My research interests include representation theory, combinatorics, and applied algebra, but I am interested in all areas of math, physics, and science in general. I've done research in the differential geometry of minimal submanifolds, Hilbert series for representations of Lie superalgebras, facet volumes of polytopes and the polytope inequality (which generalizes the triangle inequality), algebraic statistics of logarithmic Voronoi cells, shelling orders of matroid polytopes, tensegrity frameworks and their catastrophe discriminants, branching rules for representations of the general linear group to the symmetric group, and representations in spaces of harmonic polynomials.
