• Publications and preprints

    1. Evolution, interaction and collisions of vortex filaments,
          with Evelyne Miot, ArXiv:1202.2580

    2. Stability of the selfsimilar dynamics of a vortex filament,
          with Luis Vega, ArXiv:1202.1106

    3. Global existence and collisions for symmetric configurations of nearly parallel vortex filaments,
          with Evelyne Miot, to appear in Ann. I. H. Poincaré, An. Non Lin., pdf

    4. Dispersion for the Schrödinger Equation on Networks,
          with Liviu Ignat, to appear in J. Math. Phys., pdf

    5. Scattering for 1D cubic NLS and singular vortex dynamics,
          with Luis Vega, J. Eur. Math. Soc. 14 (2012), 209-253, pdf

    6. Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation,
          with Rémi Carles & Thomas Duyckaerts, Comm. P.D.E. 36 (2011), no. 3, 487-531, pdf

    7. Selfsimilar solutions of the binormal flow and their stability,
          with Luis Vega, to appear in Panoramas et Synthèses, pdf

    8. On scattering for NLS: from Euclidean to hyperbolic space,
          with Rémi Carles & Thomas Duyckaerts, Discrete Contin. Dyn. Syst. Ser. A 24 (2009), no. 4, 1113-1127, pdf

    9. On the stability of a singular vortex dynamics,
          with Luis Vega, Comm. Math. Phys. 286 (2009), no. 2, 593-627, pdf

    10. Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space,
          with Rémi Carles & Gigliola Staffilani, Geom. Funct. Anal. 18 (2008), no. 2, 367-399, pdf

    11. On the Dirac delta as initial condition for nonlinear Schrödinger equations,
          with Luis Vega, Ann. I. H. Poincaré, An. Non Lin. 25 (2008), no. 4., 697-711, pdf

    12. Sur la stabilité d'une dynamique de vortex singulière,
          Séminaire de l'Ecole Polytechnique "Equations aux dérivées partielles", 2007-2008 Exp. No. 3, 11p., pdf

    13. Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds,
          with Thomas Duyckaerts, Dyn. P.D.E. 4 (2007), no. 4, 335-359, pdf

    14. The nonlinear Schrödinger equation on hyperbolic space,
          Comm. P.D.E. 32 (2007), no. 10, 1643-1677, pdf

    15. Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain,
          Ann. Sc. Norm. Super. Pisa (5), Vol. III (2004), 139-170, pdf

    16. Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain,
          Proceedings of the congress "Journées E.D.P.", Forges-les-Eaux (2003) Exp. No. I, 14 p., pdf

    17. On the nonlinear Schrödinger dynamics on S^2,
          J. Math. Pures Appl. 83 (2003), no. 1, 77-98, pdf

    18. Dispersion and Strichartz Inequalities for Schrödinger Equations with Singular Coefficients,
          SIAM J. Math. Anal. 35 (2003), no. 4, 868-883, pdf

  • Habilitation à diriger des recherches

    Dissertation on: "Régimes asymptotiques pour l'équation de Schrödinger non-linéaire et applications", pdf.

    Referees: Isabelle Gallagher, Carlos Kenig, Jean-Claude Saut.
    Jury: Isabelle Gallagher, Patrick Gérard, Pierre-Gilles Lemarié-Rieusset, Jean-Claude Saut, Luis Vega, Giorgio Velo.
    Defense: November 12th 2008 in Evry.

  • Thèse de doctorat

    Dissertation on: "Equation de Schrödinger en milieu inhomogène", pdf.
    Advisor: Patrick Gérard.

    Referees: Thierry Cazenave, Guy Métivier.
    Jury: Thierry Cazenave, Patrick Gérard, Guy Métivier, Fabrice Planchon, Jean-Claude Saut, Maciej Zworski.
    Defense: September 29th 2003 in Paris XI.