Topics In Cyclic Theory

This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

Mathematics Institute, these essays collectively provide mathematicians and physicists with a comprehensive resource on the topic.

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.

Introduction to homological mirror symmetry from the point of view of representation theory, suitable for graduate students.

For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.

Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.

Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

A clear and concise mathematical introduction to the subjects of inverse problems and data assimilation, and their inter-relations.