Mathematical Sciences PhD / MPhil

Mathematical Sciences at Liverpool offers wide opportunities for postgraduate study in an active research environment. Research is organised in 9 research groups, in addition to 3 research centres.

Why study with us?

Once you have a degree no one can take it away from you. Furthermore there always seems to be a need for more people who have studied technical disciplines such as mathematics. I know this experience and the degree I am earning will help me to be successful.

Megan Selbach-Allen - Mathematical Sciences PhD student
  • 92%

    research impact judged as 'outstanding.' REF (2014)

  • 1/3

    graduates become business and finance professionals.

  • 23/24

    of the department’s teaching was evaluated in the most recent survey by Quality Assurance Agency.

Overview

There are 12 active research groups in many areas of Mathematics and Theoretical Physics, holding research grants from EPSRC, STFC and other sources. State of- the-art computing facilities are available. The Department’s teaching was evaluated in the most recent survey by the Quality Assurance Agency and awarded a total of 23 points out of 24 (excellent).

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.

Our research interests closely match our research themes.

Research themes

Our research themes include:

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

Study options and fees


MPhil / PhD Duration Home/EU Students International Students
Full time 2-4 years £4,407* (2020) £23,650* ^ (lab based programmes)
£18,000* (non Lab based programmes) (2020).
Part time 4-6 years £2,204* (2020) £11,825* (lab based programmes) £9,000* (non Lab based programmes) (2020)

*This fees excludes potential research support fees also known as ‘bench fees. You will be notified of any fee which may apply in your offer letter.

^Self funded full time international students studying a lab based programme will receive a £2,000 reduction in their fees for the first year only.

Entry requirements

Applications are welcomed from well qualified graduates who would typically hold a UK first degree or equivalent in the first or 2:1 class, or a 2:2 class degree plus a Masters degree, in a relevant subject.

We welcome applications from within the EU and around the world. You should ensure that your qualifications are equivalent to those required to study for this research degree. See our guidance on international qualifications.

You must also have reached a minimum standard of English and be able to provide evidence of this. See our English language requirements for international students.

How to apply

Research degree applications can be made online.  Before you apply, we recommend that you identify a supervisor and develop a research proposal.  You'll also need to ensure that you have funding to cover all fees.

Applications are open all year round.

More about applying for research degrees

Apply online

Find a supervisor

Your supervisor is your main source of academic support and mentoring. You'll need to find a supervisor before you start your research degree. It's helpful to identify a supervisor and discuss your research proposal before you apply.

View supervisors in this area

Need help finding a supervisor? Contact us

Related studentships: self-funded and funded PhD projects

Related Doctoral Training Partnerships

Doctoral Training Partnerships support future researchers with funding and a rewarding learning environment where you can collaborate with leading researchers.

Find a scholarship

We offer a range of scholarships to help you meet the costs of studying a research degree.

See scholarships