My main research interests are in combinatorial problems that arise from representation theory and algebraic geometry 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 thinking about Schubert modules and their generalizations.

Here is a list of my publications/preprints.

1. Pattern expansions of permutation statistics (with Ian Cavey and Bridget Tenner) arXiv
2. Derivatives of padded Schubert polynomials through pipe dreams arXiv
3. Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams arXiv
4. Pattern bounds for principal specializations of β-Grothendieck polynomials link arXiv

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