Subject area for

Faculty Member
 A/PROF Alan Spargo Faculty Member
 DR Jules Lamers
 DR Norman Frankel Faculty Member
 DR Thomas Quella
 PROF Aleks Owczarek Faculty Member
 PROF Jan de Gier Faculty Member
 PROF Paul Pearce Faculty Member

Authored Research Books

Book Chapters Other

Conference Papers Refereed

Contract

Edited Books

Grant
 A synthesis of random matrix theory for applications in mathematics, physics and engineering
 ARC CENTRE OF EXCELLENCE FOR MATHEMATICAL AND STATISTICAL FRONTIERS OF BIG DATA, BIG MODELS, NEW INSIGHTS (ARC FUNDING)
 Advanced Kernel Method for Enumerating Interacting Directed Lattice Paths
 Advanced algorithms for statistical mechanical models.
 Advanced numerical and analytical techniques for exact studies in combinatorics and statistical mechanics.
 COMPUTATIONAL STUDIES OF SOFT MATTER
 Characteristic polynomials in random matrix theory
 Critical behaviour of lattice models of spin systems
 Design, analysis and application of Monte Carlo algorithms in statistical mechanics
 Design, analysis and application of Monte Carlo methods in statistical mechanics
 Efficient algorithms for polymer simulation
 Environmental stability of nanoscale materials for catalysis and sensing
 Fabrication strategies for diamondbased quantum devices: concepts to applications
 Highresolution electron diffraction imaging for the nanosciences
 Interplay of Topology and Geometry in Polymeric Critical Phenomena
 MODELLING LARGE URBAN TRANSPORT NETWORKS USING STOCHASTIC CELLULAR AUTOMATA
 Matrix product multivariable polynomials from quantum algebras
 Maximizing solid state NMR with maximum entropy
 Phase transitions in stochastic systems
 Quantum integrability and symmetric functions
 Single atom defined nanostructures: atomelectronics beyond the miniaturization limit
 Statistical mechanics and topology of polymer systems
 THE TOPOLOGY OF MINIMUM ENERGY CONFIGURATIONS
 The Mechanics of Nanoscale Devices
 The Tutte polynomial of a graph: Correlations, approximations and applications

