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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
12
votes
Avatars of the ring of symmetric polynomials
Boson-Fermion correspondence in representation theory
of Kac-Moody algebras (this is implicit in Richard's comments).
Closely related to this: coordinates on the "big cell" in
the loop Grassmannian an …