top of page


Home: Welcome


The objectives of the Centre are to:

  • be recognised as a world-class centre for education and research in group theory, combinatorics and computation

  • promote national and international collaborations in mathematics

  • support and complement the disciplines of Mathematics and Theoretical Computer Science at both undergraduate and postgraduate levels

  • extend commitment to mathematical outreach at all levels – to schools, the general community, professional societies, the mathematical and mathematics education communities, and especially to enthuse school children to enroll to study mathematics at UWA.

Home: About


Our research groups are dedicated to the study of mathematical structures with a high degree of symmetry. Our research covers the following areas:

Matrix Groups and Computational Group Theory

Studying symmetry using computers, and in particular, the development of highly sophisticated algorithms for such a study.

Permutation Groups

Researching the fundamental properties of permutation groups and use the developed theory to study classes of mathematical objects with a high degree of symmetry, such as graphs and geometries.

Graph Theory (Symmetry and Structure)

Solving a number of important open problems on Cayley graphs, and have significantly changed the status of various important topics in the area.

Finite Geometry and Buildings

Linking geometry with a finite number of objects with experimental design, information security, particle physics and coding theory.

Matroid Theory

Providing a very high level coarse description of any proper minor-closed class of graphs or binary matroids, but cannot be used to determine the fine-grained structure of any particular class.

Want to learn more about our research projects?

Home: Project
Home: Blog_Post_Gallery


Staff in the centre are eager to supervise PhD or Masters by research students in the areas of group theory and combinatorics. Students interested in applying should contact potential supervisors directly or email us.

The Centre is willing to pay for prospective PhD students from Australia to travel here so that you can discuss your options for a research project, get to know us and imagine yourself living in Perth. If you would like to take up this opportunity then please email us to apply.

bottom of page