conformal Geometry ALM 4: Variational Principles for Discrete Surfaces ALM 6: Geometry, Analysis and Topology of Discrete Groups ALM 7: Handbook of Geometric Analysis, No. 1 ALM 8: Recent Developments in Algebra and Related Areas ALM 9: Automorphic Forms and the Langlands Program ALM 10: Trends in Partial Differential Equations ALM 11: Recent Advances in Geometric Analysis ALM 12: Cohomology of Groups and Algebraic K-theory ALM 13: Handbook of Geometric Analysis, No. 2 ALM 14: Handbook of Geometric Analysis, No. 3 ALM 15: An Introduction to Groups and Lattices: Finite Groups and Positive Definite Rational Lattices ALM 16: Transformation Groups and Moduli Spaces of Curves ALM 17: Geometry and Analysis, No. 1 ALM 18: Geometry and Analysis, No. 2 ALM 19: Arithmetic Geometry and Automorphic Forms ALM 20: Surveys in Geometric Analysis and Relativity ALM 21: Advances in Geometric Analysis ALM 22: Differential Geometry: Under the Influence of S.-S. Chern ALM 23: Recent Developments in Geometry and Analysis Advanced Lectures in Mathematics Volume XXIII Recent Developments in Geometry and Analysis edited by Yuxin Dong · Jixiang Fu · Guozhen Lu Weimin Sheng · Xiaohua Zhu International Press 浧䷘㟨十⒉䓗䯍 www.intlpress.com HIGHER EDUCATION PRESS Advanced Lectures in Mathematics, Volume XXIII Recent Developments in Geometry and Analysis Volume Editors: Yuxin Dong (Fudan University) Jixiang Fu (Fudan University) Guozhen Lu (Wayne State University) Weimin Sheng (Zhejiang University) Xiaohua Zhu (Peking University) Copyright © 2012 by International Press, Somerville, Massachusetts, U.S.A., and by Higher Education Press, Beijing, China.
    [Show full text]