WELCOME!
The University of Manchester's Department of Mathematics has been at the forefront of the subject for over a century. A renowned international research hub, the Department has a legacy of groundbreaking achievements and a strong focus on interdisciplinary studies.
The Department of Mathematics drives global impact through research in areas including logic, stochastic analysis, and applications across banking, finance, manufacturing, energy, and more. The Alan Turing Building is the home of Mathematics in Manchester and is, of course, named after the mathematical and computational pioneer, Alan Turing, one of many great mathematicians who have made history at The University.
The department’s strong links with industry ensure the development of practical and theoretical skills highly valued by employers. Its close ties with sectors ranging from security to finance position students to make significant contributions to their fields, furthering their careers or pursuing advanced study at the PhD level.
Students benefit from an academic environment that fosters creativity and critical thinking, whilst having access to state-of-the-art facilities, including computing resources such as the Computational Shared Facility and N8 high-performance computing facility.
for Mathematics in the UK (QS World Rankings 2025)
for UK Mathematical Science research (Latest Research Excellence Framework results)
of research ranked internationally excellent or higher (Latest Research Excellence Framework Results)
OUR RESEARCH AREAS AND THEMES

Through industry collaboration and the application of our specialist expertise, our mathematics research drives change across society.
The department collaborates with key centres such as the Data Science Institute, Heilbronn Institute, and Henry Royce Institute.
Our research develops mathematical solutions to global challenges in a wide variety of sectors including health, engineering, finance, and materials science.
We use our expertise and pioneering spirit to discover, develop and create innovative solutions to the world's biggest problems and transform lives.
Our Department's research areas are grouped into seven intersecting themes that span the mathematical sciences:
- 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 quantification and data science
Royal Charter Number: RC000797