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.

Fingerprint The fingerprint is based on mining the text of the scientific documents related to the associated persons. Based on that an index of weighted terms is created, which defines the key subjects of research unit

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

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Research Output 2012 2019

  • 9 Conference contribution with ISSN or ISBN
  • 5 Article
  • 4 Software

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 journalArticleResearchpeer-review

Open Access

Risk-aware decision support with Constrained Goal Models

Argyropoulos, N., Angelopoulos, K., Mouratidis, H. & Fish, A., 8 Oct 2018, In : Information and Computer Security. 26, 4, p. 472-490

Research output: Contribution to journalArticleResearchpeer-review

Open Access
Risk assessment
Systems analysis
Requirements engineering
Information systems
Decision making

Visual algebraic proofs for unknot detection

Fish, A., Lisitsa, A. & Vernitski, A., 17 May 2018, 10th International Conference on Theory and Applications of Diagrams. Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S. & Bellucci, F. (eds.). Edinburgh, Vol. 10871. p. 89-104 (Lecture Notes in Computer Science).

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBNResearchpeer-review

Open Access
Knot Theory

Activities 2010 2019

British and Irish Region of the International Biometric Society (External organisation)

Anestis Touloumis (Member)

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

PhD Examination: Brunel University

Andrew Fish (Examiner)
18 Jan 2019

Activity: External examination and supervisionResearch degree

25th International DMS Conference on Visualization and Visual Languages

Andrew Fish (Chair)
8 Jul 20199 Jul 2019

Activity: EventsConference