Faculty
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Geometric and nonlinear analysis
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extended thermodynamics, hyperbolic systems, plasma modelling
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Hodge theory, Perverse sheaves, HIlbert schemes of singular curves, Compactified jacobians of algebraic curves, Higgs
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mathematical physics, statistical mechanics, disordered and complex systems, spin glasses, monomer- dimer models,
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I am interested in applications of Combinatorics to: Representation Theory, Commutative Algebra, Algebraic Geometry,
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Complex Algebraic Geometry, Irreducible Holomorphic symplectic Manifolds
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Fully nonlinear degenerate elliptic PDE's, Subelliptic PDE's, SubRiemannian structures
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simplicial volume, bounded cohomology, geometric group theory, topology of manifolds
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sums of squares of vector fields, hypoellipticity, a priori estimates, pseudodifferential operators
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asymptotic behavior, thermo-viscous-elastic plate, phase transition , porous-thermo-elasticity, thermodynamics,
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Lie and Noether Symmetries
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matroids, arrangements, cohomology, configuration spaces