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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.