Algebraic Topology

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hyperbolic geometry, low-dimensional topology, geometric group theory, and arithmetic groups

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algebraic topology, K-theory

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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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Mathematics education, algebraic topology

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Homotopy theory, algebraic K-theory, category theory, algebraic topology, applied category theory

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mathematical physics, algebraic topology, algebra, algebraic geometry

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representation theory of groups and algebras, algebraic topology, combinatorics, category theory

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algebraic topology and its applications