You will undertake a mathematics research project over two years (MPhil) or three years (PhD), supported by our globally esteemed researchers. The project will be shaped by your participation in research activities such as seminars, workshops, laboratory activity and fieldwork, as well as your involvement in one of our established research groups. Mathematics at Swansea hosts one of the strongest research groups in probability theory in the UK, especially in stochastic processes. Senior members of the group are world leaders in their fields. Our research groups include:Algebra and Topology: Areas of interest – noncommutative geometry, categorical methods in algebra and topology, homotopy theory and homological algebra.Analysis and Nonlinear Partial Differential Equations: Areas of interest – reaction-diffusion and reaction-diffusion-convection, equations and systems, Navier–Stokes equations in fluid dynamics.Probability: Areas of interest – infinite dimensional stochastic analysis, Levy-type processes and pseudo-differential operators, mathematical models of population ecology.Computational Mathematics: Areas of interest - Computational Topology, Data Science, Lattice Gauge Theory, Mathematical Biology, Cancer Research.