My research is primarily on symmetric functions with connections to representation theory and graph theory!

PAPERS:

Some positive Schur coefficients of claw-free graphs (with Margaret Bayer and Kyle Celano), in preparation.

Transition matrices for the permutation character basis for symmetric functions (with Rosa Orellana and Mike Zabrocki), in preparation.

Click here for slides from the AMS Fall 2026 Eastern Sectional!

Transition matrices for character bases of the symmetric group (with Rosa Orellana and Mike Zabrocki), Séminaire Lotharingien de Combinatoire, 95B (2026), Article #39, Proceedings of the 38th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Seattle, WA.

Kohnert posets and polynomials of northeast diagrams (with Aram Bingham, Kimberly P. Hadaway, Reuven Hodges, Yichen Ma, Alex Moon, and Kyle Salois), The Electronic Journal of Combinatorics, 33 (2026), no. 3, #P3.3.

(Project started at the 2024 GRWC at UW-Milwaukee. Click here for poster!)

Down-left graphs and a connection to toric ideals of graphs (with Jennifer Biermann, Marcella Manivel, Eden Petrucelli, and Adam Van Tuyl), Involve, a Journal of Mathematics, 18 (2025), no. 3, 437-458.

(Project started at the Hobart and William Smith Colleges REU in 2021. Click here for poster!)

Permutations of point sets in \mathbb{R}^d (with Alvaro Carbonero, Gary Gordon, Charles Kulick, Karie Schmitz, and Brittany Ohlinger), Australas. J. Combin., 86 (2023), no. 1, 97-135. 

(Project started at the Lafayette College REU in 2019. Click here for poster!)