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set theory, large cardinals, inner model theory, infinite combinatorics

algebra, combinatorics

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

theoretical computer science, probability theory, combinatorics, complex networks, statistical physics, artificial intelligence, applications of artificial intelligence and machine learning in engineering and sciences

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

mathematical logic

mathematical logic

mathematics, algebraic geometry, commutative algebra, computation