Table of contents: Plenary Lectures - V.I. Arnold: The Vassiliev Theory of Discriminants and Knots - L. Babai: Transparent Proofs and Limits to Approximation - C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 - S.K. Donaldson: Gauge Theory and Four-Manifold Topology - W. Muller: Spectral Theory and Geometry - D. Mumford: Pattern Theory: A Unifying Perspective - A.-S. Sznitman: Brownian Motion and Obstacles - M. Vergne: Geometric Quantization and Equivariant Cohomology - Parallel Lectures - Z. Adamowicz: The Power of Exponentiation in Arithmetic - A....

Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice - J. Frohlich: Mathematical Aspects of the Quantum Hall Effect - M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings - U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations - M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology - S.B. Kuksin: KAM-Theory for Partial Differential Equations - M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results - J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial...

Kids can get into many shenanigans. Do you remember when you were a kid? What adventures did you get up to out of boredom, jealousy, sibling rivalry, and the world just not working as we would like it? As for Hi' Tone, Runt, and Delvira (our kids and a cat) there are numerous opportunities for shenanigans they can get into, and do for the same reasons, you did as a kid. Therefore, we welcome you to take the journey into Hi' Tone and his friend's lives and world as they go through their adventures.