Research papers

Preprints and publications

1. Compact moduli of elliptic surfaces with a multiple fiber (with Yongnam Lee).
   Preprint, arxiv:2509.07467.

2. Characteristic polynomial of $\overline{\mathcal{M}}_{0,n}$ and log-concavity (with Jinwon Choi and Young-Hoon Kiem).
   Preprint, arXiv:2505.01087.

3. Geometry of regular semisimple Lusztig varieties (with Patrick Brosnan and Jaehyun Hong).
   Preprint, arXiv:2504.15868.

4. Recursive algorithm and log-concavity of representations on the cohomology of $\overline{\mathcal M}_{0,n}$ (with Jinwon Choi and Young-Hoon Kiem).
   Preprint, arXiv:2408.10728.

5. Automorphisms and deformations of regular semisimple Hessenberg varieties (with Patrick Brosnan, Laura Escobar, Jaehyun Hong, Eunjeong Lee, Anton Mellit and Eric Sommers).
   Preprint, arXiv:2405.18313.

6. Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials (with Young-Hoon Kiem).  
   Algebraic Combinatorics 7 (2024), no. 3, 861-886.

7. Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture (with Young-Hoon Kiem).
   Journal of Combinatorial Theory, Series A 206 (2024), 105884.

8. Representations on the cohomology of $\overline{\mathcal{M}}_{0,n}$ (with Jinwon Choi and Young-Hoon Kiem).
   Advances in Mathematics 435 (2023), 109364.

In preparation (with tentative titles)

1. Lusztig characters and Hessenberg characters (with Patrick Brosnan and Jaehyun Hong).

2. Cohomology of Hacking moduli space of quartic plane curves (with Kenneth Ascher).

3. Moduli of rational elliptic surfaces revisited (with Kenneth Ascher and Dori Bejleri).