Dr Denis Patterson

Biography	I completed my PhD in Applied Mathematics at Dublin City University (Ireland) in 2018. I was then a postdoctoral researcher in the Mathematics Department at Brandeis University with Prof. Jonathan Touboul and subsequently joined the High Meadows Environmental Institute and Prof. Simon Levin’s lab at Princeton University. In August 2023, I joined Department of Mathematical Sciences in the Applied Mathematics Group. In my doctoral work, I studied qualitative properties of nonlinear differential systems with memory and subject to random noise. In my postdoctoral work, I expanded my research interests to include applications of techniques from dynamical systems and stochastic analysis to problems in ecology (savanna-forest modelling), developmental biology (cell fate dynamics in the brain), and epidemiology (malaria immune dynamics). Currently I'm working on mathematical problems related to understanding the movement of forest-savanna boundaries, within-host malaria dynamics (parasite evolution) and coexistence in microbial ecosystems.
Research Interests	Mathematical biology, dynamical systems, (nonlocal) PDEs, stochastic processes, mathematical modelling.
Teaching and Learning	I lecture Michaelmas term of the 4H/Masters-level course "Advanced Mathematical Biology". I’m always open to discussing potential summer research opportunities with motivated students. Please get in touch if you are interested in a summer project on topics related to my research.