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.
BSc (Hons) Mathematics,
PhD (Lond) Mathematics
Learning & Teaching Interests
Matt is currently the programme leader for the BSc Mathematics and the MMath programmes; he teaches on this programme as well as on masters degrees in the Business School.
Research Outputs & Interests
"Bounded Composition Operators on Weighted Bergman Spaces", Journal of Mathematical Analysis and Applications, (2001)256 (2), 650-667, ISSN: 1096-0813.
"Shift Invariant Subspaces of Composition Operators", Archiv der Mathematik,(2005) 84 (3), 258-267, ISSN: 14208938.
"Compact Composition Operators not in the Schatten Classes", Proceedings of the American Mathematical Society, (2005) 134 (7), 1947-1953, ISSN: 00029939.
"The Nielsen Kernel of an Arbitrary Riemann Surface", Bulletin of the London Mathematical Society, (2006) 38 (5), 825-828,ISSN: 14692120.
"A note on the Königs domain of compact composition operators on the Bloch space", Journal of Inequalities and Applications, (2011) 2011:31
"Compact Composition Operators with Symbol a Universal Covering Map", Journal of Functional Analysis, 268 (2015), no. 4, 887–901
"Compact Composition Operators with Symbol a Universal Covering Map onto a Multiply Connected Domain", Illinois J. Math. 59 (2015), no. 3, 707--715.