The VRS reports and blogs are written and proofed by individual authors and supervisors. Any of the opinions or work presented in these reports and blogs is that of the author and do not necessarily reflect those of the Australian Mathematical Sciences or any of its staff.

2017/18

VRS Research Reports & Student Blogs are available for download via the Student Profile. Please click on the arrow under Details to view the Student Biography and Project Abstract.

TIP: Use the search function to locate student by University or name

UNIVERSITY STUDENT SUPERVISOR/S PROJECT TITLE STUDENT PROFILE
Australian National University James Bailie Vigleik Angeltveit Stable Homotopy Theory and Category of Spectra
Federation University Leonard Whitehead Alexander Kruger Visualisation of Subdifferentials  
La Trobe University Melissa Scott Agus Salim Statistical Challenges and Approaches in Analysis of Small-RNA Sequencing Data
La Trobe University Jonathan Baldwin Yuri Nikolayevsky & Grant Cairns Hopf Fibration
La Trobe University Daniel Vidali Fryer Andriy Olenko Functionals of Long-range Dependent Fields and Hermite Distributions
La Trobe University James Koussas Tomasz Kowalski Complex Algebras of Graphs
La Trobe University Luke Agosta Yuri Nikolayevsky & Grant Cairns Unital Associative Algebras over the Field ℝ and How They Relate to the Groups SU(2) and Spin(3)
Monash University Samuel Schneider Hans De Sterk & Gregoire Loeper Neural Networks: Algorithms and Applications
Monash University Peizheng Ni Daniel Mathews & Norman Do Counting Curve on Surface
Monash University Antony Kennett Kais Hamza & Andrea Collevecchio The Percolation of Cellular Automata
Monash University Randall Chu Hans De Sterck Numerical Optimisation Methods for Big Data Analytics
Queensland University of Technology Sean McInerney Matthew Simpson & Elliot Carr How to Cool Burns Using Maths
Queensland University of Technology Phuong Tran Chris Drovandi Statistical Methods for Accelerometer Data
RMIT University Fei Lu Vera Roshchina Unfoldings of Polytopes
Swinburne University of Technology Oliver Clemenston Tonghua Zhang Time Delays in Gene Expression
The University of Adelaide Lachlan Bridges Giang Nguyen The Effect of Boundary Constraints on Markov-Modulated Diffusion Processes
The University of Adelaide Jessica Penfold Lewis Mitchell Investigating the Causal Link Between Influenza and Climate Factors in Australia
The University of Adelaide Bethany Phipps Patricia Solomon & Tyman Stanford Survival Data Analysis for Improving Patient Outcomes
The University of Adelaide Adam Hamilton Matthew Roughan Backpacking in a World of Secrets
The University of Adelaide Kim Becker Daniel Stevenson How To Assemble Simplicial Sets
The University of Adelaide Nicholas McLean Finnur Lárusson Chaotic Dynamics on the Riemann Sphere
The University of Melbourne William Troiani Daniel Murfet Programming in Three Dimensions
The University of Melbourne Nicolau Andres Thio Charl Ras An Heuristic Algorithm for the Minimum Weight Triangulation
Problem
  
