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.
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 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.
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. If you are interested in doing a PhD with me, you should drop me an email in the first instance. You can find a few sample projects here, but that list is not exhaustive.
It is currently outside term-time. I do not hold regular office hours outside term-time.
However, I am still happy to see students, by appointment. If you would like to see me, then please make an appointment.