My research is in algebraic combinatorics, focused particularly on symmetric function theory and combinatorial representation theory.
Publications:
Extremal subsets and atom-positivity. To appear in Sém. Lothar. Combin. (2025). arXiv:2310.14584.
Super major index and Thrall's problem (with Joshua P. Swanson). Alg. Comb. Vol. 8 no. 3 (2025), pp. 795-815. arXiv:2411.04302.
Kohnert's rule for flagged Schur modules (with Sami Assaf, Grant Bowling, and Henry Ehrhard). J. Algebra 617 (2023), pp. 352–381. arXiv:2012.05382.
A proof of the n!/2 conjecture for hook shapes. Ann. Comb. Vol. 27 no. 4 (2022) pp. 819-832. arXiv:2203.15146.
Transition matrices between Young's natural and seminormal representations (with Tom Halverson). Electron. J. Combin. 28 no. 3 (2021), Paper No. 3.15, 34 pp. arXiv:2012.03828.
Conference proceedings:
On a super version of Thrall's problem. To appear in Sém. Lothar. Combin. (2025).
Foata-like bijections and science fiction. Sém. Lothar. Combin. 89B (2023) Article #78, 10 pp.
Preprints:
Primeness of generalized parking functions (with Joanne Beckford, Dillon Hanson, Naomi Krawzik, Olya Mandelshtam, Lucy Martinez, and Catherine Yan). arXiv:2410.22232. Submitted.
Presentations:
On a super version of Thrall's problem (poster), Formal Power Series and Algebraic Combinatorics Conference, July 2025
Super major index and Thrall's problem, Combinatorial Algebra Meets Algebraic Combinatorics conference, January 2025
On a super version of Thrall's problem, AMS Western Sectional Meeting Special Session on Non-commutative Algebras in Representation Theory and Topology, October 2024
Primeness for generalized parking functions, USC Combinatorics Seminar, September 2024
Crystals for flagged Weyl modules, Graduate Student Combinatorics Conference, March 2024
Kohnert's rule for flagged Schur modules, Dartmouth College Combinatorics Seminar, January 2024 (virtual)
Kohnert's rule for flagged Schur modules, University of Oregon Algebra Seminar, November 2023
Extremal subsets and atom-positivity, University of Washington Combinatorics Seminar, November 2023
Kohnert's rule for flagged Schur modules, UC Berkeley Combinatorics Seminar, September 2023 slides
Extremal subsets and atom-positivity, USC Combinatorics Seminar, September 2023 slides
Foata-like bijections and science fiction (poster), Formal Power Series and Algebraic Combinatorics Conference, July 2023
Atom-positivity of crystal subsets, AMS Western Sectional Meeting Special Session on Combinatorics and Representation Theory, May 2023 slides
Atom-positivity of crystal subsets, Graduate Student Combinatorics Conference, March 2023
Canonical words for generalized dual equivalence classes, USC Combinatorics Seminar, March 2023 slides
My favorite polynomials in algebraic combinatorics, USC Graduate Colloquium, October 2022
Macdonald polynomials and the n!/k conjecture, USC Graduate Colloquium, November 2021
Transition matrices for Young's representations of the symmetric group, JMM Special Session on Research in Mathematics by Undergraduates, January 2019