Bridgeland stability conditions on varieties:

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

In preparation.

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

In preparation. To appear very soon and available upon request.

3. 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.

Enumerative geometry:

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

arXiv: 2407.20161, 39 pages. Submitted.

2. 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.

Hyper-Kähler geometry and K3 categories:

1. 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.

2. 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)

3. 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)

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. 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)

Derived categories of Fano threefolds:

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

arXiv: 2310.16950, 19 pages. Submitted.

2. 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)

3. 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.

4. 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)

5. 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)

6. 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)