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Mathematics and Statistics

List of Research Staff

Head of Department and Associate Professor
    Barry Douglas Hughes, BSc Qld PhD ANU
Professors of Mathematics
    Timothy Carlisle Brown, BSc Mon PhD Camb MISI
    Derek Yau Cheong Chan, BSc NSW PhD ANU (Personal Chair)
    Anthony John Guttmann, PhD NSW MSc (Personal Chair)
    Charles Frederick Miller, BA Lehigh MS NY PhD
    Walter David Neumann, MA Adel PhD Bonn (Personal Chair)
    Joachim Hyam Rubinstein, BSc Mon PhD Calif
    Colin John Thompson, BSc PhD NSW (FAA)
Associate Professors (Readers)
    Harry Cohn, PhD Bucharest FIMS
    John Richard James Groves, BA Oxf PhD ANU
    Fima Klebaner, MSc PhD
    Kerry Anne Landman, BSc PhD
    Paul Anthony Pearce, BSc PhD
    Desmond Robbie, BSc Mon PhD PBK PKP Florida BSc BEd
    Moshe Sniedovich, BSc Haifa PhD Arizona
    Raymond Keith Watson, BA MSc PhD
    Nicholas Charles Wormald, BSc ANU PhD N'cle
Senior Lecturers
    Ian Roderick Aitchison, PhD Calif DipEd MSC MSc
    Kostya Borovkov, MSc Novosibirsk DSc Stekia Maths Institute
    Richard Brak, PhD Kings Coll
    Angelina Helen June Byrne, DipEd Mon MSc PhD
    Steven Lyle Carnie, BSc Mon PhD ANU DipComp Curtin
    James Joseph Cross, MEngS Johns H PhD Rice BA BSc DipEd
    Omar Ezzeldin Foda, BSc Cairo PhD Purdue
    Ananda-Swarup Gadde, BSc Hyderabad MSc Madras PhD Bom
    Ian Robert Gordon, MSc LaT PhD
    Jaromir Joseph Koliha, PromPed Pilsen GradMath Charles PhD
    Daniel Ralph, PhD Wis BSc
    Kenneth Sharpe, MSc PhD
Lecturers
    Francis Raymond Barrington, BSc MA PhD DipEd
    Sergei Berezner, MSc PhD Moscow State
    Natashia Lesley Boland, BSc PhD WAust
    John Francis Clark, BAppSc VIC BA BSc PhD
    Craig David Hodgson, PhD Prin MSc
    Robert Maillardet, PhD Llb Mon
    Meei Ng, MSc PhD Warw
    John E Sader, BEng PhD NSW
    Krzysztof Wysocki, PhD Rutgers
Tutors
    Karen Anne Mary Baker, BSc DipEd MED
    David Eric Coulson, BSc DipEd Tas PhD Mon
    Barry Harridge, BSc(Hons) Melb
    Russell Jenkins, BSc Mon
    Christine Sue Mangelsdorf, MSc PhD Melb
    Philip Swedosh, BEd PhD Rusden
    Antoinette Tordesillas, PhD W'gong
    Penelope Gaye Wightwick, BSc LaT DipMktg CIT MSc Melb
    Rosemary Susan Wilson, BSc Mon DipEd
Honorary and Emeritus Professor
    Eric Russell Love, BA Camb Melb PhD ScD Camb FIMA
    Professor Terrence Speed, PhD DipEd Mon
    Evan James Williams, BCom Tas DSc FIMS MISI
Senior Associates
    Nai Ng Chan, BSc Beijing PhD Liv FSS MISI
    Bruce Craven, BADSc
    Professor Meigu Guan, PhD Shandong Teachers University
    Bertram Mond, PhD Cincinnati
    Jonathan Pila, PhD Stanf
Associates
    David Bardos, PhD
    Marcus N Brazil, PhD LaT
    Yu Qing Chen, PhD Ohio
    Michael A Hasofer, PhD Tas
    John Knopfmacher, PhD Man
    Betty Eudora Laby, MSc
    Viatcheslav Obraztsov, PhD Moscow State
    Hanna Robalewska, PhD Melb
    John A G Roberts, BSc ANU
    Ross Turner, MSc Melb
    Samuel R Vaccaro, PhD Adel
    Ushuakov Vitaly, PhD
    Beata Wysocki, PhD Emory
Research Fellows
    Vladimir Gershkovic, MSc PhD Len
    Oliver Goodman, PhD Warw
    Iwan Jensen, MSc PhD Aarhus
    Paul Timothy Norbury, PhD Stanford
    William Orrick, PhD Stony Brook
    Shingyu Shi, PhD
    Ian Wanless, PhD ANU
    Trevor Welsh, PhD S'ton
    Jia Weng, BSc Beijing PhD Flinders
    Xiao Yi, PhD Mon
Senior Australian Research Council Fellow
    Peter Forrester PhD
Australian Research Council Fellows
    Aleksander Owczarek, PhD ANU
Director of Statistical Consulting Centre and Senior Lecturer
    Ian Robert Gordon, MSc LaT PhD
Statistical Consultants
    Florence Choo, MSc Mon
    Michael Philips, MSc PhD Melb
    Vicky Ryan, MSc Sheffield
    Catherine Smith, BSc(Hons) MPH USYD
Research Assistant
    Lynda Ross, BA LaT

Theses Passed for Higher Degrees

Doctor of Philosophy

  • Bennett-Wood D - Parallel Algorithms for the enumeration of self-avoiding Paths.

