Jaeseong Oh

activity

20192026

most citedOn linearization coefficients of

q

-Laguerre polynomials

2 citations · 4 across the 11 of their papers we have counts for

collaborators

13 papers

math.CO2026

Chromatic symmetric functions for annular webs

Jaeseong Oh, Seokbeom Yoon

We introduce a combinatorial definition of chromatic symmetric functions for annular webs. We prove their symmetry by constructing a web analogue of the Shareshian--Wachs involutio…

math.CO2026

Haglund--Haiman--Loehr formula via Carlsson--Mellit Algebra

Younggwang Cho, Jaeseong Oh

We prove a Haglund--Haiman--Loehr type combinatorial formula for the torus fixed point classes $I_{μ, w}$ in the equivariant $K$ -theory $K_{\mathbb{C}^{*}\times\mathbb{C}^{*}}(\oper…

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.CO2023★ 1 cited

Shuffle formula in science fiction for Macdonald polynomials

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

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

math.CO2022

Toward Butler's conjecture

Donghyun Kim, Seung Jin Lee, Jaeseong Oh

For a partition $ν$ , let $λ, μ \subseteq ν$ be two distinct partitions such that $∣ ν / λ ∣ = ∣ ν / μ ∣ = 1$ . Butler conjectured that the divided difference $\operatorname{I}_{λ,μ}[X;q,t]=(T_λ\w…

math.CO2022

Haglund's conjecture for multi- $t$ Macdonald polynomials

Seung Jin Lee, Jaeseong Oh, Brendon Rhoades

We provide new approaches to prove identities for the modified Macdonald polynomials via their LLT expansions. As an application, we prove a conjecture of Haglund concerning the mu…

math.CO2021★ 1 cited

A combinatorial model for the transition matrix between the Specht and web bases

Byung-Hak Hwang, Jihyeug Jang, Jaeseong Oh

We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between…

math.CO2021

Macdonald polynomials and cyclic sieving

Jaeseong Oh

The Garsia--Haiman module is a bigraded $S_{n}$ -module whose Frobenius image is a Macdonald polynomial. The method of orbit harmonics promotes an $S_{n}$ -set $X$ …

math.CO2020

Cyclic sieving and orbit harmonics

Jaeseong Oh, Brendon Rhoades

Orbit harmonics is a tool in combinatorial representation theory which promotes the (ungraded) action of a linear group $G$ on a finite set $X$ to a graded action of $G$ on a polyn…

math.CO2020

Dualities and reciprocities on graphs on surfaces

Woo-Seok Jung, Jaeseong Oh

We extend the duality between acyclic orientations and totally cyclic orientations on planar graphs to dualities on graphs on orientable surfaces by introducing boundary acyclic or…

math.CO2020★ 2 cited

On linearization coefficients of $q$ -Laguerre polynomials

Byung-Hak Hwang, Jang Soo Kim, Jaeseong Oh +1

The linearization coefficient $L (L_{n_{1}} (x) \dots L_{n_{k}} (x))$ of classical Laguerre polynomials $L_{n} (x)$ is known to be equal to the number of $(n_{1}, \dots, n_{k})$ -derangeme…

math.CO2019

A 2-isomorphism theorem for delta-matroids

Iain Moffatt, Jaeseong Oh

Whitney's 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. We present an analogue of this theorem for graphs embedded in surfaces by characterisi…