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Advanced Lectures in Mathematics (ALM) book seriesfrom International Press of Boston Published jointly by International Press and by Higher Education Press of China, the Advanced Lectures in Mathematics (ALM) series brings the latest mathematical developments worldwide to both researchers and students. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. The ALM series emphasizes discussion of the history and significance of each topic discussed, with an overview of the current status of research, and presentation of the newest cutting-edge results. Volumes(For detailed information on any volume in the series, click on its title below.) Volume 20. Surveys in Geometric Analysis and RelativityRelease date: 31 December 2011 Edited by: Hubert L. Bray (Duke University), William P. Minicozzi II (Johns Hopkins University) Volume 19. Arithmetic Geometry and Automorphic FormsRelease date: 31 December 2011 Edited by: James Cogdell (Ohio State University at Columbus), Jens Funke (Durham University), Michael Rapoport (Universität Bonn), Tonghai Yang (University of Wisconsin at Madison) Volume 18. Geometry and Analysis, No. 2Release date: 13 July 2011 Edited by: Lizhen Ji (University of Michigan), Shing-Tung Yau (Harvard University) Volume 17. Geometry and Analysis, No. 1Release date: 13 July 2011 Edited by: Lizhen Ji (University of Michigan), Shing-Tung Yau (Harvard University) Volume 16. Transformation Groups and Moduli Spaces of CurvesRelease date: 13 July 2011 Edited by: Lizhen Ji (University of Michigan) Volume 15. An Introduction to Groups and Lattices: Finite Groups and Positive Definite Rational LatticesPublished: February 2011 Author: Robert L. Griess Jr. Rational lattices occur throughout mathematics, for example in quadratic forms, sphere packing, Lie theory and integral representations of finite groups. Studies of high-dimensional lattices typically involve number theory, linear algebra, codes, combinatorics and groups. This book presents a basic introduction to rational lattices, finite groups and the deep relationship between these two theories. Volume 14. Handbook of Geometric Analysis, No. 3Published: August 2010 Edited by: Lizhen Ji (University of Michigan), Peter Li (University of California, Irvine), Richard Schoen (Stanford University), Leon Simon (Stanford University) This handbook of geometric analysis - the third to be published in the ALM series - provides introductions to and surveys of important topics in geometric analysis and their applications to related fields. It can be used as a reference by graduate students and researchers. Volume 13. Handbook of Geometric Analysis, No. 2Published: August 2010 Edited by: Lizhen Ji (University of Michigan), Peter Li (University of California, Irvine), Richard Schoen (Stanford University), Leon Simon (Stanford University) This handbook of geometric analysis - the second to be published in the ALM series - provides introductions to and surveys of important topics in geometric analysis and their applications to related fields. It can be used as a reference by graduate students and researchers. Volume 12. Cohomology of Groups and Algebraic K-theoryPublished: March 2010 Edited by: Lizhen Ji (University of Michigan); Kefeng Liu (University of California at Los Angeles); Shing-Tung Yau (Harvard University) Cohomology of groups is a fundamental tool in many subjects of modern mathematics. One important generalized cohomology theory is the algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory, etc. This volume consists of expanded lecture notes from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad applications. Two foundational papers on algebraic K-theory by Daniel Quillen are also included. Volume 11. Recent Advances in Geometric AnalysisPublished: March 2010 Edited by: Yng-Ing Lee (National Taiwan University); Chang-Shou Lin (National Chung Cheng University); Mao-Pei Tsui (University of Toledo) This volume presents an account of recent advances in geometric analysis and related topics, including Ricci flow, affine normal flow, geometric analysis on pseudo-convex hypersurfaces, Alexandrov space, manifolds with special holonomy, and the singular plateau problem. These papers, many by leading experts in the field, are drawn from lectures presented at the 2007 International Conference in Geometric Analysis, held at Taiwan University. The present volume is intended for both researchers and graduate students studying geometric analysis and related areas. Volume 10. Trends in Partial Differential EquationsPublished: March 2010 Edited by: Baojun Bian (Tongji University); Shenghong Li (Zhejiang University); Xu-Jia Wang (The Australian National University) In a career of nearly sixty years of mathematical research, Guangchang Dong's influence on the development of partial differential equations in China has been immense, at both teaching and research levels. To celebrate Prof. Dong's eightieth birthday, an international conference called Elliptic and Parabolic Equations and