PhD / MPhil Mathematical Sciences at University of Liverpool

Programme overview

The PhD in Mathematical Sciences at Liverpool provides a vibrant environment where postgraduate researchers engage in cutting-edge research across applied mathematics, pure mathematics, theoretical physics, and financial mathematics. With access to advanced resources and a collaborative community, you’ll contribute to pioneering work in areas like quantum theory, mathematical biology, and financial mathematics, while developing expertise that leads to impactful discoveries. The Mathematical Sciences PhD at Liverpool provides a comprehensive research experience, allowing you to work within one of the nine research groups across the department.

Faculty: Faculty of Science and Engineering | Duration: 2-4 years full-time; 4-6 years part-time | Study mode: full-time; part-time also available | Intake: Year round | Location: Liverpool, England, United Kingdom

Official programme page

Application information

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 this higher qualification may be required to follow some or all of the taught part of the Mathematical Sciences MSc.; English language: IELTS 6.5 overall, with no component below 5.5

Domestic applicants: GBP 5,238 a year (2026/27). full-time Source

International applicants: GBP 25,350 a year (2026/27). full-time; £25,350 or £32,200 per year depending on the research project (higher rate for laboratory-based projects), confirmed in the offer letter Source

Intake: Year round

Duration: 2-4 years full-time; 4-6 years part-time

Apply through the official page: https://theuniversityofliverpool.my.site.com/

Explore more study programmes

STEM