Profile

Personal Information

  • Birth Date: May 8, 1989
  • Citizenship: China
  • Email: lukang[at]iupui[dot]edu
  • Address: 402 N. Blackford, LD 270, Indianapolis IN 46202
  • Phone: (317) 487-****
  • Name in Chinese: 陆康
  • My CV may be found here.
  • My Erdös Number: 4.
    Paul Erdős1-->Shizuo Kakutani-->Karl Endel Petersen-->A. N. Varchenko-->Kang Lu
  • Education

    • Current (Since Aug. 2014), Ph.D. student, Department of Mathematical Sciences, IUPUI (Advisor: Prof. Evgeny Mukhin)
    • 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, Changsha No. 1 Middle School, 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

    1. On the Gaudin model of type $G_2$
      (with E. Mukhin), 04 Nov. 2017, (arXiv:1711.02511)

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

    3. 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)

    4. Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems
      (with Gang Han, Yucheng Liu), 12 Nov. 2016, (arXiv:1611.03943)

    5. 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)

    6. Fine gradings of complex simple Lie algebras and Finite Root Systems
      (with Gang Han, Jun Yu), 29 Oct. 2014. (arXiv:1410.7945)