
PARTNER UNIVERSITIES
The University of Manchester
Since 1824, great minds have come to The University of Manchester to challenge assumptions, create the exceptional and change the world.
With 25 Nobel Prize winners among our current and former staff and students, we have a history of world firsts and brilliant discoveries, from splitting the atom to giving the world graphene.
We’re committed to world-class research, an outstanding learning and student experience, and social responsibility in everything we do.
The Department of Mathematics
Manchester has been at the forefront of mathematics for more than a century and The University has helped some of the biggest names in the subject during this time, including Alan Turing, Max Newman, Louis Mordell, Violet Cane and Hanna Neumann.
Today you’ll enjoy a real sense of community in our purpose-built Alan Turing Building, designed with input from staff and students alike, and benefit from excellent links with employers forged through our annual maths-specific careers fair and employer interview programme.
The Department of Mathematics is the perfect platform for launching a successful career built on a strong maths foundation.
The Masters courses offered through Martingale for 2026
Mathematical Sciences
MSc in Applied Mathematics
This MSc course is perfect for students who wish to deepen their specialist knowledge in applied mathematics; a research area in which Manchester has a long-standing international reputation. Students can choose from various course units including Continuum Mechanics, Numerical Linear Algebra, Uncertainty Quantification, Scientific Computing, Transport Phenomena, and Stability Theory. Students also receive training in research skills, and group project work.
After the taught component of the course has concluded, students will complete a dissertation in a specialist area reflecting the research interests of the applied mathematics group. The group has a strongly interdisciplinary research ethos, which it pursues in areas such as Mathematics in the Life Sciences, Uncertainty Quantification & Data Science, and within the Manchester Centre for Nonlinear Dynamics.
This course is supported by XTX Markets.
MSc in Pure Mathematics
This MSc course is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics.
During the taught component of the course, you will normally take six units together with a research skills and project unit. You may choose exclusively pure topics, or a mixture of pure mathematics units and mathematical logic units. In the research skills and project unit you will first complete a mini-project to improve mathematical writing skills, and then undertake a project.
After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor.
This course is supported by XTX Markets.
MSc in Pure Mathematics and Mathematical Logic
This one-year taught postgraduate course is a pathway from the MSc in Pure Mathematics and leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material. Students will study course units related to pure mathematics and mathematical logic, including Computation and Complexity, Set Theory, and, Model Theory, to encourage a sophisticated and critical approach to mathematics, and to prepare students who have the ability and desire to follow careers as professional mathematicians and logicians.
In the research project you will prepare a dissertation on an advanced topic in mathematical logic, normally of current or recent research interest, chosen in consultation with your academic supervisor.
This course provides our students with strong qualitative skills in a wide variety of areas of pure mathematics. With flexible optional units, students can tailor the course to their own individual interests, helping broaden the scope of your career prospects in areas such as finance, software engineering, teaching and research.
This course is supported by XTX Markets.
The PhD courses offered through Martingale for 2026
Mathematical Sciences
PhD in Applied Mathematics
Find out more about the course here
This course is supported by XTX Markets.
PhD in Mathematical Logic
Find out more about the course here
This course is supported by XTX Markets.
PhD in Numerical Analysis
Find out more about the course here.
This course is supported by XTX Markets.
PhD in Pure Mathematics
Find out more about the course here.
This course is supported by XTX Markets.
Engineering
Fusion Engineering Centre for Doctoral Training
The Fusion Engineering Centre for Doctoral Training (CDT) is a 4-year EngD programme that will develop the UK ‘fusioneer’ community.
Working together with the Fusion Opportunities in Skills, Training Education & Research (FOSTER) programme at the UK Atomic Energy Authority (UKAEA) and the UK industry supply chain, this course offers bespoke training for UK STEM graduates, to learn how to design, build and operate the first UK fusion energy power plant.
Find out more here.
This course is supported by the UK Atomic Energy Authority.
EPSRC Centre for Doctoral Training in Fusion Power
The EPSRC CDT in Fusion Power empowers students to become exceptional fusion scientists and engineers through world-class training and a thriving collaborative community. We support PhD students from diverse backgrounds in developing their expertise and research skills. Our goal is to enhance students’ knowledge and skills within the fusion power sector, enabling them to evaluate complex problems, propose innovative solutions, and navigate the demanding nature of the evolving landscape of fusion power.
Find out more here.
This course is supported by the UK Atomic Energy Authority.
EPSRC Centre for Doctoral Training in Skills And Training Underpinning a Renaissance in Nuclear (SATURN)
Since the 2004 Energy Act, nuclear fission has been a vital part of the UK’s Energy and Net Zero Strategies. As nuclear energy remains key to a low-carbon energy future, the UK is recognised globally for its expertise in safe and efficient decommissioning, and managing nuclear legacies.
SATURN CDT equips future leaders with expertise in decommissioning, advancing nuclear technologies, and shaping nuclear policy. Our programme is at the forefront of developing skilled professionals to lead in these critical areas, ensuring sustainable and secure energy for the future.
Find out more here.
This course is supported by the EPSRC Centre for Doctoral Training in Skills And Training Underpinning a Renaissance in Nuclear (SATURN) at The University of Manchester.