Supervision and mentorship

Current activities

  • 2022 PDRA: Minki Kim (Harris Lab at Brown University) - jointly with Prof. Daniel Harris. Minki's project is aimed at developing the computational infrastructure and testing of open-source software for the computational modelling of rocking bioreactors used in the cultivated meat industry.

  • 2022-2025 PG: Sebastian Dooley (HetSys CDT, University of Warwick) - jointly with Prof. James Sprittles and Dr. Albert Bartok-Partay. Sebastian's work will concentrate on hybrid modelling methodologies at the interface between physics-based and data-driven approaches for liquid films, involving both fundamental physical modelling and equation discovery techniques.

  • 2021-2024 PG: Oscar Holroyd (HetSys CDT, University of Warwick) - jointly with Dr. Susana Gomes. Oscar's doctoral project focuses on control strategies for multi-fluid systems that take advantage of a hierarchical modelling approach in which reduced-order models combine with direct numerical simulation techniques, combining the efficiency of the former with the accuracy of the latter towards an elegant heterogeneous modelling platform for thin film flows.

  • 2018-2022 PG: Michael Negus (Mathematical Institute, University of Oxford) - jointly with Dr. Matthew Moore and Prof. James Oliver. Michael's key interests lie in the analytical and numerical study of interfacial flows, in particular high-speed impact onto deformable substrates.

  • 2018-2022 PG: Benjamin Fudge (Fluid Dynamics Laboratory, University of Oxford) - jointly with Prof. Alfonso Castrejon-Pita. Ben's work concentrates on the dynamics of splashing in a variety on contexts using both high-speed laboratory experiments and high-definition numerical simulations.

I am very keen to consolidate my research group and can offer a series of projects at UG, MSc and PhD levels as part of University of Warwick structures such as:

  • the Undergraduate Research Support Scheme (URSS) - 8-12 week summer projects

  • 3rd year essay and 4th year projects as part of the Warwick Mathematics Institute undergraduate degrees

  • the Warwick Mathematics Institute Maths CDT route (15+ funded places available), a particularly attractive direction for fundamental projects

  • MSc and PhD projects under the Mathematical Modelling of Real World Systems CDT (MathSys) - (Virtual) Open Day coming up soon!

  • ⚠PhD projects under the Modelling of Heterogeneous Systems CDT (HetSys). Projects starting in the 2023/2024 academic year can be found just below

Topics lie at the interface between several applied mathematical topics, from modelling and asymptotic analysis to scientific computing and control theory, with applications in areas ranging from multi-physics fluid mechanics (e.g. thin film electrohydrodynamics, drop impact and splashing) to advances in the methodology for improving sustainable food growth and environmental risk mitigation. Have a look at the relevant application timelines and get in touch to ask for more details!

Alternative protein sources: growing the next generation computational modelling framework

(jointly with Dr. Ferran Brosa Planella and in collaboration with the Harris Lab at Brown University - read more here!)

Building better batteries: modelling and optimisation of electrode filling

(jointly with Dr. Ferran Brosa Planella - read more here!)

Former students and projects

  • 2022 UG: Chanon Olley and Lucas Ong Chen Ping recently finished 8-week summer projects as part of Warwick's Undergraduate Research Support Scheme, focusing on network modelling and population dynamics models (via the Google Earth API), as well as modelling of interfacial flows and heat transfer in evaporating drops (with a nice summary here).

  • 2021-2022 UG: Sebastian Dooley (Warwick Mathematics Institute). Sebastian's work was geared towards the application of partial differential equation discovery techniques for mathematical model design, using physical insight in combination with data-driven approaches in order to identify complex dynamics in cases where fundamental modelling principles reach a bottleneck.

  • 2021-2022 UG: Samuel Baldwin (Warwick Mathematics Institute) - jointly with Dr. Susana Gomes. Sam's work was grounded in the modelling of the stochastic behaviour of asset prices via a range of agent-based modelling and differential equation based techniques towards the identification of well-performing trading strategies in modern financial markets.

  • 2020-2021 UG: Oscar Holroyd (Warwick Mathematics Institute) - jointly with Dr. Susana Gomes. Oscar's 4th year project focuses on heterogeneous modelling of secondary droplet dynamics resulting from violent splashing problems, with a mixture of computational, PDE and agent-based techniques.

  • 2021 UG: Benny Smith (Brown University) - jointly with Prof. Daniel Harris. Benny's project focuses on the implementation, validation and dissemination of open-source software for the computational modelling of rocking bioreactors used in the cultivated meat industry.

  • 2021 UG: Alexia Huang and Hubert Naguszewski worked on 8-week summer projects as part of Warwick's Undergraduate Research Support Scheme, creating a framework for improving our understanding of air pollution via aerosolised oil particles after an oil spill using a combination of fluid mechanical and statistical approaches, and investigating highly nonlinear drop deformation in external flows using computational modelling, respectively.

  • 2020 PG: Kamran Pentland (MathSys CDT, University of Warwick) - jointly with Dr. Ed Brambley. Kamran's M.Sc. project focused on nonlinear aspects of drop deformation under the action of accelerating gas flows, particularly in the context of high-speed impact onto aircraft parts.

  • 2020 UG: Andreea Popescu, Anish Gupta and Oscar Holroyd have completed 10-week summer projects under the competitive Undergraduate Research Support Scheme in Warwick, with topics ranging from modelling in interfacial flows to scientific computing for PDEs, computational acoustics to machine-learning-based methods for control design.

  • 2018 PG: Harry Reynolds (InFoMM CDT, University of Oxford) - jointly with Dr. Matthew Moore and Prof. James Oliver. Harry's mini-project (with Elkem Norway as industrial partner) concentrated on the modelling of the dynamics and impact of small-scale silicone particles onto molten metal baths, including generating predictive capabilities for entry criteria.

  • 2018 PG: Thomas Babb (InFoMM CDT, University of Oxford) - jointly with Prof. James Oliver. Tom's mini-project (with Thales Aerospace as industrial partner) consisted in characterising droplet trajectories and impingement dynamics onto Pitot tubes in unmanned aerial vehicles, with a view to improve our understanding of water collection efficiency and aid design principles in these geometries.

  • 2015 - 2017 UG: I have guided three M.Sc. projects and one Undergraduate Summer Research Project within the Department of Mathematics of Imperial College London, with three of the students subsequently starting doctoral research activities in the department.