- Degree awarded
- Doctor of Philosophy
- Duration
- 3–4 Years FT or equivalent PT study
- Entry requirements
-
The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree in a discipline directly relevant to the PhD (or international equivalent) OR any upper-second class (2:1) honours degree and a Master’s degree at merit in a discipline directly relevant to the PhD (or international equivalent).
Other combinations of qualifications and research or work experience may also be considered. Please contact the admissions team to check.
- How to apply
Before applying we recommend that you read the 'Advice to Applicants' section below. When you are ready to apply, follow these instructions.
In your application you’ll need to include:
- The name of this programme
- Your research project title (i.e. the advertised project name or proposed project name) or area of research
- Your proposed supervisor’s name
- If you already have funding or you wish to be considered for any of the available funding
- A supporting statement (see 'Advice to Applicants' for what to include)
- Details of your previous university level study
- Names and contact details of your two referees.
Programme options
| Full-time | Part-time | Full-time distance learning | Part-time distance learning | |
|---|---|---|---|---|
| PhD | Y | Y | N | N |
Programme overview
Pure mathematics research at The University of Manchester spans algebra, geometry, logic and number theory, addressing fundamental questions in mathematics.
As a postgraduate researcher in this Department of Mathematics research theme, you'll join a department offering an excellent and lively environment for world-leading research.
Apply for one of our advertised research projects, or bring your own research question to a supervisor to develop a proposal.
Open days
Visit our Faculty of Science and Engineering Postgraduate Research events page to find out about upcoming open days and webinars.
Fees
Fees for entry in 2027 have not yet been set. For reference, the fees for the academic year beginning September 2026 were as follows:
-
PhD (full-time)
UK students (per annum): Band A - £5,238; Band B - £7,700; Band C - £13,200, Band D - £21,200; Band E £36,100
International, including EU, students (per annum): Band A - £29,900; Band B - £32,400; Band C - £37,900, Band D - £45,900; Band E £60,800 -
PhD (part-time)
UK students (per annum): Band A - £2,619; Band B - £3,850; Band C - £6,600; Band D - £10,550; Band E - £18,050
International, including EU, students (per annum): Band A - £14,500; Band B - £16,200; Band C - £18,950; Band D - £22,950; Band E - £30,400
The tuition fee for each project will depend on the cost of running the project, including, required access to laboratory facilities, equipment and materials needed to carry out the research, and whether the project is lab-based or desk-based. We therefore estimate the fee based on different bands.
Fees quoted are fully inclusive and, therefore, you will not be required to pay any additional bench fees or administration costs.
All fees for entry will be subject to yearly review and incremental rises per annum may be applied depending on fee status and band. For general fees information please visit the postgraduate fees page .
Always contact the Admissions team if you are unsure which fees apply to your project.
Scholarships/sponsorships
There are a range of scholarships, studentships and awards at university, faculty and department level to support both UK and overseas postgraduate researchers.
For more information about our scholarships, visit our funding page to search for scholarships, studentships and awards you may be eligible for.
Contact details
- Department
- Department of Mathematics
- Contact name
- Postgraduate Research Admissions Team
- Telephone
- +44 (0) 161 529 3049
- fse.doctoralacademy.admissions@manchester.ac.uk
- Website
- https://www.maths.manchester.ac.uk/
- School/Faculty overview
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Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality. Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .
Programmes in related subject areas
Use the links below to view lists of programmes in related subject areas.
Regulated by the Office for Students
The University of Manchester is regulated by the Office for Students (OfS). The OfS aims to help students succeed in Higher Education by ensuring they receive excellent information and guidance, get high quality education that prepares them for the future and by protecting their interests. More information can be found at the OfS website.
You can find regulations and policies relating to student life at The University of Manchester, including our Degree Regulations and Complaints Procedure, on our regulations website.