Why pursue research in Mathematics
Solve real problems with maths
As a postgraduate researcher in Mathematics at Manchester, you’ll help address some of society’s most complex challenges – from modelling biological systems and improving financial forecasting to designing advanced materials and contributing to better healthcare outcomes.
You’ll work across themes such as algebra, geometry, numerical analysis and data science, supported by advanced facilities and interdisciplinary centres, including the Manchester Institute for Mathematical Sciences and the Manchester Materials Modelling Centre.
Your research will contribute to real-world progress in sectors ranging from engineering and life sciences to energy.
Delve into groundbreaking research
Explore key areas of mathematical research
At Manchester, you’ll research in:
- Algebra, logic and number theory
- Analysis, geometry and dynamical systems
- Continuum mechanics
- Mathematics in the life sciences
- Numerical analysis and scientific computing
- Probability, financial mathematics and actuarial science
- Statistics, inverse problems, uncertainty qualification and data science.
Through close links with centres such as the Manchester Institute for Mathematical Sciences and the Data Science Institute, our Department offers access to advanced facilities and interdisciplinary research networks. These collaborations support impactful research across materials science, mathematics, data analytics and more, enabling discoveries that contribute to real-world challenges.
Ready to start your PhD journey?
Explore how to apply
Whether you’re taking the first step or already have a clear direction, we’re here to guide you through the application process. Browse available projects, contact potential supervisors, and discover how to take the next step towards your future at Manchester.
Shape your research journey
Browse available projects
Explore impactful research projects that can shape your future. Filter by discipline, funding status, or keyword to find the perfect match and take the next step in your research journey.
Find a supervisor
Your supervisor is vital to your research journey, providing guidance and support. Find the right supervisor to shape your PhD and help you reach your goals at Manchester.
Discover funding options
Explore scholarships, studentships, and fully funded PhD programmes with expert guidance to help you secure the right funding for your research journey.
Explore life as a researcher
Meet our researchers
Hear from current researchers about postgraduate research life – from lab work and city living to managing costs. Discover their stories and imagine your journey at Manchester.
Contact us
Got questions?
Our expert teams are here to support you at every stage of your research journey. Whether you're starting out or ready to apply, contact your department or Faculty team below.
