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Professor Anthony (Tony) GUTTMANN
Position: Professor
Email: T.Guttmann@ms.unimelb.edu.au
Room: MASCOS, 139 Barry Street
Ext. Number: 41618
Webpage: www.ms.unimelb.edu.au/~tonyg
Research Group:- Complex Systems
- Discrete Mathematics & Algebraic Combinatorics
- Mathematical Physics & Statistical Mechanics
Interests: - Critical Phenomena (phase transitions)
- Enumerative combinatorics
- Exact solutions of lattice models
- Mathematical physics
- Statistical Mechanics
Recent Publications:
Selected Publications | Publications RSS Feed
  • Prudent walks and polygons(2009) more
  • Modeling force-induced bio-polymer unfolding(2009) more
  • Experimental mathematics on the magnetic susceptibility of the square lattice Ising model(2008) more
  • Area distribution and scaling function for punctured polygons(2008) more
  • Prudent Self-Avoiding Walks(2008) more
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.

Current Postgraduate Supervision:

Nicholas BEATON "Exact Solutions of Polygons and Random Walks."

Past Postgraduate Supervision:

Debra N. BENNETT-WOOD "Numerical studies of Self-avoiding walks"
Yao-ban CHAN "Selected problems in lattice statistical mechanics"
Will JAMES "The enumeration of heaps and almost-convex polygons"
Robin LANGER "Macdonald polynomials"
Andrew RECHNITZER "Some problems in the counting of lattice animals, polyominoes, polygons and walks"
Henry (Ling Heng) WONG "Topics on Lattice Models in Statistical Mechanics"

Recent Grant History:

Year(s) Source Type Title
2003 - 2010 ARC Centre Of Excellence ARC Centre of Excellence for Mathematics and Statistics of Complex Systems
2008 - 2009 ARC Linkage International Hecke algebras and hidden symmetries in quantum spin chains
2006 - 2008 ARC Discovery Theory and applications of hypergeometric series
2006 - 2008 ARC Linkage International Exact dynamics of the asymmetric exclusion process with boundaries
2004 - 2008 ARC Network Complex Open Systems Network (COSNet)
2002 - 2006 ARC Discovery Advanced Computational and Analytic Studies in Lattice Statistical Mechanics and Applications
2003 - 2005 ARC Linkage International Conformal invariance and stationary states

Awards:

Year Name Organisation
2006 Szekeres medal Australian Mathematical Society
2005 Lyle medal Australian Academy of Sciences
2004 B H Neumann Australian Mathematics Trust
2002 Fellow of The Australian Academy of Sciences Australian Academy of Sciences
2000 Centenary Medal Australian Government
1998 Hannan Medal Australian Academy of Sciences

Responsibilities:

Academic Board member
BHP School Maths Competition
MASCOS Director

Committees:

Management Committee
Strategic Planning Committee
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