Professor J. Hyam RUBINSTEIN

Position: Professor
Room: 175
Ext. Number: 45548
Research Group:- Geometry & Topology
Interests: - Differential Geometry
- Shortest network design
- Minimal Surfaces
- Geometric Topology of 3- and 4-manifolds

Recent Publications:

  • Bounding Embeddings of VC Classes into Maximum Classes (2015) more
  • Maximizing the net present value of a Steiner tree (2015) more
  • Gradient-constrained discounted Steiner trees I: optimal tree configurations (2015) more
  • Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point (2015) more
  • Optimal curvature and gradient-constrained directional cost paths in 3-space (2015) more

All Selected Publications

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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:

Ana DOW "Cobordism classes of non-positively curved manifolds"
David KIRSZENBLAT "Topics in Optimisation"
Samuel OWEN "Mathematics of Shape Applied to Neuron Morphology"
Tianyu (Tim) YANG "A Combinatorial Ricci Flow for Ideal Triangulations"

Past Postgraduate Supervision:

Jose Manuel AYALA-HOFFMANN "On Spaces of Constrained Paths"
Loretta BARTOLINI "One-sided Heegaard splittings of 3-manifolds"
Julie CAIN "Random graph processes and optimisation"
Alan CHANG "Optimisation in Underground Mining."
James COFFEY "3-manifolds built from injective handlebodies"
Bell FOOZWELL "Haken n-Manifolds"
Christopher GODDARD "Various topics in comparison geometry and discrete mathematics."
David KIRSZENBLAT "Dubins Network"
Mariam KREYDEM "Analysis and set theory"
Kevin PRENDERGAST "Steiner ratio for gradient constrained networks"
Tharatorn SUPASITI "Boundary and decomposition in group theory and topology"
Paul WILLIAMS "Unifying fractional calculus with time scales"

Past MSc Students:

Samuel OWEN
Oliver LEIGH

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
2007 - 2011 ARC Discovery Statistical Topology and its Application to Deriving New Geometric Invariants
2008 - 2010 ARC Linkage Rapid optimisation in underground mining network design
2007 - 2009 AMIRA Contract Planning and Rapid Integrated Mine Optimisation (PRIMO)
2006 - 2008 ARC Discovery Minimal surfaces
2002 - 2006 ARC Discovery Topics on 3- and 4-dimensional manifolds
2004 - 2006 ARC Linkage Decision tools for underground mine development


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


Academic Board member


Management Committee
Strategic Planning Committee