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My interests are in algebraic combinatorics. My work is in symmetric function theory, Macdonald polynomials, and representation theory. I am particularly interested in algebras of operators on symmetric functions, their combinatorial expansions, and their connections to algebraic or geometric structures.
I received a PhD in Mathematics at UC San Diego in 2019, and my thesis advisor was Adriano Garsia.
I am currently an Assistant Professor at Minnesota State University, Mankato.
I was previously a postdoc at the University of Vienna under the guidance of Anton Mellit. Before that, I was an NSF Postdoc at the University of Pennsylvania with Jim Haglund; and I was a UC President's Postdoc at UC San Diego with Brendon Rhoades.
A few selected papers and preprints:
A few selected papers and preprints:
Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients (with J. J. Wen), arXiv:2505.15606, (2025). arXiv
Tesler identities for wreath Macdonald polynomials (with J. J. Wen), arXiv:2505.01732, (2025). arXiv
On Macdonald expansions of q-chromatic symmetric functions and the Stanley–Stembridge Conjecture (with S. T. Griffin, A. Mellit, K. Weigl, and J. J. Wen), arXiv:2504.06936, (2025). arXiv
Delta and Theta Operator Expansions (with A. Iraci), Forum of Mathematics, Sigma, 12 (2024), e30. The article.
New identities for Theta operators (with M. D’Adderio), Trans. Amer. Math. Soc., 376 (2023), 5775-5807. The article.
The super nabla operator (with F. Bergeron, J. Haglund, and A. Iraci), arXiv:2303.00560, (submitted 2024). The preprint.
Contact:
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AT mnsu dot edu
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