I am primarily interested in algebraic combinatorics, which aims to answer questions about algebraic structures through the use of combinatorial objects like graphs or tableaux. In particular, I apply these techniques to the area of representation theory.
Slides
- SSMC Jun 6, 2024: Crystal Structures on Bitableaux (20min survey talk) [slides]
- GOCC Feb 15, 2023: A Diagram-Like Basis for the Multiset Partition Algebra [video] [slides]
- JMM Jan 5, 2023: A Diagram-Like Basis for the Multiset Partition Algebra [slides]
Publications and preprints
- The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order (with Portia X. Anderson, Esther Banaian, Melanie J. Ferreri, Owen C. Goff, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Nicholas Mayers, Shiyun Wang), preprint [arXiv:2412.16820]
- Centralizers in the Plactic Monoid (with Bruce E. Sagan), Semigroup Forum, submitted [arXiv:2410.20460] [GitHub]
- Coloring Groups (with Ben Adenbaum), Discrete Mathematics & Theoretical Computer Science, vol. 26:2 (2024) [arXiv 2312.03092] [GitHub]
- Super Multiset RSK and a Mixed Multiset Partition Algebra, Electronic Journal of Combinatorics. 31 (2024), no. 4, Paper No. 4.45. [arXiv 2308.07238] [GitHub]
- A Diagram-Like Basis for the Multiset Partition Algebra, Algebraic Combinatorics, Volume 7 (2024) no. 4, pp. 1225-1259. [arXiv 2307.01353]
- The Multiset Partition Algebra: Diagram-Like Bases and Representations. Ph.D. Thesis, Dartmouth College 2023 [pdf]
- Closed Forms of Recursive Polynomials and Applications (with M. Haver, K. Lee, W. McDermott, W. Yu, A. Zeleke), Ars Combinatoria, 142 (2019), 175-195.
