A little bit about me ...
I am a Lecturer in Applied Mathematics and a member of the Waves and Solid Mechanics group in the Department of Mathematical Sciences at the University of Liverpool. I both teach and carry out research in Applied Mathematics. You can read more about the things I do below.
Away from Mathematics
Away from mathematics I enjoy reading (a lot), listening to music (a lot), and wandering around with a camera and taking (a lot of) pictures. I am also quite fond of these two wonderful ladies...
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 currently working in several broad areas including cloaking (making things invisible), localisation (concentrating waves and 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.
I currently teach modules on Vector Calculus with applications to Fluid Mechanics (MATH225) and Variational Calculus (MATH430). I also usually offer a couple of undergraduate and taught-postgraduate research projects each year. However, I will not normally supervise more than two projects each academic year, so it's best to get in touch early if you'd like to do a project with me.