Jaeseong Oh

collaborators

3 papers

math.CO2026

Toward Butler's conjecture

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

For a partition $I^½$ , let $I^», I^¼ \subseteq I^½$ be two distinct partitions such that $∣ I^½/ I^»∣ = ∣ I^½/ I^¼∣ = 1$ . Butler conjectured that the divided difference $\operatorname{I}_{Î»,Î¼}[X;q…

math.CO2025

Zigzags, contingency tables, and quotient rings

Jaeseong Oh, Brendon Rhoades

Let $x_{k \times p}$ be a $k \times p$ matrix of variables and let $F [x_{k \times p}]$ be the polynomial ring in these variables. Given two weak composit…

math.CO2025

Shuffle formula in science fiction for Macdonald polynomials

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

We initiate the study of the Macdonald intersection polynomials $I_{I^¼^{(1)}, \dots, I^¼^{(k)}} [X; q, t]$ , which are indexed by $k$ -tuples of partitions $Î¼^{(1)},\dots,Î…