Mathematics research

The Research Centre for Mathematics carries out world-class research in applied mathematics, pure mathematics, and statistics. Within applied mathematics, our research has three major themes: fluid dynamics and acoustics; solid mechanics and nonlinear elasticity; and biomechanics. Much of this research has great relevance to contemporary human affairs, for example the environment and health.

A unifying aspect of our research is the theory of waves and stability in continuous media. This theory is of fundamental importance both in the development of new mathematical methods, and in explaining the world around us. Our research work has unlimited applications in engineering, biology, and medicine.

Our research themes

We carry out research in aeroengine and submarine noise; waves and instabilities in boundary layers on aircraft wings; fingering instabilities in thin film flows; "freak" or "rogue" waves and tsunamis; and applications of fluid dynamics to geophysics, especially the atmosphere and oceans, and in volcanic lava flows.

Theme lead: Professor C. J. Chapman
Theme members: Professor J. J. Healey, Dr S. Naire, and Professor V. I. Shrira, together with the post-doctoral research fellow Dr S. Annenkov

We carry out research in elastic waves and vibrations in waveguides; stability and pattern formation problems associated with smart materials and structures; structural vibrations induced by fluid flow; the mathematics of thin shells, plates, and rods; ground vibrations produced by high-speed trains; mechanics of multi-layered media; localized dynamic phenomena.

Theme lead: Professor Y. Fu
Theme members: Professor C. J. Chapman, Professor J. D. Kaplunov, Dr D. Prikazchikov, and Professor G. A. Rogerson, together with the postdoctoral researcher Dr V. Danishevsky

The main focus is on dynamic homogenization for periodic and functionally graded structures, vibration of carbon nano tubes, nano indentation, and boundary layers within non-local continuum models.

Theme lead: Professor J. Kaplunov
Theme members: Dr D. Prikazchikov, and Professor G. A. Rogerson, together with the postdoctoral researcher Dr V. Danishevsky

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.

Theme lead: Dr S. Naire
Theme members: Professor Y. Fu

We carry out research in Algebra, Number Theory, and Logic.  We study algebraic structures and their applications to problems arising in algebraic geometry, number theory, and combinatorics. Our work in Logic focuses on intuitionism, including implications for mathematical physics.

Theme lead: Dr P. J. Truman
Theme members: Dr D. Bedford, Dr P. Fletcher, Dr E. Russell

We carry out research in Medical Statistics, especially clinical trials and epidemiology.

Theme lead: Dr J. Belcher
Theme members: Dr J. Preater