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.
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.
Analysis
Our research spans the analysis of PDEs, calculus of variations, dynamical systems, operator theory, pseudo-differential operators and semiclassical analysis.
Applied and interdisciplinary mathematics
Our research includes industrial mathematics, mathematical biology, networks and continuum mechanics of solids and fluids.
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.
Probability
Our research spans branching processes, interacting particle systems, random geometry, statistical mechanics and stochastic analysis and their application.
Statistics
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.
How to become a pandemics expert in lockdown
University of Bath experts unravel the complexities of coronavirus (and more) in free online courses and lecturers.
IMI plays leading role in new UK virtual forum for government and industry collaborations
Mathematicians use newly formed forum to support UK government in tackling the challenges of easing the COVID-19 restrictions.
Dividing time for multiplying maths lectures
Special delivery: Chris Budd OBE talks about his prestigious appointment as a Gresham College lecturer.
Keeping forests healthy
Find out how a new statistical model developed at the University of Bath is improving forest health monitoring.
A sunny outlook for speedier weather forecasts
Official weather forecasts are being produced faster and more efficiently, thanks to revolutionary technology designed by scientists at the University of Bath.
Improving clinical trials
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
The research of Prob-L@B spans the whole of modern probability, including models motivated by questions from other areas of mathematics and science.
Centre for Mathematics and Algorithms for Data
We are an interdisciplinary group of researchers working at the intersection of statistics, machine learning and numerical analysis.
Centre for Nonlinear Mechanics
Exploring real-life problems with nonlinearity at their heart, using tools from analysis, modelling and computation.
Institute for Mathematical Innovation
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.
Centre for Mathematical Biology
We translate living systems into mathematical models in order to make quantitative predictions and inform biological experiments.
Centre for Networks and Collective Behaviour
An interdisciplinary research centre for the modelling and analysis of complex interacting systems.
Milner Centre for Evolution
We are a unique, cross-faculty research centre bridging biology, health and education.
IAAPS: the Institute for Advanced Automotive Propulsion Systems
A world-leading centre of excellence for research, innovation, enterprise and education, supporting the future direction of the automotive industry
Our Facilities
Explore our state-of-the-art facilities available for teaching, research and industry with expert support from University staff.
Mathematics Resources Centre (MASH)
We help all students with maths and statistics problems.
High Performance Computing
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.
EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
Delivering excellent training and research at the interface of applied mathematics, numerical analysis, probability, and statistics.
Doctoral College
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.
Joining Mathematical Sciences as an independent research fellow
Advice for postdoctoral researchers about how to apply for fellowships and join the Department of Mathematical Sciences.
Research Consortium
Find out more about research consortia in which we participate.
Major Grants
Find out more about some of our major research grants.
Prof Chris Budd leads EPSRC Programme grant
Chris Budd will lead a team on a five year £3.5M EPSRC Programme Grant focusing on the Mathematics of Deep Learning.
University of Bath funding success with the European Research Council
Four academics at Bath have been awarded prestigious European Research Council (ERC) Fellowships, supporting our research power for the global common good.
£7.3 million research will help improve nuclear radiation safety
The University of Bath is leading a large consortium using mathematics to improve our understanding of how nuclear radiation moves through different materials.
Royal Society Research Professorship
Professor Manuel del Pino has been awarded a Royal Society Research Professorship, the Society’s premier research award.
Understanding wave propagation
At the interface between semiclassical analysis and numerical analysis of wave propagation problems
Analysis of large interacting systems, consisting of several small, randomly interacting components
Mathematical analysis of strongly correlated processes on discrete dynamic structures
Department of Mathematical Sciences
Find out more about our department including our courses and staff.