From the 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