Professor J. HYAM RUBINSTEIN
Position:
Professor
Room:
175
Ext. Number:
45548
Webpage:
Research Groups:
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
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:
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." |
Joshua HOWIE | "Invariants in low-dimensional topology derived from mathematical physics" |
David KIRSZENBLAT | "Dubins Network" |
Mariam KREYDEM | "Analysis and set theory" |
Kevin PRENDERGAST | "Steiner ratio for gradient constrained networks" |
Shanil (Don Buweneka) RAMANAYAKE | "Angle structures and triangulations for 3-manifolds" |
Tharatorn SUPASITI | "Boundary and decomposition in group theory and topology" |
Paul WILLIAMS | "Unifying fractional calculus with time scales" |
Past MSc Students:
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 Science |
2003 | Fellow of the Australian Academic of Science | Australian Academy of Science |
1987 | Medal of the Australian Mathematical Society | Australian Mathematical Society |
Responsibilities:
Academic Board member |
Committees:
Strategic Planning Committee |