Homepage of Kang Lu

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

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

  1. On the Gaudin model of type $G_2$
    (with E. Mukhin), Commun. Contemp. Math. (arXiv:1711.02511)

  2. 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

  1. Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus
    18 Oct. 2017, (arXiv:1710.06534), submitted

  2. 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

  3. 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

  4. 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