PhD/MPhil Mathematics

OVERVIEW

PhD:

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 INTERESTS

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.

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.

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.

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.