Research course

Pure Mathematics

The University of Manchester · School of Mathematics

Entry requirements

Applicants would usually be expected to have a 1st or upper 2nd class honours degree (or an equivalent overseas qualification) in a mathematical subject. In some research areas a background in physics, engineering or computer science is also acceptable.

Months of entry

January, September, July, April

Course content

The School 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 School benefit from direct access to all the Library electronic resources from their offices.

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

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

Department specialisms

The School of Mathematics is one of the largest and most research-active in the UK. It is ranked 6th highest in the country on the 2008 Research Assessment Exercise (RAE). Over 95% of research in the school is 'Recognised Internationally', with over 20% in the highest 'World Leading 'category.

Information for international students

Students whose first language is not English require a minimum score of IELTS 6.5 or TOEFL 570 (paper-based) with not less than 5.0 in the TOEFL essay section of the test or 90 (ibtTOEFL).

Fees and funding

Please see

Qualification and course duration


full time
36 months
part time
72 months

Course contact details

School of Mathematics
+44 (0)161 275 0178
+44 (0)161 306 3669