Department of Mathematical Sciences
World-class teaching and learning.
Choose quality programmes and options that match your ambitions.
The University of Liverpool is an excellent choice if you want to pursue Mathematical Sciences. Whether you want to explore new frontiers in research or to study the subject with leading experts, you'll find a friendly, expert community in Liverpool, ready to help you excel.
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Undergraduates
Our exciting undergraduate programmes cover everything from core maths to theoretical physics, financial maths to biostatistics.
Postgraduate taught
We offer master’s courses in Mathematical Sciences and Financial Mathematics.
Postgraduate research
We offer a Mathematical Sciences MPhil/PhD as well as funded PhD opportunities.
Graduates with employability
Our students acquire a specialised knowledge of mathematics, strong personal initiative and the ability to form balanced judgements.
Our world-class research ranges from pure mathematical disciplines to advanced applications of the science.
We are strongly committed to promoting, supporting and providing maths education for school pupils, on Merseyside and beyond.
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Mathematical Sciences PhD
University of liverpool, different course options.
- Key information
Course Summary
Tuition fees, entry requirements, similar courses at different universities, key information data source : idp connect, qualification type.
PhD/DPhil - Doctor of Philosophy
Subject areas
Mathematics (General)
Course type
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.
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).
UK fees Course fees for UK students
For this course (per year)
International fees Course fees for EU and international students
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.
PhD Direct (Mathematics)
Full time | 3 years | OCT
MPhil/PhD (Mathematics)
Msc by research (mathematics).
Full time | 1 year | OCT
Full time | 3 years | DEC-24
Masters by Research Maths
Full time | 1 year | DEC-24
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