My main research interests are in combinatorial problems that arise from algebraic geometry and representation theory. In particular, I have spent a lot of time thinking about Schubert calculus and the combinatorics of permutations and tableaux-adjacent objects (e.g. pipe dreams and bumpless pipe dreams). I have recently been working on problems surrounding the representation theory of Schubert modules.

Here is a list of my publications/preprints.
  • Differential Identities for Schubert Polynomials via Pipe Dreams (in preparation)
  • Pattern bounds for principal specializations of β-Grothendieck polynomials link pdf

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