
Research Interests
Group representations, operator algebras, and connections between the two.
[ pdf ] A brief outline of my current projects can be found in this research statement.
Papers
(arXiv versions may differ from published versions)
Descent of Hilbert C*modules
Preprint (2017)
[ arXiv ]
Principal series for general linear groups over finite commutative rings
Preprint (2017)
Joint with Ehud Meir and Uri Onn
[ arXiv ]
A variant of HarishChandra functors
Journal of the Institute of Mathematics of
Jussieu (published online 2017)
Joint with Ehud Meir and Uri Onn
[ arXiv ] [ journal ]
Frobenius reciprocity and the Haagerup tensor product
To appear in Transactions of the American Mathematical Society (2017)
[ arXiv ]
[ journal ]
A second adjoint theorem for SL(2,R)
In "Around Langlands Correspondences", volume 691 of Contemporary Mathematics, 73–101 (2017)
Joint with Nigel Higson
[ arXiv ]
[ journal ]
Adjoint functors between categories of Hilbert C*modules
Journal of the Institute of Mathematics of
Jussieu (published online 2016)
Joint with Pierre Clare and Nigel Higson
[ arXiv ]
[ journal ]
Parabolic induction and restriction via C*algebras and Hilbert C*modules
Compositio Mathematica 152 (2016), 1286–1318
Joint with Pierre Clare and Nigel Higson
[ arXiv ]
[ journal ]
Parabolic induction, categories of representations and operator spaces
In "Operator algebras and their applications: a tribute to Richard V. Kadison", volume 671 of
Contemporary Mathematics, 85–109 (2016)
Joint with Nigel Higson
[ arXiv ]
[ journal ]
Parahoric induction and chamber homology for SL2
Journal of Lie Theory 25 (2015), 657–676
[ arXiv ]
[ journal ]
Fredholm modules over graph C*algebras
Bulletin of the Australian Mathematical Society 92 (2015), no. 2, 302–315.
[ arXiv ]
[ journal ]
Restriction to compact subgroups in the cyclic homology of reductive padic groups
Journal of Functional Analysis 267 (2014), 477–502
[ arXiv ]
[ journal ]
The BostConnes phase transition and unitary representations
Journal of Noncommutative Geometry 7 (2013), 291–300
[ pdf ]
[ journal ]
Corners of graph algebras
Journal of Operator Theory 60 (2008), 253–271
[ pdf ]
[ journal ]
Contractible subgraphs and Morita
equivalence of graph C*algebras
Proceedings of the American Mathematical Society 134 (2006), 2003–2013
Joint with Daniel Gow
[
pdf ]
[ journal ]
Talks
Parabolic induction over the padic integers
Video of my talk at the conference on representations of padic groups at IISER Pune, July 2017.
[ youtube ]
Group representations and operator algebras
Slides from a short talk in the MPIM Oberseminar in 2015.
[ pdf ]
Frobenius reciprocity and operator algebras
Slides from my talk at the conference on Operator Algebras and Applications in celebration of Erik Christensen and his work, Copenhagen, 2015
[ pdf ]
Hilbert bimodules and adjoint functors
Slides from my talk at the 2014 DanishNorwegian Operator Algebras Workshop, Lysebu
[ pdf ]
Parabolic induction and Ktheory for padic SL(2)
Slides from my talk at the 2013 DanishNorwegian Operator Algebras Workshop, Shæffergården
[ pdf ]
Parabolic and compact induction in Hochschild homology
Slides from a talk in the Operator Algebra seminar at the University of Copenhagen, 2013.
[ pdf ]
Projections in the
C*algebras of padic groups and the
BaumConnes conjecture
Slides from my talk at the 2011 East Coast Operator
Algebras
Symposium, Purdue University
[ pdf ]
Thesis
Equivariant homology
and representation theory of
padic groups
Advisor: Nigel Higson (Penn State)
2012
[ pdf ]
