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Welcome

You are on the professional web page of Frédéric  Paugam.

Current position

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

My current research interests

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, geometry of non-linear partial differential equations, homotopical Poisson reduction of general gauge theories, factorization algebras, perturbative and non-perturbative renormalization; Spontaneous symmetry breaking in number theory, quantum statistical physics of Q-lattices with additional structures.