Graduate students

Below is a list of my former graduate students and the title of their dissertation.

  • Naihuan Jing, Vertex Operators, Symmetric Functions and their q-Deformations, 1989.
  • Minhyong Kim, Lower Bounds for Lattice Vectors and Arithmetic Intersection Theory, 1990.
  • Yongchang Zhu, Vertex Operator Algebras, Elliptic Functions and Modular Forms, 1990.
  • John Edward Fischer, Jr., Geometry of 2-Categories, 1993.
  • Pavel Ilyich Etingof, Representation Theory and Holonomic Systems, 1994.
  • Jintai Ding, Spinor and Oscillator Representations of Quantum Groups, 1995.
  • Alexander A. Kirillov, Jr., Traces of Intertwining Operators and MacDonald’s Polynomials, 1995.
  • Harold K. Knight, Jr., Piecewise Linear Minimization Formulas and Langrangian Varieties for Quivers, 1995.
  • Mikhail Khovanov, Graphical Calculus, Canonical Bases And Kazhdan-Lusztig Theory, 1997.
  • Konstantin Styrkas, Quantum Groups, Conformal Field Theories, and Duality of Tensor Categories, 1998.
  • Maxim Y. Vybornov, Sheaves on Triangulated Spaces and Koszul Duality, 1999.
  • Anna Lachowska, Structure and Representations of Small Quantum Groups, 2001.
  • Anton Malkin, Geometric Methods in the Theory of Hall Algebras, 2001.
  • Alistair Rowland John Savage, Relations Between Algebraic and Geometric Constructions in Representation Theory, 2003.
  • John F. Duncan, Vertex Operators, and Three Sporadic Groups, 2006.
  • Anthony Michael Licata, Moduli Spaces of Sheaves on Surfaces in Geometric Representation Theory, 2007.
  • Joshua Sussan, 2007.
  • Minxian Zhu, Vertex operator algebras arising from affine Lie algebras, 2008.
  • Masood Aryapoor, The Penrose transform and self-dual Yang-Mills equations in split signature, 2009.
  • Ivan Chi-Ho Ip, Positive Representations and Harmonic Analysis of Split Real Quantum Groups, 2012.
  • Anton Mikhailovich Zeitlin, Semi-infinite Cohomology in Noncommutative Geometry and Conformal Field Theory, 2012.
  • Hyun Kyu Kim, Quantum Teichm├╝ller space and universal modular groupoid, 2013.
  • Florencia Orosz Hunziker, Feigin-Fuchs duality and Virasoro vertex algebras, 2019.
  • Gabriel Bergeron-Legros, Three Families of Lie algebras of exponential growth from vertex operator algebras, 2021.