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geometric representation theory, symplectic geometry

algebraic combinatorics, representation theory

number theory, algebraic geometry, topology, representation theory

integrable probability, random matrices, asymptotic representation theory, 2d statistical mechanics, interacting particle systems, high-dimensional statistics

physics, quantum mechanics, gravity, unified description of nature, string theory, quantum properties of black holes, geometry of spacetime, covariant entropy bound, cosmological constant

mathematics, model theory, applications to number theory

operator algebras, free probability theory, random matrices, K-theory of operator algebras, single operator theory