Latest News
Recent preprints & publications
Preprint The linearized Korteweg-de Vries equation on the line with metric graph defects
Accepted Jumps and cusps: a new revival effect in local dispersive PDEs
Published Revivals, or the Talbot effect, for the Airy equation
Published The Airy equation with nonlocal conditions
Published The role of periodicity in the solution of third order boundary value problems
Published Fokas Diagonalization
Research
I am an analyst working in the field of partial differential equations. Specifically, I study linear initial boundary value problems and spectral theory of the associated differential operators. I am particularly interested in problems of high spatial order and those with exotic boundary conditions. Understanding the efficacy of the Fokas transform method (unified transform method) has been a major focus of my research. I also study the phenomena of revivals and fractalization that appear in dispersive systems.
My research page contains more information.
Research with undergraduate students
I have an active program of research with students, including undergraduate students in my previous role at Yale-NUS College. You can find out more at the Unified transform lab website.
Teaching
I enjoy teaching university level mathematics. I recently taught modules on proof, complex analysus, ordinary and partial differential equations, and applied calculus at Yale-NUS College. At University of Michigan and University of Cincinnati, I taught courses on boundary value problems, calculus & precalculus. At University of Reading, I taught 1st and 2nd year courses on real analysis.
I completed the University of Reading's Teaching & Learning Support Programme, entitling me to Associate Fellowship of the UK Higher Education Academy.