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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 Harish-Chandra 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 p-adic groups
Journal of Functional Analysis 267 (2014), 477–502
[ arXiv ]   [ journal ]

The Bost-Connes 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 p-adic integers
Video of my talk at the conference on representations of p-adic 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 Danish-Norwegian Operator Algebras Workshop, Lysebu
[ pdf ]

Parabolic induction and K-theory for p-adic SL(2)
Slides from my talk at the 2013 Danish-Norwegian 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 p-adic groups and the Baum-Connes conjecture
Slides from my talk at the 2011 East Coast Operator Algebras Symposium, Purdue University
[ pdf ]


Thesis

Equivariant homology and representation theory of p-adic groups
Advisor: Nigel Higson (Penn State)
2012
[ pdf ]