Abstracts

INVITED SPEAKERS

Carl de Boor Issues in multivariate polynomial interpolation
Jonathan Borwein Some of my favourite convex functions
Vaughan Jones Random matrices and von Neumann algebras
Gregory F. Lawler Conformally invariant random fractals
C.R. Leedham-Green Computing in matrix groups over finite fields
John W. Morgan The Poincaré Conjecture and the Geometrization Conjecture for 3-manifolds
Karen Parshall 4000 years of algebra: a whirlwind historical tour from BM 13901 to modern algebra
Cheryl E Praeger Estimation in finite groups
James Sneyd Calcium, smooth muscle, and asthma
Angelika Steger Random planar graphs

CONTRIBUTED PAPERS

Rob Akscyn On the number of composites less than a given number
Igor Boglaev Monotone relaxation iterates and applications to singularly perturbed problems
James Borger Groups in absolute algebraic geometry
Richard Brent Testing irreducibility of sparse polynomials over GF(2)
John Butcher The stability of Padé and generalized Padé approximations
Grant Cairns On the homology of finite dimensional Lie algebras
Peter J. Cameron Algebraic properties of chromatic roots
Kenneth Chan Singularities of orders on surfaces
Yury Chebiryak Lean induced cycles
Chris Dowden Components in random planar graphs with n vertices and m edges
Shannon Ezzat Counting irreducible representations
Beáta Faller Combinatorial challenges in conservation biology
Mareike Fischer Curious properties of Maximum Parsimony in estimating evolutionary trees and ancestral sequence states
Luke Fullard The finite volume method and Riemann problem for a mathematical model of a hydrothermal eruption
Apakuki Gavoka Mathematical comparative analysis of syntax and semantic search engines for end user performance
Volker Gebhardt The cyclic sliding operation in Garside groups
Yufang Hao Method for calculating the spectra of self-adjoint extensions of simple symmetric operators
Robin Havea The Toeplitz-Hausdorff theorem in a constructive setting
Allison Heard Stability of variable stepsize BDF methods for initial value problems
Gholamreza Hojjati New efficient algorithm for numerical solution of stiff differential and integral equations
Mohamad Hadi Hooshmand Some algebraic properties of b-parts of real numbers
Peter van der Kamp Periodic initial value problems for (integrable) partial difference equations
Mihály Kovács Unbounded functional calculus for bounded groups with applications
Gerrard Liddell Scoring Bayes
Iris Loeb Glueing continuous functions constructively
Daniel Lond Külshammer's second problem
Yichen Ma Adjoint methods for shape optimization for the viscous incompressible flow
Arun Mani Rank dominations in matroids
Luis Monterrubio Frequency parameters of non-symmetric box-type structures using the Rayleigh-Ritz method and penalty functions
Zead Mustafa Reich theorem and mappings with fixed points theorem on G-metric spaces
Salsabil Nusair A review of the internet congestion control via rate control algorithms with examples and simulations
Hamed M. Obiedat Space of test functions for (w1, w2)-tempered ultradistributions via Fourier transform
Manas K Patra An algebraic approach to quantum and classical information theory
Petrus H Potgieter The notion of "recursive" subset in Euclidean space and related questions
Krishna Sami Raghuwaiya New algorithm for motion planning and posture control of 3-trailer systems.
B. L. Robertson CARTopt: a random search method for non-smooth optimization
Bibhya Sharma Formation control of a swarm of mobile manipulators
Philip Sharp Orbital forcing over the Cenozoic Era
Ronal Singh Global stability of a mathematical model of the internet
Ognjen Stancevic Conditionally invariant measures and sets with low escape rates.
Gunter Steinke 3-unisolvent sets, 4-dimensional Laguerre planes and generalized quadrangles
Steve Taylor The best approximation of a function by a sum of radial functions
Bevan Thompson Multiple solutions for systems of differential equations with nonlinear boundary conditions
Rajneel Totaram An interactive window for split/rejoin maneuvers of swarms
Christopher Tuffley Cell structures for finite subset spaces
Gurudeo Anand Tularam Developement of a 3D numerical model for salinity intrusion in Brisbane
Graeme Wake Industrial mathematics initiatives: an (inter)national need?
Graham Weir Some properties of conformal transformations of symmetrical spinors
Jonathan Wylie Singularities arising from the stretching of threads with viscous heating
Yevhen Zelenyuk Idempotents in Stone-Cech compactifications and homogeneous maximal spaces
Qiang Zhang Nonlinear theories for shock-induced fingering instabilities

