Welcome


I am a Junior CNRS Researcher working at the Institut de Mathématiques de Toulouse (UMR 5219) of the University Toulouse III, Paul Sabatier. I also serve as an editor in the SIAM series on Mathematical Neuroscience.

Research interests:
- Propagation phenomena in local and nonlocal reaction-diffusion equations
- Pattern formation, traveling waves
- Mathematical Neuroscience
- Invasion Fronts in Ecology and Epidemiology

Internships and Postdoctoral funding


Master's internships in Mathematics


During Spring/Summer 2025, I offer several Master's internships in Mathematics at the the Institut de Mathématiques de Toulouse (France).

  • Master 2 level: Iterated convolutions and the local limit theorem (Research project in french)
  • Master 2 level: Super-linear spreading for Fisher-KPP equations set on antitrees (Research project)

    • For more information, please contact me via email at gregory.faye[at]math.univ-toulouse[dot]fr.

    Postdoctoral funding in Mathematics


    Within the ANR project Hyperbolic Equations, Approximations & Dynamics HEAD (2024-2029), we are offering two 2-years post-doc positions in France, one in Rennes, one in Toulouse. The project is focused on the analysis of the long-time dynamics of hyperbolic systems of partial differential equations and their approximations by numerical schemes, vanishing viscosity or in the dispersionless limit. We welcome applications with background on the nonlinear analysis of partial differential equations, the study of infinite dimensional dynamical systems and their coherent structures, the mathematical analysis of numerical schemes for partial differential equations. For more information on the application process, please check the official announcement: PDE file.

    The selection process will start on December 16th, 2024.

    Grants and projects


    Ongoing projects/grants:
    - NEW! ANR HEAD, (2024-2029) PI: L.M. Rodrigues (Institut de recherche mathématique de Rennes)
    - ANR ReaCh, (2023-2028) PI: J-M. Roquejoffre (Institut de Mathématiques de Toulouse)
    - ANR Indyana, (2021-2025) PI: G. Faye
    - NWO Mathematics Clusters, (starting 2021) PI: D. Avitabile (Vrije Universiteit Amsterdam)
    - Labex CIMI project StabIn (2020-2024), PI: G. Faye
    - ANR ChaMaNe (2020-2025), PI: D. Salort (Sorbonne Université)
    - IRN ReaDiNet, member

    Past projects/grants:
    - MODCOV19 Postdoctoral funding, (starting 2021/22) PI: G. Faye
    - ANITI, (2019-2022) member of the chair hold by R. VanRullen (CerCo)
    - ANR Nonlocal (2014-2019), PI: F. Hamel (Aix Marseille Université)
    - NSF grant DMS 1311414 (2013-2014), PI: G. Faye

    Upcoming Talks & Conferences in 2024


    - Journée Modélisation du vivant , CBI Toulouse, 26/01/2024
    - Journées Jeunes EDPistes de France 2024 , IMT Toulouse, 20-22/03/2024
    - Journées EDP 2024 , Aussois, 3-7/06/2024
    - International Conference on Mathematical Neuroscience , Unervisty College Dublin, 12-14/06/2024
    - Journées Math-Bio de la fédération OcciMath , IMAG Montpellier, 21-22/11/2024
    - Mathematical Modeling of Biological Interfacial Phenomena , Institute for Mathematical and Statistical Innovation, Chicago, 9-13/12/2024

    Short bio


    2015-present: Junior CNRS Researcher, Institut de Matématiques de Toulouse
    2019: Habilitation, Institut de Matématiques de Toulouse
    2014-2015: ERC ReaDi Postdoc, ReaDi Project - EHESS
    2012-2014: Dunham Jackson Assistant Professor, University of Minnesota
    2009-2012: PhD, INRIA Sophia-Antipolis and University of Nice
    2008: "Agrégation" of Mathematics (option: scientific calculus)
    2007-2009: student in Mathematics, Ecole Normale Supérieure de Cachan
    2005-2007: student in Mathematics, Ecole Normale Supérieure de Lyon