Baptiste Louf
Contact
Institut de Mathématiques de Toulouse
Bureau 1R1-214
118, route de Narbonne
F-31062 Toulouse Cedex 9
baptiste.louf(at)math.univ-toulouse.fr
I am a "Chargé de Recherche" CNRS at Institut de Mathématiques de Toulouse.
Together with Mireille Bousquet-Mélou, we supervise the PhD of Juliette Schabanel.
I am the PI of the "ANR JCJC" grant HighGG, on which Simon Barazer is a postdoc.
Since 2025, I am a co-organizer of Journées de Combinatoire de Bordeaux
I was previously a CR CNRS in Bordeaux. Before that, I did postdocs in Montréal and Uppsala. 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
Geometry of surfaces and enumeration (in a broad sense). I mainly study combinatorial maps (i.e. graphs embedded on surfaces), but I also work with other models of surfaces and combinatorial families. These days, I am particularly interested in large genus behaviour, bivariate asymptotics and the link with integrable hierachies.
Articles and preprints
- High genus one part monotone Hurwitz numbers, with Simon Barazer. arXiv
- Large expander subgraphs in high genus triangulations, with Tanguy Lions. arXiv
- The separating systole and the genus ratio of high genus triangulations. arXiv
- Phase transition for Minesweeper. arXiv
- Bivariate asymptotics via random walks: application to large genus maps, with Andrew Elvey-Price, Wenjie Fang and Michael Wallner, in FPSAC 2025 (short version). arXiv
- The Ising model on cubic maps: arbitrary genus, with Mireille Bousquet-Mélou and Ariane Carrance. arXiv
- Slit-slide-sew bijections for oriented planar maps, with Jérémie Bettinelli and Eric Fusy, to appear in Combinatorial Theory. arXiv
- 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, in Annals of Probability. 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 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
