Complex representations of finite Chevalley groups
Modular representations
Quantum groups/Canonical bases
Algebraic groups/Character sheaves
Symmetric spaces
Coxeter groups
P-adic groups/loop groups
Total positivity
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From conjugacy classes in the Weyl group to unipotent classes II, Represent.Th. 16(2012), 189-211.
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(with T.Xue) Elliptic Weyl group elements and unipotent isometries with $p=2$, Represent.Th. 16(2012), 270-275.
(with D.Vogan) Hecke algebras and involutions in Weyl groups, Bull.Inst.Math.Acad.Sinica(N.S.) 7(2012), 323-354.
A bar operator for involutions in a Coxeter group, Bull.Inst.Math.Acad.Sinica (N.S.) 7(2012), 355-404.
From conjugacy classes in the Weyl group to unipotent classes III, Represent.Th.16(2012),450-488.
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(with D.Vogan) Quasisplit Hecke algebras and symmetric spaces, Duke Math.J. 163(2014), 983-1070.
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On conjugacy classes in the Lie group E_8, arxiv:1309.1382, Bull.Soc.Math.Roumanie 63(2020).91-94
(with D.Vogan) Hecke algebras and involutions in Coxeter groups, Proc.Vogan conf. Birkh\"auser 2015.
Unipotent representations as a categorical centre, Repres.Th. 19(2015) 211-235
Exceptional representations of Weyl groups, J.Alg. 475(2017) 4-20
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Nonsplit Hecke algebras and perverse sheaves, Selecta Math. 22(2016) 1953-1986.
(with G.Williamson) On the character of certain tilting modules, Science China Math. 61(2018) 296-298.
Non-unipotent character sheaves as a categorical centre, Bull. Inst. Math. Acad.Sinica (NS) 11(2016), 603-731
An involution based left ideal in the Hecke algebra, Represent.Th. 20(2016),172-186.
Generic character sheaves on groups over $\kk[\e]/(e^r)$, Categorification and higher representation theory, Contemp.Math. 683(2017), 227-246.