Institute for Mathematical Innovation

Groundbreaking research with real-world impact


Industry and public sector collaboration

Working for industrial and public sector clients, our team of Commercial Research Associates conduct cutting-edge research for a wide range of partners. Our programme of successful commercial partnerships includes organisations within the agri-food, aerospace, energy, health, insurance, and retail sectors.

IMI also hosts the international Mathematics for Industry Network, (MI-NET) funded by COST (European Cooperation in Science and Technology). Comprising more than 50 partners from 31 countries, MI-NET supports a pan-European programme of activities to stimulate greater interaction between mathematicians and industrialists.


Current research 

We draw together academic expertise from across the University of Bath to address a range of real-world problems using state of the art mathematics and statistics.


Our research spans a wide range of fields:


See examples of past research topics


Supporting your research at the University of Bath

IMI supports academic staff at the University of Bath in a wide range of ways:

  • Interdisciplinary research and grant development support

We also welcome new research collaboration inquiries from academic staff and industry.

>> Please contact us if you’d like to work with us.



Case studies

Read how mathematical sciences research at the University of Bath has benefitted society.


Typhoon damage in ChinaTyphoons and insurance risk in China

Tokio Millennium Re (TMR) is an international reinsurance company which covers the large pay-outs insurance providers have to make in the wake of catastrophic weather events.

Accurately projecting losses from events such as typhoons is critical to the company, but it is also a highly complex and difficult task, full of uncertainties. Read how the IMI is working with TMR using statistics to forecast the cost of reinsurance in areas affected by extreme weather events.


Weather forecastingImproving Met Office weather forecasting

The Met Office plays a vital role in the UK economy by providing accurate weather forecasts, but a major limitation of forecast accuracy is the ability to blend computational modelling with observational data. In collaboration with the Met Office, University of Bath mathematicians have developed adaptive numerical methods that allow computational models to make better use of data. As a result of implementing these methods into operational models, the Met Office forecasting accuracy of temperatures near the ground has demonstrably improved, helping local councils, airports and the travelling public.


Clinical trialsImproving clinical trials

Clinical trials are a crucial step in translating fundamental medical research into improved healthcare. But they are expensive to conduct, and making changes to a trial while preserving statistical validity is difficult. Research carried out at Bath has developed methods to help make decisions on when to stop a study, and to allow a broader range of adaptations to be made during the course of a trial. The results of this research have made clinical trials faster and more efficient while maintaining safety.


Air pollutionStrengthening US air pollution standards

Air pollution poses significant threats to both the environment and to human health. The World Health Organisation reports that in 2012 around 7 million premature deaths were due to air pollution exposure, making it the world’s largest single environmental health risk. Our researchers developed a large-scale computer simulation model that provides a flexible platform for developing a wide variety of models for predicted exposures. This has impacted on public policy and has resulted in the US Environmental Protection Agency making changes to legislation and regulations governing acceptable air quality.


Healthy forestsKeeping forests healthy

Forests are economically, recreationally and environmentally important, but it is difficult to monitor their health. Statisticians at Bath have worked with the Forest Research Institute Freiburg (Baden-Württemberg, Germany) to develop a new statistical model to estimate trends in forest health from monitoring data. As a result, forests are being better managed, mitigating the effects of pollution and climate change.



Nuclear reactorsMaking nuclear reactors safer

AMEC Foster Wheeler is a global leader in the field of nuclear safety advice. The company has a range of software used to assess the safety and operation of nuclear facilities. The company has built up a powerful suite of software for modelling and simulation of such facilities. Our research team identified conditions under which AMEC Foster Wheeler’s Monte Carlo perturbation module was not guaranteed to converge and suggested an improvement that prompted the company to recode parts of this module to extend the range of scenarios to which it can be applied.


Cleft lipImproving treatment for cleft lip

Cleft lip is one of the most common birth defects, affecting 1 in 700 children. Surgery to correct the condition has to be balanced between improving a child’s looks, while avoiding nerve damage that inhibits the development of normal expression and eating functions. Our researchers have worked with physicians in the USA to develop ways to understand data taken from motion capture of patients with cleft lip. The result is a new tool that surgeons can use to decide whether surgery is advisable, gives guidance on what form the surgery should take, and provides a way to evaluate the outcome of surgery objectively.


Oil extractionImproving oil extraction processes

Modern oil extraction is highly simulation-driven. Decisions on where to search for oil and where to place wells depend on accurate and efficient simulations of the physical processes of oil flow underground. The partner for this project, the Institut Français du Petrole Energies Nouvells (IFPEN), was faced with a changing environment in which its competitors were investing in large efficiency improvements in their simulators. By improving the simulation algorithms used by IFPEN’s software packages, our researchers created a ten-fold increase in simulation speed, creating more efficient and robust algorithms.