Mathematics and Computation for Complex Systems

The theme focuses on the mathematical and computational description of system dynamics.

It includes areas such as:

  • computational group theory
  • the study of mathematical objects with high degrees of symmetry
  • algebraic graph theory
  • finite geometry
  • dynamical systems theory and optimization
  • the stability of fluid and solid mechanics systems
  • control theory
  • robotics
  • artificial neural networks
  • signal and image processing
  • computer vision
  • sensor networks

Research groups and areas

Applied Mathematics
Applied Mathematics
This research group uses the theory and techniques of mathematics and statistics to understand and deal with the "real world".

‘World’ may mean the physical world (for example, weather forecasting), or it may mean human-created activities (such as financial mathematics).

Biological and physical sciences, computing, commerce, medicine, manufacturing industry and environmental management are some of the fields which need to connect with mathematics and it’s the job of the applied mathematician to make the connections.
Automation and Sustainability
The IDEAL House project includes all aspects where electrical, electronic, and computing technologies can contribute to human well-being. Facets of this type of house include:

  • energy production
  • energy efficiency
  • automated control of appliances
  • leisure and entertainment
  • comfort and safety
Centre for Applied Statistics
Centre for Applied Statistics
This centre provides expert training and consultancy in statistics to enable the University, industry and government to produce excellent research.
Centre for the Mathematics of Symmetry and Computation
Centry for the Mathematics of Symmetry and Computation
This centre is focused on research in the areas of group theory, combinatorics and computation. Particular areas of research include:

  • computational group theory
  • properties of permutation groups
  • study of mathematical objects with high degrees of symmetry
  • algebraic group theory
  • finite geometry
  • matroid theory
Computational Modelling
Computation Modelling refers to the areas of research that require computer simulation of complex systems. Research groups in this area make use of mathematical and computational methods for understand biological systems and solving information problems in the life and health sciences, focussing on:

  • bioinformatics
  • computational biology
  • complex systems
Computer Vision
Computer vision is a branch of artificial intelligence which aims to extract intelligent information about the three dimensional world from two dimensional images.
REV logo
The Renewable Energy Vehicle project (REV) is an initiative formed by The University of Western Australia to design and develop environmentally sustainable technologies for future transportation. In times of rising fuel prices, growing air pollution and global warming, finding ways for sustainable, environmentally friendly transportation is a fundamental goal.
Logic and Computation
Logic and Computation

This group uses logic and related techniques to model, specify, verify and reason about computational processes, and in particular, those of complex, reactive and dynamic systems. Automated reasoning algorithms and tools are developed to be used to verify the correctness, reliability or security of such systems.

Mathematics and Information Science
Mathematics and Information Science

This group reflects academic interests across related disciplines in mathematics and its applications in engineering and physical science at UWA.

They have strong interdisciplinary links and a significant advisory role on academic matters relating to teaching, research, appointments and promotions.

Pure Mathematics
Pure Mathematics
Pure Mathematics proves theorems in a wide range of topics usually motivated and illustrated by problems in physics, engineering and computer science.

Topics can be categorised roughly as “algebra” and “analysis”. Algebra has a discrete feel to it (like constructing or breaking codes), whereas analysis has a continuous flavour (like studying properties of mechanical systems).
Robotics and Automation
Research is being conducted on autonomous mobile robots, including intelligent driving and walking robots, autonomous underwater vehicles, and unmanned aerial vehicles.
Signals and Information Processing
Signal processing
This area focuses on time-frequency and statistical analysis and modelling of audio-visual, biometric signals (e.g. audio speech and visual face features) for the purposes of pattern recognition and modelling of human-computer interaction, including:
  • speech enhancement
  • speech and speaker recognition
  • object recognition and tracking
  • interpretative behaviour analysis
Simulation and Modelling
Formal Methods
This group researches naturally-occurring systems to predict future behaviour and allow for the better management of:
  • bushfires
  • epidemics
  • crowds
The study of mathematical statistics involves quantitative skills and knowledge of statistical methods, both their practical application and their mathematical foundations. 

Applied statistics is concerned with the application of statistical methods. These applications can be in a huge variety of areas, such as medicine, business, finance, science and industry.

Research includes:

  • practical experience using computer systems to analyse data
  • the ability to understand and criticise arguments based on numerical data or mathematical reasoning