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Professor Benjamin Burton
Professor

Benjamin Burton

Email: 
Phone: 
+61 7 336 51164

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

76 works between 2004 and 2024

61 - 76 of 76 works

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.

Get involved! The IOI workshop 2010, its goals and results

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

The complexity of the normal surface solution space

2010

Journal Article

Optimizing the double description method for normal surface enumeration

Burton, Benjamin A. (2010). Optimizing the double description method for normal surface enumeration. Mathematics of Computation, 79 (269), 453-484. doi: 10.1090/S0025-5718-09-02282-0

Optimizing the double description method for normal surface enumeration

2010

Conference Publication

Encouraging algorithmic thinking without a computer

Burton, Benjamin A. (2010). Encouraging algorithmic thinking without a computer. Lithuania: Institute of Mathematics and Informatics.

Encouraging algorithmic thinking without a computer

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

Converting between quadrilateral and standard solution sets in normal surface theory

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.

Breaking the routine: Events to complement informatics olympiad training

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.

Creating informatics olympiad tasks: Exploring the black art

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).

Informatics Olympiads: Challenges in programming and algorithm design

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

Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find

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

Structures of small closed non-orientable 3-manifold triangulations

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

Observations from the 8-tetrahedron nonorientable census

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.

Informatics olympiads: Approaching mathematics through code

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

Secure group communication with distributed generation of private keys for ad-hoc networks

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.

Efficient enumeration of 3-manifold triangulations

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.

Introducing Regina, the 3-manifold topology software

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

Face pairing graphs and 3-manifold enumeration

Funding

Past funding

  • 2015 - 2023
    Tractable topological computing: Escaping the hardness trap
    ARC Discovery Projects
    Open grant
  • 2014 - 2017
    Building triangulations for fast topological computing
    Department of Innovation, Industry, Science and Research - Australia-India Strategic Research Fund
    Open grant
  • 2014 - 2017
    Unlocking the potential for linear and discrete optimisation in knot theory and computational topology
    ARC Discovery Projects
    Open grant
  • 2013
    Australia Japan Emerging Research Leaders Exchange Program (ERLEP) 2012
    Department of Innovation, Industry, Science and Research
    Open grant
  • 2012 - 2013
    Algorithmic methods in combinatorial topology
    Go8 Australia - Germany Joint Research Co-operation Scheme
    Open grant
  • 2011 - 2012
    Complexity in topology: is unknot recognition as difficult as it seems?
    UQ Early Career Researcher
    Open grant
  • 2011 - 2013
    Generic complexity in computational topology: Breaking through the bottlenecks
    ARC Discovery Projects
    Open grant
  • 2011
    New-generation parallel-computing cluster for the mathematical and physical sciences
    UQ Major Equipment and Infrastructure
    Open grant
  • 2011
    ResTeach 2011 0.1 FTE School of mathematics and Physics
    UQ ResTeach
    Open grant
  • 2011
    UQ Travel Awards Category 1 - Mr Mathias Hiron
    UQ Travel Grants Scheme
    Open grant
  • 2010 - 2011
    Fast algorithms for string processing in cryptography and bioinformatics
    UQ New Staff Research Start-Up Fund
    Open grant
  • 2010 - 2015
    Algorithms and computation in four-dimensional topology
    ARC Discovery Projects
    Open grant

Supervision

Availability

Professor Benjamin Burton is:
Available for supervision

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Supervision history

Current supervision

  • Doctor Philosophy

    Computational 4-manifold topology

    Principal Advisor

    Other advisors: Dr Ramiro Lafuente

  • Doctor Philosophy

    Computational complexity of topological problems

    Principal Advisor

    Other advisors: Associate Professor Barbara Maenhaut

  • Master Philosophy

    Practical computation of topological invariants

    Principal Advisor

  • Doctor Philosophy

    Applying Operations Research techniques to Pure Mathematics problems

    Associate Advisor

    Other advisors: Dr Michael Forbes

Completed supervision

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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