PhD Probability / Programme details

Year of entry: 2023

Programme description

Opportunities for PhD research are available in a wide range of topics in Probability and Statistics. For some of the available areas of possible PhD or M.Phil research see the current  Probability and Statistics research areas. For more details about the specific projects, please contact the relevant individual members of staff or get in touch with the Probability and Statistics Postgraduate Admissions Tutor .

Students may enter our graduate programme in Statistics by initially taking our taught M.Sc. course over 1 year. This, subject to satisfactory progress, can lead to admission to the PhD programme.

The Probability and Statistics group comprises 16 members of staff. The Probability subgroup has made numerous and significant contributions to the theory of random walks and Levy processes; Brownian motion and diffusion processes; Markov, branching and point processes; random fields; Dirichlet forms; stochastic analysis; stochastic differential equations; stochastic partial differential equations; stochastic calculus; optimal stopping; and optimal stochastic control. The Probability subgroup is internationally recognised for its research in these areas and their applications.

There is a long tradition of Probability and Statistics at Manchester - the chair in Mathematical Statistics is one of the oldest established chairs in the UK. Previous members of staff include such well known names as Bartlett, Cane, Gani, Laycock, Papangelou, Parthasarathy, Priestley, Subba Rao and Whittle.

PhD and MPhil supervision is provided in all areas of research of the group. This includes three main areas of specialisation (listed alphabetically): (i) Financial Mathematics; (ii) Probability; (iii) Statistics. A partial list of current research topics can be found here .


The Department of Mathematics is the largest in the UK with an outstanding research reputation and facilities .

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: