Present affiliation: permanent research and teaching position at University of Geneva, Section of mathematics.

I am a senior lecturer (Maître d'enseignement et de recherche) at University of Geneva, Section of Mathematics.

Prior to joining the University of Geneva in 2013, I was post-doc at EPFL (2009-2011) and agrégé-préparateur at ENS Rennes (2011-2013). I received my PhD in Mathematics in 2008 at University of Rennes 1 (INRIA Rennes) and University of Geneva (double doctorate program), and I obtained my Research Habilitation in 2013 at ENS Rennes (ex: ENS Cachan Bretagne).
In 2013, I received the Young Researcher First Prize 2013 (Mathematics) of the Region Bretagne (France).

Former affiliations: Ecole Polytechnique Fédérale de Lausanne (EPFL), Université de Rennes 1 (IRMAR), INRIA Rennes (IPSO), Ecole Normale Supérieure de Rennes.

We organize the numerical analysis seminar together with Martin Gander and Bart Vandereycken.
I am a member of the Swiss mathematical society, Swiccomas, and SMAI (France).
I am a member of the CAMAS Consulting platform (Section of Mathematics, University of Geneva).

Since Nov. 2019, I am a member of the editorial board of AIMS Applied Mathematics books.
We organize the Workshop Numerical methods for complex high-dimensional systems, University of Sydney, July. 2021.

Past events.
We organized the Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs, University of Geneva, 29-30-31 August 2017.
We organized the Workshop of Multiscale methods for stochastic dynamics, University of Geneva, 1 Jan.-2 Feb. 2017 (see the videos).
We organized the Workshop on Multiscale methods for deterministic and stochastic dynamics, University of Geneva, 29-30 Jan. 2020 (see the videos).

Research interests: Numerical analysis of differential equations.

  • Geometric numerical integration and related algebraic structures (ODEs),
  • Numerical homogenization methods for multiscale PDEs,
  • Numerical methods for stochastic (partial) differential equations (SDEs and SPDEs).

Current research group.

PhD students:

  • Ibrahim Almuslimani (PhD student from Sept. 2016 to Nov. 2020),
    Ibrahim wins a SNSF Early Postdoc Mobility Grant starting on Dec. 2020 at INRIA Rennes.
  • Guillaume Bertoli (since Sept. 2017),
  • Adrien Laurent (since Sept. 2017),
  • Nicolas Masson (since Sept. 2020).

Former members:

  • Mahdieh Arezoomandian (Apr. 2017-Jan. 2018, Visiting PhD student “Boursière d’excellence”, Ferdowsi University of Mashhad, Iran)

Contact info.

Gilles Vilmart
Université de Genève
Section de mathématiques
2-4 rue du Lièvre,
Case postale 64
1211 Genève 4

Gilles.Vilmart (at)
Tel: +41 22 379 11 61

Last update: 03-Jul-2020