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large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, phylogenetics & historical linguistics

theoretical computer science, random matrices, geometry of polynomials

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

probability theory, statistical mechanics

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

fragmentation, statistics, mathematics, Brownian motion, distribution theory, path transformations, stochastic processes, local time, excursions, random trees, random partitions, processes of coalescence

computational complexity, quantum computing, pseudorandomness, derandomization, complexity theory