The University of Melbourne Robert Dusanovic Thomas Quella Topological Invariants in Quantum Systems
The University of Melbourne Edmund Lau Barry Hughes Extending Stochastic Agent-Based Model for Evolutionary Dynamics of Phenotype-Structured Population
The University of Melbourne Alexander Nunn John Sader & Jesse Collis Flapping of Leaves and Inverted Flags in a Steady Flow
The University of Melbourne Qiuyi Li Yan-ban Chan & Nathan Clisby Endless Self-Avoiding Walks in Two Dimensions
The University of Melbourne Nicholas Liu John Sader & Daniel Ladiges Monte Carlo Simulation of Low Mach Number Oscillatory Couette Flow and Applications
The University of Newcastle Joshua Connor Brian Alspach & Thomas Kalinowski Cycle Spectrum for Honeycomb Toroidal Graphs
The University of Newcastle Jacob Crawford Brian Alspach & Thomas Kalinowski Hamiltonian-Laceability in Honeycomb Toroidal Graphs
The University of Newcastle Elliot Catt Pablo Moscato & Luke Mathieson Edge Elimination for the Hamiltonian Cycle Problem
The University of Queensland Seamus Albion Ole Warnaar & Chul-Hee Lee Characters and q-series
The University of Queensland Julia Lynch Toby Meadows Forcing and Set-theoretic Geology
The University of Queensland Adele Jackson Benjamin Burton The Unknotting Problem and Fixed-Parameter Tractability
The University of Sydney Terry Shang Robert Marangell & Holger Dullin Hill Equation with Complex Potential
The University of Sydney Courtney Darville Nathan Brownlowe Characterising Unitaries in Leavitt Algebras
The University of Sydney Timothy Collier Daniel Hauer The Time-dependent De Georgi Method for Operators
The University of Sydney Asem Wardak Stephan Tillmann Negatively Curved Structures in Dimensions Three and Four via Discrete Geometry
The University of Western Australia Stephen Lamb Lyle Noakes Classical Problems in Calculus of Variations and Optimal Control
University of South Australia Alycia Winter Yalçın Kaya Study of a Generalized Newton Method for Solution of Nonlinear Equations
University of Wollongong Wern Shing Ng Mark Nelson Harvesting Algae: The Green Gold of The Future
University of Wollongong Kyle Stevens James McCoy & Ngamta Thamwattana Modelling Range Expansion of Invasive Species
Western Sydney University Olivia Michael Oliver Obst Representation Learning for Mobile Robots in Dynamic Environments  
2015/16

VRS Research Reports & Student Blogs are available for download via the Student Profile.  Please click on the arrow under Details to view the Student Biography and Project Abstract.

