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Kayue Daniel Wong

Visiting Assistant Professor

Malott Hall, Room 582
kw342@cornell.edu

Educational Background

Ph.D. (2013) Cornell University

Departments/Programs

  • Mathematics

Research

Representation theory of reductive Lie groups

I am interested in nilpotent orbits of semisimple Lie algebras. More precisely, I investigate the relations between unipotent representations and the unitary spectrum of semisimple Lie groups. On the other hand, I study the normality of nilpotent varieties, and its interplay with the unitary spectrum and quantization of orbit data.

Publications

  • A Casselman-Osborne Theorem for Rational Cherednik Algebras (with J.-S. Huang),  to appear in Transformation Groups.
  • Some Calculations of the Lusztig-Vogan bijection for Classical Nilpotent Orbits, Journal of Algebra 487 (2017), 317-339.
  • On Quantization of a Nilpotent Orbit Closure in G_2, Proceedings of American Mathematical Society 144 (2016), 5097-5102.
  • Quantization of Special Symplectic Nilpotent Orbits and Normality of their Closures, Journal of Algebra 462 (2016), 37-53.
  • Regular Functions of Symplectic Spherical Nilpotent Orbits and their Quantizations, Representation Theory 19 (2015), 333-346.