University of Liverpool
Daniel Colquitt
Professor of Applied Mathematics
A little bit about me...
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 teach and carry out research in Applied Mathematics. I am also serving as Head of 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
In the 2026–27 academic year, I am not delivering taught modules or first-year tutorials. I usually offer a couple of undergraduate and taught-postgraduate research projects each year. 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
Open access Boulton F, Colquitt DJ, Timme S, & Williams DP. 2026 Multi-fidelity data fusion for ocean sound speed. J. Acoust. Soc. Am., 160(5), pp. 3941–3956. (doi: 10.1121/10.0047244)
Open access Gaffney J, et al. 2026 A synthetic dataset is sufficient to measure the height of thermally fatigued surface-breaking cracks using convolutional neural networks. NDT Int., 164(5), 103848. (doi: 10.1016/j.ndteint.2026.103848)
Office hours
I do not hold regular office hours in the 2026–27 academic year. However, I am always happy to meet by appointment. If you would like to meet, please drop me an email, with my PA (Elizabeth Williams) in cc.