Pierre Godfard

Currently working on Quantum Representations of Mapping Class Groups under the supervision of Julien Marché from École Normale Supérieure (previously at IMJ-PRG).

My research interests: Quantum Topology, Mapping Class Groups, Enumerative Geometry, Hodge Theory.

More precisely, some keywords are: Quantum Representations and TQFTs (Topological Quantum Field Theories), Moduli Spaces of Curves and CohFTs (Cohomological Field Theories), Complex Variations of Hodge Structures.

My CV.

Preprints:

Hodge structures on conformal blocks (https://arxiv.org/abs/2406.07459)

Construction of Hodge structures on the SO(3) modular functors (https://arxiv.org/abs/2402.16804)

Rigidity of Fibonacci representations of mapping class groups  (https://arxiv.org/abs/2303.15366), to appear at Annales de l'Institut Fourier

My introduction au domaine de recherche (brief introduction to my field of research, written as part of my curriculum at the ÉNS, in French).

My Master's thesis  on Daniel Quillen's Higher Algebraic K-theory (in French).