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)