Publications and preprints

• Singularity formation for the 1-D cubic NLS and the Schrödinger map on 𝕊2,
      with Luis Vega, ArXiv 1702.01947.
  
  
• Collision of almost parallel vortex filaments,
      with Erwan Faou & Evelyne Miot, Comm. Pure Appl. Math. 70 (2017), 378-405.
  
  
• Scattering for NLS with a delta potential,
      with Nicola Visciglia, J. Differential Equations 260 (2016), 4410-4439.
  
  
• The initial value problem for the binormal flow with rough data,
      with Luis Vega, Ann. Sci. Éc. Norm. Supér. 48 (2015), 1421-1453.
  
  
• Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space,
      with Thomas Duyckaerts, Dyn. of P.D.E. 12 (2015), 53-96.
  
  
• Some constructions for the fractional Laplacian on noncompact manifolds,
      with María del Mar González & Mariel Sáez, Rev. Mat. Iberoam. 31 (2015), 681-712.
  
  
• Collisions of vortex filament pairs,
      with Erwan Faou & Evelyne Miot, J. Nonlinear Sci. 24 (2014), 1263-1284.
  
  
• Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees,
      with Liviu Ignat, Analysis & P.D.E. 7 (2014), 903-927.
  
  
• Evolution, interaction and collisions of vortex filaments,
      with Evelyne Miot, Diff. Int. Eqs. 26 (2013), 355-388.
  
  
• Stability of the selfsimilar dynamics of a vortex filament,
      with Luis Vega, Arch. Ration. Mech. Anal. 210 (2013), 673-712.
  
  
• Global existence and collisions for symmetric configurations of nearly parallel vortex filaments,
      with Evelyne Miot, Ann. I. H. Poincaré, An. Non Lin. 29 (2012), 813-832.
  
  
• Scattering for 1D cubic NLS and singular vortex dynamics,
      with Luis Vega, J. Eur. Math. Soc. 14 (2012), 209-253.
  
  
• Selfsimilar solutions of the binormal flow and their stability,
      with Luis Vega, Panoramas et Synthèses 38 (2012), 1-35.
  
  
• Dispersion for the Schrödinger Equation on Networks,
      with Liviu Ignat, J. Math. Phys. 52 (2011), 083703.
  
  
• Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation,
      with Rémi Carles & Thomas Duyckaerts, Comm. P.D.E. 36 (2011), 487-531.
  
  
• On scattering for NLS: from Euclidean to hyperbolic space,
      with Rémi Carles & Thomas Duyckaerts, Discrete Contin. Dyn. Syst. Ser. A 24 (2009), 1113-1127.
  
  
• On the stability of a singular vortex dynamics,
      with Luis Vega, Comm. Math. Phys. 286 (2009), 593-627.
  
  
• Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space,
      with Rémi Carles & Gigliola Staffilani, Geom. Funct. Anal. 18 (2008), 367-399.
  
  
• On the Dirac delta as initial condition for nonlinear Schrödinger equations,
      with Luis Vega, Ann. I. H. Poincaré, An. Non Lin. 25 (2008), 697-711.
  
  
• Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds,
      with Thomas Duyckaerts, Dyn. P.D.E. 4 (2007), 335-359.
  
  
• The nonlinear Schrödinger equation on hyperbolic space,
      Comm. P.D.E. 32 (2007), 1643-1677.
  
  
• 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.
  
  
• On the nonlinear Schrödinger dynamics on S^2,
      J. Math. Pures Appl. 83 (2003), 77-98.
  
  
• Dispersion and Strichartz Inequalities for Schrödinger Equations with Singular Coefficients,
      SIAM J. Math. Anal. 35 (2003), 868-883.

Proceedings

• Dispersion pour l'équation de Schrödinger 1-D avec plusieurs potentiels de Dirac,
      Séminaire Laurent Schwartz - EDP et applications, 2013-2014, Exp. No. 20, 13p.
  
  
• The initial value problem for the binormal flow with rough data,
      Oberwolfach Rep. 41 (2013), 2325-2327.
  
  
• Evolution by the vortex filament equation of curves with a corner,
      Journées Équations aux dérivées partielles, Biarritz 2013, Exp. No. 1, 18 p.
  
  
• Sur la stabilité d'une dynamique de vortex singulière,
      Séminaire Équations aux dérivées partielles (Polytechnique), 2007-2008, Exp. No. 3, 11p.
  
  
• Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain,
      Journées Équations aux dérivées partielles, Forges-les-Eaux 2003, Exp. No. I, 14 p.
  
  

Habilitation à diriger des recherches

PhD