Presentation
I have defended my PhD thesis in low-dimensional topology in December 2021, under the supervision of Pr. Gwénaël Massuyeau.
I was ATER (Temporary Research and Teaching Assistant) in Université de Bourgogne, Dijon, France until September 2022 and a JSPS fellow in the University of Tokyo (postdoc) in 2023. I am now a postdoc in the University of Zurich, under the supervision of Anna Beliakova.
You can find my CV here.
Contact: quentin.faes@math.uzh.ch
Research interests
My research field is low-dimensional topology. My main interests are 3-manifolds, their Heegaard splittings, and surgery equivalence relations among them. I am hence interested in finite-type and quantum invariants of knots and 3-manifolds. In relation, I study mapping class groups of surfaces and their representations, as well as the Johnson (or Andreadakis) filtration of the Torelli group, and automorphisms of free groups.
Publications
- About torsion in the cokernels of the Johnson homomorphisms, 2023 (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, to appear in Topology and its Applications (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, to appear in Algebraic and Geometric Topology (arXiv:2010.16268).
