I am an algebraic geometer, interested in derived categories of sheaves, birational geometry, derived algebraic geometry, holomorphic symplectic geometry, enumerative geometry (e.g. Gromov-Witten/Donaldson-Thomas invariants), and related topics.
Preprints:
Stability conditions on projective families. (joint with Chunyi Li, Ziqi Liu, Emanuele Macrì, Alexander Perry, Paolo Stellari, and Xiaolei Zhao)
In preparation.
Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities. (joint with Tianle Mao)
In preparation. To appear very soon and available upon request.
Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves. (joint with Soheyla Feyzbakhsh, Naoki Koseki, and Nick Rekuski)
arXiv: 2509.24990, 36 pages. Submitted.
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.
Castelnuovo bound for curves in projective 3-folds.
arXiv: 2407.20161, 39 pages. Submitted.
Stability manifolds of Kuznetsov components of prime Fano threefolds. (joint with Changping Fan and Songtao Ma)
arXiv: 2310.16950, 19 pages. Submitted.
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.
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.
Publications：
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)
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)
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)
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)
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)
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)
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)
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)
Other writings:
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.