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I am a lecturer in the School of Mathematics and Statistics at the University of Glasgow. I am a member of the Continuum Mechanics group.

Research

My research concerns aspects of materials science, including fracture, solidification and pattern formation. I have particular interests in applications of finite elasticity, free boundary problems and techniques for the analysis and simulation of nonlinear partial differential equations, particularly in the reduction of partial differential equations to systems of coupled ordinary differential equations via perturbation methods. Particular systems of interest include foams, metal alloys and porelastic materials. I am generally interested in continuum mechanics, especially thermodynamics, solid mechanics and fluid mechanics and problems that involve differential geometry. I have a general interest in numerical methods, especially for partial differential equations, but also for optimal location and transport problems and in computational geometry.

Teaching

I have taught at all undergraduate levels and supervised undergraduate and postgraduate projects. Here are some resources:

• Numerical methods notes
• 2C, Applied Mathematics notes

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