I am interested in the formalization of mathematics (type theory, set theory, etc.), in proof processing systems (proof-checking, automated theorem proving, etc.), in physics of computation, in the safety of aerospace systems, and in the epistemology and ethics of informatics. Here is the list of my scientific papers and some books and philosophical papers.
I contribute to the Logique course in the third year of the bachelor degree. I contribute to the preparation of the Agrégation de mathématiques. I teach the course Foundations of proof systems at the MPRI. Here are its course notes Proofs in theories. Here are the videos of ten lectures of 1:30 each of the course the principles of programming languages I taught at École polytechnique.
I am interested in education and I try to draw the attention of the adminstration to the need of introducing computer science in K-12. I am a member of the joint ITIC group of the Société Informatique de France and the organization Enseignement public & informatique. I have been a member of the Committee apointed by the Minister of Education to suggest a computer science curiculum for senior high school students, this has lead to the curiculum published in the Bulletin officiel on October 13th 2011. I have participated to the report of the Academy of Sciences L'enseignement de l'informatique - Il est urgent de ne plus attendre. I am a member of the Scientific board of La main à la pâte.
I am a member of the Scientific board of the Societé informatique de France and of the CERNA, Commission de réflexion sur l'éthique de la recherche en sciences et technologies du numérique d'Allistene, l'Alliance des sciences et technologies du numérique. In the past, I have been Deputy Scientific Director of Inria in charge of the domain Algorithmic, Programming, Software and Architectures.
I also have been a consultant for the National Institute of Aerospace, a lab of the NASA Langley research center. Among other things, I have participated to the development and the proof of ACCoRD, an Airborne Coordinated Conflict Resolution and Detection system.