Jordan Serres
Postdoctoral research fellow, (CREST - ENSAE) (October 2022 - February 2024)
PhD in mathematics, Institut de Mathématique de Toulouse (IMT) (October 2019 - September 2022)
Advisors : Franck Barthe (Institut de Mathématiques de Toulouse) and Max Fathi (Laboratoire Jacques-Louis Lions, Paris).
E-mail: jordan.lastname AT ensae.fr
Research:
Main research interests:
- Stein's method,
spectral inequalities, Poincaré inequalities,
Markov semigroup
- Geometry of metric measure spaces satisfying a Curvature-Dimension condition
- Isoperimetric inequalities, Geometry in Gauss space.
- Stability of functional inequalities, Renormalization group, Polchinski RG
- Non linear statistics, Statistical estimation in metric spaces
(pre)Publications:
- Stability of the Poincaré constant, J. Serres, Bernoulli 29 (2) 1297 - 1320, May 2023. https://doi.org/10.3150/22-BEJ1499 (HAL version)
- Stability estimates for the sharp spectral gap bound under a curvature-dimension condition, Max Fathi, Ivan Gentil and Jordan Serres, to appear in Annales de l'institut Fourier (arXiv version)
- Stability for higher order eigenvalues in dimension one, J. Serres, Stochastic Processes and their Applications,
Volume 155,
2023,
Pages 459-484,
ISSN 0304-4149,
(HAL version)
- Behavior of the Poincaré constant along the Polchinski flow, J. Serres, to appear in Communications in Contemporary Mathematics ( arXiv version)
- Concentration of empirical barycenters in metric spaces, Victor-Emmanuel Brunel and Jordan Serres, arXiv preprint (2023). ( arXiv version)
Enseignement:
- L1-Mathématiques
- colles L3