TIP: Use the search function to locate student by University or name

University Student Supervisor/s Project title Details
Federation University Australia Debra Briggs David Yost Comprehensive Catalogue Of Polyhedra
La Trobe University Maxwell Cairns Luke Prendergast New Interval Estimators For The Ratio Of Quantiles From Two Independent Populations
La Trobe University Alex Ligthart-Smith David Farchione, Luke Prendergast A Comparison Of Longitudinal Data Models That Include Time-Varying Covariates
La Trobe University Elisa Tancredi Katherine Seaton Factors Affecting Success In Mathematics At La Trobe University
Monash University Joshua Cameron Joel Miller, Jennifer Flegg The Role Of Concurrent Relationships In Disease Spread
Monash University Kevin Duxbury Jennifer Flegg Reaction-Diffusion Model For Human Oocyte Symmetry Breaking
Monash University Jamieson Kaiser Joel Miller, Hans De Sterck The Spread Of Dynamic Processes On Random Graphs With Spatial Structure
Monash University Rhiannon Kirby Simon Clarke Spatial Interactions Of Infected Mosquito Populations
Monash University Haris Sahovic Joel Miller, Manoj Ghambir What Do We Need To Know To Respond To The Next Emerging Disease?
Queensland University of Technology James Bubear Joanne Hall Skolem Sequences And Graphs
Queensland University of Technology Luke Ginn Troy Farrekk Mathematical Modelling Of Battery Electrodes:
Queensland University of Technology Nicholas Johnson Matthew Simpson The G'/G-Expansion Method For Nonlinear Differential Equations
Queensland University of Technology Emma Johnston Tim Moroney Fractional Reaction-Diffusion Models For Anisotropic, Heterogeneous Media
Queensland University of Technology Amy Stringfellow Scott McCue Droplet Pearling
Queensland University of Technology Lachlan Tyrrell Scott McCue, Chris Green Evolving Bubbles In A Hele-Shaw Cell
RMIT University Sarah Gazelle John Shepherd The Von Bertalanffy Population Model Applied In Tumour Growth Modelling
RMIT University Peter Wreford Stephen Davis Analysis Of Vector Dissimilarity Measures To Build Gene Networks From Chickpea Expression Data
The Australian National University An Ran Chen Anthony Licata Random Planar Graphs
The Australian National University Xiangyuanchai Guo Alan Welsh Models For Selection Effects
The Australian National University Maxim Jeffs Bryan Wang The Donaldson-Floer-Fukaya Category In Yang-Mills Theory
The Australian National University Anna Vaughan Peter Bouwknegt Introduction To String Theory
The Australian National University Yinli Wang Barry Croke, Tony Roberts Modelling Surface Water Flow In The Lower Campaspe Catchment
The University of Adelaide Russell Edson Sarthok Sircar Cartilage Biomechanics: Multi-Scale Modelling, Analysis And Scientific Computing
The University of Adelaide Michael Hallam Finnur Larusson Internal Hom-Objects In The Category Of Topological Spaces
The University of Adelaide Daniel Kon Patty Solomon, Joshua Ross A Statistical Model For Missing Data In Proteomics Studies Of Gastric Cancer
The University of Adelaide Angus Lewis Giang Nguyen Approximating Heavy-Tailed Distributions Using Infinite Phase-Type
The University of Adelaide John McCarthy Thomas Leistner Lorentzian Surfaces
The University of Adelaide Matthew Ryan Michael Murray, Nick Reed Knots And Sticks
The University of Melbourne Shane Henry Peter Taylor, Nicholas Read Forecasting Fire Bugs
The University of Melbourne Joseph Johnson John Sader Numerical Solution Of The Boltzmann Equation For Rarefied Gas Flows
The University of Melbourne Todd Neve Iwan Jensen, Naida Lacevic Partition Function Zeros And The Ising Model In A Field
The University of Melbourne Timothy O'Sullivan John Sader Molecular Dynamics
The University of Melbourne William Stewart Derek Chan, Qiang Sun Benchmarking A Novel Electromagnetic Scattering Method
The University of Melbourne Albert Zhang Derek Chan, Qiang Sun Benchmarking A Novel Electromagnetic Scattering Method
The University of Newcastle Timothy Tillman George Willis Unicellularity Of Shift Operators
The University of Newcastle Morris Vysma Bjorn Ruffer, Ben Babao Chaos Encrypted Communication Channels
The University of Queensland Alexander Baker Artem Pulemotov The Geometry Of Homogeneous Spaces
The University of Queensland Anna Kervison Artem Pulemotov The Ricci Curvature Of Rotationally Symmetric Metrics
The University of Queensland Ainsley Pullen Clement Maria Indecomposables Of Quiver Representations In The Category Of Finitely Generated Abelian Groups
The University of Queensland Aiden Suter Jorgen Rasmussen Calculus Of Formal Distributions And Vertex Operator Algebras
The University of Sydney Padraic Gidney Robert Marangell Spectral Dynamics Of Periodic Wavetrains In Reaction Diffusion Equations
The University of Sydney Eric Hester Geoff Vasil Studies Of Dead Water In Stratified Fluids
The University of Sydney Alexander Stokes Nalini Joshi Symmetry Analysis Of Pole Distribution Of Special Solutions Of The Continuous/Discrete Painleve Equations
The University of Sydney Steve Xu Ray Kawai Acceleration Of Stochastic Approximation Parameter Search In Adaptive Monte Carlo Simulation
The University of Sydney Abdul Zreika Stephan Tillmann The Space Of Closed Essential Normal Surfaces In Knot Complements
The University of Western Australia Dimitrio Sidi Neville Fowkes Rhino Conservation Problem
University of South Australia Xuemei Liu Regina Burachik Study Of Duality Schemes With Sequential Lagrangian Updates
University of Technology Sydney Andy Chu Christopher Poulton, Matthew Arnold Modelling Of Absorbing Thin Film Optical Materials In The Presence Of Highly Conductive Gratings
University of Technology Sydney Logan Haami Christopher Poulton, Matthew Arnold Modelling Of Absorbing Thin Film Optical Materials In The Presence Of Highly Conductive Gratings.
University of Wollongong Penelope Drastik Dave Robertson, Nathan Brownlowe Zappa-Szep Products Of Compact Quantum Groups
2014/15

VRS Research Reports & Student Blogs are available for download via the Student Profile.  Please click on the arrow under Details to view the Student Biography and Project Abstract.

