Français
Lille Geometry and Dynamics seminar.
Presentation
Since September 2023, I am an assistant professor (maître de conférence) in the mathematics department of the university of Lille.
My PhD thesis was realized with Prof. Pierre Pansu in the Université Paris-Sud (now Paris-Saclay) in 2019. It was motivated by the work and questions of Yves Cornulier.
Here is an academic family picture.
Research
Interests
I work in geometric group theory, using tools coming from geometric analysis in the broad sense (i.e., on metric spaces). The main objects that I study are Lie groups and their lattices.
Here is a short version of an old research statement.
Preprints
- [PDF (56p), arXiv]
with Jerónimo García-Mejía and Claudio Llosa Isenrich, On the Dehn functions of central products of nilpotent groups (2023). Here is the SageMath code coming with the paper.
- [PDF (5p), arXiv] On the finitely generated groups quasiisometric to bifiliform-by-cyclic groups, appendix to Geometric rigidity of quasi-isometries in horospherical products by Tom Ferragut, submitted (2022).
- [PDF (24p), arXiv] with Yulan Qing, Sublinear bilipschitz equivalence and sublinearly Morse boundaries, submitted (2022).
Papers (published, accepted or to appear)
- [PDF (31p), arXiv] with Enrico Le Donne et Xiangdong Xie, Rough similarity of left-invariant Riemannian metrics on some Lie groups, Groups, Geometry, and Dynamics.
- [PDF (51p), arXiv, journal, BibTex] On the logarithmic coarse structures of Lie groups and hyperbolic spaces, Geom. Dedicata 216, 56 (2022).
Some of the numbers of the references in the printed version are wrong, they are correct on the preprint version.
- [PDF (64p), arXiv, journal, BibTex] with Claudio Llosa Isenrich and Romain Tessera, Cone-equivalent nilpotent groups with different Dehn functions, Proc. Lond. Math. Soc. (3) 126 (2), 704-789 (2023).
- [PDF (33p), arXiv, journal, BibTex] Sublinear quasiconformality and the large-scale geometry of Heintze groups, Conform. Geom. Dyn. 24, 131-163 (2020).
- [PDF (42p), arXiv, journal, BibTex] Large-scale sublinearly Lipschitz geometry of hyperbolic spaces, J. Inst. Math. Jussieu 19 (6), 1831-1876 (2020).
Theses
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[archive, slides] Sublinear asymptotic geometry, PhD thesis. Erratum (pdf).
The earliest two publications above are extracted from this manuscript.
- [PDF (99p), slides] Isopérimétrie des métriques périodiques, Master thesis (in French). Defended in Orsay on August 31, 2016.
Some selected presentations and posters
- [slides] Quasi-isometries and rough isometries of solvable Lie groups (Heidelberg, Geometry day, 2023)
- [slides] Sublinear coarse structures and Lie groups (YGGT Lightning talk, 2021)
- [notes, Slides] Dehn functions of nilpotent groups
- [slides (long)] Géométrie à grande échelle des groupes de Lie de courbure négative (Marseille, 2019).
- [slides (short)] Sublinearly quasisymmetric homeomorphisms (Jyväskylä, 2019).
- [poster] Large-scale sublinearly Lipschitz geometry of hyperbolic spaces (Rennes 2017)
- [poster] Invariants for sublinear bilipschitz equivalence (Oxford 2019).
Some presentations of my research to a general mathematical audience
- [slides] Looking at Lie groups through Gromov's telescope (Bern, 2022)
- [slides] Géométrie hyperbolique à grande échelle (Lyon, 2018; in French).
- [slides] Géométrie hyperbolique sous-linéairement lipschitzienne à grande échelle (Rennes, 2017; in French).
Reviews for Zentralblatt and Mathematical Reviews (the latter requires access to MathSciNet).
Translation and notes on P. Pansu's Carnot-Carathéodory metrics and quasiisometries of rank one symmetric spaces.
Online reading seminar on the works of Kleiner, Müller and Xie (February- April 2023), co-organized with Francesca Tripaldi.
Teaching
Almost all the teaching material I produced is available only in French and can be found on the French version of this webpage.
Other mathematical writings
Includes some writings in French.
- PDF (20p) SET ou la pêche à la ligne [The card game SET, or: Finding a haystack without a needle], Quadrature 106 (2017), 25-34.
- PDF (5p), Une géométrie pour les graphes d'amitié [A geometry for friendship graphs], Quadrature 99 (2016), 16-19. An addendum (PDF) (not published).
- slides Comment jouer (et gagner) au morpions sur les surfaces ?
- 2017: slides of the presentation Johannes Kepler's mathematical stars. Star polyhedra and Riemann surfaces.
- 2016: notes (38p) of the Master course ``Introduction à la théorie mesurée des groupes'' given by Romain Tessera in Orsay (in French). Mostly, exercises with or without correction. With an appendix presenting an elementary proof of the quartic growth of the first Heisenberg group.
- 2014: lecture notes (11p), Transfert et groupes finis [On the transfer homomorphism and finite groups]: lecture notes of a student's seminar enumerating the groups of order 2014 or 2015.
Gallery
Last update: January 2024.