I am an ATER (temporary lecturer) in mathematics at University of Saint-Etienne, France. My work focuses mainly on group cohomology, 2-dimensional categories and (higher) categorification.
My PhD thesis (Group representations through 2-sheaves) has been written under the supervision of Ivo Dell'Ambrogio at University of Lille. It focuses on presenting the structure of 2-sheaves that various families of categories relevant to representations exhibit, and how this structure can be exploited.
My mail address is "first name" dot "last name" at gmail dot com. My CV can be found here.
In p-modular representation theory, the Cartan-Eilenberg formula express the cohomology of a group G as a limit of the cohomology its p-subgroups. This article presents an analogous formula, expressing categories associated to the group G - such as the category of modules, or its derived category - as a 2-dimensional limit of the corresponding categories of the p-subgroups of G.
2-final 2-functors are 2-functors along which it is possible to reindex a bicolimit, without changing its value. This articles characterizes 2-final 2-functors using a topological criterion.