# Baptiste Louf

## Contact

baptiste.louf(at)umontreal.ca

I am a postdoc in Montréal (CRM, McGill and UQAM).

Previously, I was a postdoc in the Probability and Combinatorics group of Uppsala University. I did my PhD at IRIF in the Combinatorics team where my advisor was Guillaume Chapuy. Here is my PhD manuscript, and the slides of the defense.

## Research interests

I am interested in combinatorial and probabilistic aspects of discrete geometry. I mainly study *combinatorial maps* (that are graphs embedded on surfaces), but I also work with other families such as graphs, Hurwitz numbers and constellations. Part of my research also involves algebraic methods, in particular the *KP/Toda hierarchies* (integrable sets of differential equations) and characters of the symmetric group.
## Articles and preprints

*Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps*, with Guillaume Chapuy and Harriet Walsh. AofA 2022 (short version). arXiv
*Unicellular maps vs hyperbolic surfaces in large genus: simple closed curves*, with Svante Janson, to appear in *Annals of Probability*. arXiv
*Random generation and scaling limits of fixed genus factorizations into transpositions*, with Valentin Féray and Paul Thévenin, to appear in *Probability Theory and Related Fields*. arXiv
*Short cycles in high genus unicellular maps*, with Svante Janson, in *Annales de l'Institut Henri Poincaré*. arXiv
*Large expanders in high genus unicellular maps*, to appear in *Combinatorial Theory*. arXiv
*Finding large expanders in graphs: from topological minors to induced subgraphs*, with Fiona Skerman, to appear in *Electronic Journal of Combinatorics*. arXiv
*Planarity and non-separating cycles in uniform high genus quadrangulations*, in *Probability Theory and Related Fields*. arXiv
*Local limits of bipartite maps with prescribed face degrees in high genus*, with Thomas Budzinski, in *Annals of Probability*. arXiv
*Local limits of uniform triangulations in high genus*, with Thomas Budzinski, in *Inventiones Mathematicae*. arXiv
*Simple formulas for constellations and bipartite maps with prescribed degrees*, FPSAC 2019 (short version), full version in *Canadian Journal of Mathematics*. arXiv
*A new family of bijections for planar maps*, FPSAC 2018 (short version), full version in *Journal of Combinatorial Theory, Series A*. arXiv

## Talks

2022
Annual meeting of the IMS, London
Combinatorics seminar, Kraków
Groups and dynamics seminar, UTexas
Geometry and topology seminar, UMichigan
Random geometry, CIRM, Marseille
2021
Journées cartes, IRIF, Paris
Probability and combinatorics seminar, Uppsala (joint talk with Paul Thévenin)
Geometry and topology seminar, Uppsala
Combinatorics seminar, UPC, Barcelona
Séminaire combinatoire, LaBRI, Bordeaux
Journées cartes, CIRM, Marseille
2020
Probability and combinatorics seminar, Uppsala
Séminaire combinatoire, IRIF, Paris
Séminaire combinatoire, ICJ, Lyon
Journées combinatoires de Bordeaux, Bordeaux
2019
Journées cartes, Polytechnique
Séminaire combinatoire, IRIF, Paris
AofA, Marseille
Probabilités de demain, Paris Diderot
Séminaire combi du plateau de Saclay, Polytechnique
ALEA Young, Normandie
SLC, Curia (Portugal)
Journées Aléa, Marseille
2018
Journées cartes, ENS, Paris
Séminaire combinatoire, IRIF, Paris
FPSAC 2018, Dartmouth College
Journées Aléa, Marseille