I am working in probability theory. I have been a CNRS researcher at the DMA within École Normale supérieure since September 2020. Additionally, since September 2021, I have been an associate professor in the DMA. Prior to this, from October 2015 to August 2020, I was affiliated with University Paris-Dauphine.
My current main research topics are random Schrödinger operators and random matrices, in particular the phenomenon of localization/delocalization. I have also been interested in SLE processes, conformal invariance, statistical models and near-criticality, and self-interacting
processes.
Localization crossover for the continuous Anderson Hamiltonian in 1-d, with Cyril Labbé. Inventiones mathematicae. 2024.
Simulation of three eigenvectors of the 1-d Schrödinger operator -d^2/dt^2 + B' (where B' is the white noise). Left one: the first eigenvector, middle one, 200th eigenvector and right one 700th eigenvector. We observe the transition from strongly localized to delocalized.
Large deviations and path properties of the true self-repelling
motion. arXiv:1105.2948 . Bulletin de la SMF . 2011.
Publication in applied mathematics :
Acoustic and geoacoustic inverse problems in randomly perturbed shallow-water environments, with Josselin Garnier and Guilhem Lepoultier. arXiv:1812.10141 . accepted in JASA. 2019.
Lecture notes
Lecture notes (in French) of a mini-course on Random matrices and graphs and some applications to correlation matrices given in Bordeaux (draft).