Our School of Mathematics, Statistics and Actuarial Science offers MSD Mathematics supervision in a wide range of mathematical areas, including both pure and applied subjects. Possible areas of research include: algebra combinatorics computational mathematics chaos theory dynamical systems differential equations numerical analysis You are also invited to contact our School to discuss other potential research areas. If you successfully complete a research degree in Mathematics, you will be well qualified for careers in scientific research, industry, finance, and academia. Our staff are strongly committed to research and teaching. They have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals such as Memoirs of the American Mathematical Society, Transactions of the American Mathematical Society, Advances in Mathematics, Mathematische Zeitschrift and Israel Journal of Mathematics. Our School of Mathematics, Statistics and Actuarial Science is genuinely innovative and student-focused. Our research groups are working on a broad range of collaborative areas tackling real-world issues. Our data scientists carefully consider how not to lie, and how not to get lied to with data. Interpreting data correctly is especially important because much of our data science research is applied directly or indirectly to social policies, including health, care and education. We do practical research with financial data (for example, assessing the risk of collapse of the UK's banking system) as well as theoretical research in financial instruments such as insurance policies or asset portfolios. We also research how physical processes develop in time and space. Applications of this range from modelling epilepsy to modelling electronic cables. Our optimisation experts work out how to do the same job with less resource, or how to do more with the same resource. Our pure maths group are currently working on two new funded projects entitled ''The Calabi problem for smooth Fano threefolds'' and ''Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacity''. We also do research into mathematical education and use exciting technologies such as electroencephalography or eye tracking to measure exactly what a learner is feeling. Our research aims to encourage the implementation of ‘the four Cs' of modern education, which are critical thinking, communication, collaboration, and creativity. We also offer an MPhil and a PhD in this subject, and both part-time and full-time research study are available.