Staff profile

Dr Grant Cairns

Reader, Associate Professor

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Physical Sciences 2, Room 217, Melbourne (Bundoora)

 

Qualifications

BE Hons, BSc, MScSt, UQLD., Doct. 3e cycle, Doct. D’Etat, U.S.T.L, Montpellier.

Area of study

Mathematics and Statistics

Brief Profile

Member of the University Higher Degrees Committee.

Advisor for the BSc degree.

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'.

Member of the 2011 First Year Maths Team that won the Vice-Chancellors Award for Teaching Excellence.

Director 2010 AMSI Summer School.

 

Research interests

Differential geometry

- Lie algebras and their cohomology

Graph theory

- Graph drawings

Topological dynamics

- Topological dynamics of group actions

Teaching Units

MAT2MEC Mechanics

MAT3TA Topology and Analysis

MAT3LPG Linear Programming and Game Theory

MAT4GG Groups and Geometry

Recent Publications

Grant Cairns and Yury Nikolayevsky, 'Outerplanar Thrackles', Graphs and Combinatorics 28 (2012), 85-96.

Christian Aebi and Grant Cairns, 'A property of twin primes', Integers 12 (2012), #A7.

Grant Cairns, Nhan Bao Ho and Tamas Lengyel, 'The Sprague-Grundy function of the real game Euclid', Discrete. Math. 311 (2011), 457-462.

Grant Cairns and Yury Nikolayevsky 'Generalized Thrackle Drawings of Non-Bipartite Graphs', Discrete and Computational Geometry 41 (2009), no. 1, 119-134.

Grant Cairns and Sebastian Jambor, 'The cohomology of the Heisenberg Lie algebras over fields of characteristic two',  Proc. Amer. Math. Soc. 136 (2008), 3803-3807.

Grant Cairns and Barry Jessup, 'Free submodules for the central representation in the cohomology of Lie algebras', Proc. Amer. Math. Soc. 136 (2008), 1919-1923.

Grant Cairns and Thanh Duong Pham, 'An example of a chaotic group action on the plane by compactly supported homeomorphisms', Topology Appl. 155 (2007), 614-617.

Older Publications

 See personnel web cite: 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.