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A/Prof

Craig Hodgson

Associate Professor & Reader
Mathematics and Statistics
3-manifolds
hyperbolic
knots
differential geometry
science & technology
mathematics
physical sciences
pure mathematics
hyperbolic 3-manifolds
Craig Hodgson's Profile Picture
A/Prof

Craig Hodgson

 
Division
Science
 
Primary Interest
Geometry
Craig Hodgson's Profile Picture
A/Prof

Craig Hodgson

 
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Projects

Displaying the 6 most recent projects by Craig Hodgson.

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Classical and quantum invariants of low-dimensional manifolds

This project aims to advance our understanding of knots and 3-dimensional spaces, which arise naturally in fields as diverse as physics, com..

2019 - 2022
Active
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INVARIANTS, GEOMETRIC AND DISCRETE STRUCTURES ON MANIFOLDS

This project aims to develop practical methods for finding geometric and discrete structures on manifolds in both low and high dimensions an..

2016 - 2019
Completed
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Triangulations in dimensions 3 and 4: discrete and geometric structures

Recently there have been spectacular advances in understanding 3-dimensional spaces and the interaction between ideas in mathematical physic..

2013 - 2017
Completed
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Triangulations in dimension three: algorithms and geometric structures

Perelman recently won a Fields medal for the solution of the geometrisation and Poincare conjectures on three-dimensional spaces, using a ve..

2010 - 2013
Completed
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Geometric structures on 3-manifolds

Three-dimensional manifolds are of central importance in topology, algebra, and cosmology (providing models for the universe). Thurston's Ge..

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Three-dimensional geometry and topology

This project will carry out important fundamental research into the geometry and topology of 3-dimensional manifolds, an area of intense act..

6

Projects

Project Types

6

Research Grant

Scholarly Works

Displaying the 10 most recent scholarly works by Craig Hodgson.

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Non-geometric Veering Triangulations

Craig D Hodgson, Ahmad Issa, Henry Segerman

Journal article  |  2016  |  Experimental Mathematics

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The 3D-index and normal surfaces

S Garoufalidis, CD Hodgson, NR Hoffman, JH Rubinstein

Journal article  |  2016  |  Illinois Journal of Mathematics

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1-efficient triangulations and the index of a cusped hyperbolic 3-manifold

Stavros Garoufalidis, Craig D Hodgson, J Hyam Rubinstein, Henry Segerman

Journal article  |  2015  |  Geometry & Topology

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Triangulations of 3–Manifolds with essential edges

Craig Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann

Journal article  |  2015  |  Annales de la faculté des sciences de Toulouse Mathématiques

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On the Number of Hyperbolic 3-Manifolds of a Given Volume

Craig Hodgson, Hidetoshi Masai

Conference Proceedings  |  2013  |  Contemporary Mathematics : Geometry and Topology Down Under

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Projective deformations of hyperbolic Coxeter 3-orbifolds

Suhyoung Choi, Craig D Hodgson, Gye-Seon Lee

Journal article  |  2012  |  Geometriae Dedicata

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Triangulations of hyperbolic 3-manifolds admitting strict angle structures

Craig D Hodgson, J Hyam Rubinstein, Henry Segerman

Journal article  |  2012  |  Journal of Topology

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Veering triangulations admit strict angle structures

Craig D Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann

Journal article  |  2011  |  Geometry and Topology

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Hyperbolic Graphs of Small Complexity

Damian Heard, Craig Hodgson, Bruno Martelli, Carlo Petronio

Journal article  |  2010  |  Experimental Mathematics

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The shape of hyperbolic Dehn surgery space

Craig D Hodgson, Steven P Kerckhoff

Journal article  |  2008  |  GEOMETRY & TOPOLOGY

13

Scholarly Works

Keyword Analysis

Pure Mathematics
Expanding Knowledge
Mathematics
Non-Oriented Research
Other Mathematical Sciences

Credentials

Positions

Associate Professor & Reader

Mathematics and Statistics

Member

Australian Mathematical Society

Member

American Mathematical Society

Education

Doctor of Philosophy

Princeton University

Master of Arts

Princeton University

Master of Science

University of Melbourne

Bachelor of Science (honours)

University of Melbourne

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