Research
I am interested in equivariant index theory for manifolds with various group actions, and interactions with non-commutative geometry, symplectic geometry and representation theory.

Preprints

  • Spinor modules for Hamiltonian loop group spaces, with Y.Loizides and E.Meinrenken [arXiv

  • A geometric realisation of tempered representations restricted to maximal compact subgroups, with P. Hochs and S. Yu [arXiv

  • An equivariant index for proper actions II: properties and applications, with P. Hochs [arXiv


  • Publications

  • Equivariant indices of Spin^c-Dirac operators for proper moment maps, with P. Hochs
    Duke Math. J. 166(2017), no. 6, 1125-1178.[arXiv

  • On the Vergne conjecture, with P. Hochs
    Archiv der Mathematik 108(2017), no. 1, 99-112.[arXiv

  • A K-homological approach to the quantization commutes with reduction problem,
    J. Geom. Phys 112 (2017), pp. 29-44. [arXiv

  • An equivariant index for proper actions I, with P. Hochs
    J. Funct. Anal 272 (2017), no.2, pp. 661-704. [arXiv

  • An equivariant index for proper actions III: the invariant and discrete series indices, with P. Hochs Differential Geom. Appl 49 (2016), pp. 1-22.[arXiv

  • Dirac operators on quasi-Hamiltonian G-spaces,
    J. Geom. Phys 106 (2016), pp. 70-86. [arXiv

  • K-theory and the quantization commutes with reduction problem, with N. Higson
    Chin. Ann. Math. Ser. B 35 (2015), pp. 703-732.