William Pettersson

William Pettersson

Headshot of William Pettersson
William Pettersson
PhD student
Department of Mathematics,
The University of Queensland,
QLD, 4072, Australia

Email: william@ewpettersson.se
XMPP: william@ewpettersson.se
Languages: English, Swedish

About Me

I am currently a Mathematics PhD student in the School of Mathematics and Physics at the University of Queensland. As a student I have played integral roles in the organisation of various social functions as a part of the Mathematics Students Society.

I was a member of the Host Scientific Committee for the 2013 International Olympiad in Informatics and am currently involved with the Queensland Informatics & Programming Club to train high school students in informatics.
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Research Interests

Graph Decompositions

A decomposition of K7
  • Cycle decompositions of circulants
  • Cycle factorisations of circulants
  • Cycle decompositions of multigraphs
  • Computational approaches to finding decompositions and factorisations

Combinatorial topology

The Regina logo
Regina - Software for 3-manifold topology and normal surface theory
I am one of the developers of Regina, a suite of mathematical software for 3-manifold topologists. It focuses on the study of 3-manifold triangulations and normal surfaces. I also maintain the Gentoo packages for Regina. For official downloads for other distributions, see http://regina.sourceforge.net.
Gentoo packages for Regina are available in a layman overlay. Once layman has been installed, you can install the overlay by running # layman -a regina-gentoo. You will then be able to install Regina with # emerge regina. Note that version 9999 of Regina in the overlay will always update to the latest GIT revision, which may or may not work at any given time.
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  1. D. Bryant, D. Horsley, and W. Pettersson. Decompositions of complete graphs into cycles of arbitrary lengths, Proceedings of the London Mathematical Society 2013; doi: 10.1112/plms/pdt051 http://arxiv.org/abs/1204.3709
  1. B. Burton and W. Pettersson. Fixed parameter tractable algorithms in combinatorial topology, International Computing and Combinatorics Conference, submitted February 2014. http://arxiv.org/abs/1402.3876
  2. D. Bryant, P. Danziger and W. Pettersson. Bipartite 2-factorisations of complete multipartite graphs, Journal of Graph Theory, submitted January 2013.
In preparation
  1. B. Burton and W. Pettersson. A new algorithm for enumerating triangulations of manifolds.
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At The University of Queensland
As a teaching assistant:
  • 2014 : MATH4303 Advanced Combinatorics
  • 2010-2014 : MATH3302 Coding and Cryptography
  • 2008-2009,2012-2014 : MATH1061 Discrete Mathematics
  • 2011-2013 : MATH3500 Problems and Applications in Modern Mathematics
  • 2011-2013 : MATH3301 Graph Theory and Design Theory
  • 2011 : MATH4302 Combinatorial Designs
  • 2010 : MATH3306 Set Theory and Logic
Chalk drawing of cat on blackboard
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