+44 1865 615166
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
My research so far has been focused on using multiscale methods (most notably asymptotic homogenisation) to solve problems originating in biology and medicine (plant nutrient uptake, blood flow in microvascular networks). More broadly, I am interested in applications and further development of tools from mathematical analysis (especially in relation to partial differential equations).
After studying pure mathematics for my undergraduate and mathematical analysis for my master’s degree, I noticed that plenty of challenging mathematical problems arise at interfaces with other disciplines (such as biology or medicine).
My PhD research was part of the FutureRoots project at the University of Nottingham with an aim of improving crop performance by redesigning root system architecture. I modelled plant nutrient and water uptake at various spatial scales using (mostly) continuum approaches, with a particular emphasis on uptake by root hairs. Resulting (reaction-convection-diffusion) equations were solved using a combination of asymptotic (homogenisation, matched asymptotic expansions) and numerical (finite element, finite difference) methods.
Currently, I am working on models of blood flows in microvascular networks and of red-blood-cell splitting at microvascular bifurcations, as these processes have profound implications for oxygen delivery to living tissues.
Between 2013 and 2016, as a postgraduate student helper (at The School of Mathematical Sciences within The University of Nottingham, UK), I marked and demonstrated for various first- and the second-year undergraduate modules including:
- Mathematical Analysis
- Complex Functions
- Calculus and its applications
- Applied Mathematics