Research
My research interests lie within Representation Theory and Noncommutative Geometry. More precisely, the main part of my work consists in using objects such as C*-algebras and Hilbert modules to describe certain aspects of Representation Theory (parabolic induction and restriction, Knapp-Stein theory...) and study related problems.
I am also interested in the application of new methods of Geometric Analysis to the study a small representations of Lie groups.

## Publications

1. Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups
Internat. J. Math. 26 no. 13 (2015), 16pp.
[arXiv]  -  [journal]  -  [MathSciNet]

2. Adjoint functors between categories of Hilbert modules, with T. Crisp and N. Higson
J. Inst. Math. Jussieu (2016).
[arXiv]  -  [journal]

3. 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]

4. 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]

5. C*-algebraic intertwiners for principal series: case of SL(2)
Journal of Noncommutative Geometry 9 (2015), pp. 1-19.
[arXiv]  -  [journal]  -  [MathSciNet]

6. On the degenerate principal series of complex symplectic groups
J. Funct. Anal. 262 (2012), pp. 4160-4180.
[arXiv]  -  [journal]  -  [MathSciNet]

7. Hilbert modules associated with parabolically induced representations
J. Operator Theory 69 (2013), pp. 483-509.
[arXiv]  -  [journal]  -  [MathSciNet]

## Other

• Frobenius reciprocity and the Haagerup tensor product, T. Crisp
Oberwolfach Rep. 13 (2016), pp. 281--283.   [journal]

• Operator spaces and the Plancherel formula, N. Higson
Oberwolfach Rep. 13 (2016), pp. 283--285.   [journal]