Simon Zugmeyer

Postdoctoral researcher at the ENS Lyon, teaching students preparing the agrégation exam and part of the analysis et modelling team. Before that, I was a member of the MAP5 lab, working with Nathaël Gozlan. Until 2019, I was a PhD student in Lyon under the supervision of both Louis Dupaigne and Ivan Gentil.

office 419

Research themes

Partial differential equations
Optimal functional inequalities
Optimal transport
More details in this presentation (in French)


  1. [arXiv] Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no.3, 861-885.
  2. [arXiv] A family of Beckner inequalities under various curvature-dimension conditions (2019), with Ivan Gentil, to be published in Bernoulli.
  3. [HAL] Entropy flows and functional inequalities in convex sets (2019), submitted.
  4. [HAL] Sobolev's inequality under a curvature-dimension condition (2020), with Louis Dupaigne and Ivan Gentil, to be published in Annales Mathématiques de Toulouse.
  5. [arXiv] Transport proofs of some functional inverse Santaló inequalities (2021), with Matthieu Fradelizi and Nathaël Gozlan, submitted.

You can find the manuscript of my thesis here.