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      Dr Matthew Jones

      BSc (Hons), PGCertHE, PhD
      ROLE: Associate Professor in Mathematics
      SCHOOL: Science & Technology
      DEPARTMENT: Design Engineering & Maths
      TELEPHONE: +44 (0)20 8411 6271
      EMAIL: M.M.Jones@mdx.ac.uk
      1. Biography &
        Qualifications
      2. Learning &
        Teaching Interests
      3. Research Outputs &
        Interests
      4. Funded Research &
        Knowledge Exchange Projects
      5. Engagement &
        Impact

      • Biography &
        Qualifications

        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.

         Education:

        • BSc (Hons) Mathematics, 
        • PGCertHE, 
        • PhD (Lond) Mathematics

        Languages Spoken

        English, Welsh

      • 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

        Selected Publications:

        1. "Bounded Composition Operators on Weighted Bergman Spaces", Journal of Mathematical Analysis and Applications, (2001)256 (2), 650-667, ISSN: 1096-0813.
        2. "Shift Invariant Subspaces of Composition Operators", Archiv der Mathematik,(2005) 84 (3), 258-267, ISSN: 14208938.
        3. "Compact Composition Operators not in the Schatten Classes", Proceedings of the American Mathematical Society, (2005) 134 (7), 1947-1953, ISSN: 00029939.
        4. "The Nielsen Kernel of an Arbitrary Riemann Surface", Bulletin of the London Mathematical Society, (2006) 38 (5), 825-828,ISSN: 14692120.
        5. "A note on the Königs domain of compact composition operators on the Bloch space", Journal of Inequalities and Applications, (2011) 2011:31
        6. "Compact Composition Operators with Symbol a Universal Covering Map", Journal of Functional Analysis, 268 (2015), no. 4, 887–901
        7. "Compact Composition Operators with Symbol a Universal Covering Map onto a Multiply Connected Domain", Illinois J. Math. 59 (2015), no. 3, 707--715.

        Publication Feed

        Compact composition operators with symbol a universal covering map onto a multiply connected domain

        Jones, Matthew (2015) Compact composition operators with symbol a universal covering map onto a multiply connected domain. Illinois Journal of Mathematics, 59 (3). pp. 707-715. ISSN 0019-2082

        Composition operators induced by universal covering maps

        Jones, Matthew (2015) Composition operators induced by universal covering maps. In: 2015 Joint International Meeting AMS EMS SPM, 10-13 Jun 2015, Porto, Portugal.

        Invariant subspaces for composition operators on H^2

        Jones, Matthew (2000) Invariant subspaces for composition operators on H^2. In: Function Theory and Function Spaces, October 2000, Nottingham University.

        Geometric models for composition operators on the little Bloch space

        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.

        Compact composition operators with symbol a universal covering map

        Jones, Matthew (2015) Compact composition operators with symbol a universal covering map. Journal of Functional Analysis, 268 (4). pp. 887-901. ISSN 0022-1236

        View more publications

      • Funded Research &
        Knowledge Exchange Projects

      • Engagement &
        Impact

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