Rui Liang

Rui Liang is a Visiting Assistant Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst, working under Prof. Andrea R. Nahmod. He holds a Ph.D. from the University of Birmingham (UK), where he studied under Prof. Yuzhao Wang and Prof. Jonathan Bennett, and an MSc from South China Normal University.

Education:

• Ph.D. in Pure Mathematics (2020–2024), University of Birmingham
• MSc in Mathematics (2017–2020), South China Normal University
• BSc in Mathematics (2013–2017), South China Normal University

Research Interests: Focuses on nonlinear dispersive PDEs (e.g., nonlinear Schrödinger and wave equations), harmonic analysis, and probabilistic methods. Explores well-posedness, invariant measures (e.g., Gibbs measures), Strichartz estimates, and constructive quantum field theory.

Recent Talks/Conferences:

• 'Random averaging operator, random tensor, and FNLS' (2025, University of Birmingham & UMass Amherst)
• 'Hyperbolic stochastic quantization' (2023, Oberwolfach)

Active in workshops on dispersive PDEs and harmonic analysis.

Other Contributions: Referee for La Matematica and Journal of Fourier Analysis and Applications. Authored detailed notes on quantum field theory and relativity.