Research Interests

  • Enumerative combinatorics
  • Statistical Mechanics
  • Stochastic Processes
  • Critical Phenomena (phase transitions)
  • Markov processes
  • Combinatorics
  • Orthogonal functions and polynomials
  • Polymers
  • Modelling of biological systems


You can find all publications on their Find an Expert page

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Current Postgraduate Supervision

Name Thesis title

Past Postgraduate Supervision

Name Thesis title
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"
John FOXCROFT "Combinatorial Enumeration and the Bethe Ansatz"
Will JAMES "The enumeration of heaps and almost-convex polygons"
William MOORE "Biorthogonal polynomial sequences and the asymmetric simple exclusion process"
Paul NIDRAS "Critical behaviour of geometric cluster models"
Judy-anne OSBORN "Combinatorics of pavings and paths"
Ruijie XU "Interacting Quarter-Plane Lattice Walk Problems: Solutions and Proofs"

Past Honours & MSc Students

Name Project title
William MOORE
Andrew OPPENHEIM "Directed walkers on the square and triangular planar lattices"
William TOM
Tianyu (Tim) YANG

Recent Grant History

Year(s) Source Type Title
2014 - 2016 ARC Discovery Multivariate polynomials:combinatorics and applications