My research interests lie within Representation Theory and Noncommutative Geometry.
I was a co-foudner and organizer of the RTNCG research community, sponsored by the American Institute of Mathematics and the NSF.
I am an editor for the Journal of Lie theory.
Preprints
- Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality,
with C.-K. Li, E. Poon and E. Swartz (arXiv)
Publications
- On the Connes-Kasparov Isomorphism, II
The Vogan classification of essential components in the tempered dual,
with N. Higson and Y. Song
Japan J. Math. 19, Issue 1 (2024), pp. 111-141.
arXiv - journal - MathSciNet - On the Connes-Kasparov Isomorphism, I
The structure of the reduced C*-algebra of a reductive group and the K-theory of the tempered dual, with N. Higson, Y. Song and X. Tang
Japan J. Math. 19, Issue 1 (2024), pp. 67-109.
arXiv - journal - MathSciNet - C*-algebraic normalization and Godement-Jacquet factors
Contemp. Math. 714 (2018), pp.87-95
arXiv - journal - MathSciNet - Adjoint functors between categories of Hilbert modules,
with T. Crisp
and N. Higson
J. Inst. Math. Jussieu 17, Issue 2 (2018), pp. 453-488.
arXiv - journal - MathSciNet - Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups
Internat. J. Math. 26 no. 13 (2015), 16pp.
arXiv - journal - MathSciNet - Parabolic induction and restriction via C*-algebras and Hilbert modules,
with T. Crisp
and N. Higson
Compositio Mathematica 152 no. 6 (2016), pp. 1286-1318.
arXiv - journal - MathSciNet - C*-algebraic intertwiners for degenerate principal series of special linear groups
Chinese Ann. of Math. Ser. B 35 (2014), pp. 691-702.
arXiv - journal - MathSciNet - C*-algebraic intertwiners for principal series: case of SL(2)
Journal of Noncommutative Geometry 9 (2015), pp. 1-19.
arXiv - journal - MathSciNet - On the degenerate principal series of complex symplectic groups
J. Funct. Anal. 262 (2012), pp. 4160-4180.
arXiv - journal - MathSciNet - Hilbert modules associated with parabolically induced representations
J. Operator Theory 69 (2013), pp. 483-509.
arXiv - journal - MathSciNet