Louis Carlier

Email: louiscarlier#mat.uab.cat

I received my PhD from the Autonomous University of Barcelona in 2019 under the supervision of Joachim Kock.

Thesis

• Objective combinatorics through decomposition spaces

Papers (articles on arxiv)

• Antipodes of monoidal decomposition spaces with Joachim Kock, Communications in Contemporary Mathematics Vol. 22, No. 02, 1850081 (2020).
• Incidence bicomodules, Möbius inversion, and a Rota formula for infinity adjunctions, Algebraic and Geometric Topology 20 (2020) 169–213
• Möbius functions of directed restriction species and free operads, via the generalised Rota formula, Mediterranean Journal of Mathematics 18, 170 (2021).
• Hereditary species as monoidal decomposition spaces, comodule bialgebras, and operadic categories, International Mathematics Research Notices, rnaa260 (2021).