### Research Interests

Generally speaking, I am interested in Representation Theory and Quantum Algebras.

More specifically, my current research interests are: Bethe ansatz method, Representation Theory of Quantum Groups, Lie Algebras and Superalgebras, and Integrable System.

### Preprints

**Fine gradings of complex simple Lie algebras and Finite Root Systems**

(with Gang Han, Jun Yu), 29 Oct. 2014. (arXiv:1410.7945) not for publication

### Publications

**Solutions of \(\mathfrak{gl}_{m|n}\) XXX Bethe ansatz equation and rational difference operators**

(with Chenliang Huang, E. Mukhin), J. Phys. A: Math. Theor.**52**(2019) 375204 (31pp), (arXiv:1811.11225)**On the Gaudin model of type \(G_2\)**

(with E. Mukhin), Commun. Contemp. Math.**21**(2019), no. 3, 1850012, 31 pages, (arXiv:1711.02511)**Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems**

(with Gang Han, Yucheng Liu), Algebra Colloq.**26**(2019), no. 1, 123-138, (arXiv:1611.03943)**Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus**

SIGMA**14**(2018), 046, 15 pages, (arXiv:1710.06534)**Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)**

(with E. Mukhin, A. Varchenko), Pure Appl. Math. Q.**13**(2017), no.2, 291 – 335 , a special issue of in honor of Yuri Manin’s 80-th birthday, (arXiv:1705.02048)**On the Gaudin model associated to Lie algebras of classical types**

(with E. Mukhin, A. Varchenko), J. Math. Phys.**57**(2016), 101703, 23 pages (arXiv:1512.08524)