Research

1. Cartan Determinants in algebraic geometry
   Preprint available upon request
   Joint with Yu Shen and Ziyu Zhang.
2. A counterexample to a global-dimension bound for weighted projective lines
   arXiv:2608.23981
   Joint with Bochao Kong and Yu Shen.
3. A counterexample to Han's conjecture
   arXiv:2608.00177 · submitted
   Joint with Bochao Kong and Yu Shen.
4. A counterexample to DG version of Han's conjecture
   arXiv:2512.12460 · submitted
   Joint with Yu Shen.
5. Picard group action on the category of twisted sheaves
   Journal of Noncommutative Geometry, 2026, published online first
   Joint with Ting Gong and Yu Shen.
6. A looming of phantoms
   Advances in Mathematics, Volume 499 (2026), Article 111046
   Joint with Kimoi Kemboi, Daniel Krashen, Tianle Liu, Eoin Mackall, Svetlana Makarova, Alexander Perry, Antonios-Alexandros Robotis, and Sridhar Venkatesh.
7. Geometric phantom categories do not admit Noetherian t-structures
   arXiv:2503.02052 · submitted
8. Stringy Chow rings and weighted blow ups
   International Mathematics Research Notices, Volume 2026, Issue 3, February 2026
   Joint with Qiangru Kuang, Rachel Webb, and Weihong Xu.
9. Morita theory on root gerbes
   arXiv:2409.20317 · submitted
   Joint with Yu Shen.
10. Stability conditions on surface root stacks
    arXiv:2407.19104 · submitted
    Joint with Yu Shen.
11. Cones of effective cycles on blow ups of projective spaces along rational curves
    arXiv:2308.13964v1 · submitted
    Joint with Benjamin Gould.
12. Spherical vector bundles on nodal K3 surfaces
    arXiv:2307.00091v1 · submitted
13. Nonexistence of exceptional bundles on P³ with maximal possible ranks
    Journal of Algebra, Volume 695 (2026), 283–310
14. The cohomology of spherical vector bundles on K3 surfaces
    arXiv:2210.11030v2 · preprint is being polished
15. Higher rank Brill–Noether theory on P²
    International Mathematics Research Notices, Volume 2023, Issue 24, December 2023, 22096–22137
    Joint with Benjamin Gould and Woohyung Lee.