My research interests are in algebraic combinatorics and representation theory, with a primary focus on problems related to modified Macdonald polynomials, generalized coinvariant rings, and tableaux combinatorics. My dissertation can be found here.
Representation Theoretic Bases for the $\Delta$-Springer module . arXiv:2509.24252 [math.CO] (2025).
Slides from a talk I gave at the CAGE seminar (September 2025).
A charge monomial basis of the Garsia-Procesi ring . Algebraic Combinatorics, Volume 8 (2025) no. 6. arXiv:2410.15514 [math.CO].
Slides from a talk I gave at CAAC (Combinatorial Algebra meets Algebraic Combinatorics) (January 2025)
Extended Abstract that appeared in FPSAC 2025 proceedings.
Polyhedral geometry of refined q,t-Catalan numbers (with Matthias Beck, Max Hlavacek, John Lentfer, Andrés R. Vindas-Meléndez, and Katie Waddle). arXiv:2407.21226 [math.CO] (2024)., Accepted to Journal of Combinatorics.
Generalized parking function polytopes (with John Lentfer and Andrés R. Vindas Meléndez). Annals of Combinatorics, 28 (2024). arXiv:2212.06885 [math.CO].