UCL Applied Mathematics is internationally recognised for research of the highest calibre. It covers a broad range of topics, concentrated approximately in five main groups. Typically research interests of staff span across these groups leading to much interaction between them.

The Environmental Flows Group: concerned with the dynamics of rotating and stratified fluids, for example, planetary scale flows over irregular topography, with applications in oceanography and meteorology; modelling of vortices, convection and rotating hydraulics.

The Industry Oriented Group: which addresses, for example, theory and computation for flows at medium to high Reynolds numbers, with many applications to aerodynamics, machinery dynamics and industrial processes.  Flow separation, acoustics, turbulence, granular motion, nonlinear systems applied to ship dynamics, interfaces and splashing are of particular interest. Strong links exist with industrial partners such as QinetiQ.

Clinical Operational Research Group (CORU): decision analysis and queueing theory are used to study medical decision-making and the operation of health services.