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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

  1. Presheaves of groupoids as models for homotopy types (2024), To appear soon in Algebraic and Geometric Topology. [arXiv]
  2. Homologie polygraphique des systèmes locaux (2024), Advances in Mathematics, Vol. 448, with Georges Maltsiniotis. [Journal] [arXiv]
  3. Homology of categories via polygraphic resolutions (2021), Journal of Pure and Applied Algebra, Vol. 225, No. 10. [Journal][arXiv]
  4. Polygraphs and discrete Conduché ω-functors (2020), Higher Structures, Vol. 4, No. 2, pp 134-166. [Journal][arXiv]
  5. 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

  1. Fibrantly induced model structures (2023), with Lyne Moser, Maru Sarazola and Paula Verdugo. [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