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 group of similar strength has been created and recent new posts have established a probability group too. 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

- Functor Categories for Groups
- North British Functional Analysis Seminar (NBFAS)
- Algebra and Representation Theory in the North (ARTIN)

as well as more informal connections and collaborations.