You can study for an MPhil or MRes over one year, or a PhD over the course of three years. There are postgraduate research opportunities in all our research groups: Applied Analysis, Continuum Mechanics & Industrial Mathematics, Numerical Analysis and Scientific Computing, Population Modelling & Epidemiology, Stochastic Analysis You can study an MRes in: Mathematical Sciences. Mathematics and statistics are at the heart of all scientific and engineering disciplines, and we have a strong international reputation in the use of modelling and analysis to solve many problems relevant to industry, business and wider society. We work with researchers in other universities, from other disciplines and from industry, business and government sectors, across the UK, Europe, China and the USA.<br><br>Research by the Stochastic Analysis group on stochastic differential equation (SDE) models for option values in energy markets, stochastic numerical solutions for nonlinear energy models, and time-series models for financial data contributes across many of the University’s strategic research themes, notably Energy and Health & Wellbeing. The group has an internationally acknowledged research capability in the mathematical modelling of stochastic systems. In particular, several very popular numerical methods for nonlinear SDEs, including the tamed Euler-Maruyama (EM), the stopped EM, and the tamed Milstein methods, and adaptive EM methods have recently been developed based on ground-breaking work by the group.