  • Brockwell A - Stochastic nonlinear adaptive control problems.

  • Carroll S - Velocity estimation methods applied to the north west shelf of Australia.

  • Churilov L - Global optimization through Composite Linearization.

  • Kricker A - Finite type invariants in Low Dimensions.

  • Pihan D - Geometric heat flows with free boundary.

  • Unterberger P - Mean curvature evolution of graphs in Riemannian manifolds.

  • Wilson C - Functions of generalised variation.

  • Yang S - Phase transitions of lattice fermion systems.

    Theses in Progress

    Master

    • Assiyatun H - Graph Theory and Probablistic Method.

    • Graham A - Active set methods for discrete-time optimal control problems.

    • Howell L - Networks and routing strategies.

    • Krooglik A - The stress distribution in granular materials.

    • MacLennan B - The statistical description of failure and iceberg loss and disintegration in the Southern Ocean.

    • Mak V - Vehicle routing problems.

    • Marshall D - Random Matrices and Jack Polynomials.

    • Tillman S - On character varieties.

    • Walford P - Minimal Networks.

      Doctor of Philosophy

      • Burton B - Classifying 3 manifolds.

      • Chamberlain J - Solid-Liquid Separation of Suspensions.

      • Cole G - Classification of dynamic programming models.

      • Davey B - Interfacing Integer Programming and Constraint Logic Programming.

      • Di Pasquale A - Links and Complements of Complex Algebraic Curves.

      • Dowty J - Geometric methods in the Topology of 3-manifolds.

      • Duckworth W - Algorithmic graph theory.

      • Dumitrescu I - A unified algorithmic framework for general mixed integer optimisation.

      • Ebery J - Efficient algorithms for the uncapcitated multiple allocation p-hub median problem.

      • Elder M - Automaticity and Almost Convexity of some groups.

      • Fielding M - Optimisation by Simulated Annealing.

      • Foozwell B - Polyhedral Geometry of 3- Manifolds.

      • Hepworth G - Estimation of proportions by group testing.

      • Mashford J - Invariant measures and Mobius structures.

      • Neame P - Non-Smooth Dual Methods in Integer Programming.

      • Poliak B - Flow in porous media.

      • Rechnitzer A - Statistical mechanics and combinatorics of lattice models of polymers.

      • Sheehan S - Statistical Models for Meta- analysis.

      • Stankovich J - Electrical double-layer interactions between spherical colloidal particles.

      • Stavrou N - Applications of parabolic partial differential equations to Physics & Geometry.

      • Taylor S - Applications of Integer Programming Techniques to a Telecommunications Network Problem.

      • Teague S - Polynomial identities of the Virasoro Algebra.

      • Tran T - Differential equations in Banach Spaces.

      • Ure D - Finitely Presented Abelan-by-Nilpotent Lie Algebras.

      • Uyanto S - Regression with Symmetric Alpha-Stable Distributions.

      • Virag E - Modelling Australian interest rates.

      • Voege M - Self-avoiding walks, polygons, combinatorics and the Ising model.

      • Vojisavljevic V - Climate Variability Space-time Model.

      • Wang Q - Branching Processes in a Random Environment.

      • Weinberg G - Distribution approximations for point processes via the Stein-Chen method.

      • White R - Isoperimetric inequalities in one relator groups.

      • Whyte D - Numerical Modelling of Droplet Formation in Photographic Dispersions.

      • Wightwick P - The Topology of Affine Algebraic Plane Curves.

        Research in Progress

        Algebraic Geometry

        • Complete intersection Singularities - W Neumann

        • Studies in branching processes - K Borovkov

        • Jacobian Conjecture in dimension 2 - W Neumann & P Norbury

        • Polynomial maps with affine fibers - W Neumann & P Norbury

        • Topological unfolding of polynomial maps - W Neumann & P Norbury

        Applied Statistics

        • Describing performance of students in a schoool in the VCE - T Brown

        • Generating random correlated survival rates - M Ng & C Todd

        • Linking VCE and International Baccalaureate Preformance - T Brown

        • Measures of crypt proliferation in rectal biopsies - K Sharpe

        • Modelling discrete failure time - M Ng & R Watson

        • Non-linear method for joint-regression models - M Ng & E Williams

        • Non-linear regression analysis of the AMMI model - M Ng & E Williams

        • Tests of the joint-regression modes against the additive model - M Ng, B Williams & J Wood

        • The curvature of the joint-regression model - M Ng

        • The effect of colour defective vision on the ability to identify coloured displays - K Sharpe, BO Cole & JO Maddocks

        • Transferring tertiary entrance scores interstate - T Brown

        Approximation Theory / Artificial Intelligence

        • Mathematics of Artificial Neural Networks - D Ralph, ME M Palaniswami, CE Panchapakesan & CE Manzie

        Biological Mathematical Modelling

        • Tumour dynamics and necrosis - surface tension and stability - K Landman

        Combinatorial Optimisation

        • A column generation approach to shipment scheduling - N Boland

        • Cable layout problems in telecommunications - N Boland & S Taylor

        • Estimating Shortest networks in Space - J Weng, H Rubinstein & N Wormald

        • Exact and heuristic methods for hub location problems - N Boland & J Ebery

        • Geometric separator theorems - N Wormald

        • Nonsmooth dual methods in integer linear programming - N Boland, P Neame & D Ralph

