RESEARCH

I am an algebraic geometer, interested in derived categories of sheaves, mirror symmetry, birational geometry, derived geometry, holomorphic symplectic geometry, and related topics.

Publications：

1. Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves. (joint with Soheyla Feyzbakhsh, Naoki Koseki, and Nick Rekuski)

arXiv:2509.24990  Invent. Math., to appear.

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

arXiv:2406.19361  Proc. Lond. Math. Soc. 131 (2025), no. 2, Paper No. e70075. (link)

3. Irreducible symplectic varieties with a large second Betti number. (joint with Yuchen Liu and Chenyang Xu)

arXiv:2410.01566  J. Reine Angew. Math. (Crelle's journal) 825 (2025) 1-31. (link)

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

arXiv:2404.11598  Compos. Math. 161 (2025), 2091–2135. (link)

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

arXiv:2304.01321  J. Math. Pures Appl. (9) 191 (2024), Paper No. 103627. (link)

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

arXiv:2203.05442  Math. Res. Lett. 31 (2024), Number 4, 1061-1106. (link)

7. 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)

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

arXiv:2108.02946  J. Lond. Math. Soc. (2) 109 (2024), no.3, Paper No. e12878. (link)

9. 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), no.2, 803–837. (link)

Preprints:

1. Smoothness criterion for Fano orbifolds and bases of Lagrangian fibrations.

arXiv:2610.20496, 14 pages. Submitted.

2. Generalized Bogomolov-Gieseker inequalities via Frobenius. (joint with Chunyi Li, Alexander Perry, and Xiaolei Zhao)

arXiv:2610.18595, 45 pages.

3. Stability conditions and moduli spaces on projective families. (joint with Chunyi Li, Ziqi Liu, Emanuele Macrì, Alexander Perry, Paolo Stellari, and Xiaolei Zhao)

arXiv:2607.28411, 83 pages. Submitted.

4. The finite degree formula for normalized volumes.

arXiv:2607.27032, 20 pages. Submitted.

5. Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities. (joint with Tianle Mao)

arXiv:2605.13808, 114 pages. Submitted.

6. Double EPW cubes from twisted cubics on Gushel-Mukai fourfolds. (joint with Soheyla Feyzbakhsh, Hanfei Guo, and Shizhuo Zhang)

arXiv:2501.12964, 37 pages. Submitted.

7. Castelnuovo bound for curves in projective 3-folds.

arXiv:2407.20161, 39 pages. Submitted.

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

arXiv:2310.16950, 19 pages. Submitted.

9. 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.

10. Brill-Noether reconstruction of index one prime Fano threefolds. (joint with Augustinas Jacovskis and Shizhuo Zhang)

arXiv:2207.01021, 39 pages. Submitted.

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 improved and contained in an appendix of our new paper arXiv:2501.12964.