Presentation
- December 2021: PhD thesis defended under the supervision of Gwénaël Massuyeau;
- 2021-2022: ATER (Temporary Research and Teaching Assistant) in Université de Bourgogne;
- 2022-2023: JSPS fellow in the University of Tokyo, supervised by Takuya Sakasai;
- 2023-2025: Postdoc in the University of Zurich, supervised by Anna Beliakova;
- 2025-: Chargé de recherche FNRS in UCLouvain, supervised by Pedro Vaz.
You can find my CV here.
Contact: quentin.faes@uclouvain.be
Research interests
- Low-dimensional topology: 3-manifolds, Heegaard splittings, surgery equivalence relations;
- Finite-type and quantum invariants of knots and 3-manifolds;
- Mapping class groups of surfaces and their representations: Johnson (or Andreadakis) filtration of the Torelli group, automorphisms of free groups;
- TQFT's, ribbon categories...
Publications
- Non-factorizable ribbon Hopf Algebras, 2025, with Maksymilian Manko, (arXiv:2503.19532);
- On the degree-two part of the associated graded of the lower central series of the Torelli group, 2024, with Gwénaël Massuyeau and Masatoshi Sato (arXiv:2407.07981);
- About torsion in the cokernels of the Johnson homomorphisms, 2023, to appear in IMRN (arXiv:2304.12662);
- On the non-triviality of the torsion subgroup of the abelianized Johnson kernel, 2022, with Gwénaël Massuyeau, to appear in Annales de l'Institut Fourier (arXiv:2209.12740);
- Lagrangian traces for the Johnson filtration of the handlebody group, 2022, Topology and its Applications, Vol. 324,(arXiv:2206.10687);
- Triviality of the J4-equivalence among homology 3-spheres, 2021, Transactions of the American Mathematical Society, 375(09), 6597-6620 (arXiv:2105.14253);
- The handlebody group and the images of the second Johnson homomorphism, 2021, Algebraic and Geometric Topology, 23:1 (2023) 243–293 (arXiv:2010.16268).
