Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

Presents the proceedings of the Fourth Conference for African-American Researchers in the Mathematical Sciences held at the Center for Research on Parallel Computation at Rice University (Houston). This title includes talks and poster presentations that offer a perspective to the critical issues involving minority participation in mathematics.

Contains a selection of papers presented at an international conference on operator theory and its applications that was held in Winnipeg. This book illustrates that operator theory is the language of modern analysis and its applications.

Offers basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup structures, coverings and automorphisms. This book provides the background for the proof of the classification of the finite simple groups.

Explores the rich and complex structure of free lattices. This book presents an exposition of the basic theory of free lattices, projective lattices, and lattices which are bounded homomorphic images of a free lattice, as well as applications of these results to other areas.

Covers symmetries and integrability of difference equations and $q$-difference equations and the theory of special functions that occur as solutions of such equations. This book covers topics such as: Lie group and quantum group symmetries of difference and $q$-difference equations.

Presents a view about the experience of being a department head.

Reveals the rich collection of mathematical works located at the nation's first military school, the US Military Academy at West Point. This book outlines the relevant history of the Academy, discusses the mathematics department and curriculum, and describes the development of the library during the nineteenth century.

An exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the work on linear algebraic groups over arbitrary fields.

Features contributions in topology and representation theory that reflect the vigorous interactions between these areas. This work covers topics such as group theory, homotopy theory, cohomology of groups, and modular representations.

Explains the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'. This book emphasizes on the beautiful relationship between fractal functions (such as Weierstrass') and chaotic dynamical systems.

R L Dobrushin worked in several branches of mathematics (probability theory, information theory), but his deepest influence was on mathematical physics. He was one of the founders of the rigorous study of statistical physics. This title presents a collection that is devoted to the memory of R L Dobrushin.

Based on the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented the results on the theory of $C *$-algebras and von Neumann algebras, together with the work on the classification of $C *$-algebras.

Gives an axiomatic presentation of stable homotopy theory. This work starts with axioms defining a 'stable homotopy category'; using these axioms, one can make various constructions - cellular towers, Bousfield localization, and Brown representability, to name a few. It focuses on the study of the global structure of stable homotopy categories.

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A selection of papers of I Piatetski-Shapiro. It includes many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms and automorphic $L$-functions.

Offers an account of the present state of the art in pseudoperiodic topology - a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. This book provides topics that include the theory of algorithms, convex integer polyhedra, Morse inequalities, and real algebraic geometry.

What is Spin? Spin is a general tool for the specification and formal verification of software for distributed systems. This DIMACS volume presents the papers contributed to the second international workshop that was held on the Spin verification system at Rutgers University in August 1996.

A book of problems that is intended for students in pure and applied mathematics. It contains problems in traditional areas of probability theory and problems in the theory of stochastic processes, which has wide applications in the theory of automatic control, queuing and reliability theories, and in many modern science and engineering fields.

Features articles that constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. This title is suitable for those interested in activity at the frontiers of mathematical quantum theory.