1982.09—1987.07 Bachelor’s degree, Department of Mathematics, University of Science and Technology of China, Hefei

1987.09—1990.03 Master’s degree, Department of Mathematics, University of Science and Technology of China, Hefei

1992.02—1993.10 Ph.D. degree, Department of Mathematics, University of Science and Technology of China, Hefei

1990.03—1994.01 Teaching assistant and Lecturer, Department of Mathematics, University of Science and Technology of China, Hefei

1990.06—1991.07 Visiting scholar, St. Petersburg Branch of the Steklov Mathematical Institute

1994.01—1995.10 Postdoc, Mathematics section, International Center for Theoretical Physics (ICTP), Trieste

1995.11—1997.11 Postdoc, Mathematical physics section, International School for Advanced Studies (SISSA), Trieste

1997.11—1999.11 JSPS Postdoc, Department of Mathematics, Kyoto University, Kyoto

1999.12—present Professor, Department of Mathematical Sciences, Tsinghua University, Beijing

Theory of nonlinear integrable systems and its applications in geometry and physics

1. Mathematical Analysis (II), Spring Semester, 2025

2. Mathematical Analysis (I), Fall Semester, 2025

1. Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies, Comm. Math. Phys. 406 (2025), 121 (with Si-Qi Liu, Haonan Qu)

2. Generalized Frobenius manifolds with non-flat unity and integrable hierarchies, Comm. Math. Phys. 406 (2025), 77. (with Si-Qi Liu, Haonan Qu)

3. On tautological flows of partial difference equations, Phys. D 472 (2025), 134533. (with Zhonglun Cao, Si-Qi Liu)

4. Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds, Adv. Math. 460 (2025), 110046. (with Si-Qi Liu, Zhe Wang)

5. Solutions of the loop equations of a class of generalized Frobenius manifolds, Comm. Math. Phys. 405 (2024), 225. (with Si-Qi Liu, Haonan Qu, Yuewei Wang)

6. Variational bihamiltonian cohomologies and integrable hierarchies III: Linear reciprocal transformations. Comm. Math. Phys. 403 (2023), 1109-1152. (with Si-Qi Liu, Zhe Wang)

7. Variational bihamiltonian cohomologies and integrable hierarchies I: Foundations. Comm. Math. Phys. 401 (2023), 985-1031. (with Si-Qi Liu, Zhe Wang)

8. The Virasoro-like algebra of a Frobenius manifold. Int. Math. Res. Not. IMRN (2023), 13524-13561. (with Si-Qi Liu, Di Yang, Jian Zhou)

9. On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions. Lett. Math. Phys. 112 (2022), 129. (with Si-Qi Liu, Di Yang, Chunhui Zhou)

10. Variational bihamiltonian cohomologies and integrable hierarchies II: Virasoro symmetries. Comm. Math. Phys. 395 (2022), 459-519. (with Si-Qi Liu, Zhe Wang)

11. The loop equation for special cubic Hodge integrals. J. Diff. Geom.121 (2022), 341-368. (with Si-Qi Liu, Di Yang, Chunhui Zhou)

12. Virasoro constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type. J. Lond. Math. Soc.(2) 106 (2022), 1443-1500. (with Si-Qi Liu, Chao-Zhong Wu).

13. Reduction of the 2D Toda hierarchy and linear Hodge integrals. SIGMA Symmetry Integrability Geom. Methods Appl. 18 (2022), 037. (with Si-Qi Liu, Zhe Wang)

14. Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy. Phys. D 433 (2022), 133180. (with Shuangxing Li, Si-Qi Liu, Haonan Qu)

15. The Hodge-FVH correspondence. J. Reine Angew. Math. 775 (2021), 259-300. (with Si-Qi Liu, Di Yang, Chunhui Zhou)

16. Super tau-covers of bihamiltonian integrable hierarchies. J. Geom. Phys. 170 (2021), 104351. (with Si-Qi Liu, Zhe Wang)

17. Hodge-GUE correspondence and the discrete KdV equation. Comm. Math. Phys. 379 (2020), 461-490. (with Boris Dubrovin, Si-Qi Liu, Di Yang)

18. Masur-Veech volumes of quadratic differentials and their asymptotics. J. Geom. Phys. 158 (2020), 103870. (with Di Yang, Don Zagier)

19. Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras. Comm. Math. Phys. 375 (2020), 785-832. (with Si-Qi Liu, Chao-Zhong Wu, Xu Zhou)

20. Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials. Adv. Math. 351 (2019), 897-946. (with Boris Dubrovin, Ian Strachan, Dafeng Zuo)

21. Bihamiltonian cohomologies and integrable hierarchies II: the tau structures. Comm. Math. Phys. 361 (2018), 467-524. (with Boris Dubrovin, Si-Qi Liu)

