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Arithmetic Algebraic Geometry

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The Bernstein's center and the local Langlands conjecture

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Cluster Algebras and Mirror Symmetry

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Around Satake isomorphism for affine Kac-Moody groups

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Analytic geometry of tropicalization, with applications to curves

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TBA

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Quantum cohomology of the moduli of framed sheaves

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Weak Maass forms and mock modular forms

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