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Department of Mathematical Sciences research

Our groups focus on particular research areas but with a strong culture of collaboration and mutual support.

Research Groups

Our research is based on teams focusing on particular research areas but with a strong culture of collaboration and mutual support.

Algebra, geometry, and number theory

Our research covers topics in group theory, representation theory, Lie algebras, algebraic and differential geometry, and analytic and algebraic number theory.


Our research spans the analysis of PDEs, calculus of variations, dynamical systems, operator theory, pseudo-differential operators and semiclassical analysis.

Numerical analysis and data science

The group has expertise in all areas of numerical analysis and recently expanded to include data science, including inverse problems and machine learning.


Our research spans branching processes, interacting particle systems, random geometry, statistical mechanics and stochastic analysis and their application.


We specialise in environmental and epidemiological statistics, sequential clinical trials, Bayesian statistics, smoothing and functional data analysis.

Impact from our Research Excellence

98% of our research outputs were ranked as ‘world-leading’ or ‘internationally excellent’ (with 57% ‘world-leading’) in the most recent Research Excellence Framework (REF2021). Learn more about how our research helps to shape a better future.

Keeping forests healthy

forest and castle

Find out how a new statistical model developed at the University of Bath is improving forest health monitoring.

Improving clinical trials

Two women wearing scrubs and hair nets look down the viewfinders on a pair of microscopes in a laboratory setting

By establishing better 'stopping rules' for the clinical trials, mathematicians at the University have made clinical trials faster and more efficient.

Our Research Centres

Our research centres build a lively research community across intra- and interdisciplinary fields.

Probability Laboratory at Bath

Abstract representation of networks.

The research of Prob-L@B spans the whole of modern probability, including models motivated by questions from other areas of mathematics and science.

Institute for Mathematical Innovation

IMI logo

The Institute for Mathematical Innovation delivers multi-disciplinary and mathematically grounded research for real-world, societal and industrial challenges.

Our Contribution to other Research Centres

We are also involved in a number of cross-disciplinary research centres within the Faculty of Science.

Our Facilities

Explore our state-of-the-art facilities available for teaching, research and industry with expert support from University staff.

High Performance Computing

Rows of stacks of high performance computers

Our powerful research computing environments are available to academic staff and doctoral students from all departments.

Doctoral Training

We offer projects over a broad spectrum of subject areas. Projects are available as part of Centres for Doctoral Training as well as on an individual basis.

Doctoral College

Students discussing project

We support and enrich the experience of our doctoral researchers and play a key role in developing policy and strategy relevant to doctoral study.

Join us

Apply now for one of our academic positions.

Research Consortium

Find out more about research consortia in which we participate.

Major Grants

Find out more about some of our major research grants.

Department of Mathematical Sciences

Find out more about our department including our courses and staff.