
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
2010
Conference Publication
Get involved! The IOI workshop 2010, its goals and results
Pohl, Wolfgang, Burton, Benjamin A., Dagiene, Valentina, Fakcharoenphol, Jittat, Forišek, Michal, Hiron, Mathias, Opmanis, Martiņš, Skupas, Bronius and Van Der Vegt, Willem (2010). Get involved! The IOI workshop 2010, its goals and results. Vilnius University.
2010
Journal Article
Quadrilateral-octagon coordinates for almost normal surfaces
Burton, Benjamin A. (2010). Quadrilateral-octagon coordinates for almost normal surfaces. Experimental Mathematics, 19 (3), 285-315. doi: 10.1080/10586458.2010.10390625
2010
Journal Article
Get involved! The IOI workshop 2010, its goals and results
Pohl, Wolfgang, Burton, Benjamin A., Dagienė, Valentina, Fakcharoenphol, Jittat, Forišek, Michal, Hiron, Mathias, Opmanis, Mārtiņš, Skūpas, Bronius and van der Vegt, Willem (2010). Get involved! The IOI workshop 2010, its goals and results. Olympiads in Informatics, 4, 158-169.
2010
Conference Publication
The complexity of the normal surface solution space
Burton, Benjamin A. (2010). The complexity of the normal surface solution space. 26th ACM Symposium on Computational Geometry [SCG], Snowbird, Utah, U.S.A., 13-16 June 2010. New York , U.S.A.: ACM (Association for Computing Machinery) Press. doi: 10.1145/1810959.1810995
2009
Journal Article
Converting between quadrilateral and standard solution sets in normal surface theory
Burton, Benjamin A. (2009). Converting between quadrilateral and standard solution sets in normal surface theory. Algebraic and Geometric Topology, 9 (4), 2121-2174. doi: 10.2140/agt.2009.9.2121
2008
Conference Publication
Creating informatics olympiad tasks: Exploring the black art
Burton, Benjamin A. and Hiron, Mathias (2008). Creating informatics olympiad tasks: Exploring the black art. International Conference Joint with the 20th International Olympiad in Informatics, IOI 2008, Cairo, Egypt, 16 - 23 August 2008. Vilnius University.
2008
Conference Publication
Informatics Olympiads: Challenges in programming and algorithm design
Burton, Benjamin A. (2008). Informatics Olympiads: Challenges in programming and algorithm design. Thirty-First Australasian Computer Science Conference (ACSC 2008), Wollongong, NSW, Australia, 22-25 Jan 2008. Sydney, Australia: Australian Computer Society (ACS).
2008
Conference Publication
Breaking the routine: Events to complement informatics olympiad training
Burton, Benjamin A. (2008). Breaking the routine: Events to complement informatics olympiad training. International Conference Joint with the 20th International Olympiad in Informatics, IOI 2008, Cairo, Egypt, 16 - 23 August 2008. Vilnius University.
2008
Journal Article
Breaking the routine: Events to complement informatics olympiad training
Burton, Benjamin A. (2008). Breaking the routine: Events to complement informatics olympiad training. Olympiads in Informatics, 2, 5-15.
2008
Journal Article
Creating informatics olympiad tasks: Exploring the black art
Burton, Benjamin A. and Hiron, Mathias (2008). Creating informatics olympiad tasks: Exploring the black art. Olympiads in Informatics, 2, 16-36.
2007
Journal Article
Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find
Burton, Benjamin A. (2007). Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find. Discrete and Computational Geometry, 38 (3), 527-571. doi: 10.1007/s00454-007-1307-x
2007
Journal Article
Informatics olympiads: Approaching mathematics through code
Burton, Benjamin A. (2007). Informatics olympiads: Approaching mathematics through code. Mathematics Competitions, 20 (2), 29-51.
2007
Journal Article
Structures of small closed non-orientable 3-manifold triangulations
Burton, Benjamin A. (2007). Structures of small closed non-orientable 3-manifold triangulations. Journal of Knot Theory and Its Ramifications, 16 (5), 545-574. doi: 10.1142/S0218216507005439
2007
Journal Article
Observations from the 8-tetrahedron nonorientable census
Burton, Benjamin A. (2007). Observations from the 8-tetrahedron nonorientable census. Experimental Mathematics, 16 (2), 129-144. doi: 10.1080/10586458.2007.10128994
2005
Conference Publication
Secure group communication with distributed generation of private keys for ad-hoc networks
Sundaram, Shrikant, Bertok, Peter and Burton, Benjamin (2005). Secure group communication with distributed generation of private keys for ad-hoc networks. IFIP TC11 20th IFIP International Information Security Conference, Chiba, Japan, 3 May- 1 Jun 2005. New York, USA: Springer. doi: 10.1007/0-387-25660-1_31
2004
Journal Article
Efficient enumeration of 3-manifold triangulations
Burton, Benjamin A. (2004). Efficient enumeration of 3-manifold triangulations. The Australian Mathematical Society Gazette, 31 (2), 111-117.
2004
Journal Article
Introducing Regina, the 3-manifold topology software
Burton, Benjamin A. (2004). Introducing Regina, the 3-manifold topology software. Experimental Mathematics, 13 (3), 267-272.
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
Before you email them, read our advice on how to contact a supervisor.
Supervision history
Current supervision
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Doctor Philosophy
Computational complexity of topological problems
Principal Advisor
Other advisors: Associate Professor Barbara Maenhaut
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Master Philosophy
Practical computation of topological invariants
Principal Advisor
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Doctor Philosophy
Efficient algorithms in three-dimensional topology
Principal Advisor
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Doctor Philosophy
A computational approach to 4-manifold topology
Principal Advisor
Other advisors: Associate Professor Ramiro Lafuente
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Doctor Philosophy
Computational 4-manifold topology
Principal Advisor
Other advisors: Associate Professor Ramiro Lafuente
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Doctor Philosophy
A computational approach to 4-manifold topology
Principal Advisor
Other advisors: Associate Professor Ramiro Lafuente
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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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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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