Luke is a first year Postgraduate Researcher based in the School of Mathematics, currently studying under Prof. Jim Anderson.
Luke’s research focuses on Hyperbolic Geometry, currently they are working on the Hadviger-Nelson Problem in the Hyperbolic Plane.
Luke’s current research focuses on applying Fuchsian Groups and using Hyperbolic tilings to find upper and lower bounds for the chromatic number of s-distance graphs in the Hyperbolic Plane.
Thesis title: Hadviger-Nelson Problem in the Hyperbolic Plane
Supervisors Prof. Jim Anderson
Date started: September 2023
Luke obtained their joint BSc and MSc in Mathematics from Lancaster University in 2021.