👋A little bit about me...
I am a Senior Lecturer 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.
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.
📃 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.