Table of Contents of Volume I Invited Lectures (Part 1) -- Plenary Lectures -- The Vassiliev Theory of Discriminants and Knots -- Transparent Proofs and Limits to Approximation -- Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 -- Gauge Theory and Four-Manifold Topology -- Spectral Theory and Geometry -- Pattern Theory: A Unifying Perspective -- Brownian Motion and Obstacles -- Geometric Quantization and Equivariant Cohomology -- Parallel Lectures -- The Power of Exponentiation in Arithmetic -- Subspace Arrangements -- Optimal Recovery of Functions and Integrals -- Existence globale et diffusion pour les modรจles discrets de la cinรฉtique des gaz -- Sporadic Groups and String Theory -- A Harmonic Analysis Approach to Problems in Nonlinear Partial Differential Equations -- (Some) Old and New Results on Algebraic Surfaces -- Evidence for a Cohomological Approach to Analytic Number Theory -- Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow -- Index of Authors of Volumes I and II