        • Shortest networks in orinetation metrics - J Weng

        • The travelling salesman problem with replenishment arcs, heuristics, polyhedral study and constrained shortest path methods - N Boland, I Dumitrescu & V Mak

        • Nonsmooth dual methods in integer linear programming - N Boland, P Neame & D Ralph

        • Advances in integer programming and integration with constraint logic programming techniques - N Boland & B Davey

        Combinatorics

        • Combinatorial proof of the condensation formula for determinants and product forms - R Brak

        • Combinatorics of non-intersecting lattice paths - R Brak & JU Essam

        • Involution for osculating lattice paths - R Brak

        Combinatorics and q-series

        • Q-series transforms - O Foda

        Complex Analysis

        • The Sendov Conjecture - A Byrne & J Rubinstein

        Discrete Mathematics

        • A 15 colouring of 3-space excluding distance 1 - D Coulson

        Functional Analysis

        • Products of elements of C*-algebra commuting with their Moore-penrose inverse - J Koliha

        • The Drazin inverse for closed linear operators - J Koliha & Tran

        Gauge Theory

        • Boundary values of hyperbolic monopoles - P Norbury

        • Harmonic maps and monopoles - P Norbury

        • Harmonic maps and monopoles - P Norbury

        • Periodic Instantons - P Norbury

        Geometric Group Theory

        • Dehn's algorithm for non-hyperbolic groups - O Goodman & MC Shapiro, CCNY)

        Geometry

        • Riemannian geometry - V Gershkovich & J Rubinstein

        • Tube domains for hyperbolic 3-manifolds - O Goodman, J Dowty & C Hodgson

        Geometry and Number Theory

        • Computation of arithmetic 3-manifold invariants - O Goodman, C Hodgson & W Neumann

        Geometry and Topology

        • Essential surfaces in knot complements - I Aitchison, J Rubinstein & ST Matsumoto

        • Polyhedral metrics on 3- and 4-manifolds - I Aitchison & J Rubinstein

        • Structure of Reeb flows on the Tight Three- Sphere - K Wysocki

        • Efficient triangulations of 3-manifolds - J Rubinstein & W Jaco (Oklahoma State University)

        Graph Theory and Combinatorics

        • Asymptotic enumeration of set partitions - N Wormald

        • Enumeration of graphs - I Wanless & N Wormald

        • Factorisation of graphs - I Wanless

        • Graph algorithms - W Duckworth & N Wormald

        • Graph Theory and Combinatorics - H Robalewska & N Wormald

        • Probabilistic graph theory - H Assiyatun & N Wormald

        • Random graphs and processes - N Wormald

        • Substructures of Latin squares - I Wanless

        • The difficulty of constructing a leaf labelled tree including or avoiding given subtrees - M Ng, M Steel (University of Canterbury, NZ) & N Wormald

        Group Theory

        • Intersection of Magnus subgroups of one-relator groups - C Miller

        History of Mathematics

        • Biography of Gustav Dirichlet - J Cross

        • History of the Mathematics Department - J Clark & J Cross

        Industrial Mathematical Modelling

        • Analytic modelling of drying of porous media - K Landman

        • Modelling moisture uptake in a cereal grain - K Landman

        • The measurement of filtration diffusivity - K Landman

        Infinite Dimensional Algebras

        • Elliptic affine algebras - O Foda

        Interfacial Continuum Mechanics

        • A mathematical model for surface corrugation on unsealed roads - A Tordesillas & J Hill

        • Adhesion and detachment - B Hughes

        • Capillarity in colloidal interactions - D Chan

        • Characterisation of AFM cantilevers - J Sader, P Mulvaney (Department of Chemistry, University of Melbourne), J Chon (Department of Chemistry, University of Melbourne)

        • Double layer interactions between spherical colloidal particles with nonuniform surfaces - S Carnie & J Stankovich

        • Dynamic mobility of a spheroid with a thick double layer - S Carnie & A Shugai

        • Effective properties of granular materials and colloid aggregates - A Tourdesillas & B Hughes

        • Effects of Stern Layer conduction on the high frequency electrokinetic transport properties of colloidal particles - C Mangelsdorf & L White

        • Electrical Double Layer Interactions - J Sader & D Chan

        • Electrophoretic mobility of a sphere with a thick double layer in a pore and near a wall - S Carnie & A Shugai

        • Electrostatics interactions in confined geometries - D Chan & J Sader

        • Finite element analysis of soil-tyre interaction based on the contact mechanics theory of rolling and/or sliding bodies - A Tordesillas & J Shi

        • Fluid dynamics of olfactory organs - A Tourdesillas & Loudon

        • Incipient Slumping - J Chamberlain, K Landman & J Sader

        • Measurement of surface forces in deformable systems - D Chan

        • Modeling of Granular Materials - J Sader, A Krooglik & L White

        • Modelling electrochromatography - S Carnie & J Baygents

        • Nonlinear electrokinetic effects - S Carnie & J Baygents

        • Phase behaviour in colloidal systems - D Chan

        • Random walk models - B Hughes

        • Solid Liquid Separation of Suspensions - J Sader, J Chamberlain, L White & K Landman

        • The dynamic mobility of non-dilute colloidal suspensions - S Carnie, A Shugai & J Ennis

        Linear Algebra

        • The product formula for EP matrices - J Koliha

        Linear Algebra and Differential Equations

        • Singular and singularly perturbed differential equations - J Koliha & I Straskraba (Prague)

