Research

1. A counterexample to DG version of Han's conjecture, arxiv, submitted
   joint with Yu Shen
2. On properness of finite cell dg algebras, submitted, preprint available upon request
   joint with Yu Shen
3. Picard group action on the category of twisted sheaves, arxiv, accepted by Journal of Noncommutative Geometry
   joint with Ting Gong and Yu Shen
4. A looming of phantom categories , arxiv, submitted
   joint with Kimoi Kemboi, Daniel Krashen, Tianle Liu, Eoin Mackall, Svetlana Makarova, Alexander Perry, Antonios-Alexandros Robotis, Sridhar Venkatesh
5. Geometric phantom categories do not admit Noetherian t-structures, arxiv, submitted
6. Stringy Chow rings and weighted blow ups, International Mathematics Research Notices, Volume 2026, Issue 3, February 2026
   joint with Qiangru Kuang, Rachel Webb, Weihong Xu
7. Morita theory on root gerbes, arxiv
   joint with Yu Shen, submitted
8. Stability conditions on surface root stacks, arxiv
   joint with Yu Shen, submitted
9. Effective cones of blow ups of P^n along a curve, arxiv, submitted
   joint with Ben Gould
10. Spherical vector bundles on nodal K3 surfaces, arxiv, submitted
11. Nonexistence of exceptional bundles on P^3 with maximal possible ranks, Journal of Algebra, Volume 695, 2026, Pages 283-310
12. Cohomology of spherical vector bundles on K3 surfaces, arxiv, preprint is being polished
13. Higher rank Brill-Nother thoery on P^2, International Mathematics Research Notices, Volume 2023, Issue 24, December 2023
    joint with Ben Gould and Woohyung Lee