PhD Applied Mathematics / Programme details

Year of entry: 2024

Programme description

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

Among other research facilities , students have access to one of the finest libraries in the country, the John Rylands University Library, which has made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Mathematics PhD students also benefit from easy access to high-performance computing facilities and licenses for specialist mathematics software. The Department of Mathematics at Manchester is one of very few in the country to have direct access to an experimental laboratory, through the Manchester Centre for Nonlinear Dynamics , with Applied Mathematics PhD students in this group able to undertake both theoretical and experimental research.

Many weekly research seminars are held in the Department, which allow staff and research students to stay in touch with the latest developments in their fields. These include an informal seminar series organised and given by Applied Mathematics PhD students in the department. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium.

Opportunities for PhD research are available in a wide range of topics in Applied Mathematics . For more information, please see the 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 Applied Mathematics Postgraduate Course Director .

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 Applied Mathematics Unit has a long-standing international reputation for its research. Our research activity is led by fourteen professors with expertise in a range of topics, including Combustion Theory and Bushfires; Computational Mechanics and Biomechanics; Granular Flow; Dynamical Systems; Financial Mathematics; High Speed Fluid Dynamics; Inverse Problems; Numerical Analysis and Scientific Computing and Waves.

RAE2008 (UoA 21) highlights
  • An active research group of 31 permanent staff working with 14 postdoctoral researchers, 42 PhD research students and 49 MSc students. The MAGIC doctoral student training network is being coordinated by Manchester.
  • Significant success in the award of EPSRC Fellowships including five Advanced Fellows and four Postdoctoral Fellows awarded in the census period.
  • More than 7.6M pounds awarded since RAE2001, including 1.75M for the CICADA initiative.
  • Three of our researchers have been designated Highly Cited Researchers at

Applied Mathematics at Manchester has a strong tradition for research excellence, with past leadership provided by Sir Horace Lamb FRS, Sydney Chapman FRS, Edward Milne FRS, Douglas Hartree FRS, Sydney Goldstein FRS, Sir James Lighthill FRS, Fritz Ursell FRS and Robin Bullough. BAMC'08 is the fiftieth anniversary of the first British Theoretical Mechanics Colloquium which was held in Manchester in 1959.

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: .