Adjunct professor, Department of Mathematics, Cornell University, New York.
Visiting Professor 2024-2025 - from April 1 to April 30, 2025
Inviting Professor: Nikolay Tzvetkov
Biography
Philippe Sosoe is Adjunct professor in the Department of Mathematics at Cornell University (New York). He received his PhD in mathematics from Princeton University in June 2014 for which he defended his thesis "Fluctuation Bounds for Two Disordered Models". He is now a specialist in stochastic methods applied to problems arising from mathematical physics.
Collaboration with UMPA Laboratory
Philippe Sosoe is currently working on problems related to so-called Gibbs measures for the nonlinear Schrödinger equation with Kihoon Seong (postdoc at Cornell) and Tadahiro Oh (University of Edinburgh). During his two-month visit, he hopes to exchange ideas with Professor Nikolay Tzvetkov, while continuing his work on the behavior of infinite-dimensional Gibbs measures and, more generally, dispersive equations with random data.
In addition to benefiting from Professor Tzvetkov’s expertise in partial differential equations (PDEs), he is also counting on his arrival at ENS de Lyon to create new contacts with other researchers in probability and other fields close to his own.
In particular, he expects fruitful exchanges and possible scientific collaboration around three main research topics:
- the quantitative asymptotic description of the distribution of solutions of dispersive PDEs with random data;
- the existence of dispersive PDE solutions with random data in the non-compact stationary case;
- quasi-invariance and regularity.
Philippe Sosoe proposes to give lectures or courses for students and researchers in the following areas:
- Ergodicity for Dyson Brownian motion and applications to large random matrices.
- Gibbs measures associated with the nonlinear Schrödinger equation.
- Fluctuations in polymer models or last-pass percolation of the Kardar-Parisi-Zhang class.
Distinctions
5. NSF CAREER Award 2238423, 2023-2027.
4. NSF Award DMS 2154090, Probability, 2022-2025.
3. Simons Collaboration Grant, 2021-2026.
2. NSF Award DMS 1811093, Probability, 2018-2021.
1. Centennial Fellowship, Princeton University, 2009-2013.
Major publications
- B. Landon, P. Sosoe, Almost-optimal bulk regularity conditions in the CLT for Wigner matrices,
preprint arXiv:2204.03419. - B. Landon, P. Sosoe Upper tail bounds for stationary KPZ models, Communications in Mathematical Physics , 2023.
- S. Chatterjee, J. Hanson, P. Sosoe, Subcritical Connectivity Properties and Some Exact Tail Exponents in High Dimensional Percolation. Communications in Mathematical Physics , 2022
- B. Landon, C. Noack, P. Sosoe, KPZ-type fluctuation bounds for interacting diffusions in equilibrium, Annals of Probability , 2022.
- B. Landon, P. Lopatto, P. Sosoe, Single eigenvalue universality for generalized Wigner matrices, Probability Theory and Related Fields, 2022.
- T. Oh, P. Sosoe, L. Tolomeo, Optimal Integrability Threshold for Gibbs Measures associated with focusing NLS on the torus. Inventiones Mathematicae, 2022.
- C. Noack, P. Sosoe. Central moments of the O’Connell-Yor polymer. Annals of Applied Probability , 2022.
- M. Damron, J. Hanson, P. Sosoe, Strict inequality for the chemical distance exponent in two dimensional percolation, Communications in Pure and Applied Mathematics 74, 2020.
- B. Landon, P. Sosoe, H.T. Yau, Fixed energy universality of Dyson Brownian Motion, Advances in Mathematics 346, 2019.
- T. Oh, P. Sosoe, N. Tzvetkov, An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr-odinger equation, Journal de l’École Polytechnique 5, 2018.
- M. Damron, J. Hanson, P. Sosoe, Sublinear variance in first-passage percolation for general distributions. Probability Theory and Related Fields 163, 2015.
- P. Sosoe, P. Wong, Regularity conditions in the central limit theorem for linear statistics of random matrices. Advances in Mathematics 249, 2013.