Baptiste Louf

Contact

Institut de Mathématiques de Bordeaux
Bureau 313, bâtiment A33
351, cours de la Libération
33405 TALENCE

baptiste.louf(at)math.u-bordeaux.fr

I am a "Chargé de Recherche" CNRS at Institut de Mathématiques de Bordeaux.

Previously, I was a postdoc in Montréal (CRM, McGill and UQAM) and 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

Modularity and graph expansion, with Fiona Skerman and Colin McDiarmid, in ITCS 2024. arXiv
Distances and isoperimetric inequalities in random triangulations of high genus, with Thomas Budzinski and Guillaume Chapuy. arXiv
Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps, with Guillaume Chapuy and Harriet Walsh. AofA 2022 (short version), full version to appear in Annals of Probability. arXiv
Unicellular maps vs hyperbolic surfaces in large genus: simple closed curves, with Svante Janson, in Annals of Probability. arXiv
Random generation and scaling limits of fixed genus factorizations into transpositions, with Valentin Féray and Paul Thévenin, 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, in Combinatorial Theory. arXiv
Finding large expanders in graphs: from topological minors to induced subgraphs, with Fiona Skerman, 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