Research Interests
 Geometric Topology of 3 and 4manifolds
 Minimal Surfaces
 Shortest network design
 Differential Geometry
Research Groups
Extra Information
I have supervised 15 honours students, 8 masters and 8 PhD students and currently have 3 PhD and 3 Honours students. Research topics in all my areas of interest are possible and my web site has more information.
Current Postgraduate Supervision
Name 
Thesis title 
Ana DOW 
"Cobordism classes of nonpositively curved manifolds" 
David KIRSZENBLAT 
"Topics in Optimisation" 
Samuel OWEN 
"Mathematics of Shape Applied to Neuron Morphology" 
Past Postgraduate Supervision
Name 
Thesis title 
Jose Manuel AYALAHOFFMANN 
"On Spaces of Constrained Paths" 
Loretta BARTOLINI 
"Onesided Heegaard splittings of 3manifolds" 
Julie CAIN 
"Random graph processes and optimisation" 
Alan CHANG 
"Optimisation in Underground Mining." 
James COFFEY 
"3manifolds built from injective handlebodies" 
Bell FOOZWELL 
"Haken nManifolds" 
Christopher GODDARD 
"Various topics in comparison geometry and discrete mathematics." 
Joshua HOWIE 
"Invariants in lowdimensional topology derived from mathematical physics" 
David KIRSZENBLAT 
"Dubins Network" 
Mariam KREYDEM 
"Analysis and set theory" 
Kevin PRENDERGAST 
"Steiner ratio for gradient constrained networks" 
Shanil RAMANAYAKE 
"Angle structures and triangulations for 3manifolds" 
Tharatorn SUPASITI 
"Boundary and decomposition in group theory and topology" 
Paul WILLIAMS 
"Unifying fractional calculus with time scales" 
Past MSc Students
Name 
Project title 
Ana DOW 

David KIRSZENBLAT 

Oliver LEIGH 

Samuel OWEN 

Michal ROUSSET 

Sebastian STRUGNELL 

Recent Grant History
Year(s) 
Source 
Type 
Title 
2013  2015 
ARC 
Discovery 
Triangulations in dimensions 3 and 4: discrete and geometric structures 
2010  2012 
ARC 
Discovery 
Triangulations in dimension three: algorithms and geometric structures 
2008  2010 
ARC 
Linkage 
Rapid optimisation in underground mining network design 
2007  2011 
ARC 
Discovery 
Statistical Topology and its Application to Deriving New Geometric Invariants 
2007  2009 
AMIRA 
Contract 
Planning and Rapid Integrated Mine Optimisation (PRIMO) 
2006  2008 
ARC 
Discovery 
Minimal surfaces 
Awards
Year 
Name 
Organisation 
2004 
Hannan Medal 
Australian Academy of Science 
2003 
Fellow of the Australian Academic of Science 
Australian Academy of Science 
1987 
Medal of the Australian Mathematical Society 
Australian Mathematical Society 
Responsibilities
Committees
 Strategic Planning Committee