The principal research activity in pure mathematics at Lancaster over the last 20 years has concerned mathematical analysis and a strong international reputation has been established in this field. During the last five years, an algebra and geometry group of similar strength has been created as new posts have been filled. In addition, a group at the interface between algebra, analysis and combinatorics study geometric rigidity theory.

We also have links with researchers across the UK and internationally, through research networks such as QOP, NBFAS and ARTIN, as well as more informal connections and collaborations.

• Algebra and Geometry

• Analysis and Probability

• Geometric Rigidity Theory

Research in statistics at Lancaster is focussed at the interface of methodology and application. This stems from a philosophy that strong interaction with research users is imperative for the developing new statistical ideas that are of practical importance. This philosophy has led to research that has substantive influence on the discipline of statistics, for example over 10 RSS read papers in the past two decades, as well as considerable impact on other scientific disciplines, government bodies and industry.

Our research is divided into five main research areas, each with its own range of activities.  We also have active links with the operational research group based in the Department of Management Science - including co-running of the STOR-i Centre for Doctoral Training - and the CHICAS group from the Medical School.

We have strategic links with Science for Innovation in Norway and the Naval Postgraduate School in the US, the University of Washington and Northwestern University, as well as a range of collaborators from other scientific disciplines and from industry.

• Bayesian and Computational Statistics
• Changepoints and Time Series
• Extreme Value Statistics
• Medical and Social Statistics
• Statistical Learning

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 highlighed poultry as the primary source of Campylobecteriosis 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 in a number of clinical trials: leading to more cost-efficient trials, and early-stopping of trials of drugs that are clearly not effective.