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Centre for Mathematical Sciences

Exploring mathematical and statistical applications across industry, finance and the environment.

Centre for Mathematical Sciences

Group leads

Dr John Fry (Director)

Dr Jie Yang (Deputy Director)

The Approach

Research into environmental modelling to collaborate with Aura/EEI. This includes applied work by Yang and Koens alongside more fundamental research on fluids.

Work in this theme includes industrial applications of complex fluids models. Biological and environmental applications are central to CMS. Recent examples include disease and air pollution modelling, microscopic mechanic modelling of biological systems alongside fundamental modelling work underpinning carbon-capture technology.

Joint work with colleagues in computer science in artificial intelligence and data science.

Work in this theme includes computer science work in data science and machine learning alongside miscellaneous applications including credit risk modelling, measuring the readability of financial websites and forecasting work using Twitter data.

Research on industrial and business mathematics.

This includes the establishment of a Mathematics and Statistics Consultancy unit to support internal cross-disciplinary working and to facilitate work alongside local businesses. This builds upon previous industrial applications including Rolls Royce, Equinor, Bombardier and Elkem (Moore) and from the electricity industry, Fin Tech and Department for Business, Innovation and Skills (Fry).

Work in this theme includes sophisticated asymptotic analysis and applied complex analysis alongside a miscellany of applied statistical techniques and stochastic differential equation modelling.



  • Use mathematics in conjunction with industry and business to provide impactful and meaningful solutions to fundamental problems in industry and society
  • Act as a conduit for inter-departmental collaboration to promote the use of applied mathematics and statistics in other disciplines
  • Pursue fundamental research in applied mathematics

The Impact

Examples include applied mathematical modelling with industrial partners (Rolls Royce, Equinor, Bombardier, Elkem; Moore) and statistical work within the electricity, finance and Fin Tech sectors (Fry). Fry has also modelled emergency evacuations culminating in collaborators presenting written testimony to the UK parliament. Yang has examined the respiratory-disease implications of air pollution and meteorological factors. Further research may help help to design new biological micromachines (Koens) and new chemical engineering processes (Yang).

Future possibilities include environmental modelling and carbon capture, industrial applications of fluid mechanics, mathematical and statistical applications to business and Fin Tech.



Accelerating a net zero future. Improving health outcomes. Promoting justice and fairness for all. Living with water. Enhancing heritage and creative industries.

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