Algorithmics

Mike Atkinson Computing permutations with stacks and deques
Michael J. Dinneen Pathwidth and caterpillar algorithms
Rod Downey Kernelization lower bounds
Graham Farr The Maximum Induced Planar Subgraph problem
Joachim Gudmundsson Detecting regular visit patterns
Gordon Royle What is the largest real flow root for a graph?
Charles Semple Algorithmic problems in conservation biology
Toby Walsh Symmetry in search

Applied Dynamical Systems in Engineering and the Physical Sciences

Bruce van Brunt Holomorphic Solutions for a Class of Functional Differential Equations
Christopher Eric Hann Mathematical modelling and parameter identification methods in systems
Carlo Laing A solvable model for chimera states in heterogeneous networks
Robert McKibbin Through Fourier-tinted spectacles: advection-dispersion equations transformed to a dynamical system
G.N. Mercer Determining a safe path through a dynamic threat environment in real time
Mark Nelson A fundamental analysis of a membrane bioreactor containing a sludge disintegration system
John J Shepherd Multi-scaling analysis of a predator-prey model
Harvinder Sidhu Classical and pulsating combustion waves in a chain-branching reaction model
Tanya Soboleva Modelling of coexistence of endophyte-free and endophyte-infected grasses in New Zealand grazing system.
Jito Vanualailai An asymptotically stable collision-avoidance system
Graeme Wake Burning issues: critical storage and assembly.
David JN Wall A multi-compartment, two population, age-distribution model of cancer cell growth; transfer from in vivo to in vitro

Approximation and Applications

Colin Fox A Bayesian take on RBFs
Markus Hegland On some aggregation/disaggregation based approximations
Bishnu Lamichhane A new finite element method for the biharmonic problem
Paul Leopardi Approximating functions in Clifford algebras
Stephen Marsland Geodesic interpolating splines
David McLaren Preserving Energy resp. dissipation in numerical partial differential equations, using the "Average Vector Field" method.
Garry Newsam Fast algorithms for integral transforms based on domain decomposition and composition equations
Shayne Waldron On the construction of equiangular tight frames

Biological Modelling

Richard Brown Hungry? Go ballistic! Or what should you do to find your dinner?
Te-yuan Chyou Passive dynamics of animal locomotion
Graham Donovan A multiscale, spatially-distributed model of airway hyper-responsiveness
Amina Eladdadi Mathematical modeling of the HER2-receptor overexpression in breast cancer
Scott Graybill The countercurrent mechanism
Emily Harvey Understanding complicated oscillations in intracellular calcium dynamics
Bogdan Kazmierczak Existence of solutions in a model of chondrogenesis
Nicole Kleinstreuer Modeling autoregulation in the rat kidney
Shawn Means Reducing the load of spatial scales in a calcium model
Mike Paulin Computational neural models embedded in virtual animals
Claire Postlethwaite Optimal movement in the prey capture behaviour of weakly electric fish
Kiri Pullar Development of a model-based tracking algorithm for reconstruction of 3D spider motion.
Joseph Stover Multitype contact processes: stochastic spatial competition models
Kumar Vetharaniam Modelling the interaction of prolactin and LIF signalling in the bovine mammary gland
Inga Wang Modelling the calcium dynamics in airway smooth muscle cells
Wenjun Zhang Dynamics in reaction-diffusion excitable systems

Ergodic Theory and Dynamical Systems

Arno Berger The dynamics of finite data: hyperbolicity and distortion
Chris Bose Second largest eigenvalues and almost invariant structures for hyperbolic systems
Keith Burns Ergodicity for partially hyperbolic diffeomorphisms
Anthony Dooley Critical dimension of non-singular actions
Gary Froyland Coherent sets in flows and Perron-Frobenius cocycles
Arek Goetz A cone exchange map
Valentyn Golodets The geometric dimension of an equivalence relation and finite extensions of finite groups
Mark Holland Extreme behaviour in chaotic dynamical systems with suspension flow applications.
Péter Koltai Fast approximation of long term dynamical behaviour for continuous-time systems
Ian Melbourne Large deviations and moderate deviations for slowly mixing dynamical systems
Matthew Nicol Extreme value theory for dynamical systems
Claire Postlethwaite Feedback control of unstable periodic orbits
Naratip Santitissadeekorn Motion Estimation of Image Sequence Data in the Framework of the Frobenius-Perron Operator
Martin Wechselberger Folded saddle-nodes: where canards meet hopf

Geometry and Analysis

Tony Guttmann Calabi-Yau equations and 4 dimensional lattice Green functions
Craig Hodgson Harmonic deformations of hyperbolic 3-manifolds
Eder Kikianty The p-HH-norm on the Cartesian product of n copies of a normed space
Rongmin Lu Regularization of some equivariant Euler classes
J.H. Rubinstein Minimal triangulations of 3-manifolds
Mathai Varghese Analytic torsion for twisted de Rham complexes
Raymond Vozzo String Structures and Characteristic Classes for Loop Group Bundles
Norman Wildberger A new approach to hyperbolic geometry

