Nonlinear Partial Differential Equations and Harmonic Analysis. In particular, the study of nonlinear dispersive PDEs such as nonlinear Schrödinger equations, nonlinear wave equations, and the KdV equation by using techniques from PDEs, Harmonic Analysis, and Probability theory. Mainly, well-posedness (existence, uniqueness, and stability of solutions) in both deterministic and probabilistic settings, existence of invariant measures, Strichartz estimates in different settings, etc. Also, interested in Fourier restriction theory and \(\ell^2\) decoupling theory.Seminars: Analysis Seminar, UoE seminars, ICMS events, London Analysis and Probability Seminar, Paris-London Analysis Seminar
Postdoctoral researcher at University of Massachusetts Amherst since 2024, USA.
Assistant Professor at Beijing Institute of Technology since 2024, China.
Postdoctoral researcher at ShanghaiTech University, 2024 - 2027, China.
Associate professor at Yokohama National University since 2024, Japan.