Bridget's undergraduate and postgraduate studies were at UEA (BSc in Chemistry and Mathematics and PhD in Pure Mathematics). She joined the Open University in 1995 as a lecturer in Pure Maths, after a tutiorship at Exeter University.
Bridget's research interests lie in the overlap of design theory and graph theory, where her interest in the symmetry of objects also leads to the study of automorphisms and permutation groups. Most of her research falls under the following three headings:
Most work on design theory has an implicit (if not explicit) assumption of finiteness; removing this assumption leads to topics in infinite design theory, which, although part of set theory, is very combinatorial in nature. Infinite designs are particularly interesting because many ideas and techniques from finite design theory may be applied with only minor modifications where necessary, yet in other ways they behave very differently to finite designs. Bridget has published several papers on infinite designs, including one, written jointly with Prof. Peter Cameron (QMUL), that gives the definitive definition.
Latin squares are ubiquous structures which have recently gained much public interest through the popularity of Sudoku, which are one particular type of Latin square. Despite centuries of study, there are still surprisingly many basic problems remaining unanswered.
Work in design theory includes research on permutations and automorphisms of designs, configurations in designs, Steinr triple systems and graph decompositions.
Current work involves countably infinite homogeneous Steiner triple systems and subsystems of Netto triple systems.
|Pure Maths: Combinatorics Research Group||Group||Faculty of Mathematics, Computing and Technology|
|Role||Start date||End date||Funding source|
|Lead||01/Jan/2015||31/May/2015||EPSRC EPSRC Engineering and Physical Sciences Research Council|
The overarching aim of this proposal is to make significant progress towards classifying homogeneous and set-homogeneous Steiner triple systems. In doing so, it will not only investigate possible amalgamation classes of Steiner triple systems, but will also investigate the subgroup structure of two classes of finite designs. Another aspect of this proposal is the decomposition of infinite circulant graphs into infinite Hamiltonian paths which builds on previous work by Webb and the researchers at The University of Queensland.