Edited by: Carlo Gasbarri, Universite de Strasbourg, France, Steven Lu, Universite du Quebec a Montreal, Quebec, Canada, Mike Roth, Queen's University, Kingston, Ontario, Canada, and Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, NY

Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties

Contemporary Mathematics, Volume: 654
2015; 165 pp; softcover
ISBN-13: 978-1-4704-1458-0
Expected publication date is January 14, 2016.

This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathematiques, Universite de Montreal, Quebec, Canada.

The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation.

Readership

Graduate students and research mathematicians interested in Diophantine/arithmetic geometry, special varieties, and geometry of rational/holomorphic curves.

Table of Contents

Edited by: A. C. Cojocaru, University of Illinois at Chicago, IL, C. David, Concordia University, Montreal, Quebec, Canada, and F. Pappalardi, Universita degli Studi Roma Tre, Rome, Italy

CHOLAR--a Scientific Celebration Highlighting Open Lines of Arithmetic Research

Contemporary Mathematics, Volume: 655
2015; 256 pp; softcover
ISBN-13: 978-1-4704-1457-3
Expected publication date is January 14, 2016.

M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15-17, 2013, at the Centre de Recherches Mathematiques in Montreal.

This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, L-functions, modular forms and automorphic forms, sieve methods, and transcendental number theory.

Readership

Graduate students and research mathematicians interested in number theory.

Table of Contents

Guogen Shan

Exact Statistical Inference for Categorical Data

ISBN: 9780081006818
Format: Paperback

Details

Exact Statistical Inference for Categorical Data discusses the way asymptotic approaches have been often used in practice to make statistical inference. This book introduces both conditional and unconditional exact approaches for the data in 2 by 2, or 2 by k contingency tables, and is an ideal reference for users who are interested in having the convenience of applying asymptotic approaches, with less computational time. In addition to the existing conditional exact inference, some efficient, unconditional exact approaches could be used in data analysis to improve the performance of the testing procedure. * Demonstrates how exact inference can be used to analyze data in 2 by 2 tables* Discusses the analysis of data in 2 by k tables using exact inference* Explains how exact inference can be used in genetics

Author: Roger W. Brockett

Finite Dimensional Linear Systems

Part of Classics in Applied Mathematics
Date Published: August 2015
format: Paperback
isbn: 9781611973877

Description

Originally published in 1969, this classic textbook provides a solid foundation for learning about dynamical systems, and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for fifty years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much applied mathematical analysis, a firm grounding in its central ideas is essential. This book touches upon many standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of examples and many exercises. The book is recommended for first-year graduate students. The topics covered form the core of fields such as optimal control, estimation, stability, electrical networks, and control of distributed systems.

Table of Contents

Preface to the classics edition
Preface
1. Linear differential equations
2. Linear systems
3. Least squares theory
4. Stability
References
Glossary of notation
Index.


Editors:
David Eisenbud, University of California, Berkeley / Srikanth B. Iyengar, University of Utah
Anurag K. Singh, University of Utah / J. Toby Stafford, University of Manchester
Michel Van den Bergh, Fonds Wetenschappelijk Onderzoek , Belgium

Commutative Algebra and Noncommutative Algebraic Geometry
Volume 1. Expository Articles

Part of Mathematical Sciences Research Institute Publications

Date Published: November 2015
format: Hardback
isbn: 9781107065628

Description

In the 2012?13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the boundary between them has become increasingly blurred. This was apparent during the MSRI program, where there were a number of joint seminars on subjects of common interest: birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, and tilting theory, to name a few. These volumes reflect the lively interaction between the subjects witnessed at MSRI. The Introductory Workshops and Connections for Women Workshops for the two programs included lecture series by experts in the field. The volumes include a number of survey articles based on these lectures, along with expository articles and research papers by participants of the programs.

Contents