Mathematical Sciences PhD / MPhil

Program Overview

The PhD/MPhil in Mathematical Sciences at the University of Liverpool offers extensive research opportunities in Applied Mathematics, Pure Mathematics, Theoretical Physics, and Financial Mathematics. Backed by top research ratings and state-of-the-art facilities, the program equips students for careers in academia, industry, and business finance. Supported by three research centers, the program aligns with cutting-edge research themes, enabling students to make significant contributions to their field.

Program Outline

Degree Overview:

The Department of Mathematical Sciences at the University of Liverpool offers a PhD/MPhil in Mathematical Sciences. This program provides a wide range of opportunities for postgraduate research in an active research environment. The department boasts 9 research groups and 3 research centers, fostering a vibrant and dynamic research atmosphere.

Objectives:

The program aims to equip students with advanced knowledge and skills in various areas of mathematics and theoretical physics, enabling them to conduct independent research and contribute to the field.

Program Description:

The program offers research opportunities in four key areas:

• Applied Mathematics
• Pure Mathematics
• Theoretical Physics
• Financial and Actuarial Mathematics and Applied Probability
The department's research strength has earned it top numerical research ratings in all four Research Assessment Exercises.

Careers:

The program prepares graduates for a variety of career paths, including:

• Business and finance professionals
• Research positions in academia and industry

Other:

• The department has state-of-the-art computing facilities available for research.
• 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 program's research interests closely match its research themes, which 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
• The department houses three research centers:
• Research Centre in Mathematics and Modelling (RCMM)
• Centre for Mathematical Imaging Techniques (CMIT)
• Environmental Radioactivity Research Centre (ERRC)
• The program receives research grants from EPSRC, STFC, and other sources.

The fees below reflect one year of study during the 2024/25 academic year MPhil / PhD Duration UK students International Students Full time 2-4 years £4,786 Faculty of Health and Life Sciences £29,750 (Band A)^ Faculty of Science and Engineering £29,750 (Band A)^ or £23,400 (Band B) Faculty of Humanities and Social Sciences £23,400 (Band B) Part time 4-6 years £2,393 Faculty of Health and Life Sciences £14,900 (Band A)^ Faculty of Science and Engineering £14,900 (Band A)^ or £11,700 (Band B) Faculty of Humanities and Social Sciences £11,700 (Band B) The fees stated in the table above exclude potential research support fees also known as ‘bench fees’. You will be notified of any fee which may apply in your offer letter.

• Please note that if you are undertaking a PhD within the Faculty of Science and Engineering the fee you pay, Band A or Band B, will reflect the nature of your research project.
Some research projects incur a higher fee than others e.g. if you are required to undertake laboratory work. You will be informed of the fee for your programme in your offer letter. ^ Self-funded, full-time international students studying a PhD programme classified as Band A will receive a £2,000 reduction in their fees for the first year only.