22. Fractional Volterra hierarchy. Lett. Math. Phys. 108 (2018), 261-283. (with Si-Qi Liu, Chunhui Zhou)

23. Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs. Adv. Math. 293 (2016), 382-435. (with Boris Dubrovin, Si-Qi Liu, Di Yang)

24. BCFG Drinfeld-Sokolov hierarchies and FJRW-theory. Invent. Math. 201 (2015), 711-772. (with Si-Qi Liu, Yongbin. Ruan)

25. Central invariants of the constrained KP hierarchies. J. Geom. Phys. 97 (2015), 177-189. (with Si-Qi Liu, Xu Zhou)

26. Proof of a conjecture on the genus two free energy associated to the A_n singularity. J. Geom. Phys. 76 (2014), 10-24. (with Yulong Fu, Si-Qi Liu, Chunhui Zhou)

27. Uniqueness theorem of W-constraints for simple singularities. Lett. Math. Phys. 103 (2013), 1329-1345. (with Si-Qi Liu, Di Yang)

28. Bihamiltonian cohomologies and integrable hierarchies I: A special case. Comm. Math. Phys. 324 (2013), 897-935. (with Si-Qi Liu)

29. On the genus two free energies for semisimple Frobenius manifolds. Russian J. Math. Phys. 19 (2012), 273-298. (with Boris Dubrovin, Si-Qi Liu)

30. The inversion symmetry of the WDVV equations and tau functions. Physica D 241 (2012), 2168-2177. (with Si-Qi Liu, Dingdian Xu)

31. Jacobi structures of evolutionary partial differential equations. Adv. Math. 227 (2011), 73-130. (with Si-Qi Liu)

32. On the Drinfeld-Sokolov hierarchies of D type. Int. Math. Res. Not. IMRN 2011, 1952-1996. (with Si-Qi Liu, Chao-Zhong Wu)

33. Hamiltonian structures and their reciprocal transformations for the r-KdV-CH hierarchy. J. Geom. Phys. 59 (2009), 1227-1243. (With Ming Chen, Si-Qi Liu)

34. Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures. Adv. Math. 219 (2008), 780-837. (with Boris Dubrovin, Si-Qi Liu)

35. On properties of Hamiltonian structures for a class of evolutionary PDEs. Lett. Math. Phys. 84 (2008), 47-63. (with Si-Qi Liu, Chao-Zhong Wu)

36. Central invariants of semisimple bihamiltonian structures. Proceedings of the 4th International Congress of Chinese Mathematicians III, Higher Education Press, 2008, 380-394.

37. On quasi-triviality and integrability of a class of scalar evolutionary PDEs. J. Geom. Phys. 57 (2006), 101-119. (with Si-Qi Liu)

38. A two-component generalization of the Camassa-Holm equation and its solutions. Lett. Math. Phys. 75 (2006), 1-15. (with Ming Chen, Si-Qi Liu)

39. Bihamiltonian systems of hydrodynamic type and reciprocal transformations. Lett. Math. Phys. 75 (2006), 79-92. (with Ting Xue)

40. On Hamiltonian perturbations of hyperbolic systems of conservation laws I: quasi-triviality of bi-Hamiltonian perturbations. Comm. Pure Appl. Math. 59 (2006), 559-615. (with Boris Dubrovin, Si-Qi Liu)

41. Deformations of semisimple bihamiltonian structures of hydrodynamic type. J. Geom. Phys. 54 (2005), 427-453. (with Si-Qi Liu)

42. Virasoro Symmetries of the Extended Toda Hierarchy. Comm. Math. Phys. 250 (2004), 161-193. (with Boris Dubrovin)

43. The extended Toda hierarchy. Mosc. Math. J. 4 (2004), 313-332. (with Guido Carlet, Boris Dubrovin)

44. Deformations of the bihamiltonian structures on the loop space of Frobenius manifolds. J. Nonlinear Math. Phys. 9 (2002), Suppl. 1, 243-257.

45. On the CP^1 topological sigma model and the Toda lattice hierarchy. J. Geom. Phys. 40 (2002), 215-232.

46. Frobenius manifolds and Virasoro constraints. Selecta Math. (N.S.) 5 (1999), 423-466. (with Boris Dubrovin)

47. On a reduction of the multi-component KP hierarchy. J. Phys. A 32 (1999), 6461-6476.

48. Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. Comm. Math. Phys. 198 (1998), 311-361. (with Boris Dubrovin)

49. Extended affine Weyl groups and Frobenius manifolds. Compositio Mathematica 111 (1998), 167-219. (with Boris Dubrovin)

50. On Segal-Wilson's construction for the tau-functions of the constrained KP hierarchies. Lett. Math. Phys. 36 (1996), 1-15.

51. A remark on the representation theory of the algebra U_q(sl(n)) when q is a root of unity. J. Phys. A 25 (1992), 851-859.