        Linear Algebra and Matrix Analysis

        • Perturbation of the Drazin inverse for matrices - J Koliha, N Castro-Gonzalez (Madrid), I Straskraba (Prague)

        Mathematical Physics

        • Random matrices and statistical quantum chaos - P Forrester

        • Selberg-type integrals, Jack polynomials and associated hypergeometric functions - T Baker & P Forrester

        Mathematical Programming

        • Predictor-Corrector Methods for Piecewise Smooth Equations - D Ralph, MC Ferris (University of Wisconsin), T Munson (University of Wisconsin)

        Multilevel Optimization

        • Analysis of and algorithms for implicit programs - H Jiang, D Ralph & H Xu

        Nonsmooth Optimization

        • Jets: Second-order calculus for nonsmooth functions - D Ralph & AR Eberhard

        Numerical Functional Analysis

        • Perturbation of the Drazin inverse for closed linear operators - J Koliha & N Castro-Gonzalez (Madrid)

        Operations Research

        • Dynamic Programming - M Sniedovich & G Cole

        • Composite Concave Programming - M Sniedovich & A Byrne

        • Hyper sensitivity Analysis - M Sniedovich & A Byrne

        • Interactive Programming - M Sniedovich

        • WWW - Operations Research Interface - M Sniedovich

        Optimal Control

        • Fast quadratic programming methods for model predictive control - A Graham, D Ralph, Y Xiao, SJ Wright (Argonne), E Polak (Berkeley)

        Optimisation

        • Shortest network design - M Brazil, J Rubinstein, D Thomas (Engineering), J Weng & N Wormald

        • Steiner trees - M Brazil, J Rubinstein, D Thomas (Engineering), J Weng & N Wormald

        Optimization and Geometry

        • Nonsmooth optimization via singularity theory - B Craven, V Gershkovich & D Ralph

        Probability Theory

        • Studies of large deviations probabilities - K Borovkov & A Borovkov

        Probability Theory, Modelling and Analysis

        • Management of Telecommunication Networks - S Berezner

        Pure Mathematics

        • Combinatorics, Dophantine approximation and geometry - I Aitchison

        Solvable Lattice Models and Field Theories

        • Classification of boundary conformal field theories - R Behrend, P Pearce, V Petkova & J-B Zuber

        • Classification of excited states, TBA equations and massless renormaliztion flow - P Pearce & L Chim

        • Conformal partition functions of RSOS lattice models - P Pearce & S Warnaar

        • Integrable boundaries, conformal boundaries and A-D-E fusion rules - R Behrend, P Pearce, V Petkova & J- B Zuber

        • Perturbations of minimal models from the trinomial analogue of Bailey's lemma - P Pearce, A Berkovich & B McCoy

        • Random matrix ensembles with an effective extensive external charge - P Pearce, T Baker & P Forrester

        • Scaling limit of RSOS models and Thermodynamic Bethe Ansatz - P Pearce & B Nienhuis

        • TBA equations for integrable field theories with a boundary - L Chim & P Pearce

        Statistical Mechanics

        • Combinatoric aspects of exactly solvable lattice models - O Foda

        • Compact directed percolation - R Brak & JU Essam

        • Dilute AL models and Virasoro Characters - W Orrick

        • Exact solution of N directed non-intersecting walks interacting with one or two boundaries - R Brak, J Essam (UK) & A Owczarek

        • Functional approximants - A Guttmann & W Orrick

        • Inversion relations for polygon problems - A Guttmann, A Rechnitzer & W Orrick

        • Ising and Potts model - A Guttmann, I Jensen & W Orrick

        • Kinetic growth walks - A Owczarek & T Prellberg (Manchester, U.K.)

        • Log potential systems in one and two dimensions - P Forrester

        • Monte Carlo simulations for extended Domb-Joyce walks - R Brak & A Owczarek

        • Onsager's Algebra and the Chiral Potts Model - W Orrick

        • Osculating Lattice Paths and One Night Stand Walkers - A Guttmann, R Brak & M Voege

        • Partial difference equations for lattice walks - R Brak, J Essam (UK) & A Owczarek

        • Partially directed animals - A Guttmann, W Orrick & M Bousquet-Melou

        • Punctured discs - A Guttmann & I Jensen

        • Self-avoiding walks and polygons - A Guttmann, I Jensen & W Orrick

        • Six vertex model and lattice paths - A Owczarek, R Brak & J Essam (UK)

        • The Chiral Potts model - A Guttmann, I Enting, J Perk & H Au-yang

        • The Ising model with next nearest neighbours - A Guttmann & M Voege

        • Three-dimensional anisotropic walks - A Owczarek & A Rechnitzer

        • Vicious walkers - A Guttmann & M Voege

        Statistical Mechanics and Combinatorics

        • Bethe Ansatz for 19-vertex lattice paths - R Brak & A Owczarek

        • From the Beth Ansatz to the Gessel-Viennot theorem - R Brak, J Essam (UK)& A Owczarek

        Stochastic Modelling

        • Branching Processes in Varying Environment - H Cohn, J Biggins (Sheffield U), O Nerman (Goteborg U), M Ferrante (Padova U)

        • Qiao Wang

        • Branching random walks - H Cohn & JS Biggins

        • Simulated Annealing - H Cohn, C-R Ruey (Academia Sinica, Taiwan) & M Fielding

        Stochastic Modelling and Analysis

        • Negative Binomial Random Variable and Process Approximation - T Brown & M Phillips

