A little bit about me...
I am a Reader and a member of the Waves and Solid Mechanics group in the Department of Mathematical Sciences at the University of Liverpool. I teach and carry out research in Applied Mathematics. I am also Head of Teaching for the Department of Mathematical Sciences. You can read more about the things I do below.
Research
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.
Teaching
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.
Usually, the fastest way to reach me with short questions is to drop me an email or chat with me on Microsoft Teams. For longer questions, please book a meeting.
Recent papers
Madine KH, Colquitt DJ. 2022 Negative refraction and mode trapping of flexural-torsional waves in elastic lattices. Philos Trans R Soc A, 380 : 20210379. (doi: 10.1098/rsta.2021.0379)
Madine KH, Colquitt DJ. 2021 Dynamic Green's functions in discrete flexural systems. Q J Mech Appl Math, hbab006. (doi: 10.1093/qjmam/hbab006)
Office hours
I am more than happy to see students at any time that I am available.
Please book an appointment if you would like to meet with me. Colleagues can also use this link!
Arranging meetings via email is inefficient, so please book a meeting online rather than emailing me.