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High Risk Scenarios and Extremes : A Geometric Approach

Integer Points in Polyhedra

Nonlinear Discrete Optimization : An Algorithmic Theory

Randomly Forced Nonlinear PDEs and Statistical Hydrodynamics in 2 Space Dimensions

Calogero-Moser Systems and Representation Theory

Fukaya Categories and Picard-Lefschetz Theory

Geometric Invariant Theory and Decorated Principal Bundles

Compactness and Stability for Nonlinear Elliptic Equations

Invariant Manifolds and Dispersive Hamiltonian Evolution Equations

Rectifiable Sets, Densities and Tangent Measures

Hyperbolic Flows

Lectures on Partial Hyperbolicity and Stable Ergodicity

Non-Linear Elliptic Equations in Conformal Geometry

Topics in Occupation Times and Gaussian Free Fields

From Quantum to Classical Molecular Dynamics : Reduced Models and Numerical Analysis

Geometric Numerical Integration and Schrodinger Equations

Invitation to Topological Robotics

Asymptotic Theory of Transaction Costs

From Newton to Boltzmann: Hard Spheres and Short-range Potentials

The Monge-Ampere Equation and Its Applications

Lectures on Representations of Surface Groups

Lecture Notes on Cluster Algebras

Coulomb Gases and Ginzburg - Landau Vortices

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