Algebraic Geometry

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algebraic geometry, commutative algebra

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geometric representation theory

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algebraic geometry, derived categories, mirror symmetry

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algebraic geometry, moduli spaces, Gromov-Witten theory

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number theory, automorphic forms, Shimura varieties and related topics in arithmetric geometry

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commutative algebra, algebraic geometry

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p-adic Galois representations associated with algebraic varieties via étale cohomology, the connections between the latter and de Rham cohomology

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arithmetic algebraic geometry, number theory, arithmetic

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mathematical physics, algebraic topology, algebra, algebraic geometry