Since 2015, I am a Principal Investigator in the research program SPP1786 on homotopy theory and algebraic geometry coordinated by M. Levine; attached to the Zahlentheorie Lehrstuhl of Michael Dettweiler. My previous positions were in Michael Weiss' Leray AG in Algebraic Topology at WW Universität Münster and at the Institute of Mathematics of Jussieu - PRG at Paris 6 University Pierre and Marie Curie.


My research focuses on various aspects of the Arithmetic Geometry of moduli stacks of curves in terms of the Deligne-Mumford and the stack inertia stratifications. My approach covers the topics of simplicial and homotopical algebraic geometry -- i.e. model category and motivic considerations for stacks à la Morel-Voevodsky --, of the arithmetic of the geometry of curves -- e.g. G-covers, irreducible components of Hurwitz spaces, étale fundamental group --, methods from Grothendieck-Teichmüller theory -- e.g. mapping class groups, pants decompositions, Serre bonté --, and the arithmetic of operads -- in genus 0 via Friedlander étale topological type and prospaces.

Recent Activities

See here for more talks by topics, or here for organization of conferences and seminars, and here for international invitations.



Thesis : Groupes de Grothendieck-Teichmüller et inertie champêtre des espaces de modules de courbes de genre zéro et un.




During the Summer semester 2018: advanced lecture for PhD and posdoctoral students on ``Stacks and homotopy algebraic geometry'', see the moodle page of the lecture for programme and references.

Contact Informations

Benjamin Collas :: Universität Bayreuth, Mathematisches Institut, Lehrstuhl für Zahlentheorie, D-95440 Bayreuth, Germany :: Tel: +49 (0)921/55-3288 * :: :: PGP Key :: Office: NW II, Raum 734.

:: G+ Profile :: MatSciNet Profile

Update: 2018 -- 3D tags sphere