Group Actions and Representation Theory

Matthew Auger Generalised dihedral quotients of finitely-presented groups
Graham Clarke On Generalised Inflations of Algebras
Marston Conder Recent progress in the study of regular maps on surfaces
Andrew Francis Multiplicative structure in the centre of the Iwahori-Hecke algebra of type A.
Michael Giudici Fixed point free elements of prime order in primitive permutation groups
Anthony Henderson Enhancing the nilpotent cone
Kathy Horadam Equivalence classes of highly nonlinear functions between groups
Isabel Hubard Monodromy groups of polytopes and self-invariance
Ben Martin Representation growth and alternating quotients
Andrew Mathas Blocks of generalized q-Schur algebras of type A
Hassan Naraghi Some properties of the supersoluble formation and the supersoluble residual of a group
Amnon Neeman Dualizing complexes via flat modules
Eamonn O'Brien The Ore Conjecture
Brian Parshall Some results on the cohomology and representation theory of quantum groups
Arun Ram Beads on runners
Don Taylor Embeddings of finite unitary reflection groups
Ruibin Zhang Projective modules over quantum symmetric algebras

Harmonic Analysis and Related Topics

Sergey Ajiev Retractions and projections for Chebyshev subsets of function and sequence spaces
Oleg V. Besov Sobolev Spaces and Fractional Smoothness Spaces on Irregular Domains
Qui Bui Characterization of function spaces via non-smooth kernels
Michael Cowling Hardy's uncertainty principle
Anthony Dooley Contractions of Lie Groups and the Cowling-Haagerup Theorem
Xuan Thinh Duong Multilinear operators with non-smooth kernels and commutators of singular integrals
Tom ter Elst Invariant subspaces of submarkovian semigroups
Richard S. Laugesen Frequency-scale frames and the solution of the Mexican hat problem
Ji Li Duality of Hardy space on product spaces of homogeneous type
Christopher Meaney An inequality for bi-orthogonal pairs
Sinai Robins Using solid angles to get approximate measures of volume for polytopes
Adam Sikora Bochner-Riesz analysis on on asymptotically conic manifolds
F. Sukochev Symmetric norms and spaces of operators
Lesley A. Ward Harmonic measure distribution functions for sequences of planar domains
Neil Watson Comparison of solutions of the heat and Laplace equations

History of Mathematics

Dr Philip Catton L. E. J. Brouwer: solipsist - why?
Hannes Diener The platypus and the mathematician.
Ofer Gal Nature's drawing
John Hannah Rules of engagement: conventions for medieval recreational problems
Clemency Montelle A symbolic history of the derivative
Kim Plofker Euclid and Aristotle, in Persian and in Sanskrit
Bronwyn Rideout Pappus of Alexandria: analysis/synthesis outside of Book 7 in the Mathematical Collection

Lie Groups - Robotics, Vision and Control

Shreya Bhattarai Asymptotics of Null Lie Quadratics in Tension
Brian Corr Riemannian cubics and Lie quadratics: an introduction
Deborah Crook Determining polynomial invariants of SE(3)
Peter Donelan Serial manipulators, screw systems and singularities
Mark Hickman Exterior - A Maple 10/11/12 library for computations in exterior calculus
Manfred Husty Representation of mechanical constraints on the Euclidean motion group
Wayne Lawton Lie group approximation and quantum control
Gerrard Liddell Geometry of Riemannian cubics
Lyle Noakes Riemannian cubics and friends
Michael Pauley Quadratures for null Lie quadratics in sl(2) and so(3)
Tomasz Popiel The Riemannian Cox-de Boor algorithm
J.M. Selig Rational interpolation of rigid-body motions

Mathematics of Evolution and Ecology

Boris Baeumer Modeling the invasion of Hawthorn at Porters Pass, NZ
Gill Bejerano Empirical challenges in the evolution of the human genome
Peter D Drummond Poisson methods for modeling extinction and mutation
Barbara Holland Robust consensus methods for summarising phylogenetic trees
Katharina Huber Reconstructing the evolutionary past of polyploid species: new combinatorial results
Radu Mihaescu Fast phylogeny reconstruction through learning of ancestral sequences
Vincent Moulton Testing hypotheses of treelikeness in genomic datasets
Lior Pachter Finding the trees in Darwin's forest
Hugh Possingham Decision theory for saving species
Hamish G Spencer Understanding frequency-dependent selection using the pairwise-interaction model
Timothy G. Vaughan A new method for tackling the stochastic dynamics of viral infection

