
Overview
Background
Benjamin Burton's research interests include computational geometry and topology, combinatorics, and information security. He also maintains an active role in gifted-and-talented programmes for secondary school students.
Benjamin Burton's research involves a blend of techniques from pure mathematics and computer science. His main interest is in computational geometry and topology in three and four dimensions, looking at problems such as how a computer can recognise whether a loop of string is knotted, or how it can identify large-scale geometric structures in a three-dimensional space. He is the primary author of the open source software package Regina, which implements state-of-the-art algorithms in this field.
His multi-disciplinary background includes a PhD in geometry and topology, an honours degree in combinatorics, research experience in information security, and three years as a research analyst in the finance industry. He has worked at several universities in Australia and overseas.
He maintains a strong interest in enrichment programmes for gifted and talented high school students, including the Mathematics and Informatics Olympiads and the National Mathematics Summer School. From 1999 until 2008 he directed the Australian training programme for the International Olympiad in Informatics (IOI), and from 2009 to 2014 he holds a seat on the international IOI Scientific Committee.
Benjamin is an active member of the UQ Ally Network, an award-winning program that supports and celebrates diversity of sexuality, gender and sex at UQ and in the broader community.
Availability
- Professor Benjamin Burton is:
- Available for supervision
- Media expert
Fields of research
Qualifications
- Bachelor (Honours) of Science, The University of Queensland
- Doctor of Philosophy, University of Melbourne
Works
Search Professor Benjamin Burton’s works on UQ eSpace
2004
Journal Article
Face pairing graphs and 3-manifold enumeration
Burton, Benjamin A. (2004). Face pairing graphs and 3-manifold enumeration. Journal of Knot Theory and Its Ramifications (JKTR), 13 (8), 1057-1101. doi: 10.1142/S0218216504003627
Funding
Supervision
Availability
- Professor Benjamin Burton is:
- Available for supervision
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Supervision history
Current supervision
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Doctor Philosophy
Efficient algorithms in three-dimensional topology
Principal Advisor
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Doctor Philosophy
Applying Operations Research techniques to Pure Mathematics problems
Associate Advisor
Other advisors: Dr Michael Forbes
Completed supervision
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2025
Doctor Philosophy
A computational approach to 4-manifold topology
Principal Advisor
Other advisors: Associate Professor Ramiro Lafuente
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2024
Doctor Philosophy
Combinatorial transformations in 3-manifold topology
Principal Advisor
Other advisors: Associate Professor Barbara Maenhaut
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2016
Doctor Philosophy
Graph Algorithms and Network Motifs: Tools for Text Exploration
Principal Advisor
Other advisors: Professor Lorraine Mazerolle
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2014
Doctor Philosophy
Computational Graph Theory
Associate Advisor
Other advisors: Professor Darryn Bryant, Associate Professor Barbara Maenhaut
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Media
Enquiries
Contact Professor Benjamin Burton directly for media enquiries about:
- Algorithms
- Competitions - computer programming
- Competitions - mathematics
- Computation
- Computer programming competitions
- Cryptography
- Geometry
- International Mathematical Olympiad
- International Olympiad in Informatics
- Knot theory
- Mathematics competitions
- Olympics
- Science olympiads
- Topology
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