Research
Published Work:
- Matthew Satriano, Ron Cherny, and Yohan Song. On the Algebra Generated by Three Commuting Matrices: Combinatorial Cases. The Electronic Journal of Combinatorics, Volume 31, Issue 4 (2024). pdf
- Ron Cherny, Tam An Le Quang, Matthew Satriano. On combinatorial algebras generated by three commuting matrices. arxiv
In Progress:
- Ron Cherny, Oliver Pechenik, and Stephan Pfannerer. Arboreal Webs and Arboreal Tableaux. Describing gluing of arbitrary rank web diagrams and showing it preserves the desired property $\mathrm{prom}_\bullet = \mathrm{trip}_\bullet$.
Talks
- On extending the framework of the first rotation-invariant $U_q(sl_4)$ web basis to higher rank, via studying promotion permutations and extracting structural information about the webs. Presented at CanaDAM 2025 in the Web Graphs session. Slides
- On the Gerstenhaber problem, asking whether the dimension of the algebra generated by three commuting $n \times n$ matrices is less than $n$. Presented at the Algebraic and Enumerative Combinatorics Seminar at the University of Waterloo. Slides