Slides from Recent Talks
- Representation Theory through Parking Functions (UWM Graduate Student Colloquium)
Publications, Preprints, and Selected Slides
Topics:
- A Pollak Proof for the Number of Weakly Increasing Parking Functions
(with J. C. Martínez Mori, P. E. Harris).
Discrete Mathematics & Theoretical Computer Science, to appear. [arXiv:2511.20796] - Kronecker Coefficients, Crystals, and Bitableaux
(with N. Harman).
preprint. [arXiv:2507.14026] [Slides, SSMC Jun 6, 2024 (20min survey talk)] - Costello Divisibility: Exploration of a Comedic Division Algorithm
(with S. Thiel).
The College Mathematics Journal, 1–10. [pdf] - The defective parking space and defective Kreweras numbers
(with R. E. Garcia, P. E. Harris, A. Moon, A. Ortiz, L. J. Quesada, C. M. Rivera Sánchez, D. A. Williams II).
Discrete Mathematics, to appear. [arXiv:2405.14635] - The support of Kostant's weight multiplicity formula is an order ideal in the Bruhat order
(with P. X. Anderson, E. Banaian, M. J. Ferreri, O. C. Goff, K. P. Hadaway, P. E. Harris, K. J. Harry, Nick Mayers, S. Wang).
Journal of Combinatorics, to appear. [arXiv:2412.16820] [Slides, UW Madison Combinatorics Seminar Jan 27, 2025] - Centralizers in the Plactic Monoid
(with B. E. Sagan).
Proceedings of FPSAC 2025, Sém. Lothar. Combin. 93B (2025), 12pp. - Centralizers in the Plactic Monoid
(with B. E. Sagan).
Semigroup Forum (2025). [arXiv:2410.20460] [GitHub] - Coloring Groups
(with B. 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] [Slides, AMS Eastern Fall Sectional 2024] - A Diagram-Like Basis for the Multiset Partition Algebra
Algebraic Combinatorics, Volume 7 (2024) no. 4, pp. 1225-1259. [arXiv:2307.01353] [Slides, UW Milwaukee Colloquium Feb 14, 2025] - 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.
Pictures
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A lexicographic bitableau decomposed into three skew shapes. This decomposition corresponds to a restriction of a $\mathfrak{gl}_{3\cdot2}$-crystal structure to a $\mathfrak{gl}_2$-crystal structure. From Kronecker Coefficients, Crystals, and Bitableaux -
A poset illustrating a recursive structure of Weyl alternation sets in type A From The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order -
My coauthors' (facetious) reviews of Kostant's weight multiplicity formula. The study of the Weyl alternation set is meant to address the last comment about how large the Weyl groups are to sum over. From The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order