About Me

I am a Ph.D. student in the Department of Mathematics at The University of Texas at Austin, working with Professor Thomas Chen.

My research interests: Analysis of PDEs and Mathematical Physics.

Currently, I am working on some spectral and dynamical problems in quantum field theory. In particular,

• Scaling limits of quantum dynamical systems.
• Bose-Einstein Condensation (BEC) formation.

Before joining UT Austin, I completed my M.Sc. in Applied Mathematics at Kyoto University, where I was affiliated with the Research Institute for Mathematical Sciences (RIMS), under the supervision of Professor Kenji Nakanishi.

Feel free to browse my publications, view my CV, or contact me by email.

Recent Works:

• On the modified Zakharov--Kuznetsov equation on the cylinder: A trilinear Bourgain-space estimate and its application to local well-posedness
  Authors: Ali Mezher
  Published in arXiv, 2026
• Trapped bosons in mean field QED, nonlinear resonance cascades and dynamical BEC formation
  Authors: Thomas Chen and Ali Mezher
  Published in arXiv, 2026
• An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method
  Authors: Ali Mezher (=Ali Joohy), Ghassan A. Al-Juaifri, and Mohammed S. Mechee
  Published in International Journal of Differential Equations, 2020