My current interests lie in algebraic combinatorics, enumerative combinatorics and representation stability. I particularly enjoy using representation theory to better understand generally unruly objects in commutative algebra via combinatorics.
Research
Pattern avoidance and the fundamental bijection
with Kassie Archer arXiv (last updated 07/08/2024)Pattern restricted permutations of small order
with Kassie Archer Submitted arXiv (last updated 02/24/2024)Systems of ideals parametrized by combinatorial structures
with Andrew Snowden Submitted arXiv (last updated 04/07/2023)An antichain or monomial ideals in a twisted commutative algebra
Proc. Amer. Math. Soc., to appear arXiv (last updated 07/16/2021)Syzygies of P^1 x P^1: data and conjectures
with Juliette Bruce, Daniel Corey, Daniel Erman, Steve Goldstein, Jay Yang J. of Alg. 593 (2022), 598-621 arXiv (last updated 10/05/2019)Equivariant primes for infinite dimensional supergroups
with Andrew Snowden Trans. Amer. Math. Soc., to appear arXiv (last updated 10/05/2019)Representation stability for sequences of 0-Hecke modules
Alg. Comb. 4 (2021), no. 4, 619-661 arXiv (last updated 10/05/2019)Computing Schur complexes
with Michael K. Brown, Hang Huang, Michael Perlman, Claudiu Raicu, Steven V Sam, Joao Pedro Santos J. Softw. Alg. Geom. 9 (2019) 111-119 arXiv (last updated 11/18/2019)Syzygies of secant ideals of Plucker-embedded Grassmannians are generated in bounded degree
arXiv (last updated 3/23/2018)The spin-Brauer diagram algebra
J. Algebraic Comb. 50 (2019) 191–224 arXiv (last updated 11/6/2018)