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
