Jesse Kim
Jesse Kim
I am a postdoc at University of Florida. I completed my Ph.D. at UC San Diego with Brendon Rhoades. My research lies in the intersection of combinatorics and representation theory, and my thesis introduced a new web basis for certain irreducible modules of the symmetric group.
Publications
Rotation-invariant webs for three-row flamingo Specht modules. Preprint, 2024.
An embedding of the skein action for set partitions into the skein action for matchings. Electronic Journal of Combinatorics, 2024.
The combinatorics of supertorus sheaf cohomology. Journal of Geometry and Physics, 2023. With Brendon Rhoades and Jeff Rabin.
A pentagonal number theorem for tribone tilings. Electronic Journal of Combinatorics, 2023. With James Propp.
A combinatorial model for the fermionic diagonal coinvariant ring. Combinatorial Theory, 2023.
Set partitions, fermions, and skein relations. International Math Research Notices, 2022. With Brendon Rhoades.
Simplicial dollar game. Electronic Journal of Combinatorics, 2022. With David Perkinson.
Many associated primes of powers of primes. Journal of Pure and Applied Algebra, 2019. With Irena Swanson
Jacobi-Trudi determinants over finite fields. Annals of Combinatorics, Volume 22 2018. With Ben Anzis, Shuli Chen, Yibo Gao, Zhaoqi Li,and Rebecca Patrias.
Talks
Fermions, skein relations, and web bases. UC Davis Algebra and Discrete Math Seminar, UMN Combinatorics Seminar, 2023. Slides
Web bases and noncrossing set partitions. UCSD combinatorics seminar. 2023
A skein action embedding. Graduate online combinatorics colloquium. 2022
Degree of simplicial complex divisors. AMS special session on Chip Firing and Divisor Theory. Hartford, CT. 2019.
CV (Last updated July 2024)