Interests
My research interests are mainly centered around algebraic combinatorics. I am particularly interested in the combinatorics of symmetric functions, and how results in that area can be applied to representation theory, commutative algebra, and algebraic geometry. Some combinatorial objects/keywords I like thinking about are
- Symmetric and quasisymmetric functions
- Crystal Graphs
- Hecke algebras and Kazhdan-Lusztig polynomials
- Numerical semigroups
Publications
Preprints
- (with P. Pylyavskyy, S. Wang) Kirillov-Reshetikhin dual equivalence graphs
[arxiv:2510.24990]
- (with P. Pylyavskyy, S. Wang) The Stanley-Stembridge conjecture for 2+1+1 avoiding unit interval orders: A diagrammatic proof
[arxiv:2404.07280]
Peer-reviewed publications
- (with C. Brower, C. O'Neill) Numerical semigroups, polyhedra, and posets IV: Walking the faces of the kunz cone.
Algebraic Combinatorics 8 (2025), no. 3 597-617.
[arxiv:2401:06025] [doi]
- (with A. Almousa, S. Grate, D. Huang, P. Klein, A. LaClair, Y. Luo) The MatrixSchubert package for Macaulay2.
Journal of Software for Algebra and Geometry 15 (2025) 41-55
[arxiv:2312.07393] [doi]
- (with C. Brower, S. Chapman, T. Kulhanek, C. O'Neill, V. Pavlyuk, V. Ponomarenko) Length density and numerical semigroups.
CANT 2021 Proceedings (Combinatorial and Additive Number Theory V) 79-98
[arxiv:2110.10618] [doi]
- (with T. Kulhanek, V. Ponomarenko) Dilated floor functions that commute sometimes.
The PUMP Journal of Undergraduate Research 2 (2019) 107-117
[doi]
Talks/Posters
- July 2026: FPSAC '26, University of Washington, Seattle (poster)
- June 2026: Student Combinatorics and Algebra Seminar, UMN
- March 2026: Combinatorics Seminar, UMN
- October 2025: Student Combinatorics and Algebra Seminar, UMN
- October 2025: AMS Southeastern Sectional (Tulane University)
- October 2024: Student Combinatorics and Algebra Seminar, UMN
- February 2024: Student Combinatorics and Algebra Seminar, UMN
- May 2022: AMS Western Sectional (Virtual)
- March 2022: SGPs Research Seminar, SDSU
- November 2021: SGPs Research Seminar, SDSU
- March 2021: SGPs Research Seminar, SDSU