Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice - J. Fröhlich: Mathematical Aspects of the Quantum Hall Effect - M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings - U. Hamenstädt: 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 Differential Equations - I. Madsen: The Cyclotomic Trace in Algebraic K-Theory - A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology - J. Nekovár: Values of L-Functions and p-Adic Cohomology - Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups - M.A. Nowak: The Evolutionary Dynamics of HIV Infections - R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons - A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods - A. Schrijver: Paths in Graphs and Curves on Surfaces - B. Silverman: Function Estimation and Functional Data Analysis - V. Strassen: Algebra and Complexity - P. Tukia: Generalizations of Fuchsian and Kleinian Groups - C. Viterbo: Properties of Embedded Lagrange Manifolds - D. Voiculescu: Alternative Entropies in Operator Algebras - M. Wodzicki: Algebraic K-Theory and Functional Analysis - D. Zagier: Values of Zeta Functions and Their Applications