Toby is currently a Postdoctoral Research Assistant in the Oxford Mathematical Modelling Battery Group in the Mathematical Institute at the University of Oxford, and part of the Multi-Scale Mathematical Modelling Fast Start Project of the Faraday Institution. His current research is using asymptotic methods to account for electrode heterogeneity in lithium-ion battery models.

He earned his PhD in fluid dynamics under Prof. D. T. Papageorgiou at Imperial College London, studying modern micro-structured (i.e. superhydrophobic) slip surfaces. Using asymptotic and complex methods, he investigated their possible implications for viscous flows, convection, and the nonlinear interfacial dynamics of thin films.

His research interests include:

• Asymptotic methods
• Lithium-ion batteries
• Applied complex analysis
• Fluid dynamics
• Nonlinear waves