Dr Grant

Dr Grant Cairns

Reader and Associate Professor

College of Science, Health and Engineering

School of Engineering and Mathematical Sciences

Department of Mathematics and Statistics

Physical Sciences 2, Room 217, Melbourne (Bundoora)


Doctorat D’Etat, U.S.T.L., Montpellier, France



Area of study

Mathematics and Statistics

Brief profile

Awarded a Carrick National Teaching Citation in 2007 for 'fostering mathematics students' development and encouraging their active engagement in mathematics, through high-level reading groups, seminars, enquiry driven research projects and joint publication'.

Research interests

Differential geometry

- Lie algebras and their cohomology

Graph theory

- Graph drawings

Topological dynamics

- Topological dynamics of group actions

Recent publications


For example:

Grant Cairns, Ana Hinic Galic, Yuri Nikolayevsky and Ioannis Tsartsaflis, `Geodesic bases for Lie algebras', Linear Multilinear Algebra 63 (2015), no. 6, 1176–1194.

Grant Cairns, Timothy J. Koussas and Yuri Nikolayevsky, `Great-circle spherical thrackles', Discrete Math. 338 (2015), no. 12, 2507–2513.

Christian Aebi and Grant Cairns, `Wilson Theorems for Double-, Hyper-, Sub- and Super-factorials', Amer. Math. Monthly 122 (2015), no. 5, 433–443.

Grant Cairns and Stacey Mendan, 'Symmetric Bipartite Graphs and Graphs with Loops', Discrete Math. Theor. Comput. Sci., 71 (2015), no. 1, 97–102.

Grant Cairns, Stacey Mendan and Yuri Nikolayevsky, 'A sharp refinement of a result of Zverovich--Zverovich', Discrete Math. 338 (2015), no. 7, 1085–1089.

Older publications

 See personnel web site: http://grantcairns.ltumathstats.com/


Research projects

 I have been involved in numerous research projects and several areas of pure mathematics, as in indicated in my publications. Write to me for further information.