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
- Centralizers in the Plactic Monoid (with Bruce E. Sagan), Combin. Theory, 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.
