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I am a researcher in pure mathematics (Combinatorics with a representation-theoretical flavour). The Young tableaux, Gelfand-Tsetlin patterns and similar combinatorial objects is what I work with mostly, although my interest is quite broad.
Young tableau Schur polynomial Jack function Schubert polynomials Macdonald polynomials
Todo: Create this page Gelfand-Tsetlin polytope
Todo: Move Littlewood-Richardson coefficients to a separate page Littlewood-Richardson rule Littlewood–Richardson coefficient