PhD projects are available in Applied and Pure Mathematics, and Statistics. The broad areas of research in Applied Mathematics include fluid dynamics, solid mechanics, biomechanics and biomedical engineering, and are motivated by industrial and medical applications.
Research in Pure Mathematics includes number theory, non-commutative ring theory and mathematical logic. Research in Statistics is primarily in Medical Statistics. For further information see the Centre for Mathematics Research website.
Fluid Dynamics and Acoustics. We carry out research in aeroengine and submarine noise, waves and instabilities in boundary layers on aircraft wings, thin film flows and associated fingering instabilities, giant waves and tsunamis and applications of fluid dynamics to geophysics, especially the atmosphere and oceans. For further information, see the Fluid Dynamics and Acoustics page.
Solid Dynamics and Elasticity. We carry out research in elastic waves and vibrations in waveguides, the mathematical theory of nonlinear elasticity, structural vibrations induced by fluid flow, the mathematics of thin elastic layers, ground vibrations produced by high-speed trains and waves in multi-layered elastic media. For further information, see the Theoretical Solid Mechanics page.
Biomechanics and Biomedical Engineering. We carry out research in regenerative medicine and tissue engineering applications, aneurysm rupture in arteries, physiological flow in the lungs and fluid flow dynamics in mechanical thrombectomy devices. For further information, see the Biomechanics and Biomedical Engineering page.
Pure Mathematics. We carry out research in number theory, non-commutative ring theory and in mathematical logic. Number theory research includes algebraic number theory and graph theory.
Financial Mathematics. This research area is focussed on econometrics and volatility forecasting.
Below is a selection of our current research interests.
Fluid Dynamics and Acoustics
- Exact coherent structures, finite-time blow-up, stratified turbulence & instabilities (Dr D Lucas)
- Fluid dynamics, wave theory, acoustics and vibration, and asymptotic methods (Prof. John Chapman)
- Nonlinear waves, in particular Geophysical fluid dynamics (Prof. Victor Shrira)
- Hydrodynamic stability (Prof. Jonathan Healey)
- Thin film flows and associated fingering-type instabilities (Dr. Shailesh Naire)
See the Fluid Dynamics and Acoustics page.
Solid Dynamics and Elasticity
- Waves and fractures in metamaterials, Gyro-elastic metamaterials, asymptotics methods. (Dr M Nieves)
- Multiscale modelling, continuum mechanics, acoustics and asymptotic methods (Prof. Julius Kaplunov)
- Solid mechanics and nonlinear elasticity (Prof. Yibin Fu)
- Wave propagation in elastic solids (Dr. Danila Prikazchikov)
See the Theoretical Solid Mechanics page.
- Regime switching models, volatility forecasting using high frequency data, stochastic diffusion models. (Dr J. Cheng)
See the Statistics page.
- Algebraic Number Theory, Hopf-Galois Theory, Skew Braces (Dr P. Truman)
See the Pure Mathematics page.