Publications:

  1. With D. Jondreville, Quantization of the affine group of a local field, Submitted.
  2. With P. Bieliavsky, Ph. Bonneau and F. D'Andrea, Quantum Kahlerian Lie groups from multiplicative unitaries, To appear in JNCG, 67 (2017).
  3. With P. Bieliavsky, S. Neshveyev and L. Tuset On deformations of \(C^*\)-algebras by actions of Kahlerian Lie groups, Internat. J. Math., 67 (2016).
  4. With D. Jondreville, Deformation quantization for actions of \(\mathbb Q_p^d\), J. Funct. Anal. 268 (2015).
  5. With A. Carey, J. Phillips, A. Rennie and F. Sukochev, Spectral flow for nonunital spectral triples, Canad. J. Math., 67 (2015).
  6. With P. Bieliavsky, A. de Goursac and F. Spinnler, Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry,
    7. Current Developments and Retrospectives in Lie Theory: Geometric and Analytical Methods'', (editors: G. Mason, I. Penkov, J. A. Wolf), Springer 2014.
  7. With F. Sukochev, Dixmier traces and extrapolation description of noncommutative Lorentz spaces, J. Funct. Anal. 266 (2014).
  8. With P. Bieliavsky, Deformation quantization for actions of Kahlerian Lie groups, Mem. Amer. Math. Soc. 236 Number 1115 (2015).
  9. With A. Carey, A. Rennie and F. Sukochev, Index theory for locally compact noncommutative geometries, Mem. Amer. Math. Soc. 231 Number 1085 (2014).
  10. With R. Wulkenhaar, Spectral geometry of the Moyal plane with harmonic propagation, J. Noncommut. Geom. 7 (2013).
  11. With A. Carey, A. Rennie and F. Sukochev, Integration on locally compact noncommutative spaces, J. Funct. Anal. 263 (2012).
  12. With B. Durhuus, The scattering problem for a noncommutative nonlinear Schrödinger equation, SIGMA Symmetry Integrability Geom. Methods Appl. 6 (2010).
  13. With J. Gracia-Bond\'ia and J. V\'arilly, Fourier analysis on the affine group, quantization and noncompact Connes geometries, J. Noncommut. Geom. 2 (2008).
  14. With J. Jureit, T. Krajewski and R. Wulkenhaar, Quantum field theory on projective modules, J. Noncommut. Geom. 1 (2007).
  15. With B. Iochum and D. Vassilevich, Heat kernel and number theory on NC-torus, Commun. Math. Phys. 273 (2007).
  16. With B. Iochum and J. V\'arilly, Dixmier trace and non-compact isospectral deformations, J. Funct. Anal. 237 (2006).
  17. With J. Gracia-Bond\'ia and F. Ruiz Ruiz, Position-dependent noncommutative products: classical construction and field theory, Nucl. phys. B 727 (2005).
  18. With J. Gracia-Bond\'ia and F. Ruiz Ruiz, Troubles with space-like noncommutative field theory, Phys. Lett. B 610 (2005).
  19. Heat kernel approach to UV/IR mixing on isospectral deformation manifolds, Ann. Henri Poincaré 6 (2005).
  20. With B. Iochum, The spectral action for Moyal planes, J. Math. Phys. 6 (2005).
  21. With J. Gracia-Bondia, B. Iochum, T. Schucker and J. Varilly, Moyal planes are spectral triples, Commun. Math. Phys. 246 (2004).
  22. The action functional for Moyal planes, Lett. Math. Phys. 65 (2003).

HDR:

    "De la Quantification Équivariante aux Algèbres d'Opérateurs" et "Espaces Noncommutatifs Semi-finis et Localement Compacts"