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 David Bourne Lecturer
Calculus of variations; partial differential equations; numerical analysis; applications in fluid and solid mechanics and materials science; application of mathematics to problems in industry
Member of other research groups: Solid Mechanics, Fluids
Dr Anna Kirpichnikova Lecturer
Harmonic analysis; analysis of PDEs on Riemannian manifolds; asymptotical methods; inverse problems; spectral theory of self-adjoint operators
Dr Lucia Scardia Lecturer
Calculus of variations and partial differential equations; applications in materials science: plasticity and dislocations, rod and plate theories, fracture and damage mechanics, homogenisation.
Member of other research groups: Solid Mechanics
Dr Christian Voigt Lecturer
Noncommutative geometry; K-theory; Quantum groups
Member of other research groups: Geometry and Topology, Algebra
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 Senior 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, Jorge Castillejos Lopez
Dr Joachim Zacharias Reader
C*-algebras, their classification and amenability properties; special examples of C*-algebras; K-theory and non commutative topology, noncommutative dynamical systems, geometric group theory with applications to C*-algebras.
Member of other research groups: Integrable Systems and Mathematical Physics, Geometry and Topology, Algebra
Research students: Andrew Hawkins, Gabriel Tornetta
Jorge Castillejos Lopez PhD Student
Research Topic: Operator Algebras
Supervisor: Stuart White
Liam Dickson PhD Student
Research Topic: Perturbations of operator algebras
Supervisor: Stuart White
Andrew Hawkins PhD Student
Research Topic: Construction of Spectral Triples on C*-Algebras
Supervisor: Joachim Zacharias
Tomasz Pierzchala PhD Student
Research Topic: Preduals of dual Banach algebras
Supervisor: Stuart White
Gabriel Tornetta PhD Student
Research Topic: Bivariant Cuntz Semigroup
Supervisor: Joachim Zacharias