Applications was held in August 2008 at Zhejiang University in Hangzhou, China. This volume presents fifteen papers in all -- some drawn from lectures given at the conference, others by his friends and former students. Volume 9. Automorphic Forms and the Langlands ProgramPublished: March 2010 Edited by: Lizhen Ji (University of Michigan); Kefeng Liu (University of California at Los Angeles); Shing-Tung Yau (Harvard University); Zhu-Jun Zheng (Henan University) Classical modular forms on the upper half plane, with respect to the modular group SL(2,Z) and its congruence subgroups, have arisen naturally in number theory, complex analysis, topology, mathematical physics, and many other subjects. The closely related automorphic representations are basic notions in the celebrated Langlands program, which was proposed by Langlands in the late 1960s and has since revolutionized the fields of number theory, arithmetic algebraic geometry, and representation theory. This volume consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program. Volume 8. Recent Developments in Algebra and Related AreasPublished: February 2009 Edited by: Chongying Dong (University of California, Santa Cruz); Fu-an Li (Chinese Academy of Sciences: Academy of Mathematics and Systems Science) This volume contains fifteen articles presented at the International Conference on Algebra and Related Areas held at Tsinghua University, Beijing, in August 2007. Some are surveys and others are research papers on topics including: algebraic geometry, combinatorics, coding theory, Lie algebras, representation theory of finite groups and algebraic groups, and vertex operator algebras, with their applications. This volume is intended for researchers and graduate students in algebra and related areas. Volume 7. Handbook of Geometric Analysis, No. 1Published: August 2008 Edited by: Lizhen Ji (University of Michigan), Peter Li (University of California, Irvine), Richard Schoen (Stanford University), Leon Simon (Stanford University) This handbook of geometric analysis—the first of the two to be published in the ALM series—presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas. Volume 6. Geometry, Analysis and Topology of Discrete GroupsPublished: August 2008 Edited by: Lizhen Ji (University of Michigan), Kefeng Liu (University of California at Los Angeles), Lo Yang (Chinese Academy of Sciences, Beijing), Shing-Tung Yau (Harvard University) This new volume presents 15 papers treating discrete groups as they occur in areas such as algebra, analysis, geometry, number theory, and topology. Most of the papers are surveys, and the volume is intended to help graduate students and researchers better understand the structures and applications of discrete subgroups of Lie groups and locally symmetric spaces. Volume 5. [This volume not published.]Volume 4. Variational Principles for Discrete SurfacesPublished: August 2008 Edited by: Junfei Dai (Center of Mathematical Sciences, Zhejiang Univ.), Xianfeng David Gu (SUNY Stony Brook), Feng Luo (Rutgers University) This new volume introduces readers to some of the current topics of research in the geometry of polyhedral surfaces, with applications to computer graphics. It provides a systematic introduction to the geometry of polyhedral surfaces based on the variational principle. Volume 3. Computational Conformal GeometryPublished: August 2008 Authors: Xianfeng David Gu (SUNY Stony Brook), Shing-Tung Yau (Harvard University) This new volume presents thorough introductions to the theoretical foundations—as well as to the practical algorithms—of computational conformal geometry. These have direct applications to engineering and digital geometric processing, including surface parameterization, surface matching, brain mapping, 3-D face recognition and identification, facial expression and animation, dynamic face tracking, mesh-spline conversion, and more. Volume 2. Asymptotic Theory in Probability and Statistics with ApplicationsPublished: April 2008 Edited by: Tze Leung Lai (Stanford University), Lianfen Qian (Florida Atlantic University), and Qi-Man Shao (University of Oregon) A collection of 18 papers, many of which are surveys, on asymptotic theory in probability and statistics, with applications to a wide variety of problems. This volume comprises three parts: limit theorems, statistics and applications, and mathematical finance and insurance. It is intended for graduate students in probability and statistics, and for researchers in related areas. Volume 1. Superstring TheoryPublished: August 2008 Edited by: Kefeng Liu (University of California at Los Angeles), Shing-Tung Yau (Harvard University), Chongyuan Zhu (Chinese Academy of Sciences, Beijing) Presents lectures from the important String Theory International Conference held in 2002 in Hangzhou, China. These include talks given by several mathematicians of particular prominence in the field, among them Stephen Hawking and Edward Witten. To orderTo order these titles from International Press:
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