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An Initiation to Logarithmic Sobolev Inequalities

Homotopy Theory of Schemes

Moduli Spaces of Curves, Mapping Class Groups and Field Theory

Complex Dynamics and Geometry

Complex Tori and Abelian Varieties

The Schur Algorithm, Reproducing Kernel Spaces and System Theory

P-adic L-functions and P-adic Representations

Symmetric Functions, Schubert Polynomials and Degeneracy Loci

Dynamical Properties of Diffeomorphisms of the Annulus and of the Torus

Asymptotically Symmetric Einstein Metrics

Thermodynamic Formalism and Holomorphic Dynamical Systems

The Hyperbolization Theorem for Fibered 3-manifolds

Hamiltonian Systems and Their Integrability

Introduction to Hodge Theory

Mirror Symmetry