## Mathematics - Group Members

Mathematics at the University of Central Lancashire is currently pursued by the following individuals:

Dr Danielle Bewsher |
Solar Physics, Lectuer in Mathematics |

Dr Kevin Bowman |
Alternative Algebras |

Dr Daniel Brown |
Solar Physics, Lecturer in Mathematics |

Dr Charlotte Kestner |
Model Theory |

Dr Paul Marston |
Statistics |

Dr Davide Penazzi |
Model Theory |

Dr Christopher Powles |
Acoustics |

See the Staff Directory for contact details.

## Personal Research Interests

### Dr Christopher Poweles

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.

SILENCER (DTI)

- Propagation of fan tones from the bypass duct using the extended Munt method (Wiener-Hopf solution).

TURNEX (EC)

- 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.

HISAC (EC)

- Prediction of jet noise generated in mixer-ejector nozzles, for supersonic business jets.

ANDANTE (DTI)

- Propagation of sound through sheared steady mean flows, for applications to engine installation effects.

SYMPHONY (TSB)

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 Greenâ€™s function techniques in Computational Aeroacoustics.
- Remote monitoring of sperm-whale populations.
- The design of transmission-line loudspeaker cabinets.

### Dr Charlotte Kestner

Dr Charlotte Kestner's main research interests are in pure model theory. She is interested in the connections between category theory and model theory, in particular in extending results around measures in model theory to a categorical context. She is also interested in the model theory of pseudofinite structures, in particular classification questions around MACS and Robust classes.

### 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; and differential fields (equivalent to the complex numbers equipped with a derivation), especially questions concerning transcendence of solutions of differential equations. 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.

Header Image : Simulated Nanoparticle (Marco Pinna, Joe Smerdon), Solar disk with SDO (NASA UClan SDO archive), V838 Monocerotis (NASA/STScl), NGC7424 (Gemini Observatory), M74 (NASA Hubble Space Telescope) NASA,and ESA ; and solar plume courtesy of SOHO /EIT consortium

Author: B Thompson, Last Updated: 1 October 2013, 10:34