# Research

Ranked joint 5th in the 2014 Research Excellence Framework (REF), Lancaster is one of the UK's top departments for research in mathematics and statistics.

## Pure Mathematics

We have strong research groups in Algebra and Geometry, Analysis and Probability, Discrete Mathematics and Geometric Rigidity Theory.

## Statistics

Research in statistics at Lancaster focuses on the interface of methodology and application. We believe that strong interaction with research users is imperative for developing new statistical ideas that are of practical importance.

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## Research Impact

Lancaster has a strong tradition of collaborative research with end-users and a track record of research that has led to impact.

Examples of impact from our research include:

- Use of extreme value research to guide design of coastal flood defences throughout the UK
- Crucial input into the High Court's investigation into the sinking of the M.V. Derbyshire, and the consequent introduction of new design standards for bulk carriers
- Statistical genetics research that highlighted poultry as the primary source of Campylobacteriosis infections in humans in New Zealand, resulting in a new code of practice for the poultry industry and a halving of human cases
- Use of robust adaptive designs across a number of clinical trials leading to more cost-efficient trials, and early-stopping of trials of drugs that are clearly not effective