Staff profile

Qualifications

• BSc(La Trobe), PhD(La Trobe).

Teaching areas

• MAT1MAB Mathematical Applications for Biology

• MAT2MFC Mathematics Topics for Computer Science

• MAT3TA Topology and Analysis

• MAT4TD Topology and Dynamics

Professional involvement

• Awarded the Vice-Chancellor's Award for Excellence in Teaching in 2008.
• Awarded a Carrick National Teaching Citation for 'For persistent, student-learning focused curriculum development which enables non-maths students to build mathematical models for specific applications using a small core of mathematical concepts' in 2006.

Research interests

• Topological dynamics generally and discrete topological dynamics in particular. Relationships between topological and metric 'chaos' type conditions. Chaotic maps on hyperspaces of a topological space. Iterated function schemes and fractal image compression.

Recent publications and presentations

• Banks, G. Cairns, M. Jackson, M. Jerie, Y. Nikolayevsky and T. Poole, "On The Definition of a Topological Space, a cautionary tale", Austral. Math. Soc. Gaz. Vol. 35, No. 3, (2008) 195­202.

• J. Banks, "Chaos for induced hyperspace maps", Chaos, Solitons & Fractals, Vol. 25,  no. 3,  (2005)  681-685.

• J. Banks & B. Trotta, "Weak mixing implies mixing for maps on topological graphs", Journal of Difference Equations and Applications, Vol. 122, No. 12, (2005) 1071-1080.

• J. Banks, V. Dragan & A. Jones, Chaos: A Mathematical Introduction, CUP, Cambridge (2003) pp. 294.