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

### Personal Information

- Email: lukang[at]iupui[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
- Jun. 2006, The First High School of Changsha, Hunan, China

### 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

**On the Gaudin model of type $G_2$**

(with E. Mukhin), Commun. Contemp. Math. (arXiv:1711.02511)**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

**Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus**

18 Oct. 2017, (arXiv:1710.06534), submitted**Self-dual Grassmannian, Wronski map, and representations of $\mathfrak{gl}_N$, $\mathfrak{sp}_{2r}$, $\mathfrak{so}_{2r+1}$**

(with E. Mukhin, A. Varchenko), 8 May. 2017, (arXiv:1705.02048), submitted**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