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

  • Yang Tianyu, C. Hodgson. A combinatorial curvature flow for ideal triangulations. 2019.

  • A. Issa, C. Hodgson. Triangulating Cappell-Shaneson homotopy 4-spheres. 2017.

  • 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.

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Current Postgraduate Supervision

Name Thesis title

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"
Ahmad ISSA "Low dimensional topology and geometry"
Shanil RAMANAYAKE "Angle structures and triangulations for 3-manifolds"
Paul WILLIAMS "Unifying fractional calculus with time scales"
Tianyu (Tim) YANG "A combinatorial curvature flow for ideal triangulations"

Current MSc Students

Name Project title
Layne HALL "to be confirmed"

Past Honours & MSc Students

Name Project title
Blake DADD
Sam HART "Circle Packing and its Applications"
Ahmad ISSA
Joseph LYNCH
James SAUNDERSON "Mostow's Rigidity Theorem"
James WAN "More on the Hex Metric"

Recent Grant History

Year(s) Source Type Title
2019 - 2021 ARC Discovery Classical and quantum invariants of low-dimensional manifolds
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