Profile
My main research area is the analysis of nonlinear partial differential equations, particularly singular limits of nonlinear elliptic and parabolic PDE, asymptotic behaviour of reaction-diffusion systems, and front propagation and spreading speeds, motivated by applications such as switching properties of liquid crystals, phase transitions of materials, strongly competitive interactions and spatial segregation in population dynamics, and the characterization of the speed of spread of ecological invasions. An additional interest is the analysis of compensated convex transforms and their applications to geometric singularity detection, and, via a numerical implementation, the detection of features in images or data, removal of noise from images, identification of intersections between surfaces, etc.
Area of Expertise
- Nonlinear partial differential equations
- Singular limits of elliptic and parabolic systems
- Reaction-diffusion-convection systems and travelling waves
- Applications of PDE to biology
- Geometric methods for image processing
Projects
Specialist Areas
Events
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Zienkiewicz Institute Community Event for Grant Calls
Time: 15th October 2025 Location: Eng North 010 and 008 Speakers: Overview of the Conference: The next Zienkiewicz Institute community event will be held on Wednesday, 15th October 2025. It will focus on the following three grant calls: UKRI Artificial Intelligence for Environmental Science Phase One (Deadline 11 December 2025) UKRK Addressing Nuclear Fission Challenges for a…