Professor ANTHONY (TONY) GUTTMANN
Position:
Professor
Email:
Room:
MASCOS, 139 Barry Street
Ext. Number:
41618
Webpage:
Research Groups:
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
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 |