Donggun Lee

activity

20242026

collaborators

5 papers

math.AG2026

Chow and cohomology rings of moduli stacks of plane quartics

Kenneth Ascher, Donggun Lee

This paper studies the Chow and cohomology rings of the Hacking moduli stack $P^{H}$ of plane quartics. We construct a smooth proper Deligne--Mumford stack resol…

math.AG2025

Characteristic polynomial of $M_{0, n}$ and log-concavity

Jinwon Choi, Young-Hoon Kiem, Donggun Lee

Motivated by Stanley's generalization of the chromatic polynomial of a graph to the chromatic symmetric function, we introduce the characteristic polynomial of a representation of…

math.AG2025

Geometry of regular semisimple Lusztig varieties

Patrick Brosnan, Jaehyun Hong, Donggun Lee

Lusztig varieties are subvarieties in flag manifolds $G / B$ associated to an element $w$ in the Weyl group $W$ and an element $x$ in $G$ , introduced in Lusztig's papers on character…

math.AG2024

Recursive algorithm and log-concavity of representations on the cohomology of $M_{0, n}$

Jinwon Choi, Young-Hoon Kiem, Donggun Lee

We provide a programmable recursive algorithm for the $S_{n}$ -representations on the cohomology of the moduli spaces $M_{0, n}$ of $n$ -pointed stable curv…

math.AG2024

Automorphisms and deformations of regular semisimple Hessenberg varieties

Patrick Brosnan, Laura Escobar, Jaehyun Hong +4

We show that regular semisimple Hessenberg varieties can have moduli. To be precise, suppose $X$ is a regular semisimple Hessenberg variety of codimension $1$ in the flag variety $…

Chow and cohomology rings of moduli stacks of plane quartics

Characteristic polynomial of M0,n​ and log-concavity

Geometry of regular semisimple Lusztig varieties

Recursive algorithm and log-concavity of representations on the cohomology of M0,n​

Automorphisms and deformations of regular semisimple Hessenberg varieties

Characteristic polynomial of $M_{0, n}$ and log-concavity

Recursive algorithm and log-concavity of representations on the cohomology of $M_{0, n}$