From 1993 to 1994 he did his French military service as a cooperant doing research at the Institutet for rymdfysik (IRF, Swedish Institute of Space Physics).
[4][5] He co-authored, with Cédric Villani and Vincent Moncorgé, the book La Maison des Mathématiques (2015) describing the life of the institute.
Directed by filmmaker Quentin Lazzarotto, the film features major international researchers such as Jocelyn Bell Burnell, Roger Penrose, Thibault Damour, and Carlo Rovelli.
[6] Uzan was one of the keynote speakers invited for the public session of the 26th meeting of the Conférence générale des poids et mesures (CGPM, General Conference on Weights and Measures) on the day of the vote on the historical revision of the International System of Units on November 16, 2018, in Versailles.
He established several constraints on fundamental constants' possible variations, in particular, from primordial nucleosynthesis,[10] cosmic microwave background,[11] population III stars,[12] and the MICROSCOPE satellite results.
In 2001, he proposed, with Francis Bernardeau of the Commissariat à l'énergie atomique et aux énergies alternatives (CEA), a test[14][15] of general relativity at cosmological scales.
[27] In the cosmology of the early universe, he also obtained results concerning the non-Gaussianity of large structures, whether during inflation[28] or generated by nonlinear dynamics (in particular for their observational signatures on the cosmic microwave background[29]), as well as on the theory of perturbations in non-isotropic space-times (of the type Bianchi I).
[30][31][32] With Lev Kofman and Francis Bernardeau, he proposed an extension of inflation leading to a modulation of perturbations during the warming phase.