Analysis

Analysis is an extremely broad mathematical discipline. In Glasgow, research in analysis encompasses partial differential equations, harmonic analysis, complex analysis and operator algebras. The group currently consists of three members of academic staff. More information about our research interests can be found through the links below and information about postdocs, research students, grants and collaborators through the links on the right.

Dr Anna Kirpichnikova Lecturer

Harmonic analysis; analysis of PDEs on Riemannian manifolds; asymptotical methods; inverse problems; spectral theory of self-adjoint operators

Dr Ulrich Kraehmer Lecturer

Compact quantum groups and their homogeneous spaces; noncommutative geometry and classical Dirac operators

Member of other research groups: Geometry and Topology, Algebra
Research students: Jake Goodman, Ana Rovi

Prof Peter H Kropholler Chair of Pure Mathematics

Analysis on groups

Member of other research groups: Algebra
Research students: Fawad Hussain, Joseph Mullaney

Dr Stephen J Watson Lecturer

The application of new mathematical ideas and new computational paradigms to material science, with an emphasis on self-assembling nano-materials; analysis and numerical analysis of partial differential equations arising in Continuum Physics; Material Science and Geometry.

Member of other research groups: Solid Mechanics

Dr Stuart White Lecturer

C* and von Neumann algebras; rigidity and similarity properties of operator algebras

Member of other research groups: Geometry and Topology, Algebra
Research students: Liam Dickson, Tomasz Pierzchala

Liam Dickson PhD Student

Research Topic: Perturbations of operator algebras
Supervisor: Stuart White

Tomasz Pierzchala PhD Student

Research Topic: Preduals of dual Banach algebras
Supervisor: Stuart White