Timothy Roberts

William H. Kruskal Instructor
Department of Statistics and the College
Committee on Computational and Applied Mathematics (CCAM)

Timothy Roberts
Office:
Jones 316

Background

I am originally from Sydney Australia, where I received a BSc (Advanced Maths) from the University of Sydney. I then completed my PhD in 2024 at the Division of Applied Mathematics, Brown University under the supervision of Bjorn Sandstede.

Research

My research interests lie in applying geometric ideas to dynamical systems problems. My past work has centered on two main themes: classical ODES, where I used geometric singular perturbation theory to analyze a model a thermoregulation in the brain; and linear spectral theory of traveling fronts and pulses, where I helped develop a new numerical scheme for detecting the stability of fronts and pulses (in one spatial dimension). My current work focusses on using rigorous, geometric techniques to understand pattern formation in different physical and biological applications.