CARMA forms the base for a vibrant
cross-university and intra-university Priority Research Centre. There is no other
corresponding group in Australia and there are very few internationally.
Mathematics, as "the language of high technology", underpins
all facets of modern life and current Information and Communication Technology (ICT), and yet
no other research centre exists which focuses on the implications of developments
in ICT, present and future, for the practice of research mathematics.
CARMA partly fills this
gap through the exploitation and development of techniques and tools for computer-assisted
discovery and data-mining including mathematical visualization.
CARMA research spans Computation Analysis
and Number Theory, Discrete Mathematics, Linear and Nonlinear Analysis, Optimisation and Simulation,
Topological Groups, Harmonic Analysis, Number Theory and Functional Analysis. Advanced
mathematical computation is equally essential to the solution of real-world problems;
sophisticated mathematics is core to software used by decision-makers, engineers,
scientists, managers and those who design, plan and control the products and systems
key to present-day life.
- To perform research and development relating to the informed use of
computers as an adjunct to mathematical discovery (including current
advances in cognitive science, in information technology, operations
research and theoretical computer science).
- To perform research and development of mathematics underlying
computer-based decision support systems, particularly in automation and
optimization of scheduling, planning and design activities, and to
undertake mathematical modelling of such activities.
- To promote and advise on the use of appropriate tools (hardware,
software, databases, learning object repositories, mathematical knowledge
management, collaborative technology) in academia, education and
- To make the University of Newcastle a world-leading institution for
Computer Assisted Research Mathematics and its Applications.