### 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.

### Publications

**Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)**

(with E. Mukhin, A. Varchenko), accepted by a special issue of Pure Appl. Math. Q. in honor of Yuri Manin’s 80-th birthday, (arXiv:1705.02048)**On the Gaudin model of type \(G_2\)**

(with E. Mukhin), Commun. Contemp. Math. (arXiv:1711.02511)**Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus**

SIGMA **14** (2018), 046, 15 pages, (arXiv:1710.06534)**On the Gaudin model associated to Lie algebras of classical types**

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

### Preprints

**Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems**

(with Gang Han, Yucheng Liu), 12 Nov. 2016, (arXiv:1611.03943), submitted**Fine gradings of complex simple Lie algebras and Finite Root Systems**

(with Gang Han, Jun Yu), 29 Oct. 2014. (arXiv:1410.7945)

My Erdös Number: 4.

Paul Erdős–>Shizuo Kakutani–>Karl Endel Petersen–>A. N. Varchenko–>Kang Lu