I am a French mathematician, Full Professor of Mathematics at Université Paris-Saclay (Laboratoire de Mathématique d’Orsay). I am also a writer. My first novel Éducation tropicale (Editions Gallimard) was published in 2018 and was awarded the Albert Bernard prize.
Latest news:
- 09/03/26: With Mihajlo Cekić and Sebastián Muñoz-Thon, we have posted on the arXiv our new paper on the decay of correlations on Abelian covers of isometric extensions of Anosov flows. Roughly speaking, these are partially hyperbolic flows on a G x Z^d cover of a closed manifold, where G is a compact Lie group. We show that, under some natural assumptions, the correlation function admits a full asymptotic in inverse powers of time, where the leading term is t^{-d/2}. The proof is based on the Borel-Weil semiclassical calculus developed with M. Cekić in our monograph.
- 17/02/26: With Rafael Potrie, we have just posted on the arXiv a new paper in which we prove propagation of regularity estimates along unstable manifolds of a partially hyperbolic flow. In very rough terms, we prove that distributions that are solution to a transport equation involving the flow generator are globally smooth as soon as they are smooth in restriction to a small open open subset of an unstable leaf. The proofs rely on a leafwise semiclassical pseudodifferential calculus adapted to the foliation which may be of independent interest. This has direct applications to Pollicott-Ruelle resonant states for instance, and should yield other results on measure rigidity for partially hyperbolic dynamical systems.
- 26/01/26: My book Microlocal analysis in Hyperbolic Dynamics and Geometry (Cours spécialisés de la SMF, 2025) is officially out! It can be purchased from the SMF online bookshop here.
- 09/01/26: Open two-year postdoc position, starting September 26, see MathJobs for more information. Deadline for application: February 1, 2026.
EDIT: Due to a technical issue with the Paris-Saclay MathsJobs account, it is currently no longer possible to apply through MathsJobs. We are working to resolve this issue as soon as possible. For this reason, the application deadline has been postponed by a week, until February 8. In the meantime, applications (and reference letters) can be sent to me directly by email (thibault dot lefeuvre1 at universite-paris-saclay dot fr). - 09/01/26: I have posted on the arXiv a review of my recent work with A. Chabert and L. Charles on the magnetic Laplacian over hyperbolic surfaces. This is to be published in the Proceedings of the Journées Equations aux Dérivées Partielles.
THIBAULT LEFEUVRE 