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

Last modified on July 17, 2017.