His research lies in the field of applied mathematics in particular wave mechanics, metamaterials, fluid mechanics and elasticity. He is the co-editor of one of first books on Acoustic Metamaterials, PI of an EPSRC Programme grant on the Mathematical fundamentals of Metamaterials, co-organiser of the UK Acoustics Network and recently co-editor of the volume on Elastic Metamaterials for the Handbook of Metamaterials.

In teaching and education matters, he chaired the A-level Content Advisory Board for the Russell Group, for Mathematics, reporting to the Department for Education; this advice shaped the content of the current A-level in Mathematics. He currently chairs the A-level Mathematics contact group for ACME reporting to the Royal Society, and chairs the advisory board of Mathematics in Education and Industry