PhD Applied Mathematics / Programme details

Year of entry: 2023

Programme description

The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. 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 some of the available areas of possible PhD research see the current Applied Mathematics research areas. For more details about specific projects, please contact the relevant individual members of staff or get in touch with the Applied Mathematics Postgraduate Admissions Tutor .

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.


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: