My research explores the interplay between algebra and combinatorics. I specialize in combinatorial representation theory, which observes that we can gain insights into abstract mathematical structures by realizing them in more concrete ways. In recent years, I have become especially involved in an emerging area known as super-representation theory, a theory that uses a precise form of fudging to better understand problems that are known to be mathematically impossible. This new interest has also inspired me to study combinatorial Hopf algebras in more detail.
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Topics of interest: Representation theory, character theory, supercharacter theory, groups of Lie type, Hecke algebras, symmetric functions, Hopf algebras and monoids
