Welcome
I am currently a post-doc in Paige North's group at Utrecht University. Before that, I was a post-doc at the Max-Planck-Institut für Mathematik in Bonn, and even before that, I did my PhD under the supervision of François Métayer and Clemens Berger at the IRIF laboratory of Université Paris-Cité.
For more details, you can look at my CV.
My main research interests are higher category theory, category theory and homotopy theory.
Research
Publications
- Homology of categories via polygraphic resolutions (2021), Journal of Pure and Applied Algebra, Vol. 225, No. 10. [Journal][arXiv]
- Polygraphs and discrete Conduché ω-functors (2020), Higher Structures, Vol. 4, No. 2, pp 134-166. [Journal][arXiv]
- A unifying approach to the acyclic models method and other lifting lemmas (2017), Theory and Applications of Categories, Vol. 32, No. 25, pp 823-834. [Journal]
Pre-publications
- Homologie polygraphique des systèmes locaux (2023), with Georges Maltsiniotis. [arXiv]
- Fibrantly induced model structures (2023), with Lyne Moser, Maru Sarazola and Paula Verdugo. [arXiv]
- Presheaves of groupoids as models for homotopy types (2022). [arXiv]
PhD
Homology of strict ω-categories (Full dissertation, 215 pages.)
Slides of the defense (First two slides in French, the rest in English.)
Contact
Budapeestlaan, 6, Utrecht
Office 704
Email: l.s.guetta (at) uu (dot) nl