I am an applied analyst working on the mathematics of novel composite media in the department of Mathematics at University College London.
My main area of research is in the mathematical analysis of multi-scale phenomena; specifically in the areas wave propagation in acoustics, elasticity and electromagnetism.
The aim of my work is to determine multi-scale models of value to the engineering and physics communities, rigorously justified mathematically with error estimates.
Thesis: Two-scale homogenisation of partially degenerating PDEs with applications to photonic crystals and elasticity.
Thesis: Non-classical homogenisation, related analytical tools and applications to dynamic problems with partially high contrasts
Awarded an EPSRC Postdoctoral research fellowship grant on “Operator asymptotics, a new approach to length-scale interactions in metamaterials”.