Functional Analysis, in particular
- Locally solid topologies on Riesz spaces (vector lattices) and
the interaction between topological and order structures in such
spaces.
- C*- and Von Neumann-algebras; their interpretation as
non-commutative `function spaces', and the order structures of
such spaces.
Teaching: Abstract analysis, both at undergraduate level
(e.g. real analysis, metric spaces, Hilbert space, integration
theory) and at postgraduate level (functional analysis, topology,
measure theory).
Mathematics education, in particular
- the presentation of mathematics not in the school syllabus to
school pupils in order to stimulate their interest in mathematics,
- discovery methods, and other strategies for encouraging student
participation in mathematics lectures.
