RESEARCH

I am interested in enumerative geometry (Gromov-Witten/Donaldson-Thomas invariants and related theories), derived algebraic geometry, Bridgeland stability conditions, hyper-Kähler manifolds, and related topics.

Publications and Preprints:

1.  Atomic sheaves on hyper-Kähler manifolds via Bridgeland moduli spaces. (joint with Hanfei Guo)

         arXiv: 2406.19361, 38 pages.

2.  Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds and double EPW cubes. (joint with Soheyla Feyzbakhsh, Hanfei Guo, and Shizhuo Zhang)

arXiv: 2404.11598, 62 pages. Submitted.

3. Stability manifolds of Kuznetsov components of prime Fano threefolds. (joint with Changping Fan and Songtao Ma)

arXiv: 2310.16950, 19 pages. Submitted.

4. New perspectives on categorical Torelli theorems for del Pezzo threefolds. (joint with Soheyla Feyzbakhsh and Shizhuo Zhang)

arXiv: 2304.01321, 35 pages. Submitted.

5.  Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds. (joint with Yongbin Ruan, with an appendix by Shuai Guo)

arXiv: 2210.13411, 31 pages. Submitted.

6. Brill-Noether theory for Kuznetsov components and refined categorical Torelli theorems for index one Fano threefolds. (joint with Augustinas Jacovskis and Shizhuo Zhang)  

arXiv: 2207.01021, 45 pages. Submitted.

7. Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces. (joint with Hanfei Guo and Shizhuo Zhang) 

arXiv: 2203.05442  To appear in Math. Res. Lett.

8. Infinitesimal categorical Torelli theorems for Fano threefolds. (joint with Augustinas Jacovskis, Xun Lin, and Shizhuo Zhang)

arXiv: 2203.08187  J. Pure Appl. Algebra 227 (2023), no.12, Paper No. 107418. (link)

9. Categorical Torelli theorems for Gushel-Mukai threefolds. (joint with Augustinas Jacovskis, Xun Lin, and Shizhuo Zhang) 

arXiv: 2108.02946  J. London Math. Soc., 109: e12878. (link)

10. A note on Bridgeland moduli spaces and moduli spaces of sheaves on X14 and Y3. (joint with Shizhuo Zhang) 

arXiv: 2106.01961  Math. Z. 302 (2022),803-837. (link)

Other writings:

1. A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples. (joint with Hanfei Guo and Shizhuo Zhang) 

arXiv: 2203.13091, 20 pages. This note will not be published, as the results are all contained in an appendix of our new expanded paper arXiv: 2404.11598.