        • Random perturbations of classical population models - F Klebaner

        • Random step function model for Australian Interest Rates - F Klebaner

        • Random step function models for interest rates - K Borovkov & F Klebaner

        • Regression and Time Series for Stable Processes - T Brown & S Uyanto

        • Removing logarithms in point process error bounds - T Brown & G Weinberg

        • Studies of Markov processes of self-exciting type - K Borovkov

        Tertiary Mathematics

        • Combinatorial optimisation - F Barrington & K Baker

        • Indicators for tertiary mathematics - F Barrington & K Baker

        Tertiary Mathematics Education

        • Reducing the Incidence of Mathematical Misconceptions in 'Middle Band' Students - P Swedosh

        Topological Algebra

        • Compact semirings with simple multiplication - D Robbie

        • Compatible continuous selections in topological semigroups - D Robbie & T Nogura (Ehime University-Japan)

        • Non Hausdorff topological semigroups - structure theorems and applications to computer science - D Robbie & R Kopperman (CUNY)

        • Properties not preserved in products of topological spaces but which are preserved in products of topological groups - D Robbie, W Comfort (USA), U Wesleyan (USA), M Tkachenko (UAM-Mexico)

        • Suitable sets in compact semigroups - D Robbie

        Topology

        • Harmonic maps and monopoles - I Aitchison

        Topology and Geometry

        • Arithmetic invariants of hyperbolic 3- manifolds - C Hodgson, W Neumann, O Goodman & D Coulson

        • Geometrization of 3-dimensional orbifolds - C Hodgson, D Cooper (California U), S Kerckhoff (Stanford University)

        • Harmonic deformations of hyperbolic structures - C Hodgson & S Kerckhoff (Stanford University)

        Published Work

        Books

          Edited Book

          • Borovkov A 1998. Probability Theory. Borovkov, K (English Edition) (ed.), New York: Gordon and Breach Science Publishers. ISBN 90-5699-046-2

            Authored - other (including translations)

            • Klebaner F 1998. Introduction to Stochastic Calculus with Applications. 321pp. Singapore: Imperial College Press/World Scientific. ISBN 1- 86094- 129-X

              Chapter in Books

              • Foda O, Leclerc B, Okado O, Thibon J-Y & Welsh TA 1998. Combinatorics of solvable lattice models, and modular representations of Hecke algebras, in Carey AL and Murray MK (eds) Geometric Analysis and Lie Theory in Mathematical Physics, Loxton JH (ed) Australian Mathematical Society Lecture Series, 243-290, Cambridge, UK: Cambridge University Press. ISBN 0- 521-62490-8

              • Forrester PJ 1998. Random matrices, log-gases and the Calogero-Sutherland model, Quantam many-body problems and representation theory, 97-181, Tokyo, Japan: Mathematical Society of Japan. ISBN 4-931469-01-9

              • Luo Z, Pang J & Ralph D 1998. Piecewise sequential quadratic programming for mathematical programs with nonlinear complementarity constraints, in Migdalas A, Pardalos P and Varbrand P (eds) Multilevel Optimization: Algorithms and Applications, 209-229, The Netherlands: Kluwer Academic Publishers. ISBN 0- 7923-4693-9

                Journal Articles

                  Refereed Journal

                  • Aitchison I, Matsumoto S & Rubinstein J 1998. Surfaces in the figure-8 knot complement. Journal of Knot Theory and Its ramifications. 7 (8): 1005-1025.

                  • Aldred R & Wormald N 1998. More on the linear k-arboricity of regular graphs. Australasian Journal of Combinatorics. 18 97-104.

                  • Baker TH & Forrester PJ 1998. Generalisations of the q-Morris constant term identity. Journal of Combinatorial Theory, Series A. 81 (1): 69-87.

                  • Baker TH & Forrester PJ 1998. Nonsymmetric Jack polynomials and integral kernels. Duke Mathematical Journal. 95 (1): 1-50.

                  • Baker TH, Forrester PJ & Pearce PA 1998. Random matrix ensembles with an effective extensive external charge. Journal of Physics A: Mathematical and General. 31 6087-6101.

                  • Barbour A, Brown T & Xia A 1998. Point processes in time and Stein's method. Stochastics and Stochastic Reports. 65  127-151.

                  • Barnhart C, Boland NL, Clarke LW, Johnson EL, Nemhauser GL & Shenoi RG 1998. Flight string models for aircraft fleeting and routing. Transportation Science. 32 (3): 208-220.

                  • Batchelor M, Bennett-Wood D & Owczarek A 1998. Two-dimensional polymer networks at a mixed-boundary: Surface and wedge exponents. European Physical Journal B. 5 139-142.

                  • Behrend R, Pearce P & Zuber J-B 1998. Integrable boundaries, conformal boundary conditions and A-D-E fusion rules. Journal of Physics A: Mathematics and General. 31 L763-L770.

                  • Behrend R, Pearce P, Petkova V & Zuber J- B 1998. On the classification of bulk and boundary conformal field theories. Physics Letters B. 444 163-166.

                  • Beliakov G & Chan D 1998. Analysis of inhomogeneous optical systems by the use of ray tracing. II. Three-dimensional systems with symmetry. Applied Optics. 37 5106-5111.

