Matt is an Associate Professor in Mathematics; he studied for a PhD in mathematics at UCL specialising in the interconnections between operator theory, functional analysis and complex analysis in the context of composition operators.Since then he has continued to develop his research profile and currently works in such diverse areas as Riemann surface theory and covering maps as well as on the operator theoretic character of composition operators. Matt's most recent work generalises a well-established compactness condition for composition operators with univalent symbol to those with universal covering maps as symbols using a novel use of the Poincare series for Fuchsian groups.
Jones, Matthew (2016) Compact composition operators with symbol a universal covering map onto a multiply connected domain. Illinois Journal of Mathematics . (Accepted/In press)
Jones, Matthew (2015) Composition operators induced by universal covering maps. In: 2015 Joint International Meeting AMS EMS SPM, 10-13 Jun 2015, Porto, Portugal.
Jones, Matthew (2000) Invariant subspaces for composition operators on H^2. In: Function Theory and Function Spaces, October 2000, Nottingham University.
Jones, Matthew (2002) Geometric models for composition operators on the little Bloch space. In: One Day Function Theory Conference, Monday 16th September, 2002, De Morgan House, London.
Jones, Matthew (2015) Compact composition operators with symbol a universal covering map. Journal of Functional Analysis, 268 (4). pp. 887-901. ISSN 0022-1236