TIP: Use the search function to locate student by University or name

University Student Supervisor/s Project Title Details
Australian National University Xun Chun Tee Alan Welsh Model Selections in Linear Mixed Model
Australian National University Omar Ghattas Dale Roberts Pricing Contingent Claims on Crypotucurrencies
Deakin University Laura Smith Simon James Maintaining Consistency of Individual Preferences during Consensus Rounds in Group Decision Making
Griffith University Bryce Hackett Peter Johnston Mathematical Model of Oscillatory Calcium Signals
Griffith University Marsel Gokovi Owen Jepps The Travelling time across Microporous Potentials and the Diffusion Coefficient
La Trobe University Morgan Hunter Agus Salim Linear mixed models with Gaussian mixture to identify contaminants in proteomics data: a prelude to intra-experiment normalization.
La Trobe University Asha Gair Brian Davey Quasi-primal Cornish Algebras
La Trobe University Kari Matthews Grant Cairns, Yuri Nikolayevsky Free groups generated by a pair of parabolic matrices
La Trobe University Zackary Burton Yuri Nikolayevsky, Grant Cairns Geometry of Minkowski space
Monash University Musashi Ayrton Koyama Daniel Mathews, Daniel Horsley Programming with Topology
Monash University Jiemi (Jimmy) Lin Jennifer Flegg Modelling the Use of Supplemental Oxygen to Combat Surgical Site Infection
Monash University Tyson Liddell Jerome Droniou Topological degrees and applications
Monash University Benjamin Jones Norm Do The Interplay between Knots and Representations
Monash University Rahil Valani Anja Slim, Joel Miller Wave particle Duality of multiple bouncing fluid droplets
Monash University David Ceddia Pascal Buenzli Kinetic gas theory of bone cell activation with moving surfaces
Monash University Shmuli Bloom Enrico Carlini Sums of power decompositions
Monash University Angus Southwell Daniel Mathews, Daniel Horsley Knots, Cords and Skeins
Monash University Max Jolley Norman Do Counting coverings of the sphere
Monash University Gilbert Oppy Anja Slim, Michael Page Discrete dynamics of a bouncing ball
Queensland University Technology Alex Browning Matthew Simpson Random walk models on growing domains: Mean particle lifetime analysis
Queensland University Technology Liam Polkinghorne Joanne Hall Nonlinear Codes of Length 4 on 4 Symbols
RMIT University Norah Finn Anthony Bedford, Elsuida Kondo Workload and Performance – The Development and Application of Predictive Models for the Australian Wheelchair Rugby Team
RMIT University John Tait Stephen Davis Ballprint identification of infants: Is it possible?
RMIT University Stephen Pang Anthony Bedford, Elsuida Kondo Modelling NHL Data – Prediction, Performance and Analysis of Ice Hockey’s Big Data
RMIT University Mi Do Stelios Georgiou Linear codes over large alphabets
RMIT University Rohit Kumar John Shepherd Smith's Population Model in a Slowly Varying Environment
RMIT University Si-Zhong (Simon) Lu Yan Ding, Sargon Gabriel Integrating multiple time-scales involved in arterial mass transport
The University of Melbourne Naijian (Eric) Shen John Sader vibration of a thin rectangular cantilever plate in viscous fluid
