Home

You are on the professional web page of Frédéric  Paugam.

Maître de conférences (permanent position), Institut de Mathématiques de Jussieu, team  Analyse Algébrique.

My curriculum vitae .

Arithmetic geometry: Global analytic geometry, global motivic and derived geometry, cohomological invariants of arithmetic varieties; moduli spaces, Abelian varieties, Hodge structures, Galois representations, Shimura varieties, Mumford-Tate groups, representations of reductive groups.

Interactions physics/geometries: Algebraic and categorical methods in quantum field theory, derived geometry of non-linear partial differential equations, homotopical Poisson reduction of general gauge theories, derived nonlinear Cauchy problem, factorization algebras, perturbative and non-perturbative renormalization; Spontaneous symmetry breaking in number theory, quantum statistical physics of Q-lattices with additional structures.

Constructive mathematics: Constructive Berkovich-Gelfand duality.

Interactions between mathematics and theoretical computer science: Type theory and category theory, directed spaces and concurrency, automatic certified reasoning, mathematical game theory.