Seung-Jin Lee

activity

20112024

most citedBack stable Schubert calculus

52 citations · 61 across the 10 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

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.CO2022★ 2 cited

Explicit formulas for e-positivity of chromatic quasisymmetric functions

Seung Jin Lee, Sue Kyong Y. Soh

In 1993, Stanley and Stembridge conjectured that a chromatic symmetric function of any $(3 + 1)$ -free poset is $e$ -positive. Guay-Paquet reduced the conjecture to $(3 + 1)$ - and $(2+2)…

Toward Butler's conjecture

Haglund's conjecture for multi-t Macdonald polynomials

Explicit formulas for e-positivity of chromatic quasisymmetric functions

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