2 citations · 6 across the 10 of their papers we have counts for
11 papers
Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks
Sam Hopkins, Jesse Kim, Stephan Pfannerer
We prove a cyclic sieving result for the action of promotion on the staircase plane partitions of height two. Our proof has two major algebraic inputs: an interpretation of this pr…
Odd Shifted Parking Functions
Zachary Hamaker, Jesse Kim
Stanley recently introduced the shifted parking function symmetric function , which is the shiftification of Haiman's parking function symmetric function . The function…
Rotation invariant webs for three row flamingo Specht modules
Jesse Kim
We introduce a new rotation-invariant web basis for a family of Specht modules , indexed by normal plabic graphs satisfying a degree condition and resembling $…
The combinatorics of supertorus sheaf cohomology
Jesse Kim, Jeffrey M. Rabin, Brendon Rhoades
Affine superspace has a single bosonic coordinate and fermionic coordinates . Let be the supertorus obtained by quotienting $\m…
An embedding of the skein action on set partitions into the skein action on matchings
Jesse Kim
Rhoades defined a skein action of the symmetric group on noncrossing set partitions which generalized an action of the symmetric group on matchings. The -action on…
A pentagonal number theorem for tribone tilings
Jesse Kim, James Propp
Conway and Lagarias showed that certain roughly triangular regions in the hexagonal grid cannot be tiled by shapes Thurston later dubbed tribones. Here we study a two-parameter fam…
A combinatorial model for the fermionic diagonal coinvariant ring
Jesse Kim
Let and be two lists of variables and consider the diagonal action of on the exterior algebra $\wedge \{ Θ_…
Set partitions, fermions, and skein relations
Jesse Kim, Brendon Rhoades
Let and be two lists of variables and consider the diagonal action of on the exterior algebra $\wedge \{ Θ_…
Simplicial Dollar Game
Jesse Kim, David Perkinson
The dollar game is a chip-firing game introduced by Baker and Norine (2007) as a context in which to formulate and prove the Riemann-Roch theorem for graphs. A divisor on a graph i…
Many associated primes of powers of primes
Jesse Kim, Irena Swanson
We construct families of prime ideals in polynomial rings for which the number of associated primes of the second power (or higher powers) is exponential in the number of variables…
Jacobi-Trudi determinants over finite fields
Ben Anzis, Shuli Chen, Yibo Gao +3
In this paper, we work toward answering the following question: given a uniformly random algebra homomorphism from the ring of symmetric functions over the integers to a finite fie…