Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chapman Fellow in Mathematics







736Huxley BuildingSouth Kensington Campus






Toby is a Chapman Research Fellow in the Department of Mathematics. Previously, he was a postdoctoral researcher working with Profs. S. Jon Chapman and Colin Please in the Oxford Mathematical Modelling Battery Group in the Mathematical Institute at the University of Oxford, and funded by The Faraday Institution. 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.

Research Interests

His research focuses on the application of perturbation and complex methods to problems across industrial mathematics and engineering, including: microelectronics cooling, lithium-ion batteries, superhydrophobic surfaces, and nonlinear model identification.



Mayer MD, Kirk TL, Papageorgiou DT, 2024, Stability of a photosurfactant-laden viscous liquid thread under illumination, Journal of Fluid Mechanics, Vol:983, ISSN:0022-1120

Tomlinson SD, Mayer MD, Kirk TL, et al., 2024, Thermal resistance of heated superhydrophobic channels with thermocapillary stress, Asme Journal of Heat and Mass Transfer, Vol:146, ISSN:0017-9310

Hodes M, Kane D, Bazant MZ, et al., 2023, Asymptotic Nusselt numbers for internal flow in the Cassie state, Journal of Fluid Mechanics, Vol:977, ISSN:0022-1120

Kirk TL, Lewis-Douglas A, Howey D, et al., 2023, Nonlinear Electrochemical Impedance Spectroscopy for Lithium-Ion Battery Model Parameterization, Journal of the Electrochemical Society, Vol:170, ISSN:0013-4651

Tomlin RJJ, Roy T, Kirk TLL, et al., 2022, Impedance Response of Ionic Liquids in Long Slit Pores, Journal of the Electrochemical Society, Vol:169, ISSN:0013-4651

More Publications