Mathematical Sciences Research and Enterprise Group

Organization profile

Profile Information

Illustration for Mathematical Science Research and Enterprise GroupThe Mathematical Sciences Research and Enterprise Group has a focus on the development and the application of mathematical techniques for solving real world problems, which necessitates connections with other disciplines. Our expertise covers numerical methods, discrete mathematics, topology, theoretical and applied statistics. We collaborate with many UK and international academic institutes (e.g. University of Liverpool, UK and University of Montepellier, France) and industrial partners (e.g. Hurstwood Park Neuroscience Centre and Southern Water, UK).

The main research themes are Computational Methods (CM), Discrete Mathematics (DM) and Statistics (S). CM focuses on numerical methods for problems in applied mathematics and engineering, with applications including modelling the sound field radiated from a loudspeaker and the formation and growth of cavities in the spinal cord. DM focuses on the development and application of discrete mathematical techniques, particularly applied within computer science, including applications to visual logics to assist human reasoning, information visualisation and diagram generation algorithms, efficient knot detection methods with biological applications. S interests range from theoretical probability to applied statistics and rigorous machine learning, including statistical methodologies for analysing big data, marginal regression models with correlated discrete response variables, theoretical analysis of online prediction models and applied topological data analysis methods.

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    Projects

    Research Output

    Hypothesis Testing for the Covariance Matrix in High-Dimensional Transposable Data with Kronecker Product Dependence Structure

    Touloumis, A., Marioni, J. C. & Tavaré, S., 28 Oct 2019, (Accepted/In press) In : Statistica Sinica.

    Research output: Contribution to journalArticle

    Open Access
    File
  • Integral Methods in Science and Engineering: Analytical Treatment and Numerical Approximations

    Constanda, C. (ed.) & Harris, P. (ed.), Aug 2019, Birkhäuser. 478 p.

    Research output: Book/ReportBook - edited

    The efficacy of Euler diagrams and linear diagrams for visualizing set cardinality using proportions and numbers

    Stapleton, G., Chapman, P., Rodgers, P., Touloumis, A., Blake, A. & Delaney, A., 28 Mar 2019, In : PLoS ONE. 14, 3, e0211234.

    Research output: Contribution to journalArticle

    Open Access
    File

    Activities

    IEEE Symposium on Visual Languages and Human-Centric Computing

    Andrew Fish (Member of programme committee)
    19 Oct 2019

    Activity: EventsConference

    25th International DMS Conference on Visualization and Visual Languages

    Andrew Fish (Chair)
    8 Jul 20199 Jul 2019

    Activity: EventsConference

    UK Council for Graduate Education (External organisation)

    Andrew Fish (Member)
    21 Jun 2019

    Activity: External boards and professional/academic bodiesPersonal board membership of professional/academic bodies