Algebraic topology

Symplectic and Poisson geometry

Noncommutative algebraic geometry

Mathematical physics

Calculus 2 (Fall 2023)

Ordinary Differential Equations (Spring 2024)

Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry (with Liu, Yu and Zeng), J. Geom. Phys. 189 (2023) 104829.

Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras (with A. Eshmatov, F. Eshmatov and Liu), Selecta Math. (N.S.) 28 (2022), no. 3, Paper No. 62.

On transitive action on quiver varieties (with A. Eshmatov, F. Eshmatov and A. Tikaradze), Int. Math. Res. Notices (IMRN) Vol. 2022, No. 10, pp. 7694–7728.

 Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras (joint with Y. Chen, F. Eshmatov and S. Yang), J. Noncommut. Geom. 15 (2021), 889–918.

Calabi-Yau algebras and the noncommutative shifted symplectic structure (with Eshmatov), Adv. Math. 367 (2020) 107126.

 Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras (with Eshmatov and Liu), J. Geom. Phys. 147 (2020) 103522.

The shifted Poisson structure on derived representation schemes of Koszul Calabi-Yau algebras (with Y. Chen, A. Eshmatov and F. Eshmatov), Acta Sci. Natur. Univ. Sunyatseni 59 (2020), no. 5, 1–18.

A second order scheme for variable coefficient two-point value problems with non-fitting mesh and its application to tumor growth problems (with Sweidan and Zheng), J. Comput. Appl. Math. 376 (2020) 112874.

Summer School in Integrable Systems Related to Reflection Groups in Algebra, Geometry and Topology (July 1-15, 2024, New Uzbekistan University)

National Natural Science Foundation of China (No. 12271377) Some problems in non- commutative algebraic geometry and derived algebraic geometry, 2023–2026.