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math.CO2026
Cyclic Sieving for Staircase Plane Partitions via Crystals and Electrical Networks
Sam Hopkins, Jesse Kim, Stephan Pfannerer
The paper proves a cyclic sieving phenomenon for the promotion action on height‑two staircase plane partitions, using spin crystal representations and the bush basis of the electri…
math.CO2025
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…
math.CO2024
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 $…