Information last updated: 22/4/2014
Prof. C. Cannings,
School of Mathematics and Statistics.
University of Sheffield,
Phone: 44-(0114)-222-3904 (direct)
The Hieratic Project
The central aim of HIERATIC is to develop a new framework for understanding
complex systems as a multi-level hierarchy of sub-systems using non-linear
decompositions. To achieve this goal, HIERATIC is structured in three interlinked
sets of activities: theoretical work, deriving the novel mathematics required to
identify suitable non-linear state space reductions of complex systems; software
development of efficient multi-scale simulation and prediction libraries;
demonstrators, illustrating the power of our results – network dynamics, cell cycle
simulations, social interactions in animals. The theoretical work will use
unconventional approaches from topology and dynamical systems theory to derive an
algorithmic approach to identifying “coarse-grainings” of large complex systems.
These algorithms will be used to develop highly efficient simulation and prediction
tools, integrated with the world-leading software libraries MASON and PRISM. The
demonstrators will show the potential application of these techniques, in a range
of applications, including validation on large empirical data sets. The project
brings together leading researchers in complex systems theory, biosystems,
multi-agent simulation, and experimental ecology, from around the EU and USA.
The Amorph Project
A recent EPSRC funded project AMORPH brought together researchers from the
Universities of Nottingham, Leeds, Sheffield, Southampton, Royal Holloway, London and
British Telecom, to study aspects of Amorphic Computing based on random graph theory. More
information is given at the link above.
Member of the Advisory Editorial Board, SCIRP
Editor in Chief, Applied Mathematics,
Joint Editor, Handbook of Statistical Genetics, (with Martin Bishop & David Balding)
Current Advances in Mathematics.
International Journal of Computer Science and Applications.
International Journal of Mathematics and Statistics.
Journal of Information Security,
Research and Reviews: Discrete Mathematical Structures.
Statistics, Optimisation and Information Computing.
SM Journal of Biometrics and Biostatistics.
Some Invited Lectures
Some Lecture Courses