RESEARCH
RESEARCH
I am an algebraic geometer, interested in derived categories of sheaves, birational geometry, derived algebraic geometry, holomorphic symplectic geometry, enumerative geometry, and related topics.
I am an algebraic geometer, interested in derived categories of sheaves, birational geometry, derived algebraic geometry, holomorphic symplectic geometry, enumerative geometry, and related topics.
Preprints:
Stability conditions and moduli spaces on projective families. (joint with Chunyi Li, Ziqi Liu, Emanuele Macrì, Alexander Perry, Paolo Stellari, and Xiaolei Zhao)
In preparation.
The finite degree formula for normalized volumes.
Available upon request, 20 pages.
Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities. (joint with Tianle Mao)
arXiv: 2605.13808, 114 pages. Submitted.
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 reconstruction of index one prime Fano threefolds. (joint with Augustinas Jacovskis and Shizhuo Zhang)
arXiv: 2207.01021, 39 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.