Bonjour, il y aura une boruse mathSTIC cette année, dont la règle est qu'il faut un co-encadrement sur 2 laboratoires. J'ai un élève de M2 très bon qui cherche une possible thèse à paris. Il s'agit de Grzegorz Czech (un nom prédestiné). Je ne sais pas si il y a des gens qui ont des idées de sujet qui marcheraient dans ce cadre : Quelques infos que je copy paste : "Recently my studies have been focused on homotopy theory and its structural foundations, with particular attention to higher categorical and higher algebraic structures. I am drawn to questions where homotopy-theoretic methods make contact with geometry, algebra, or mathematical physics. My master's thesis, currently in progress under the supervision of Karol Szumiło at the University of Warsaw, develops a theory of a particular class of Grothendieck fibrations over 2-groupoids, which we call 2-coverings. The project is motivated by the observation that classical covering space theory admits a reformulation in terms of functors from the fundamental groupoid into sets, which extends elegantly to ∞-groupoids via Lurie's straightening-unstraightening. The intermediate case of 2-groupoids — which the modern literature tends to bypass — turns out to be tractable and concretely calculable in ways that the fully ∞-categorical theory is not, and I believe this computational accessibility may be a genuine advantage worth exploiting further." Il est ouvert à des directions ver HoTT par exemple (mais n'y connait aps grand chose) et tout ce qui est higher categorical. Grégory
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