European Congress of Mathematics
Stockholm, June 27 – July 2, 2004
Editors
Ari Laptev
Royal Institute of Technology, Stockholm, Sweden

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pp. ix–xvi Front Matterpp. v–viii Contentspp. 3–22 Structure of Null Sets in the Plane and ApplicationsGiovanni AlbertiMarianna CsörnyeiDavid Preiss
pp. 23–40 Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group FactorizationsDenis Auroux
pp. 41–59 Harmonic Measure on Fractal SetsD. BeliaevStanislav Smirnov
pp. 61–71 Singular Approximations to Hyperbolic Systems of Conservation LawsStefano Bianchini
pp. 73–94 Representation Theory and Random Point ProcessesAlexei BorodinGrigori Olshanski
pp. 95–101 Stability of Relaxation Models for Conservation LawsFrançois Bouchut
pp. 103–115 Hyperbolic 3-manifolds and the Geometry of the Curve ComplexBrian H. Bowditch
pp. 117–120 Proof of an Intersection Theorem via Fourier AnalysisEhud Friedgut
pp. 121–139 Nonlinear Schrödinger Equations on Compact ManifoldsPatrick Gérard
pp. 141–154 A Probabilistic Approach to Some Problems in von Neumann AlgebrasAlice Guionnet
pp. 155–172 Singular Elements of Affine Kac–Moody GroupsStefan HelmkePeter Slodowy
pp. 173–200 On the Camassa–Holm and Hunter–Saxton equationsHelge Holden
pp. 201–220 Multiple Scales Asymptotics for Atmospheric FlowsRupert KleinEileen MikuskyAntony Owinoh
pp. 221–232 Proof ComplexityJan Krajícek
pp. 233–246 Horizontal Configurations of Points in Link ComplementsDaan Krammer
pp. 247–256 Invariant Measures for Multiparameter Diagonalizable Algebraic Actions - A Short SurveyElon Lindenstrauss
pp. 257–268 Phase Transition Phenomena in Random Discrete StructuresTomasz Łuczak
pp. 269–282 Systems Controlled by Rough PathsTerry J. Lyons
pp. 283–308 The Stable Mapping Class Group and Stable Homotopy TheoryJørgen Ellegaard AndersenMichael Weiss
pp. 309–324 A Non-asymptotic Theory for Model SelectionPascal Massart
pp. 325–340 Reflection, Bernoulli Numbers and the Proof of Catalan's ConjecturePreda Mihailescu
pp. 341–364 F-thresholds and Bernstein–Sato PolynomialsMircea MustaţăShunsuke TakagiKei-ichi Watanabe
pp. 365–380 Hyperkähler Manifolds and Algebraic GeometryKieran G. O'Grady
pp. 381–390 SumsetsImre Z. Ruzsa
pp. 391–424 Measurable Group TheoryYehuda Shalom
pp. 425–444 Some Mathematical Problems of Neural Networks TheoryM. Shcherbina
pp. 445–458 Zeroes of Gaussian Analytic FunctionsMikhail Sodin
pp. 459–476 Painlevé's Problem, Analytic Capacity and Curvature of MeasuresXavier Tolsa
pp. 477–500 Regularization Techniques for Singular Source Terms in Differential EquationsAnna-Karin Tornberg
pp. 501–514 Equilibrium Measures and PolynomialsVilmos Totik
pp. 515–528 SLE, Conformal Restriction, LoopsWendelin Werner
pp. 529–546 On the Integral Points on Certain Algebraic VarietiesUmberto Zannier
pp. 549–554 Some Problems Related with Holomorphic Functions on Tube Domains over Light ConesAline Bonami
pp. 555–560 Hyperbolic PDEs, Kinetic Formulation, Geometric Measure TheoryYann Brenier
pp. 561–572 Random Dynamics in Spatially Extended SystemsFrank den Hollander
pp. 573–596 Analysis and Operators 2000-2004 - Four Years of Network ActivityJean Esterle
pp. 597–618 Analysis of the Bottom of the Spectrum of Schrödinger Operators with Magnetic Potentials and ApplicationsBernard Helffer
pp. 619–624 Mathematical Aspects of Quantum ChaosJ.P. Keating
pp. 625–642 The Research Training Network “Algebraic Combinatorics in Europe”Christian Krattenthaler
pp. 643–654 Algebras with Involution and Adjoint GroupsMarina Monsurrò
pp. 655–668 Constructing Algebraic Varieties via Commutative AlgebraMiles Reid
pp. 669–680 Mathematical Problems of Large Quantum SystemsRyszard Nest
pp. 681–696 The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEMJakob Stix
pp. 699–718 Hydrodynamic LimitsFrançois Golse
pp. 719–732 Mathematical Aspects of Mean Field Spin Glass TheoryFrancesco Guerra
pp. 733–750 Complexity Theory, Proofs and ApproximationJohan Håstad
pp. 751–768 Random Surfaces Enumerating Algebraic CurvesElliott H. Lieb
pp. 769–782 On Heegaard Diagrams and Holomorphic DisksPeter S. OzsváthZoltán Szabó
pp. 783–786 Emergence of Symmetry: Conformal Invariance in Scaling Limits of Random SystemsMichael H. Freedman
pp. 787–807 Recent Progresses in Kähler and Complex Algebraic GeometryClaire Voisin
pp. 811–826 Isoperimetric Inequalities, Probability Measures and Convex GeometryFranck Barthe
pp. 827–836 Symplectic Topology and Algebraic FamiliesPaul Biran
pp. 837–850 Vortices in the Ginzburg-Landau Model of SuperconductivitySylvia Serfaty
pp. 851–860 Validated Numerics for PedestriansWarwick Tucker
pp. 861–879 From Classical to Non-commutative Iwasawa Theory: An Introduction to the Main ConjectureOtmar Venjakob