Web Links

http://www.maths.lancs.ac.uk/~power/

Research Overview

My main research interests are in Geometric Rigidity Theory, which can be traced back to classical work of Euler, Cauchy and Maxwell on the rigidity of polyhedra and skeletal frames. Both the generic combinatorial theory and symmetric geometric theories are active research areas. Recent excitement has come from new themes such as constraint systems with symmetries, constraint systems in general normed linear spaces, infinite geometric structures, and from emerging connections with other mathematical areas, such as matrix completion theory and machine learning.I am happy to supervise PhD projects in these areas, as are other members of the Geometric Rigidity group at Lancaster.

PhD Supervision Interests

Geometric rigidity, infinite bond-node structures, crystallographic and quasicrystallographic bar-joint frameworks, rigidity operators, rigid unit modes, locally compact graphs and string-node meshes.