PhD Probability / Programme details

Year of entry: 2024

Programme description

The Department of Mathematics has an outstanding research reputation and a thriving community of PhD students.

Opportunities for PhD research are available in a range of Probability and Statistics topics and Mathemathics research areas . For more information, please see advice on choosing a project or find out more about specific projects . Please contact the relevant individual members of staff for information about a specific project, or get in touch with the Postgraduate Admissions Tutor .

Additional programme information

Equality, diversity and inclusion is fundamental to the success of The University of Manchester, and is at the heart of all of our activities.

We know that diversity strengthens our research community, leading to enhanced research creativity, productivity and quality, and societal and economic impact.

We actively encourage applicants from diverse career paths and backgrounds and from all sections of the community, regardless of age, disability, ethnicity, gender, gender expression, sexual orientation and transgender status.

We also support applications from those returning from a career break or other roles.

We consider offering flexible study arrangements (including part-time: 50%, 60% or 80%, depending on the project/funder), carer support funds for conferences, and peer support networks for parents and carers.

All appointments are made on merit.  The University of Manchester and our external partners are fully committed to equality, diversity and inclusion.

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 .

Scholarships and bursaries

In the Department of Mathematics we offer a range of scholarships, studentships and awards to support UK and overseas postgraduate researchers.

Funding is also available at university and faculty level and can be viewed on our funding page . Alternatively, you can use our funding database to find scholarships, studentships and awards you may be eligible for.

We'd recommend you discuss potential sources of funding with your supervisor before applying. They can advise what funding may be available to you, and ensure you meet nomination and application deadlines.


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: .