Senior Lecturer
Ext. Number:
  • Enumerative combinatorics
  • Statistical Mechanics
  • Stochastic Processes
  • Critical Phenomena (phase transitions)
  • Markov processes
  • Combinatorics
  • Orthogonal functions and polynomials
  • Polymers
  • Modelling of biological systems
Recent Publications:
  • Bi-orthogonal polynomial sequences and the asymmetric simple exclusion process (2015) more
  • Constant term solution for an arbitrary number of osculating lattice paths (2013) more
  • Simple Asymmetric Exclusion Model and Lattice Paths: Bijections and Involutions (2012) more
  • An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths (2011) more
  • Exact solution of a three-dimensional lattice polymer confined in a slab with sticky walls (2010) more

Selected Publications

Extra Information:
My general interest lies in the mathematics of statistical mechanics and combinatorics.
Current Postgraduate Supervision:
John FOXCROFT "Combinatorial Enumeration and the Bethe Auzats."
William MOORE "Bi-orthogonal Polynomials and the Combinatorics of Asymmetric Simple Exclusion Process"
Past Postgraduate Supervision:
Nicholas BEATON "Combinatorics of Lattice Paths and Polygons"
Paul FIJN "The combinatorics and graph theory of stochastic interface and lattice path problems"
Caley FINN "The Asymmetric Exclusion Process with Open Boundaries"
Will JAMES "The enumeration of heaps and almost-convex polygons"
Paul NIDRAS "Critical behaviour of geometric cluster models"
Judy-anne OSBORN "Combinatorics of pavings and paths"
Current MSc Students:
Past MSc Students:
Andrew OPPENHEIM "Directed walkers on the square and triangular planar lattices"
Tianyu (Tim) YANG
William MOORE
William TOM
Recent Grant History:
Year(s) Source Type Title
2014 - 2016 ARC Discovery Multivariate polynomials:combinatorics and applications (080080)
2003 - 2010 ARC Centre Of Excellence ARC Centre of Excellence for Mathematics and Statistics of Complex Systems
2002 - 2006 ARC Discovery Advanced Computational and Analytic Studies in Lattice Statistical Mechanics and Applications
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