Professor ANTHONY (TONY) GUTTMANN

Position:
Professor
Room:
MASCOS, 139 Barry Street
Ext. Number:
41618
Interests:
  • Mathematical Physics
  • Enumerative combinatorics
  • Statistical Mechanics
  • Exact solutions of lattice models
  • Critical Phenomena (phase transitions)
Recent Publications:
  • Permutations sortable by deques and by two stacks in parallel (2017) more
  • Permutations sortable by two stacks in series (2017) more
  • Three-dimensional terminally attached self-avoiding walks and bridges (2016) more
  • Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? (2016) more
  • On the growth constant for square-lattice self-avoiding walks (2016) more

Selected Publications


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.
Current Postgraduate Supervision:
Past Postgraduate Supervision:
Nicholas BEATON "Combinatorics of Lattice Paths and Polygons"
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 "Symmetric functions and Macdonald polynomials"
Andrew RECHNITZER "Some problems in the counting of lattice animals, polyominoes, polygons and walks"
Jason M 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 MSc Students:
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
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 Science
2004 B H Neumann Australian Mathematics Trust
2002 Fellow of The Australian Academy of Science Australian Academy of Science
2000 Centenary Medal Australian Government
1998 Hannan Medal Australian Academy of Science
Responsibilities:
Academic Board member
AMSI Advisory Board
MASCOS Director
University of Melbourne School Maths Competition
University of Melbourne School Maths Competition
Committees:
Strategic Planning Committee