The University of Melbourne Campbell Wheeler Paul Norbury Mirror symmetry and topological quantum field theory
The University of Melbourne Anas Rahman Nicholas Witte Densities and Moments of the Beta Ensembles in Random Matrix Theory
The University of Melbourne Bohao Yao Charl Ras, Hamid Mokhtar Algorithm for finding Hamiltonian cycle in planar graphs
The University of Queensland Liam Hodgkinson Philip Pollett Understanding the Effect of Individual Variation in Epidemics
The University of Queensland Hamish Thorburn Michael Forbes Mathematical Models for Cricket
The University of Queensland Trent Skorka Phillip Isaac Lie symmetries of differential equations
The University of Queensland Timothy Buttsworth Artem Pulemotov Riemannian Metrics on Doubled Manifolds
University of Adelaide Parsa Kavkani Hang Wang Dirichlet's Theorem of Arithmetic Progressions and Generalisations
University of Adelaide John Connell Michael Murray Visualizing Complex Functions
University of Adelaide Lachlan Bubb Joshua Ross A study of Epidemiological models, with particular focus on estimation of R0 for Ebola Virus Disease
University of New South Wales Christopher Rock John Murray, Richard Gray HIV and Periodic Presumptive Treatment of STIs in Papua New Guinea
University of New South Wales Terence Harris Michael Cowling Noncommutative calculus
University of New South Wales Tingyu Mao Ian Doust Maximal p-negative type for different norms on R^3
University of Newcastle Thomas Robinson Murray Elder 1324 Avoiding Permutations
University of Sydney Joshua Ciappara Oded Yacobi Spherical harmonics and categorical representation theory
University of Sydney Abraham Chi Shun Ng Daniel Hauer The Dirichlet-to-Neumann operator
University of Sydney John Peter Wormell Uri Keich, John Robinson A fast and numerically robust method for computing Pearson's exact multinomial goodness-of-fit test
University of Sydney Nathan Duignan Georg Gottwald Understanding time series of ice-core data and building models to reproduce ice ages
University of Sydney Nicholas Katada Ray Kawai Optimal Convergence Rate of Leave-One-Out Likelihood Estimation for the Location Parameter of Unbounded Densities
University of Sydney Kristen Emery Uri Keich, John Robinson Sequential FDR
University of Western Australia Ben Luo Thomas Stemler, Michael Small Analysis of Irregularly Sampled Time Series
University of Western Australia Anahita Haghighat Lyle Noakes, Jingbo Wang Quantum Algorithms; a Geometrical Perspective
University of Western Australia Kyle Rosa Lyle Noakes, Lucho Stoyanov Inverse Scattering by Finitely Parameterised Planar Obstacles
University of Western Australia Adrian Petersen Phil Schultz Unique and Non-Unique Decomposition in Rings
University of Wollongong Lauren Borg Brian Cullis, Emi Tanaka Issues in QTL Analysis and Association Studies in Plants with High Dimensional Marker Platforms
University of Wollongong Anthony Flynn Glen Wheeler, Yann Bernard & Valentina-Mira Wheeler Wente's Inequality in Higher Dimensions
University of Western Sydney Hind Abdallah Laurence Park, Glenn Stone Aggregating and sampling rankings
University of Wollongong Nicole Cocks Brian Cullis, Emi Tanaka Statistical Protocols for Late Maturity Alpha-Amylase in Wheat
2013/14

