This volume contains 14 cutting-edge research articles on algebraic and analytic aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on geometric and topological aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject.

This volume contains articles representing the courses given at the 2005 RSME Santalo Summer School on 'Recent Trends in Cryptography'. The topics cover come of the most interesting developments in public key and symmetric key cryptography such as paring based cryptography and lattice based cryptanalysis."

Two meetings of the AMS in the autumn of 1989 - one at the Stevens Institute of Technology and the other at Ball State University - included Special Sessions on the role of p-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in p-adic methods.

This volume contains 14 articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented including asymptotic analysis, conformal mapping, and much more.

Deals with various topics in singularity theory and its applications. This book discusses such topics as invariants of singularities, integral closure and equisingularity, classification theory, contact structures and vector fields, and Thom polynomials.

Toric topology is the study of algebraic, differential, symplectic-geometric, combinatorial, and homotopy-theoretic aspects of a particular class of torus actions whose quotients are highly structured. This book contains the proceedings of the Internationa

A collection of articles by speakers at the conference "Poisson 2006: Poisson Geometry in Mathematics and Physics", which was held June 5-9, 2006, in Tokyo, Japan. This volume also contains lectures by the principal speakers of the three-day school held at

The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. These papers aim to elucidate the problems that remain. They also explain what tools have recently become available to solve the problems.

This book is devoted to progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep subject as well as two important developments, tropical geometry and the theory of log schemes.

Based on two special sessions held at the AMS Annual Meeting in New Orleans in January 2007, and a satellite workshop held in Baton Rouge on January 4-5, 2007, this text consists of invited expositions that together represent a broad spectrum of fields, stressing connections between areas that are normally thought of as disparate.