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Welcome to the Department of Mathematical Sciences

The Department of Mathematical Sciences submitted 75 members of staff, comprising 73.7 Full-Time Equivalent (FTE) staff, to the REF Mathematical Sciences UoA. The submission included nine Early Career Researchers.

Find out more about us
96% of our research outputs are world-leading or internationally excellent (REF 2021)
5th in The Times and Sunday Times Good University Guide 2020
7th in The Complete University Guide 2022
Award Athena Swan Bronze Award Holder

Re-defining X-ray technology

Our mathematicians have worked with industry to achieve superior quality X-ray images to support better diagnosis of patients.

Collaborating with technology firm IBEX, Durham’s experts used their statistical skills to further develop X-ray scanning technology so it can differentiate more clearly between different materials.
Read the full case study
x-ray technology

About Us

The Department has undergone a period of rapid growth since the previous Research Excellence Framework in 2014, growing from 54 FTE submitted for REF2014 to 73.7 for REF2021. This is an ongoing programme which sees the Department doubling in size in the ten years to 2027 – indeed, by the next academic year, it will already have passed 100FTE. This expansion has been used strategically both to consolidate existing areas of strength, and to build critical mass in others, so that the Department delivers world-leading research across the breadth of the mathematical sciences.

This growth has been accompanied by major investment by the University in a new building for the Department. The move to this building is now complete, and it is proving to be very successful. The design had the conscious aim of facilitating research discussion within and between the different groups listed under Research Areas below, with a variety of meeting rooms and breakout spaces distributed throughout the building. The vibrant research environment is reflected in the wide variety of colloquia, seminars and discussion groups run by members of the Department.

The Department is committed to delivering impact. A major focus has come through the work of the Statistics group which has worked with both public and private sector partners on topics ranging from food safety and climate change to biological dosimetry and digital banking. Members of the Department played a major role in the University’s response to the COVID-19 pandemic and beyond the University were engaged at local, national and international levels.

Research is integrated into the Department’s teaching at undergraduate and postgraduate levels, a particular highlight being the final year projects undertaken by our undergraduates, which enable them to study a specialised area in-depth, guided by a member of staff.

Mathematical Sciences REF Impact Case Studies

Mathematical Sciences submitted six impact case studies to REF2021, demonstrating a wide range of impact.  All of them were rated as "world-leading" or "internationally excellent".

Click below to read more about our case studies

Quantifying Uncertainty in Risk Assessment for Food Safety

Since 2005, Professor Craig’s research around quantification of uncertainty has had a significant impact in the context of European food safety.
harvest time

Emulation and History Matching in the Oil and Gas Industry

Durham developed a statistical inference engine which is a key component of Roxar/Emerson's Tempest ENABLE oil and gas reservoir simulator package.
oil well emulation by enable

Statistical methods for biological dosimetry

Professor Einbeck and collaborators have produced cutting-edge models, methods and software for estimating levels of radiation doses.
Statistical methods for biological dosimetry

Policy implications of revised uncertainties related to climate change

The Met Office UK Climate Projections 2009 & 2018 use Durham research on Bayesian uncertainty analysis.
Orange-red sky with clouds

Digital Banking - Building Atom Bank's Digital Twin

The Atom Bank Digital Twin is a novel decision support suite developed in collaboration with our Statistics group.
Equations on blackboard

Bayesian approaches to X-ray imaging for material inference, dose reduction and improved image quality

Collaboration with X-ray imaging firm IBEX Innovations has produced innovative methods to improve material detection at lower radiation doses.
x-ray technology

 

 

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Research Areas

The research activity in the Department is distributed between four broad research groups: Pure Mathematics, Applied and Computational Mathematics, Mathematical and Theoretical Particle Physics, and Probability and Statistics.

More about our Research Areas

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The department has significant interactions with University-wide Institutes and Centres. 

Particularly strong and long-standing links are those with the Centre for Particle Theory (CPT) and the Institute for Particle Physics Phenomenology (IPPP), both of which are joint operations with the Department of Physics (which hosts the IPPP). 

  • Institute for Particle Physics Phenomenology

    The IPPP was founded in 1999 as the UK’s national centre for particle phenomenology, researching the properties and behaviour of the most fundamental building blocks of nature.
    Eagle Project Cosmo Simulation
  • Centre for Particle Theory

    The Centre for Particle Theory has won an international reputation for its research. It unites the theoretical particle physics groups in the Physics and Mathematical Sciences departments.
    Centaurus Optical Cosmo Simulation

Institute for Particle Physics Phenomenology

The IPPP was founded in 1999 as the UK’s national centre for particle phenomenology, researching the properties and behaviour of the most fundamental building blocks of nature.
Eagle Project Cosmo Simulation

Centre for Particle Theory

The Centre for Particle Theory has won an international reputation for its research. It unites the theoretical particle physics groups in the Physics and Mathematical Sciences departments.
Centaurus Optical Cosmo Simulation