Personal Statement
I am a Professor of Applied Mathematics and a member of the Waves and Continuum Mechanics group in the Department of Mathematical Sciences at the University of Liverpool. I both teach and carry out research in Applied Mathematics. I like to say that I am a very applied mathematician, which essentially means that I look at physical problems from the point of view of mathematics. I use and develop new mathematical techniques for the study of wave propagation, localisation and fracture in complicated materials. Although I primarily work with mechanical waves, I also have an interest in electromagnetic and acoustic waves, as well as fluid mechanics.

I am also serving as Head of the Department of Mathematical Sciences. You can read more about the things I do on my personal website.

Research Overview
I am currently working in several broad areas including cloaking (making things invisible), localisation (concentrating waves and energy in a finite area), fracture (investigating how complex materials break and fail), homogenisation (approximating complicated materials and phenomena by simpler ones), controlling waves, and mode-conversion (changing one type of wave to another). You can read more about my work in my papers or see more about it in my talks.

Please see my personal website for information regarding my research interests.