Research course

Mathematical Sciences

University of Liverpool · Department of Mathematical Sciences

Entry requirements

Applications are welcome from students who have (or expect to obtain) a good Honours degree (first class or 2:1) or an equivalent qualification. Since a wide background in mathematics is required for success in research, students with a higher qualification (eg MSc, MMath, Cambridge Part III) will find they are better prepared for starting research. Those without the higher qualification may be required to follow some or all of the taught part of the MSc.

Months of entry

January, December, November, October, September, August, July, June, May, April, March, February

Course content

The annual intake of postgraduate students varies, but typically around ten postgraduate students per year begin a research PhD. Part-time study where an external supervisor is available is also possible.

Research is structured around the following 9 clusters and 3 research centres: full details are from the departmental web page

  • Algebraic Geometry,
  • Applied Probability, statistics and Operational Research
  • Dynamical Systems,
  • Financial and Actuarial Mathematics,
  • Mathematical Biology,
  • Quantum Field Theory and Applications,
  • Singularity Theory and its Applications,
  • String Theory,
  • Waves and Continuum Mechanics,
  • Research Centre in Mathematics and Modelling (RCMM)
  • Centre for Mathematical Imaging Techniques (CMIT)
  • Environmental Radioactivity Research Centre (ERRC)

The Department of Mathematical Sciences offers a wide range of opportunities for postgraduate research in four key areas: Applied Mathematics, Pure Mathematics, Theoretical Physics, and Financial and Actuarial Mathematics and Applied Probability. Our research strength has earned us the top numerical research rating in all four Research Assessment Exercises.

Fees and funding

UK students
Full-time: £4,195 Part-time: £2,098 (2017)
International students
Full-time: £16,150, Part-time: £8,075 (2018) (excluding bench fees)

Qualification and course duration


full time
36-48 months
part time
72-84 months


part time
36-48 months
full time
12-24 months

Course contact details

PG Recruitment
+44 (0)151 794 5927