Publications

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  • D. Kirszenblat, KG Sirinanda, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Minimal curvature-constrained networks. Journal of Global Optimization, 71-87, 2018. doi: 10.1007/s10898-018-0625-2.

  • KG Sirinanda, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Strategic underground mine access design to maximise the net present value. 607-624, Springer, 2018. doi: 10.1007/978-3-319-69320-0_35.

  • D Whittle, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Combined optimisation of an open-pit mine outline and the transition depth to underground mining. European Journal of Operational Research, 268, 624-634, 2018. doi: 10.1016/j.ejor.2018.02.005.

  • S. Garoufalidis, C. Hodgson, N. Hoffman, J. Rubinstein. The 3D-index and normal surfaces. Illinois Journal of Mathematics, 60, 289-352, 2016.

  • 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.

  • I. Aitchison, J. Rubinstein. Polyhedral metrics and 3-manifolds which are virtual bundles. Bulletin of the London Mathematical Society, 31, 90-96, 1999. doi: 10.1112/S0024609398004974.

  • I. Aitchison, S Matsumoto, J. Rubinstein. Dehn surgery on the figure 8 knot: Immersed surfaces. Proceedings of the American Mathematical Society, 127, 2437-2442, 1999. doi: 10.1090/S0002-9939-99-04716-4.

  • I. Aitchison, S Matsumoto, J. Rubinstein. Surfaces in the figure-8 knot complement. Journal of Knot Theory and its Ramifications, 7, 1005-1025, 1998. doi: 10.1142/S0218216598000541.

  • I. Aitchison, J. Rubinstein. Geodesic surfaces in knot complements. Experimental Mathematics, 6, 137-150, 1997. doi: 10.1080/10586458.1997.10504602.

  • I. Aitchison, J. Rubinstein. Incompressible surfaces and the topology of 3-dimensional manifolds. Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 55, 1-22, 1993. doi: 10.1017/S144678870003189X.

  • I. Aitchison, E Lumsden, J. Rubinstein. Cusp structures of alternating links. Inventiones Mathematicae, 109, 473-494, 1992. doi: 10.1007/BF01232034.