Journal Articles Refereed
 A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems
 A new transfermatrix algorithm for exact enumerations: selfavoiding polygons on the square lattice
 A numerical adaptation of selfavoiding walk identities from the honeycomb to other 2D lattices
 A selfinteracting partially directed walk subject to a force
 A semiflexible attracting segment model of twodimensional polymer collapse
 A semiflexible attractingsegment model of threedimensional polymer collapse
 A series test of the scaling limit of selfavoiding walks
 A simple model of a vesicle drop in a confined geometry
 A treelevel 3point function in the su(3)sector of planar N=4 SYM
 Accurate Estimate of the Critical Exponent nu for SelfAvoiding Walks via a Fast Implementation of the Pivot Algorithm
 An exact solution of three interacting friendly walks in the bulk
 An exact solution of two friendly interacting directed walks near a sticky wall
 An integral arising from the chiral sl(n) Potts model
 Analysis of mean cluster size in directed compact percolation near a damp wall
 Analysis of series expansions for nonalgebraic singularities
 Anomalous critical behavior in the polymer collapse transition of threedimensional lattice trails
 Autocorrelations in the totally asymmetric simple exclusion process and NagelSchreckenberg model
 Automata and the susceptibility of the square lattice Ising model modulo powers of primes
 Blackwelltype theorems for weighted renewal functions
 Calculation of the connective constant for selfavoiding walks via the pivot algorithm
 Confining multiple polymers between sticky walls: a directed walk model of two polymers
 Constant Term Solution for an Arbitrary Number of Osculating Lattice Paths
 Determinantal correlations for classical projection processes
 Difference system for Selberg correlation integrals
 Differential equations for deformed Laguerre polynomials
 Directed compact percolation near a damp wall with biased growth
 Directed compact percolation near a damp wall: mean length and mean number of wall contacts
 Discrete holomorphicity and integrability in loop models with open boundaries
 Effect of stiffness on the pulling of an adsorbing polymer from a wall: an exact solution of a partially directed walk model
 Efficient Implementation of the Pivot Algorithm for Selfavoiding Walks
 Endless selfavoiding walks
 Enumeration of areaweighted Dyck paths with restricted height
 Exact results for a directed polymer model related to quantum entanglement in far from equilibrium stationary states
 Exact solution for semiflexible partially directed walks at an adsorbing wall
 Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation
 Exact solution of the discrete (1+1)dimensional RSOS model in a slit with field and wall interactions
 Exact solution of the discrete (1+1)dimensional RSOS model with field and surface interactions
 Exact solution of two friendly walks above a sticky wall with single and double interactions
 Exact solutions of lattice polymer models
 Exact spin quantum Hall current between boundaries of a lattice strip
 Expanded Vandermonde Powers and Sum Rules for the TwoDimensional OneComponent Plasma
 Factorized solutions of TemperleyLieb qKZ equations on a segment
 Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their lambda Generalization
 Generalizing Ribbons and the Twist of the Lattice Ribbon
 Geometric Exponents of Dilute Loop Models
 Geometric exponents, SLE and logarithmic minimal models
 Grothendieck ring and Verlindelike formula for the Wextended logarithmic minimal model WLM(1, p)
 High order Fuchsian equations for the square lattice Ising model: (chi)overtilde((5))
 Highprecision estimate of the hydrodynamic radius for selfavoiding walks
 Identification of a polymer growth process with an equilibrium multicritical collapse phase transition: The meeting point of swollen, collapsed, and crystalline polymers
 Interlaced Particle Systems and Tilings of the Aztec Diamond
 Large Deviation Function for the Current in the Open Asymmetric Simple Exclusion Process
 Lattice Green functions and CalabiYau differential equations
 Lattice Green's functions in all dimensions
 Lattice polymers with two competing collapse interactions
 Loan and nonloan flows in the Australian interbank network
 Local Central Limit Theorem for Determinantal Point Processes
 MFPT calculation for random walks in inhomogeneous networks
 Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall
 Myopic random walkers and exclusion processes: Single and multispecies
 Numerical simulation of a lattice polymer model at its integrable point
 Offcritical logarithmic minimal models
 Offcritical parafermions and the winding angle distribution of the O(n) model
 On directed compact percolation near a damp wall
 On factorizing Fmatrices in Y(sl(n)) and Uq((sl(n))overcap) spin chains
 On the use of the Pareto ArcTan distribution for describing city size in Australia and New Zealand
 Onecomponent plasma on a spherical annulus and a random matrix ensemble
 POLYOMINOES WITH NEARLY CONVEX COLUMNS: AN UNDIRECTED MODEL
 Physical combinatorics and quasiparticles
 Pressure exerted by a vesicle on a surface
 Pulling a polymer with anisotropic stiffness near a sticky wall
 Pulling adsorbed selfavoiding walks from a surface
 Pulling selfinteracting polymers in two dimensions
 Raney Distributions and Random Matrix Theory
 Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N
 Scaling of the atmosphere of selfavoiding walks
 SelfAvoiding walks in a rectangle
 Selfattracting polymers in two dimensions with three lowtemperature phases
 Selfavoiding trails with nearestneighbour interactions on the square lattice
 Selfavoiding walks in a rectangle
 Selfavoiding walks in slits and slabs with interactive walls
 Semiflexible hydrogenbonded and nonhydrogen bonded lattice polymers
 Semiflexible interacting selfavoiding trails on the square lattice
 Series Analysis of a KosterlitzThouless Transition: The 6State Planar Potts Model
 Singular behavior at the edge of Laughlin states
 Solvable critical dense polymers on the cylinder
 Some New Selfavoiding Walk and Polygon Models
 Spanning tree generating functions and Mahler measures
 Square lattice Ising model (chi)overtilde((5)) ODE in exact arithmetic
 The Critical Fugacity for Surface Adsorption of SelfAvoiding Walks on the Honeycomb Lattice is
 The enumeration of prudent polygons by area and its unusual asymptotics
 The equation of state of hard hyperspheres in nine dimensions for low to moderate densities
 The exact finite size ground state of the O(n=1) loop model with open boundaries
 The exact solution of a threedimensional lattice polymer confined in a slab with sticky walls
 The limiting Kac random polynomial and truncated random orthogonal matrices
 The relaxation rate of the reversebiased asymmetric exclusion process
 The role of threebody interactions in twodimensional polymer collapse
 Traffic disruption and recovery in road networks
 Tridiagonal realization of the antisymmetric Gaussian betaensemble
 Two generalizations of columnconvex polygons
 Twodimensional selfavoiding walks and polymer adsorption: critical fugacity estimates
 Weighting of topologically different interactions in a model of twodimensional polymer collapse
 Winding angle distributions for twodimensional collapsing polymers
 Writheinduced knotting in a lattice polymer

Journal Articles Unrefereed

Major Reports And Working Papers

Other Refereed Contribution To Refereed Journals
 Combinatorics of KazhdanLusztig elements: Factorisation and fully packed loop models, in Combinatorial representation theory
 Comment on 'Adjacent spin operator dynamical structure factor of the S=1/2 Heisenberg chain'
 Nonintersecting Brownian walkers and YangMills theory on the sphere (vol 844, pg 500, 2011)

Research Book Chapters