Rod Downey, Algorithmic randomness and computability

Itay Neeman, Determinacy and large cardinals

Michael Rathjen, The art of ordinal analysis

Thomas Scanlon, Analytic difference rings

Simon Thomas, Borel superrigidity and the classification problem for the torsion-free Abelian groups of finite rank

William Crawley-Boevey, Quiver algebras, weighted projective lines, and the Deligne-Simpson problem

Marcus du Sautoy and Fritz Grunewald, Zeta functions of groups and rings

Bernhard Keller, On differential graded categories

Raphaël Rouquier, Derived equivalences and categorification

Mark Sapir, Algorithmic and asymptotic properties of groups

Ákos Seress, A unified approach to computations with permutation and matrix groups

Agata Smoktunowicz, Some results in noncommutative ring theory

Manjul Bhargava, Higher composition laws and applications

Ching-Li Chai, Hecke orbits as Shimura varieties in positive characteristic

Henri Darmon, Heegner points, Stark-Heegner points, and values of L-series

Kazuhiro Fujiwara, Galois deformation and arithmetic geometry of Shimura varieties

Ben Green, Generalising the Hardy-Littlewood method for primes

Gérard Laumon, Aspects géométriques du Lemme Fondamental de Langlands-Shelstad

Philippe Michel and Akshay Venkatesh, Equidistribution, L-functions, and ergodic theory: on some problems of Yu. Linnik

Wiesława Nizioł, p-adic motivic cohomology in arithmetic geometry

Chris Skinner and Eric Urban, Vanishing of L-functions and ranks of Selmer groups

Vinayak Vatsal, Special values of L-functions modulo p

Valery Alexeev, Higher-dimensional analogues of stable curves

Jean-Benoît Bost, Evaluation maps, slopes, and algebraicity criteria

Tom Bridgeland, Derived categories of coherent sheaves

Lawrence Ein and Mircea Mustață, Invariants of singularities of pairs

Tom Graber, Rational curves and rational points

Jun-Muk Hwang, Rigidity of rational homogeneous spaces

Tomohide Terasoma, Geometry of multiple zeta values

Yuri Tschinkel, Geometry over nonclosed fields

Jarosław Włodarczyk, Algebraic Morse theory and factorization of birational maps

Christoph Böhm and Burkhard Wilking, Manifolds with positive curvature operators are space forms

Simon Brendle, Elliptic and parabolic problems in conformal geometry

Ko Honda, The topology and geometry of contact structures in dimension three

Michael Kapovich, Generalized triangle inequalities and their applications

Bruce Kleiner, The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity

François Lalonde, Lagrangian submanifolds: from the local model to the cluster complex

Xiaobo Liu, Gromov-Witten invariants and moduli spaces of curves

Toshiki Mabuchi, Extremal metrics and stabilities on polarized manifolds

Grigory Mikhalkin, Tropical geometry and its applications

William P. Minicozzi II, Embedded minimal surfaces

Yong-Geun Oh and Kenji Fukaya, Floer homology in symplectic geometry and in mirror symmetry

Antonio Ros, Properly embedded minimal surfaces with finite topology

Chuu-Lian Terng, Applications of loop group factorization to geometric soliton equations

Ian Agol, Finitenesss of arithmetic Kleinian reflection groups

Martin R. Bridson, Non-positive curvature and complexity for finitely presented groups

Mikhail Khovanov, Link homology and categorification

Yair Minsky, Curve complexes, surfaces and 3-manifolds

Fabien Morel, A^1-algebraic topology

Kaoru Ono, Development in symplectic Floer theory

Peter Ozsváth and Zoltán Szabó, Heegaard diagrams and Floer homology

Karen Vogtmann, The cohomology of automorphism groups of free groups

Roman V. Bezrukavnikov, Noncommutative counterparts of the Springer resolution

Alexander Braverman, Spaces of quasi-maps into the flag varieties and their applications

Guy Henniart, On the local Langlands and Jacquet-Langlands correspondence

Nicolas Monod, An invitation to bounded cohomology

Bao-Châu Ngô, Fibration de Hitchin et structure endoscopique de la formule des traces

Eric M. Opdam, Hecke algebras and harmonic analysis

Peter Schneider, Continuous representation theory of p-adic Lie groups

Yehuda Shalom, The algebraization of Kazhdan's property (T)

David Soudry, Rankin-Selberg integrals, the descent method, and Langlands functoriality

Birgit Speh, Representation theory and the cohomology of arithmetic groups

Tonny A. Springer, Some results on compactifications of semisimple groups

Mario Bonk, Quasiconformal geometry of fractals

Steve Hofmann, Local Tb theorems and applications in PDE

Sergey V. Konyagin, Almost everywhere convergence and divergence of Fourier series

Linda Preiss Rothschild, Iterated Segre mappings of real submanifolds in complex space and applications

Stanislav Smirnov, Towards conformal invariance of 2D lattice models

Emil J. Straube, Aspects of the L^2-Sobolev theory of the \overline{\partial}-Neumann problem

Vladimir N. Temlyakov, Greedy approximations with regard to bases

Xavier Tolsa, Analytic capacity, rectifiability, and the Cauchy integral

Franck Barthe, The Brunn-Minkowski theorem and related geometric and functional inequalities

Bo'az Klartag, Isomorphic and almost-isometric problems in high dimensional convex geometry

Narutaka Ozawa, Amenable actions and applications

Mikael Rørdam, Structure and classification of C*-algebras

Stanislaw J. Szarek, Complexity, convexity, and the high dimension

Guoliang Yu, Higher index theory of elliptic operators and geometry of groups

Oleg N. Ageev, Spectral invariants in the modern ergodic theory

Vitaly Bergelson, Ergodic Ramsey theory: a dynamical approach to static theorems

Nikolai Chernov and Dmitry Dolgopyat, Hyperbolic billiards and statistical physics

Rafael de la Llave, Some recent progress in geometric methods for the instability problem in Hamiltonian mechanics

Manfred Einsiedler and Elon Lindenstrauss, Diagonalizable flows on locally homogeneous spaces and number theory

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2006 Madrid. All Rights Reserved.