Research in Mathematical Sciences
Mathematical research at the University of Essex is undertaken in the context
of a transdisciplinary structure that recognises that mathematics, including
what can be very abstract mathematics, is an essential part of research in many
other disciplines. Members of the Department of Mathematical Sciences are linked
with other departments and contribute to their research agendas. Thus there are
staff linked with:
School of Biological Sciences
(SBS) in the area of bioinformatics, biostatistics and mathematical ecology.
School of Computer Science and
Electronic Engineering (CSEE) in the areas of operational research,
constrained optimisation, combinatorial algebra, cryptography and network
School of Health & Human Sciences
(SHHS) and the NIHR Research
Design Service (NIHR-RDS) for the East of England in the area of medical
It is characteristic of the uses of mathematics that there is often a central
core of ideas which has applications in a number of disciplines. The department
encourages this view, and the cross-fertilisation that goes with it.
Scope of the Department
Members of staff in the Department of Mathematical Sciences are research
active in Pure Mathematics, Statistics and Operational Research. The research of
the department is structured in two groups. Staff members participate in
several groups within DMS or between linked and other departments. The two
groups of DMS reflect the major fields of mathematical sciences research of the
Algebra and Discrete Mathematics (ADM)
Peter Higgins; David Penman; Chris Saker; Alexei Vernitski; Gerald Williams
The Algebra and Discrete Mathematics Group, which were entered under Computer
Science at the last RAE, publish papers in discrete mathematics (in particular,
such areas as graph theory and group theory), including combinatorial and
computational aspects of discrete mathematics. We conduct abstract study of
languages (including some inspired by programming languages), networks
(including some inspired by biological networks), semigroups (including some
inspired by finite automata) and equations (including some inspired by
arithmetical laws). Our results include both mathematical statements and
algorithms for solving problems, and we also study computational complexity of
the problems and efficiency of the algorithms.
ADM publishs in algebraic and computational journals that include Theoretical
Computer Science and the International Journal of Algebra and Computation.
Mathematical Modelling and Data Analysis (MMDA)
Edward Codling; Hongsheng Dai; John Ford; Andrew Harrison; Berthold
Lausen; Aris Perperoglou; Abdel Salhi; Qingfu Zhang
All members of the group are active researchers in various types of
mathematical modelling and data analysis. Ford, Salhi and Zhang are interested
in optimisation techniques, including numerical and evolutionary approaches.
Ford and Zhang are members of the CSEE-based Intelligent Systems group; their
work was submitted with that group in the last RAE. Qingfu Zhang has a joint
appointment (70% CSEE, 30 % DMS).
The research of the statisticians in the Department, Hongsheng Dai, Berthold
Lausen and Aris Perperoglou, are in the fields of biostatistics, clinical and
health trials, computational and mathematical statistics, probability and
Codling’s research is based on mathematical modelling (‘bottom-up’ modelling
and analysis), and there is widespread need for such research across the
Biological and Ecological Sciences.
The research of Harrison is based on the analysis of large omic datasets (‘top-down’ modelling and analysis), a central subject in modern
biological and ecological research. Much of this data is freely available from
the public domain or data of collaborative clinical trials and dwarfs anything
that can be produced locally at Essex.
For further information, please see the individual research profiles on the
'People' section of our website.
Last modified on 19 December 2012.