Professor J. Hyam RUBINSTEIN
Professorial Fellow (Associate)
School of Mathematics and Statistics
- Room: G55
- Building: Peter Hall Building
- Campus: Parkville Campus
Research Interests
- Geometric Topology of 3- and 4-manifolds
- Minimal Surfaces
- Shortest network design
- Differential Geometry
Research Groups
Recent Publications
C. Hodgson, J. Rubinstein, H. Segerman. Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Journal of Topology, 5, 887-908, 2012. doi: 10.1112/jtopol/jts022.
C. Hodgson, J. Rubinstein, H. Segerman, S. Tillmann, J Hyam Rubinstein. Veering triangulations admit strict angle structures. Geometry and Topology, 15, 2073-2089, 2011. doi: 10.2140/gt.2011.15.2073.
P. Norbury, J. Rubinstein. Closed Geodesics on Incomplete Surfaces. Geometriae Dedicata, 116, 1-36, 2005. doi: 10.1007/s10711-005-1892-x.
I. Aitchison, J. Rubinstein. Localising Dehn's lemma and the loop theorem in 3-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society, 137, 281-292, 2004. doi: 10.1017/S0305004104007698.
J. Hass, P. Norbury, J. Rubinstein. Minimal spheres of arbitrarily high Morse index. Communications in Analysis and Geometry, 11, 425-439, 2003. doi: 10.4310/CAG.2003.v11.n3.a2.
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 non-positively curved manifolds" |
David KIRSZENBLAT | "Topics in Optimisation" |
Samuel OWEN | "Mathematics of Shape Applied to Neuron Morphology" |
Past Postgraduate Supervision
Name | Thesis title |
---|---|
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 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
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) |
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