Research and teaching interests

My research and teaching interests are contained in the mathematical area of Analysis. My research focuses primarily on theoretical results in nonlinear partial differential equations (PDEs). Nonlinear PDEs arise as models representing physical phenomena such as diffusion processes, crowd dynamics and colliding gas particles. I am interested in proving whether solutions to such PDEs exist, are unique, satisfy some regularity properties and/or what the asymptotic behaviour might be.

My teaching interests mirror my own historical training towards research in PDEs. Specifically, I enjoy teaching Analysis and Analysis-adjacent courses which emphasise and anticipate ideas in current research trends in PDEs. I have also had the privilege of teaching more applied courses such as introductory differential and integral Calculus, techniques in ordinary differential equations and traffic flow modelling.