Research

My primary research interest is in the representation theory of reductive groups. My PhD advisor is Peter Trapa.

Recently, I am particularly interested in the problems on extensions and irreducibility of representaions of affine Hecke algebras.

Publications:

- Duality for Ext-groups and extensions of discrete series for graded Hecke algebras, preprint, arXiv

- On a twisted Euler-Poincare pairing for graded affine Hecke algebras, preprint

- Dirac cohomology for degenerate affine Hecke-Clifford algebras, submitted, arXiv

- Spin representations of real reflection groups of noncrystallographic root systems,
*J. Algebra*, 2013,**379**, 333-354. arXiv

- (with J-H. Lu and S. K-M. To) On intersections of conjugacy classes and Bruhat cells ,
*Trans. groups*, 2010,**15**(2), 243-260. arXiv

- (with H. F. Law, P. P. W. Wong) On polar ovals in abelian projective planes ,
*Inov. Incidence Geom.*, 2011,**12**, 35-48.

- PhD thesis: Extensions of graded affine Hecke algebra modules

- Notes on elliptic representation characters for affine Hecke algebras and limits of discrete series