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.
I received my PhD in Mathematics in 2008 from the University of Rennes 1 (France, National Institute for Research in Digital Science and Technology) and the University of Geneva (double doctorate program). Before joining the University of Geneva in 2013, I was a post-doctoral researcher at the Swiss Federal Institute of Technology, Lausanne and agrégé-préparateur at the École Normale Supérieure de Rennes where I obtained my Research Habilitation in 2013.
My research focuses on the numerical analysis of geometric and multiscale methods for deterministic or stochastic (partial) differential equations, with special emphasis on geometric numerical integration methods with related algebraic structures, and numerical homogenization methods for highly oscillatory problems.
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).
I am a member of the advising committee for studies in Mathematics, Computer Sciences and Numerical Sciences (Bachelor and Master).

News and forthcoming organized workshops and conference.

Workshop Numerical methods for complex high-dimensional systems, Bay & Bush in Jervis bay, NSW, Australia, July 2024 (organized with Georg Gottwald).
Swiss Numerical Analysis Day 2024, Univ. Geneva, 10 Sep. 2024 (organized with Martin Gander and Bart Vandereycken).

Since Nov. 2019, I am a member of the editorial board of AIMS Applied Mathematics books.

Past events.
Workshop on Constrained Dynamics, Stochastic Numerical Methods and the Modeling of Complex Systems, Oberwolfach, 26-31 May 2024 (organized with Benedict Leimkuhler, Richard Tsai, Rachel Ward).
Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs, University of Geneva, 29-30-31 August 2017 (organized with Martin Gander, Bart Vandereycken and Peter Wittwer).
Workshop of Multiscale methods for stochastic dynamics, University of Geneva, 1 Jan.-2 Feb. 2017 (organized with Georg Gottwald, see the videos).
Workshop on Multiscale methods for deterministic and stochastic dynamics, University of Geneva, 29-30 Jan. 2020 (organized with Georg Gottwald, see the videos).

Research interests: Numerical analysis of differential equations.

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

Current research group.

PhD students:

Former PhD student:

Former members:

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

Contact info.

Mailing address:
Gilles Vilmart
Université de Genève
Section de mathématiques
24, rue du Général Dufour
Case postale 64
1211 Geneva 4, Switzerland

Physical address (for package deliveries):
Section de mathématiques
7-9 rue du Conseil-Général
1205 Geneva, Switzerland

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

Last update: 16-Jul-2024