Professor J. Hyam RUBINSTEIN

Position: Professor
Email: H.Rubinstein@ms.unimelb.edu.au
Room: 175
Ext. Number: 45548
Webpage: www.ms.unimelb.edu.au/~rubin
Research Group:- Geometry & Topology
Interests: - Differential Geometry
- Geometric Topology of 3- and 4-manifolds
- Minimal Surfaces
- Shortest Network Design

Recent Publications:

  • Curvature-constrained directional-cost paths in the plane (2012) more
  • Optimal design of an underground mine decline with an associated vent raise (2012) more
  • Application of graph theory algorithms to detect multiple recirculation paths (2012) more
  • Gradient-Constrained Minimum Networks. III. Fixed Topology (2012) more
  • A Geometric Approach to Sample Compression (2012) 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:

Jose Manuel AYALA-HOFFMANN "On Spaces of Constrained Paths"
Ana DOW "Cobordism classes of non-positively curved manifolds"
Joshua HOWIE "Invariants in low-dimensional topology derived from mathematical physics"
David KIRSZENBLAT "Dubins Network"
Samuel OWEN "Mathematics of Shape Applied to Neuron Morphology"
Tianyu (Tim) YANG "Topology"

Past Postgraduate Supervision:

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."
Kevin PRENDERGAST "Steiner ratio for gradient constrained networks"
Paul WILLIAMS "Unifying fractional calculus with time scales"

Current PGD/Masters(RT) Students:

Oliver LEIGH
Katie BOWLES

Past Honours/PGD/Masters(RT) Students:

Ana DOW
Samuel OWEN
Michal ROUSSET
Sebastian STRUGNELL
David KIRSZENBLAT

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

Awards:

Year Name Organisation
2004 Hannan Medal Australian Academy of Sciences
2003 Fellow of the Australian Academic of Sciences Australian Academy of Sciences
1987 Medal of the Australian Mathematical Society Australian Mathematical Society

Responsibilities:

Academic Board member

Committees:

Management Committee
Strategic Planning Committee