A/Prof Craig HODGSON

Associate Professor/Reader

School of Mathematics and Statistics

  • Room: 172
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Hyperbolic geometry
  • Low dimensional topology
  • Differential geometry

Research Groups

Recent Publications

  • C. Hodgson, Ahmad Issa, Henry Segerman. Non-geometric Veering Triangulations. Experimental Mathematics, 25, 17-45, 2016. doi: 10.1080/10586458.2015.1005256.

  • 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 Hyam Rubinstein, Henry Segerman, Stephan Tillmann. Triangulations of 3–Manifolds with essential edges. Annales de la faculté des sciences de Toulouse Mathématiques, 24, 1103-1145, 2015. doi: 10.5802/afst.1477.

  • Stavros Garoufalidis, C. Hodgson, J Hyam Rubinstein, H. Segerman. 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Geometry & Topology, 19, 2619-2689, 2015. doi: 10.2140/gt.2015.19.2619.

  • 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.

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Current Postgraduate Supervision

Name Thesis title
Ahmad ISSA "Low dimensional topology and geometry"
Adam WOOD

Past Postgraduate Supervision

Name Thesis title
Norman DO "Intersection theory on moduli spaces of curves via hyperbolic geometry"
Damian HEARD "Computation of hyperbolic structure on 3-dimensional orbifolds"
Daniel MATHEWS " From algebra to geometry: A hyperbolic odyssey. The construction of geometric cone-manifold structures with prescribed holonomy"
Shanil RAMANAYAKE "Angle structures and triangulations for 3-manifolds"
Paul WILLIAMS "Unifying fractional calculus with time scales"

Current MSc Students

Name Project title
Blake DADD

Past MSc Students

Name Project title
Natalie AISBETT
Carol BADRE
Sam HART "Circle Packing and its Applications"
Ahmad ISSA
Joseph LYNCH
Robert QUIGLEY-MCBRIDE
James SAUNDERSON "Mostow's Rigidity Theorem"
Nicholas SHERIDAN
Sebastian STRUGNELL
James WAN "More on the Hex Metric"

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

Responsibilities

  • Exchange Student Advisor/Evaluator