Departament de Matemàtiques

Universitat Autònoma de Barcelona

08193 Bellaterra (Barcelona)

Espanya

Email: louiscarlier#mat.uab.cat

Office: C1/310

I'm a PhD student at the Autonomous University of Barcelona, under the supervision of Joachim Kock, primarily interested in algebraic topology and higher category theory, but also in combinatorics and mathematical physics.

- Hereditary species as monoidal decomposition spaces, comodule bialgebras, and operadic categories
- Möbius functions of directed restriction species and free operads, via the generalised Rota formula
- Antipodes of monoidal decomposition spaces, with Joachim Kock
- Incidence bicomodules, Möbius inversion, and a Rota formula for infinity adjunctions

*Hereditary species as monoidal decomposition spaces*, CSASC 2018, Bratislava, September 2018*Hereditary species as monoidal decomposition spaces*, topology seminar of the Barcelona Algebraic Topology Group, September 2018*Incidence bicomodules from certain double Segal spaces*, VI Encuentro de Jóvenes Topólogas y Topólogos, October 2017*Incidence bicomodules from certain double Segal spaces*, topology seminar of the Barcelona Algebraic Topology Group, June 2017*Join and slices, limits and colimits*, working group on infinity categories, Barcelona, November 2016*Tensor triangulated categories*, topology seminar of the Barcelona Algebraic Topology Group, March 2016