Number Theory and Automorphic Forms

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algebraic number theory and random matrix theory

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automorphic forms, p-adic representations, combinatorial representation theory, statistical lattice models

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number theory, automorphic forms

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automorphic forms, L-functions, representations, harmonic analysis, number theory

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analysis, analytic number theory

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automorphic forms, L-functions, number theory, harmonic analysis, representation theory

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number theory, automorphic forms, Shimura varieties and related topics in arithmetric 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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computational complexity, cryptography, number theory, combinatorics, coding theory, analysis, probability theory, ecommerce, and economics of data networks

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arithmetic algebraic geometry, number theory, arithmetic