I am a Visiting Assistant Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst, working under the mentorship of Prof. Andrea R. Nahmod. I obtained my Ph.D. at the University of Birmingham, under the supervision of Prof. Yuzhao Wang and Prof. Jonathan Bennett.

RESEARCH INTERESTS:

Nonlinear Partial Differential Equations and Harmonic Analysis. In particular, the study of nonlinear dispersive PDEs such as nonlinear Schrödinger equations and nonlinear wave equations 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, study of the Gibbs measures, Strichartz estimates in different settings, etc. Moreover, I have broadened my interests in constructive quantum field theory.

Explore my other profiles on:

• arXiv

• Google scholar

• Institutional page

• MathSciNet

• ORCID

Visit my institutional page on the School of Mathematics webpage at the University of Birmingham.