Research in Applied Mathematics
The applied mathematics group aims to provide world class research in applied mathematics and theoretical physics, while having strong links with experimentalists and industrial partners. The research interests of the group covers three main areas: General relativity, Mathematical optical physics and Mathematical modelling. All areas lead naturally to strong inter-disciplinary links: the general relativity group works closely with astrophysicists and cosmologists; the optics group has links with chemists, experimenters in device optics and quantum optics and with cold atoms physicists; the modelling group has its main focus in biology, collaborationg with biologists and medical doctors, but works also in fluid dynamics and design of experiments together with statisticians, engineers and industrialists.
General relativity - The GR group is one of the largest classical relativity groups anywhere in the world. Their research is focussed on Einstein's classical theory and its applications to astrophysics. They are particularly interested in the modelling of gravitational-wave sources, and work actively on many aspects of the dynamics of black holes and neutron stars using both approximate methods and fully nonlinear numerical simulations.
Mathematical Modelling - The modelling group has a broad range of interests. Recently the group has focussed on applications of mathematics to medicine and biotechnology, but it also have very strong interests in fluid dynamics, industrial modelling, design of experiments and financial modelling.
Mathematical Optical Physics - The group's research in optical physics covers a wide range of theoretical and mathematical topics, from pure wave problems such as scattering and diffraction, optical phenomena in liquid crystals, cold atomic gases and quantum optics, to applied problems in the drawing of optical fibres.
Superfluidity - The research on superfluidity in Applied Mathematics at Southampton covers truly large-scale cosmological superfluid systems, concentrating on neutron star dynamics, as well as micron-sized ultra-cold atomic superfluids. There are currently also two postdoctoral research fellows working on superfluids.
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