Jesse Kim
I am a sixth year Ph. D. Candidate at the University of California, San Diego. My advisor is Brendon Rhoades, and study algebraic combinatorics. I am most recently interested in think about web bases and diagonal coinvariants. Contact me via email at jvkim (at) ucsd.edu.
Publications
An embedding of the skein action for set partitions into the skein action for matchings. Electronic Journal of Combinatorics, to appear 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 April 2023)