                  • Bennett-Wood D, Cardy J, Enting I, Guttmann A & Owczarek A 1998. On the non-universality of a critical exponent for self-avoiding walks. Nuclear Physics B. 528 533-552.

                  • Bennett-Wood D, Enting I, Gaunt D, Guttmann A, Leask J, Owczarek A & Whittington S 1998. Exact enumeration study of free energies of interacting polygons and walks in two dimensions. Journal of Physics A: Mathematical and General. 31 4725-4741.

                  • Berkovich A, McCoy B & Pearce P 1998. The perturbations [[phi]]2,1 and [[phi]]1,5 of the minimal models M(p,p') and the trinomial analogue of Bailey's lemma. Nuclear Physics B. 519 597-625.

                  • Brak R, Essam JW & Owczarek A 1998. New results for directed vesicles and chains near an attractive wall. Journal of Statistical Physics. 93 (1): 155-192.

                  • Brak R, Nidras P & Owczarek A 1998. Cluster structure of collapsing polymers. Journal of Statistical Physics. 91 75-93.

                  • Brak R, Owczarek A & Soteros C 1998. On anisotropic spiral self-avoiding walks. Journal of Physics A: Mathematical and General. 31 4851-4869.

                  • Brown T, Hamza K & Xia A 1998. On the variance to mean ratio for random variables from Markov chains and point processes. Journal of Applied Probability. 35 303-312.

                  • Byrne A, Sniedovich M & Churilov L 1998. Handling soft constraints via composit concave programming. Journal of the Operational Research Society. 49 (8): 870-877.

                  • Churilov L, Ralph D & Sniedovich M 1998. A note on composite concave quadratic programming. Operations Research Letters. 23 163-169.

                  • Comfort W, Morris S, Robbie D, Svetlichny S & Tkachenko M 1998. Suitable sets in topological groups. Topology and its Applications. 86 25-46.

                  • Craven B & Luu D 1998. Lagrangian conditions for a nonsmooth vector-valued minimax. Journal of the Australian Mathematical Society (Series A). 65  163- 175.

                  • Craven B 1998. Optimal control and invexity. Computers and Mathematics with Applications. 35 (5): 17-25.

                  • Craven B, de Haas K & Wettenhall J 1998. Computing optimal control. Dynamics of Continuous, Discrete and Impulsive Systems. 4 601-615.

                  • Dasmahapatra S & Foda O 1998. Strings, paths and standard tableaux. International Journal of Modern Physics A. 13 (3): 501-522.

                  • Dragomir S & Koliha J 1998. The mapping nux,y in normed linear spaces with applications to inequalities in analysis. Journal of Inequalities and Applications. 2 37-55.

                  • Feldman H, Guttmann A, Jensen I, Shrock R & Tsai S-H 1998. Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros. Journal of Physics A: Mathematical and General. 31 2287-2310.

                  • Foda O, Leclerc B, Okado M, Thibon J-Y & Welsh TA 1998. RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity. Letters in Mathematical Physics. 43 31-42.

                  • Foda O, Lee KSM & Welsh TA 1998. A Burge tree of Virasoro-type polynomial identities. International Journal of Modern Physics A. 13 (29): 4967-5012.

                  • Foda O, Misra K & Okado M 1998. Demazure modules and vertex models: The sl(2) case. Journal of Mathematical Physics. 39 (3): 1601-1622.

                  • Forrester PJ & Nagao T 1998. Correlations for the circular Dyson Brownian motion model with Poisson initial conditions. Nuclear Physics B. 532 733-752.

                  • Forrester PJ 1998. Exact results for two-dimensional Coulomb systems. Physics Reports. 301 235-270.

                  • Gordon I, Boffetta P & Demers P 1998. A case study comparing meta-analysis and a pooled analysis of studies of sinonasal cancer among wood workers. Epidemiology. 9 (5): 518-524.

                  • Green M, Landman K & Boger D 1998. A pressure filtration technique for complete characterisation of consolidating suspensions. Industrial & Engineering Chemistry Research. 37 4152-4156.

                  • Guttmann A, Owczarek A & Viennot X 1998. Vicious walkers and Young tableaux I: without walls. Journal of Physics A: Mathematical and General. 31 8123-8135.

                  • Hofer H, Wysocki K & Zehnder E 1998. The dynamics on three-dimensional strictly convex energy surfaces. Annals of Mathematics. 148 197-289.

                  • Iwamoto S & Sniedovich M 1998. Sequential decision making in fuzzy environment. Journal of Mathematical Analysis and Applications. 222 208-224.

                  • Jensen I & Guttmann A 1998. Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices. Journal of Physics A: Mathematical and General. 31 8137-8145.

                  • Kerr G, Dunt D & Gordon I 1998. Effect of casemix funding on outcomes in patients admitted to hospital with suspected unstable angina. Medical Journal of Australia. 168 57-60.

                  • Klebaner F, Lazar J & Zeitouni O 1998. On the quasi-stationary distribution for some randomly perturbed transformations of an interval. The Annals of Applied Probability. 8 (1):  300-315.

                  • Knopfmacher J 1998. Asymptotic isomer enumeration in chemistry. Journal of Mathematical Chemistry. 24 61-69.

                  • Koliha J & Poon P 1998. Spectral sets II. Rendiconti del Circolo Matematico di Palermo Serie II. 47 293-310.

                  • Koliha J & Rakocevic V 1998. Continuity of the Drazin inverse II. Studia Mathematica. 131 (2): 167-177.

