Profile Picture


Welcome

I am currently a post-doc at the Max-Planck-Institut für Mathematik in Bonn, Germany.

Before that, I did my PhD under the supervision of François Métayer and Clemens Berger at the IRIF laboratory of Universit√© de Paris, and graduated in January 2021.

For more details, you can look at my CV.

My main research interests are category theory, higher category theory and homotopy theory.


Research

Publications

  1. Homology of categories via polygraphic resolutions Journal of Pure and Applied Algebra, Vol. 225, No. 10, 2021.
  2. Polygraphs and discrete Conduché ω-functors Higher Structures, Vol. 4, No. 2, pp 134-166, 2020.
  3. A unifying approach to the acyclic models method and other lifting lemmas Theory and Applications of Categories, Vol. 32, No. 25, pp 823-834, 2017.

Pre-publications

  1. Fibrantly induced model structures arXiv:2301.07801, with Lyne Moser, Maru Sarazola and Paula Verdugo.
  2. Presheaves of groupoids as models for homotopy types arXiv:2209.13346

PhD

Homology of strict ω-categories (Full dissertation, 215 pages.)

Slides of the defense (First two slides in French, the rest in English.)

Contact

Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

Office B17

Email: guetta (at) mpim-bonn (dot) mpg (dot) de