Themes

The following are the four themes that have been identified within Bridging the Gaps.

Uncertain Systems - Yves Tourigny

Encompassing areas of computer sciences and engineering where key advances still rely on tools from statistics, probability theory and discrete mathematics. Exemplars of research within this theme may be in telecommunications, bayesian statistics and artificial intelligence (AI) and uncertainty handling in systems engineering.

Pure Mathematics and Algorithms - Raphaël Clifford

The design and analysis of algorithms has long been closely connected with what has traditionally been called pure mathematics. There have been practical applications of number theory to the design of arithmetic circuits, computer arithmetic, computer algebra systems and to cryptograph. Other key mathematical techniques that cross the boundary between fields are graph theory, with applications too numerous to list, as well as pattern matching and discovery, on which the entire discipline of bioinformatics is arguably founded.

Media and Materials - Alan Champneys

The bridge between materials engineering and solid mechanics has become increasingly blurred, and there is huge scope for multiscale modelling techniques to be applied here. One exemplar of a topic within this theme is liquid crystal research. Mathematical models have been used to study equilibrium configurations of nematic liquid crystals in polyhedral domains motivated by prototypes for a new generation of bi-stable liquid crystals.

Computational Science - Chris Allen

This theme comprises scientific computing, GRID technologies, high-performance computing (HPC) and allied subjects. There is huge scope for engagement of this activity with theoretical computer science, which in turn relies on pure mathematics.