Nick Gill invited to speak at international maths conference

Dr Nick Gill, Maths professor

Dr Nick Gill, associate professor of Maths, was an invited speaker at a conference in Banff, Canada on "Groups and Geometries" from August 25, 2019 to August 30, 2019.

This conference occurs every four years and is part of the Banff International Research Station (BIRS) programme of focused invitation-only conferences on topics of significant current mathematical interest.

Nick spoke on "The relational complexity of a finite primitive permutation group", and a video of the talk is available here.


Motivated by questions in model theory, Greg Cherlin introduced the idea of “relational complexity”, a statistic connected to finite permutation groups. He also stated a conjecture classifying those permutation groups with minimal relational complexity.

We report on recent progress towards a proof of this conjecture. We also make some remarks about permutation groups with large relational complexity, and we explain how this statistic relates to others in the literature, notably base-size. This work is joint with Pablo Spiga, Martin Liebeck, Francesca Dalla Volta, Francis Hunt and Bianca Lodà.

Nick is a member of USW's Mathematics Research Group.