Dr Davide Penazzi
Dr Davide Penazzi is interested in Model Theory and Applications. Applied Model Theory is the study of mathematical structures with a viewpoint informed by Logic. In particular, he studies real closed fields (whose axiomatic structure is equivalent to that of the real numbers) with particular attention to Nash groups definable in them. He is also interested in topological dynamics: the actions of groups on a compact space, in particular the action of a definable group on the space of its types.
He is also interested in 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.
Dr Christopher Powles
Dr Powles’s research interests lie mainly 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.
- Propagation of fan tones from the bypass duct using the extended Munt method (Wiener-Hopf solution).
- Propagation of sound through sheared steady mean flows, for applications to jet blockage.
- Propagation of sound through unsteady (turbulent) sheared flows, for application to the prediction of spectral broadening of turbine tones.
- Prediction of jet noise generated in mixer-ejector nozzles, for supersonic business jets.
- Propagation of sound through sheared steady mean flows, for applications to engine installation effects.
Scattering of noise by rotating blade rows. Additional work carried out, not linked to any large-scale projects and with funding from a variety of sources including EPSRC, the Nuffield foundation, Rolls-Royce and uclan include
- The behaviour of energy paths in sound fields.
- Generation of noise by blade-vortex interaction.
- Scattering of sound in non-uniform ducts.
- Noise generation and propagation from open-rotor engines.
- The use of Green’s function techniques in Computational Aeroacoustics.
- Remote monitoring of sperm-whale populations.
- The design of transmission-line loudspeaker cabinets.
Dr Timothy J. Walton
Tim’s research applies modern geometrical and analytical techniques to explore many different physical phenomena. These include both an understanding of the largest objects in our Universe (astrophysical jets) as well as effects at the nanoscale (quantum-induced electrodynamic stresses). 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 consqeeuences. Further details on his work can be found at his website.
Dr Jonathan Wilson
Dr Wilson’s research focuses on 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. Recently, he has primarily been interested in:
- Cluster algebras from surfaces;
- Quiver representations;
- Teichmüller theory of non-orientable surfaces, and related cluster structures.
Please see http://jon-m-wilson.github.io for more details.