Pierre Godfard

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

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 (last update January 2025).

(Pre)-prints:

Rigidity of SU(2) and SO(3) quantum representations of mapping class groups at prime levels (current version available here)

Conformal blocks are quasi-geometric (https://arxiv.org/abs/2509.18393)

Semisimplicity of conformal blocks (https://arxiv.org/abs/2507.06318)

Hodge structures on conformal blocks (https://arxiv.org/abs/2406.07459, v3 with modifications to match "Rigidity of SU(2) and SO(3)...")

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

Rigidity of Fibonacci representations of mapping class groups , Annales de l'Institut Fourier, Tome 75 (2025) no. 6, pp. 2529-2563 (https://doi.org/10.5802/aif.3676, https://arxiv.org/abs/2303.15366) 

The manuscript of my PhD thesis (Introduction in French and in English, other chapters in English).

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).