Interests
My research interests are mainly centered around algebraic combinatorics and commutative algebra, especially problems that have applications to representation theory and algebraic geometry. Some combinatorial objects I like thinking about are
- Symmetric functions
- Kazhdan-Lusztig polynomials
- Numerical semigroups
Publications
- (with P. Pylyavskyy, S. Wang) The Stanley-Stembridge Conjecture for 2+1+1 Avoiding Unit Interval Orders: A Diagrammatic Proof arXiv:2404.07280
- (with C. Brower, C. O'Neill) Numerical Semigroups, Polyhedra, and Posets IV: Walking the Faces of the Kunz Cone (submitted) arXiv:2401:06025
- (with A. Almousa, S. Grate, D. Huang, P. Klein, A. LaClair, Y. Luo) The MatrixSchubert package for Macaulay2 (submitted) arXiv:2312.07393
- (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) (2023) 79-98 arXiv:2110.10618
- (with T. Kulhanek, V. Ponomarenko) Dilated floor functions that commute sometimes. The PUMP Journal of Undergraduate Research 2 (2019) 107-117