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 biomechanics. 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

Research in aeroengine and submarine noise; waves and instabilities in boundary layers on aircraft wings; fingering instabilities in thin film flows; waves and tsunamis; fluid turbulence and applications of fluid dynamics to geophysics, especially the atmosphere and oceans, and in volcanic lava flows.

Theme lead: Professor V. I. Shrira
Theme members: Professor J. J. Healey, Dr S Naire, Dr D LucasProfessor C. J. ChapmanDr S Annenkov and Dr Tatsuya Yasuda

Research in elastic waves and vibrations; stability and pattern formation problems associated with smart materials and structures; structural vibrations induced by fluid flow; 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, Dr L Prikazchikov, Dr M Nieves.

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. D. Kaplunov
Theme members: Dr D Prikazchikov, Dr L Prikazchikov, Dr M Nieves.

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 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. In statistics, our work is focused on financial and economic time series. 

Theme lead: Dr P. J. Truman
Theme members:  Dr J. ChengDr P. Fletcher

Our research includes the prediction of electromagnetically induced vibrations in MRI scanners and work to reduce the threat to public safety through improved object characterisation, location and detection.

Theme lead: Professor P Ledger
Theme members: Dr D. Lucas, Dr T. Yasuda