Jordan Serres

I am a maths teaching assistant at INSA Toulouse .

Previously, I was a postdoctoral research fellow at CREST - ENSAE, IP Paris (Oct. 2022 - Feb. 2024)

I obtained my PhD from Université Paul Sabatier at Institut de Mathématiques de Toulouse in Sept. 2022,
under the supervision of Franck Barthe (Institut de Mathématiques de Toulouse) and Max Fathi (Université Paris cité).

E-mail: jserres AT insa-toulouse.fr

Teaching

Research

List of publications:

Generalized perimeters and gradient estimates, J. Serres. (2024) (HAL)

Isoperimetric and geometric inequalities in quantitative form: Stein's method approach, J. Serres. (2024) (HAL)

A generalization of Grünbaum's inequality in RCD(0,N)-spaces, V. -E. Brunel, S. -I. Ohta and J. Serres. (2024) (arXiv)

Concentration of empirical barycenters in metric spaces, V.-E. Brunel and J. Serres, Proceedings of The 35th International Conference on Algorithmic Learning Theory, PMLR 237:337-361. (2024). (ALT, arXiv)

Behavior of the Poincaré constant along the Polchinski flow, J. Serres, Communications in Contemporary Mathematics, 26 (07). (2024). (CCM, arXiv)

Around stability for functional inequalities, J. Serres, Doctoral dissertation, Université Paul Sabatier-Toulouse III. (2022). (HAL)

Stability of higher order eigenvalues in dimension one, J. Serres, Stochastic Processes and their Applications, 155, 459-484. (2023). (SPA, arXiv)

Stability estimates for the sharp spectral gap bound under a curvature-dimension condition, M. Fathi, I. Gentil and J. Serres, to appear in Annales de l'institut Fourier (Fourier, arXiv)

Stability of the Poincaré constant, J. Serres, Bernoulli 29 (2) 1297 - 1320. (2023). (Bernoulli, HAL)