Variational bihamiltonian cohomologies and integrable hierarchies I: Foundations. Comm. Math. Phys. 401 (2023), 985-1031. (with Si-Qi Liu, Zhe Wang)
The Virasoro-like algebra of a Frobenius manifold. Int. Math. Res. Not. IMRN (2023), 13524-13561. (with Si-Qi Liu, Di Yang, Jian Zhou)
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)
Variational bihamiltonian cohomologies and integrable hierarchies II: Virasoro symmetries. Comm. Math. Phys. 395 (2022), 459-519. (with Si-Qi Liu, Zhe Wang)
The loop equation for special cubic Hodge integrals. J. Diff. Geom.121 (2022), 341-368. (with Si-Qi Liu, Di Yang, Chunhui Zhou)
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).
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)
Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy. Phys. D 433 (2022), 133180. (with Shuangxing Li, Si-Qi Liu, Haonan Qu)
The Hodge-FVH correspondence. J. Reine Angew. Math. 775 (2021), 259-300. (with Si-Qi Liu, Di Yang, Chunhui Zhou)
Super tau-covers of bihamiltonian integrable hierarchies. J. Geom. Phys. 170 (2021), 104351. (with Si-Qi Liu, Zhe Wang)
Hodge-GUE correspondence and the discrete KdV equation. Comm. Math. Phys. 379 (2020), 461-490. (with Boris Dubrovin, Si-Qi Liu, Di Yang)
Masur-Veech volumes of quadratic differentials and their asymptotics. J. Geom. Phys. 158 (2020), 103870. (with Di Yang, Don Zagier)
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)
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)
Bihamiltonian cohomologies and integrable hierarchies II: the tau structures. Comm. Math. Phys. 361 (2018), 467-524. (with Boris Dubrovin, Si-Qi Liu)
Fractional Volterra hierarchy. Lett. Math. Phys. 108 (2018), 261-283. (with Si-Qi Liu, Chunhui Zhou)
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)
BCFG Drinfeld-Sokolov hierarchies and FJRW-theory. Invent. Math. 201 (2015), 711-772. (with Si-Qi Liu, Yongbin. Ruan)
Central invariants of the constrained KP hierarchies. J. Geom. Phys. 97 (2015), 177-189. (with Si-Qi Liu, Xu Zhou)
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)
Uniqueness theorem of W-constraints for simple singularities. Lett. Math. Phys. 103 (2013), 1329-1345. (with Si-Qi Liu, Di Yang)
Bihamiltonian cohomologies and integrable hierarchies I: A special case. Comm. Math. Phys. 324 (2013), 897-935. (with Si-Qi Liu)
On the genus two free energies for semisimple Frobenius manifolds. Russian J. Math. Phys. 19 (2012), 273-298. (with Boris Dubrovin, Si-Qi Liu)
The inversion symmetry of the WDVV equations and tau functions. Physica D 241 (2012), 2168-2177. (with Si-Qi Liu, Dingdian Xu)
Jacobi structures of evolutionary partial differential equations. Adv. Math. 227 (2011), 73-130. (with Si-Qi Liu)
On the Drinfeld-Sokolov hierarchies of D type. Int. Math. Res. Not. IMRN 2011, 1952-1996. (with Si-Qi Liu, Chao-Zhong Wu)
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)
Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures. Adv. Math. 219 (2008), 780-837. (with Boris Dubrovin, Si-Qi Liu)
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)
Central invariants of semisimple bihamiltonian structures. Proceedings of the 4th International Congress of Chinese Mathematicians III, Higher Education Press, 2008, 380-394.
On quasi-triviality and integrability of a class of scalar evolutionary PDEs. J. Geom. Phys. 57 (2006), 101-119. (with Si-Qi Liu)
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)
Bihamiltonian systems of hydrodynamic type and reciprocal transformations. Lett. Math. Phys. 75 (2006), 79-92. (with Ting Xue)
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)
Deformations of semisimple bihamiltonian structures of hydrodynamic type. J. Geom. Phys. 54 (2005), 427-453. (with Si-Qi Liu)
Virasoro Symmetries of the Extended Toda Hierarchy. Comm. Math. Phys. 250 (2004), 161-193. (with Boris Dubrovin)
The extended Toda hierarchy. Mosc. Math. J. 4 (2004), 313-332. (with Guido Carlet, Boris Dubrovin)
Deformations of the bihamiltonian structures on the loop space of Frobenius manifolds. J. Nonlinear Math. Phys. 9 (2002), Suppl. 1, 243-257.
On the CP^1 topological sigma model and the Toda lattice hierarchy. J. Geom. Phys. 40 (2002), 215-232.
Frobenius manifolds and Virasoro constraints. Selecta Math. (N.S.) 5 (1999), 423-466. (with Boris Dubrovin)
On a reduction of the multi-component KP hierarchy. J. Phys. A 32 (1999), 6461-6476.
Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. Comm. Math. Phys. 198 (1998), 311-361. (with Boris Dubrovin)
Extended affine Weyl groups and Frobenius manifolds. Compositio Mathematica 111 (1998), 167-219. (with Boris Dubrovin)
On Segal-Wilson's construction for the tau-functions of the constrained KP hierarchies. Lett. Math. Phys. 36 (1996), 1-15.
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.