                  • Koliha J, Mbekhta M, Muller V & Poon P 1998. Corrigendum and addendum: "On the axiomatic theory of spectrum II". Studia Mathematica. 130 (2): 193-198.

                  • Landman K & Pettet G 1998. Modelling the action of proteinase and inhibitor in tissue invasion. Mathematical Biosciences. 154 (1): 23-37.

                  • Lindquester T & Wormald N 1998. Factorisation of regular graphs into forests of short paths. Discrete Mathematics. 186 217-226.

                  • Loudon C & Tordesillas A 1998. The use of the dimensionless Womersley number to characterize the unsteady nature of flow. Journal of Theoretical Biology. 191  63-78.

                  • Love E 1998. On an inequality conjectured by T.J. Lyons. Journal of Inequalities and Applications. 2 229-233.

                  • Mangelsdorf C & White L 1998. The dynamic double layer. Part 1 Theory of a mobile Stern layer. Faraday Transactions. 94 (16): 2441-2452.

                  • Mangelsdorf C & White L 1998. The dynamic double layer. Part 2 Effects of Stern-layer conduction on the high-frequency electrokinetic transport properties. Faraday Transactions. 94 17):  2583-2593.

                  • Miller CF & Shapiro M 1998. Solvable Baumslag-Solitar groups are not almost convex. Geometriae Dedicata. 72  123- 127.

                  • Moffat A, Petersson O & Wormald N 1998. A tree-based mergesort. Acta Informatica. 35 775-793.

                  • Nagao T & Forrester P 1998. The smallest eigenvalue distribution at the spectrum edge of random matrices. Nuclear Physics B. 509 561-598.

                  • Nagao T & Forrester PJ 1998. Multilevel dynamical correlation functions for Dyson's Brownian motion model of random matrices. Physics Letters A. 247  42-46.

                  • Nagao T & Forrester PJ 1998. Transitive ensembles of random matrices related to orthogonal polynomials. Nuclear Physics B. 530 742-762.

                  • Neumann W 1998. Hilbert's 3rd Problem and invariants of 3-manifolds. Geometry and Topology Monographs. 1 383-411.

                  • Neumann WD & Norbury P 1998. Nontrivial rational polynomials in two variables have reducible fibres. Bulletin of the Australian Mathematical Society. 58 501-503.

                  • Owczarek A & Prellberg T 1998. Existence of four-dimensional polymer collapse I: Kinetic growth trails. Physica A. 260 20-30.

                  • Pearce P & Nienhuis B 1998. Scaling limit of RSOS lattice models and TBA equations. Nuclear Physics B. 519  579- 596.

                  • Roth CM, Sader JE & Lenhoff A 1998. Electrostatic contribution to the energy and entropy of protein adsorption. Journal of Colloid and Interface Science. 203 218-221.

                  • Rubinstein H & Scharlemann M 1998. Comparing Heegaard splittings - The bounded case. Transactions of the American Mathematical Society. 350 (2):  689-715.

                  • Rubinstein JH & Wang S 1998. pi1-injective surfaces in graph manifolds. Commentarii Mathematici Helvetici. 73  499-515.

                  • Sader JE & Lenhoff AM 1998. Electrical double-layer interaction between heterogeneously charged collodal particles: a superposition formulation. Journal of Colloid and Interface Science. 201 233-243.

                  • Sader JE 1998. Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope. Journal of Applied Physics. 84 (1): 64-76.

                  • Tordesillas A & Shi J 1998. Indentation of a double shearing dilatant granular material by a smooth rigid wedge. Quarterly Journal of Mechanics and Applied Mathematics. 51 (4): 633-646.

                  • Velegol D, Solomentsev Y, Anderson JL & Carnie SL 1998. Electrophoretic rotation of doublets composed of two spheres almost in contact. Colloids and Surfaces. Series A, 140 59-74.

                  • Yang Y & Thompson C 1998. Conductivity of a lattice gas model. Monte-Carlo simulations. Physica A. 248  185-194.

                    Non-Refereed Journal

                    • Swedosh P 1998. The importance of ensuring that students are sensibly advised when considering which mathematics subjects to study in year 11. Vinculum. 35 (1): 9-14.

                    • Swedosh P 1998. We are travelling up that famous malodourous creek. We desperately need a paddle! Vinculum. 35 (4): 10.

                      Letter or Note in Journal

                      • Buxton B & Gordon I 1998. Invited editorial comment on: Multiple arterial grafts: radial versus right internal thoracic arteries, by MA Borger et. al. Circulation: Journal of the American Heart Association. 98 II-13-II14.

                      • Hocking B, Gordon I, Hatfield G & Grain H 1998. Cancer incidence near radio and television transmitters in Great Britain. I Sutton Coldfield Transmitter. II All high power transmitters. American Journal of Epidemiology. 147 90.

                        Conference Publications

                          Refereed Conference Proceedings

                          • Brazil M, Rubinstein J, Thomas D, Weng J & Wormald N 1998. Shortest networks on spheres. Network Design: Connectivity and Facilities Location, Pardalos PM and Du D (eds), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Network Design: Connectivity and Facilities Location, 40: 453-461. USA: American Mathematical Society.

                          • Brazil M, Thomas D & Weng J 1998. Gradient-constrained minimal Steiner trees. Network Design: Connectivity and Facilities Location, Pardalos PM and Du D (eds), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Network Design: Connectivity and Facilities Location, 40: 23-38. USA: American Mathematical Society.

