Research

My broad research interests lie at the intersection of partial differential equations (PDEs) and their application to the natural world. PDEs are a useful tool to explore the complex behaviours and interactions known to influence animal space use, including different movement mechanisms, explicit spatial structure, species-species interactions, and other relevant factors of interest. I strive to combine rigorous analytical theory, numerical approaches, and empirical data to better understand these underlying mechanisms and their associated outcomes.

I have recently completed a two-year postdoctoral fellowship at the University of Oxford studying nonlocal aggregation diffusion equations, including their well-posedness and bifurcation structure. For some biological motivation behind these models, please see the following review paper written by Dr. Hao Wang and myself.

I also study the impact of habitat loss (degradation, destruction, fragmentation) in single and multi-species models of reaction-diffusion type. This direction also includes some efforts with experimental data.