CMS’ Director

François Genoud

Short vita

2018- …: Director, CMS

2017-2018: Associate Professor at the Université Libre de Bruxelles

2015-2017: Assistant Professor at the Delft University of Technology

2013-2015: Postdoc at the University of Vienna

2010-2013: Postdoc at Heriot-Watt University (Edinburgh)

2009-2010: Postdoc at the University of Oxford

2005-2008: Graduate studies in Mathematics at EPFL

2000-2005: Undergraduate studies in Physics at EPFL

CV – Version complète

Research interests

Partial differential equations, evolution equations, nonlinear analysis, bifurcation theory, calculus of variations, mathematical physics.

Selected publications

  • (with S. Rota Nodari) Standing wave solutions of a quasilinear Schrödinger equation. Part I: The low frequency limit, NoDEA Nonlinear Differential Equations Appl. 33 (2026), 43, arXiv:2407.16179.
  • (with S. Le Coz and J. Royer) A minimal mass blow-up solution on a nonlinear quantum star graph, J. Differential Equations 484 (2026), 114729, arXiv:2302.09678.
  • (with E. Csobo) Minimal mass blow-up solutions for the L² critical NLS with inverse-square potential, Nonlinear Anal. 168 (2018), 110–129, arXiv:1707.01421.
  • (with S. Bachmann) Mean-field limit and phase transitions for nematic liquid crystals in the continuum, J. Stat. Phys. 168 (2017), 746–771, arXiv:1508.05025.
  • (with V. Combet) Classification of minimal mass blow-up solutions for an L² critical inhomogeneous NLS, J. Evol. Equ. 16 (2016), 483–500, arXiv:1503.08915.
  • (with B. A. Malomed and R. M. Weishäupl) Stable NLS solitons in a cubic-quintic medium with a delta-function potential, Nonlinear Anal. 133 (2016), 28–50, arXiv:1409.6511.
  • (with S. de Bièvre and S. Rota Nodari) Orbital stability: analysis meets geometry, in: C. Besse, J. C. Garreau (eds.), Lecture Notes in Mathematics 2146, Springer, 2015, pp. 147–273, arXiv:1407.5951.
  • (with D. Henry) Instability of equatorial water waves with an underlying current, J. Math. Fluid Mech. 16 (2014), 661–667, arXiv:1403.1880.
  • Global bifurcation for asymptotically linear Schrödinger equations, NoDEA Nonlinear Differential Equations Appl. 20 (2013), 23–35, arXiv:1106.5879.
  • (with B. P. Rynne) Landesman-Lazer conditions at half-eigenvalues of the p-Laplacian, J. Differential Equations 254 (2013), 3461–3475, arXiv:1207.2489.
  • An inhomogeneous, L² critical, nonlinear Schrödinger equation, Z. Anal. Anwend. 31 (2012), 283–290, arXiv:1110.0915.
  • A smooth global branch of solutions for a semilinear elliptic equation on RN, Calc. Var. Partial Differential Equations 38 (2010), 207–232.
  • Bifurcation and stability of travelling waves in self-focusing planar waveguides, Adv. Nonlinear Stud. 10 (2010), 357–400.
  • (with C. A. Stuart) Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves, Discrete Contin. Dyn. Syst. 21 (2008), 137–186.