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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Requirements engineering Engineering & Materials Science
Business Process Mathematics
Ontology Engineering & Materials Science
Industry Engineering & Materials Science
Systems analysis Engineering & Materials Science
Unknot Mathematics
Process Design Mathematics
Requirements Engineering Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2017 2021

Research Output 2012 2019

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
Kronecker Product
Dependence Structure
High-dimensional Data
Hypothesis Testing
Covariance matrix

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

Activities 2010 2019

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