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
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 |