Pierre Godfard

Pure math 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 updated August 2026, here is the long version: full CV).

Publications and preprints:

On the density and surjectivity of SO(3)-Witten-Reshetikhin-Turaev quantum representations, jointly with Renaud Detcherry and Ramanujan Santharoubane (https://arxiv.org/abs/2607.09633)

Rigidity of SU(2) and SO(3) quantum representations of mapping class groups at prime levels (https://arxiv.org/abs/2511.19795)

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

Semisimplicity of conformal blocks (https://doi.org/10.1515/crelle-2026-0095, https://arxiv.org/abs/2507.06318), Journal für die reine und angewandte Mathematik (Crelles Journal), 2026.

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).