N-body Simulations in Astronomy and Astrophysics

John Butcher Symplectic methods for the simulation of Hamiltonian systems
Rosemary Mardling Resonance, chaos and stability in the general three-body problem
Philip Sharp Jupiter: shield or sniper?
Winston Sweatman Binary star scattering encounters resulting in single stars

Nonlinear Optimization and Applications

Jonathan Borwein Future challenges for variational analysis
Regina Sandra Burachik Inexact proximal point methods for variational inequality problems
Ian Coope Direction-set updates for derivative-free optimization
Bruce Craven Kinds of vector invex
Andrew Eberhard A new least squares best fit problem for utility estimation with application to the fitting of elasticities to data in CGE modelling
Gary Froyland A multistage stochastic programming approach to open pit mine production scheduling with uncertain geology
Robin Hill Infinite dimensional linear programming and chaos
Phil Howlett Necessary and sufficient conditions for inversion of perturbed linear operators on Banach space.
C Yalcin Kaya Runge-Kutta discretization and inexact restoration for optimal control
Yanqun Liu SIP approach to continuously constrained LQ optimal control problems via piecewise polynomial control parameterization
Yousong Luo Necessary optimality conditions for some control problems of elliptic equations with venttsel boundary conditions
Chris Price A stochastic direct method for bound constrained non-smooth global optimization
Fang Wang Optimal attitude control of an accompanying satellite rotating around the space station
Rob Wenczel Overshoot characterisation for continuous-time systems
Rob Womersley Solving large scale highly nonlinear systems of equations and spherical designs

Number Theory

Michael Bennett The generalized superelliptic equation
Andrew Bremner Rational solutions of y²=x⁶+k
Kevin Broughan On the missing values of n! mod p
Shaun Cooper Series and iterations for 1/p
John Friedlander Local and global zeros of ternary quadratic forms
Alexandru Ghitza Computing level one Hecke eigensystems (mod p)
Byoung Du Kim Iwasawa theory of elliptic curves for supersingular primes
Claude Levesque A fundamental system of units for a family of algebraic number fields of degree 12
Florian Luca On the spacings between C-nomial coefficients
Jim MacDougall Rational-derived polynomials
Greg Martin Inequities in the Shanks-Rényi prime number race
Roger Oyono Modular curves of genus 3
Samir Siksek Perfect powers expressible as sums of two cubes
Cameron Stewart Cubic Thue equations with many solutions
Gary Walsh Application of a theorem of Akhtari to families of quartic diophantine equations.
Hugh Williams A fundamental cryptographic(?) algorithm
Tomohiro Yamada On finiteness of odd superperfect numbers
Liangyi Zhao On Hecke eigenvalues at Piatetski-Shapiro primes

Partial Differential Equations

Giles Auchmuty An intrinsic description of the trace spaces H^s(∂G) and classes of harmonic functions on G.
Daniel Daners Inverse positivity for general Robin problems on Lipschitz domains
Yihong Du Convergence and thresholds in nonlinear diffusion problems
Tom ter Elst Sectorial forms and degenerate operators
Nalini Joshi Direct " Delay" reductions of the Toda equation
James McCoy Fully nonlinear curvature flows of nonconvex hypersurfaces
Parinya Sa Ngiamsunthorn An abstract approach to domain perturbation for parabolic equations
Adam Sikora Analysis of degenerate elliptic operators of Grusin type
Charles Stuart Bifurcation for some non-Fréchet differentiable problems
Melissa Tacy Hypersurface L^p estimates for approximate eigenfunctions of a differential operator
Eiji Yanagida Convergence of anisotropically decaying solutions of a semilinear parabolic equation

University Mathematics Education, Teaching and Learning

Bill Barton More mathematical graduates than ever: behind the figures from UOA
Bill Blyth Annotations and digital ink in teaching electronically and via the access grid ... in Australia and the UK ... and NZ?
Bill Blyth eLearning and automated assessment using Maple
Jonathan Borwein Digitally assisted discovery and proof in mathematics
Graham Clarke Distance education with discrete mathematics
Patricia Cretchley An urgent mathematical mustering: calling all king Terry's horses & all king Tao's men
Miroslav Haviar Fermat's Last Theorem in romantic mathematics
Carolyn Kennett Challenging pre-service primary teachers
Bob Megginson American Indian participation in mathematics in the U.S. - obstacles and opportunities
Ross Moore Advanced features in mathematics typesetting and presentation
Ross Moore Demise of the "back of envelope" sketch?
Leanne Rylands The use of reflective journals in a first year mathematics unit
Jan Thomas The decline of Australian mathematical sciences capability