### Personal Information

I am a fifth-year math Ph.D. student at Indiana University–Purdue University Indianapolis (IUPUI), advised by Evgeny Mukhin.

- Email: lukang[at]iu[dot]edu
- Address: 402 N. Blackford, LD 270, Indianapolis IN 46202
- Name in Chinese: 陆康
- My CV may be found here.

### Education

- Current (Since Aug. 2014), Ph.D. candidate, Department of Mathematical Sciences, IUPUI
- Jul. 2014, M.S., Department of Mathematics, Zhejiang University (Advisor: Prof. Gang Han)
- Jul. 2010, B.S., School of Mathematical Sciences, Fudan University

### 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 (arXiv:1410.7945)*not for publication*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. and Theor.*, (arXiv:1811.11225)**On the Gaudin model of type \(G_2\)**

(with E. Mukhin),*Commun. Contemp. Math.*(arXiv:1711.02511)**Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems**

(with Gang Han, Yucheng Liu),*Algebra Colloq.***26**:1 (2019) 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**no.2 (2017),*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**, 101703 (2016) (arXiv:1512.08524)

My Erdös Number: 4.

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