Rui Liang

Mailing Address:

School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
United Kingdom

e-mail: rxl833 (at) student dot bham dot ac dot uk

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I am a PhD student in the School of Mathematics at the University of Birmingham, under the supervision of Yuzhao Wang.

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.

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