Research Interests
 Mathematical Physics
 Enumerative combinatorics
 Statistical Mechanics
 Exact solutions of lattice models
 Critical Phenomena (phase transitions)
Research Groups
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
Name 
Thesis title 
Andrew ELVEY PRICE 

Past Postgraduate Supervision
Name 
Thesis title 
Nicholas BEATON 
"Combinatorics of Lattice Paths and Polygons" 
Debra BENNETTWOOD 
"Numerical studies of Selfavoiding walks" 
Yaoban CHAN 
"Selected problems in lattice statistical mechanics" 
Will JAMES 
"The enumeration of heaps and almostconvex polygons" 
Robin LANGER 
"Symmetric functions and Macdonald polynomials" 
Andrew RECHNITZER 
"Some problems in the counting of lattice animals, polyominoes, polygons and walks" 
Jason WHYTE 
"Global a priori identifiability of biomolecular interaction models in flowcell optical biosensor experiments" 
Henry (Ling Heng) WONG 
"Topics on Lattice Models in Statistical Mechanics" 
Past MSc Students
Name 
Project title 
Mark WASSELL 

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 
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) 
2003  2010 
ARC 
Centre Of Excellence 
ARC Centre of Excellence for Mathematics and Statistics of Complex Systems 
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
Committees
 Strategic Planning Committee