My research interests are in the mathematical theory of homogenisation and the broader area of the analysis of problems in continuous mechanics and materials science. The analytical tools I use range from asymptotics to the calculus of variations, depending on the nature of the problem. The idea that gives a handle to treat the problem mathematically is to determine what length-scales are important in the behaviour of the material. After this, the main challenge is to develop mathematical tools that suitably capture the postulated length-scale interactions.

More details of my research can be found on my personal webpage.