I'm now working on the construction of cluster algebra structures on quantum cohomology rings and quantum K-ring of quiver varieties and the modularity of Gromov-Witten theory. I'm also interested in the mirror symmetry of nonabelian varieties.
Preprints
Quantum Cohomology Rings and Cluster algberas: D-type. (In progress,joint with Weiqiang He)
Seiberg Duality conjecture for general quivers with potentials. (In progress, joint with Yaoxiong Wen).
Quantum Cohomology Rings and Cluster algberas: A-type. arXiv:2501.00394
Gromov-Witten Theory of An-type quiver varieties and Seiberg Duality, arXiv: 2112.11812.
Modularity of open-closed GW invariants of K_{P^2}/μ_3, arXiv:1811.10743.
Publications
Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten theory for D-type quivers, (Joint with Weiqiang He), International Mathematics Research Notices, Volume 2025, Issue 13, July 2025.
Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds, (Joint with Yongbin Ruan and Jie Zhou). Commun. Math. Phys. 398, pages 757–796 (2023).
Open Gromov-Witten Theory of KP2 , KP1×PP1 , KWP[1,1,2], KF1 and Jacobi Forms. (Joint with Bohan Fang, Yongbin Ruan, Jie Zhou). Commun. Math. Phys., Volume 369, Issue 2, pp.675-719.