A/Prof Craig HODGSON
Associate Professor/Reader
School of Mathematics and Statistics
- +61 3 834 45553
- craigdh@unimelb.edu.au
- Website https://researchers.ms.unimelb.edu.au/~craigdh@unimelb/
- 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.
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" |
| Tianyu (Tim) YANG | "A combinatorial curvature flow for ideal triangulations" |
Past MSc Students
| Name | Project title |
|---|---|
| Natalie AISBETT | |
| Carol BADRE | |
| Blake DADD | |
| 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 |
|---|---|---|---|
| 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 |