Mathematics
Our Mathematics research covers a wide range of pure, applied and education focused maths.
Current research interests are in combinatorial aspects of algebra, in functional analysis and its interactions with algebra and group representations, and in model theory.
In applied mathematics, members are interested in mathematical acoustics, including analytical techniques in aeroacoustics, underwater acoustics, and loudspeaker design.
We have members researching pedagogy and mathematics education, in particular fostering engagement and mathematical resilience, from primary school to HE and adult learners returning to education.
Chris Powles
Chris Powles works in the field of mathematical acoustics. To date, his work has involved the application of analytical techniques to problems related to aeroacoustics (specifically to the noise problems of modern aeroengines), and to problems in underwater acoustics and in loudspeaker design.
Dr. Tim Walton
Tim Walton's research applies modern geometrical and analytical techniques to explore different physical phenomena. These include an understanding of the largest objects in our Universe (astrophysical jets), effects at the nanoscale (quantum-induced electrodynamic stresses) and the modelling of laser-matter interactions with applications to quantum encryption.
Tim's work has been highlighted by the Institute of Physics, Europhysics News and even inspired a local poet! He currently spends most of his time exploring the mathematical foundations of general relativity and many of its interesting consequences.
Davide Penazzi
Davide Penazzi researches Mathematical Education, especially on the use of experiential learning and facilitation to increase motivation of studying mathematics in schools, developing mathematical resilience and helping with transition to HE. Davide's scholarship has led to collaborative projects with outdoor education practitioners and health practitioners on the effective methods to teach mathematics and numeracy.
Davide Penazzi
Davide Penazzi works in Applied Model Theory. He is interested in real closed fields, and in applications to topological dynamics.
Jonathan Wilson
Jonathan Wilson works with the interplay between combinatorics, geometry, and representation theory. Specifically, he aims at using cluster algebras (and related structures) to unearth deep connections between these subjects.
Further information can be found at the JHI website
Research academics
Dr Chris Powles has been a lecturer in Mathematics at the University of Central Lancashire since January 2011, and has been course leader for mathematics courses since August 2016. Between 2004-2011 he worked as a Research Fellow at the Institute of Sound and Vibration Research, …
Tim teaches across a range of disciplines, broadly developing mathematical skills for their application to real-world problems. This is informed by his scholarly activities where Tim, utilising his background in physics, applies advanced mathematical techniques to understand a ra…
Davide teaches across a range of subjects for our Mathematics course. His expertise is in mathematical logic and topology. Davide's scholarship has led to collaborative projects with outdoor education practitioners and health practitioners on the effective methods to teach mathem…
Jonathan currently teaches a variety of pure-based modules offered by the Mathematics BSc degree. His research, which is also rooted in pure mathematics, focuses on uncovering and exploiting connections between combinatorics, geometry, and representation theory. He is particularl…