                          • Love E & Hunter M 1998. Expansions in series of Legendre functions. Second international workshop "Transform Methods & Special Functions, II", Rusev P, Dimovski I and Kiryakova V (eds), Transform Methods & Special Functions, Varna '96 Second International Workshop Proceedings, 288-299. Sofia, Bulgaria: Bulgarian Academy of Sciences.

                          • Swedosh P & Clark J 1998. Mathematical misconceptions -- we have an effective method for reducing their incidence but will the improvement persist? The Mathematics Education Research Group of Australasia Annual Conference, Kanes C, Goos M and Warren E (eds), Teaching Mathematics in New Times, 2: 588-595. Brisbane: Griffith Uni Print.

                          • Weng J 1998. A new model of generalized Steiner trees and 3-coordinate sytems. Network Design: Connectivity and Facilities Location, Pardalos PM and Du D (eds), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Network Design: Connectivity and Facilities Location, 40: 415-424. USA: American Mathematical Society.

                            Non-Refereed Conference Proceedings

                            • Cross J 1998. Scheduling. Fourth Conference on: Mathematics and Computers in Sport, de Mestre N and Kumar K (eds), Fourth Conference on: Mathematics and Computers in Sport, 125-130. Gold Coast, Bond University: Bond University.

                            • Swedosh P 1998. Mathematics is experiencing severely harsh intolerable threats which need to be confronted. Mathematical Association of Victoria Annual Conference, Gough J and Mousley J (eds), Mathematics: Exploring All Angles, 1: 466-476. Melbourne: Publishing Solutions Pty Ltd.

                            • Swedosh P & Clark J 1998. We can effectively reduce mathematical misconceptions but will it last? Mathematical Association of Victoria Annual Conference, Gough J and Mousley J (eds), Mathematics: Exploring All Angles, 1: 477-486. Melbourne: Publishing Solutions Pty Ltd.

                              Reports/Working Paper

                                Contract/Technical Report or Working/ Occasional Paper

                                • Choo F 1998. Residue in dysphagia, Report No. 537, for Ms Tanya Warms, Austin and Repatriation Medical Centre. 8pp.

                                • Choo F & Ross L 1998. A pilot study to establish the level of uptake of information technologies for teaching and learning (Analysis 1), Report No. 525, for Dr Kar-Tin Lee, Department of Vocational Education & Training. 121pp.

                                • Gordan I 1998. Confidence intervals for various sample sizes, when estimating a population percentage, Report No. 534, for Professor Alun Jackson, School of Social Work. 4pp.

                                • Gordon I 1998. Adult dental services: access and use, comparing 1994 and 1996, Report No. 548, for Ms Adele Campain, School of Dental Science. 36pp.

                                • Phillips M 1998. Smoking and orthodontic patients, Report No. 529, for Dr Tony Collett, School of Dental Science. 9pp.

                                • Phillips M & Ross L 1998. Overseas students enrolments (various fields of study), Report No. 504, 527, 531, 532, 547, 551-554, 556-561 (15 separate reports), for University of Melbourne, various departments. 619pp.

                                • Phillips M & Ross L 1998. Quality of student administrative services at University of Melbourne (various faculties), Report No. 506-522 (17 separate reports), for Ms Suzanne Daroesman. 198pp.

                                • Smith C 1998. Assessment of the clinical education needs of nurses, Report No. 555, for Ms Margaret Havard, Nursing Education & Research, RMH. 80pp.

                                • Smith C 1998. MMP as a diagnostic test for uterine cancer, Report No. 541, for Dr Alex Lopata, Royal Women's Hospital. 10pp.

                                • Tordesillas A 1998. A large deformation finite element analysis of soil-tyre interaction based on the contact mechanics theory of rolling and/or sliding bodies; Period 2-plane strain contact problems and the anti symmetric cone indentation model, Report No. 36355/GS, for US Army Research Office.

                                • Tordesillas A 1998. A large deformation finite element analysis of soil-tyre interaction based on the contact mechanics theory of rolling and/or sliding bodies; period 2-validation of the component soil model, Report No. 36355/GS, for US Army Research Office.

                                  Substantial Grants Received

                                  Australian Research Council

                                  • Topology, Geometry and Number Theory of 3- manifolds - C Hodgson & W Neumann

                                  • Combinatoric aspects of exactly solvable models - O Foda

                                  • Fast quadriatic programming methods for model predictive control - D Ralph

                                  • Optimal transport networks - H Rubinstein

                                  • Topology of complex affine algebras - W Neumann

                                  • Special Investigator Award - Extended series expansions - A Guttmann

                                  Australian Research Council Fellowship

                                  • Random Matrices, Multivariable Polynomials and Quantum Physics - P Forrester

                                  Australian Research Council /Telstra Collaborative Research Grant

                                  • Mathematical Modelling of Interactions Between Electromagnetic Radiation and Biological Media - C Thompson

                                  Multimedia StartUp Grant University of Melbourne

                                  • Applied Mathematics/ Differential Equation applications via IT - F Barrington

                                  • Tutorial Feedback Assessment - D Chan

                                  US Army Research Office Single Investigator Award

                                  • A large deformation, finite element analysis of soil-tyre interaction: based on contact mechanics theory of rolling and/or sliding bodies - A Tordesillas

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