My main area of research is in the mathematical analysis of multi-scale phenomena; specifically in the areas of acoustics, continuum mechanics and electrommagnetism. The aim of my work is to determine multi-scale models of value to the engineering and physics communities, rigorously justified mathematically.
My EPSRC project “Operator asymptotics, a new approach to length-scales in metamaterials” aims to revisit the fundamental tools in homogenisation theory and appropriately extend them to the context of high-contrast problems, a class of problems at the core of metametarial phenomena in composites.
Interests
- Derivation and rigorous justification of asymptotic models in composite media
- Error estimates in homogenisation theory
- Analysis of wave phenomena in composite media and thin structures
- Analysis of scale-interaction effects in composite media
Education
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PhD in Mathematics, Thesis: Two-scale homogenisation of partially degenerating PDEs with applications to photonic crystals and elasticity.
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University of Bath
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MSc in Modern Applications of Mathematics, Thesis: Non-classical homogenisation, related analytical tools and applications to dynamic problems with partially high contrasts
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University of Bath
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BSc in Natural Sciences, Majors in Mathematics & Physics
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Birmingham University