Emeritus Professor Anthony (Tony) GUTTMANN

Emeritus Professor (Associate) / Professor

School of Mathematics and Statistics

  • Room: G55
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Critical Phenomena (phase transitions)
  • Exact solutions of lattice models
  • Statistical Mechanics
  • Enumerative combinatorics
  • Mathematical Physics

Research Groups

Publications

You can find all publications on their Find an Expert page

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Extra Information

My research interests are in equilibrium statistical mechanics in general, and more particularly in discrete models of phase transitions. As these are often equivalent to a combinatorial problem, I am equally interested in the relevant combinatorics, and the connection between the two. Additionally, I am regularly looking for new ways to count the underlying graphs efficiently. This leads me into a study of algorithmic complexity.

Past Postgraduate Supervision

Name Thesis title
Nicholas BEATON "Combinatorics of Lattice Paths and Polygons"
Debra BENNETT-WOOD "Numerical studies of Self-avoiding walks"
Yao-ban CHAN "Selected problems in lattice statistical mechanics"
Andrew CONWAY ""On the behaviour of self-avoiding walks and related problems""
Andrew ELVEY PRICE ""Selected problems in enumerative combinatorics: Permutation classes, random walks and planar maps.""
Will JAMES "The enumeration of heaps and almost-convex polygons"
Andrew RECHNITZER "Some problems in the counting of lattice animals, polyominoes, polygons and walks"
Andrew ROGERS ""Parallel algorithms for lattice enumeration problems""
Ewa SWIERCZAK "Numerical problems in statistical mechanics"
Marcus VOEGE ""Topics in Statistical Mechanics: The n-friendly walker model and benzenoid systems""
Jason WHYTE "Global a priori identifiability of biomolecular interaction models in flow-cell optical biosensor experiments"
Henry (Ling Heng) WONG "Topics on Lattice Models in Statistical Mechanics"

Past Honours & MSc Students

Name Project title
Robert BURSILL ""Loop-erased self-avoiding walks""
Mark WASSELL ""Estimating a critical exponent for the self-avoiding walk""

Recent Grant History

Year(s) Source Type Title
2014 - 2016 ARC Discovery Advanced algorithms for statistical mechanical models (080078)
2012 - 2014 ARC Discovery Critical behaviour of lattice models of spin systems
2010 - 2012 ARC Discovery Green functions, correlation functions and differential equations

Awards

Year Name Organisation
2020 Member of the Order of Australia (AM) Commonwealth of Australia
2016 Certificate as Most Published Author in Journal of Physics A Institute of Physics
2012 Australian Mathematical Sciences Institute (AMSI) Medal Australian Mathematical Sciences Institute
2009 Fellow of the Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics
2007 Fellow of the Australian Academy of Technological Sciences and Engineering Australian Academy of Technological Sciences and Engineering
2006 Szekeres Medal Australian Mathematical Society
2005 Lyle Medal Australian Academy of Science
2004 B H Neumann Award Australian Mathematics Trust
2003 Centenary Medal Commonwealth of Australia
2002 Fellow of The Australian Academy of Science Australian Academy of Science
2000 Fellow of the Australian Mathematical Society Australian Mathematical Society
1998 Hannan Medal Australian Academy of Science
1978 Fulbright Senior Fellowship Fulbright Australia