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Gleb Kotousov Vladimir Bazhanov PDE Metric Solution
Angus McLure Geoffry Mercer Epidemiological modelling of Clostridium difficile
Benedict Morrissey Peter Bouwknegt Geometric Langlands Program
Deakin University
Jake Kays Kali Nepal Optimising potential Australian high-speed railway station locations
Jaimie McGlashan Vicky Mak Treatment Planning Optimisation of Modulated Arc Therapy with Burst Mode
Ryann Sullivan Gleb Beliakov Real-Time Human Activity Recognition in Augmented Reality Games
Flinders University
Anthony Clissold Jerzy Filar Markov Decision Processes and the Modelling of Patient Flows
Griffith University
Matthew Palermo Peter Johnston Analytical Solutions for Transcranial Direct Current Stimulation
La Trobe University
Lettisia George Andriy Olenko Geometric properties of heavy-tailed random fields
Charles Gray Brian Davey & Jane Pitkethly The lattice of digraphs
Timothy Koussas Grant Cairns & Yuri Nikolayevsky Topological Graph Theory: Conway's Thrackle Conjecture
Rupert Kuveke Paul Kabaila Comparison of the performance of methods for finding Value-at-Risk
Daniel Mahar Luke Prendergast Sensitivity of generalized least squares to correlation structure misspecificantions
Krystyn Villaflores Agus Salim Absolute Risk Estimation using Nested Case-Control Data
Adam Wood Grant Cairns & Yuri Nikolayevsky Lines and circles in the three-dimensional Heisenberg group
Macquarie University
Daniel Lin Mark Weber Enriched Polynomial Functors
Monash University
Wayne Cheung Jonathan Keith Bayesian inference for cancer-related signaling networks
Alastair Dyer Norman Do How many ways are there to cover a sphere?
Thao Le Jonathan Keith Bayesian invasive species modelling allowing for increasing public awareness
Zhigen Wilson Lin Pascal Buenzli Mathematical Modelling of Bone Tissue Regulation
Will Stavely Norman Do The algebra of knots
David Stojanovski Pascal Buenzli A continuous model of bone formation
Michelle Strumila Daniel Mathews Topological Quantum Field Theory and Information
Jackson Sweeney Numerical Methods for an Oil Recovery Model
Queensland University of Technology
Melanie Kaasinen Scott McCue Collective motion of a population of elongated cells
Liam Morrow Matthew Simpson Series solutions of nonlinear differential equations
Alex Simmons Qianqian Yang Efficient preconditioning and method of lines techniques for solving nonlinear space-fractional differential equations on unstructured meshes
RMIT University
Mehrnaz Heydarinoori Yan Ding Obstacle-influenced particulate deposition concentrations in wall-bounded flow
Hayden Johns Babak Abbasi Operations research modelling for comparative analysis of the emergency department length of stay between stroke and cardiac patients
Ashim Khadka Yan Ding Assessment of the effects of viscous fluid shear stress on an elastic membrane
Ngo Nam Leung Stephen Davis Mathematical models for dog rabies that include the curtailing effect of human intervention
Stuart Roberts John Shepherd Harvesting the Single Species Gompertz Population Model in a Slowly Varying Environment
Estefania Yap Melih Ozlen A survey of developments for multi-objective programming
The University of Adelaide
Luke Keating Hughes Danny Stevenson de Rham's Theorem via Cech Cohomology
Ho Ka Ng Paul McCann The Fundamental Groupoid
Wai Pun Patty Solomon Statistical Decision Theory
The University of Melbourne
Axel Almet Barry Hughes & Kerry Landman When push comes to shove: exclusion processes with nonlocal consequences
Justin Smallwood Owen Jones Drift estimation for diffusions observed on a spatial lattice
Adriana Zanca Barry Hughes & Kerry Landman Trading Places: Agent exchange in diffusion processes
The University of Western Australia
Melissa Lee John Bamberg Some Configurations of an Affine Space and the game of SET
Michael Mcphail Michael Small The statistical properties of complex networks
University of Newcastle
Patrick Andersen Natashia Boland New Theory and Algorithms for Scheduling Arc Shutdown Jobs in Networks
The University of Queensland
Ryan Heneghan Phil Pollett Exploring Vaccination Methods For An SIR Epidemic on a Random Population Network with Household Structure and Varying Rates Of Infectivity & Severity
Helen Hunt Diane Donovan Investigation of Manipulation of Methods of Difference Construction for Mutually Nearly Orthogonal Latin Squares
Luran Li Michael Bulmer Applying Approximate Dynamic Programming to the Elevator Dispatching Problem
Thomas Moore Zoltan Neufeld Modelling dynamic pattern formation on the cell cortex
Adam Murray Huy Nguyen The Willmore Energy
University of Sydney
Somasuntharam Arunasalam Holger Dullin Lie-Poisson Symmetry Reduction after Regularisation of the n-Body Problem
Minh Huyen (Diana) Nguyen Holger Dullin Lie-Poisson Symmetry Reduction after Regularisation of the n-Body Problem
Christopher Ryba Gustav Lehrer Representation theory of the finite and affine Temperley-Lieb algebras in positive characteristic
Makoto Suwama Steve Donnelly Understanding hard cases in the general class group algorithm
Huon Wilson Uri Keich Computing fast and accurate convolutions
University of Wollongong
Shuhui He Glen Wheeler & Valentina-Mira Wheeler Minimal Surfaces
Michael Mampusti Michael Whittaker & Sam Webster Software to Produce Fractal Tilings of the Plane
Walter and Eliza Hall Institute
Shian Su Matt Ritchie Adding to the Galaxy of statistical methods for genomic analysis
2012/13

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Mark Bugden Bryan Wang Quantisation Law and K-theory in Quantum Field Theory
Charles Sturt University
Peter Crowhurst Dr Zhenquan (Jan) Li, Numerical solution of one-dimensional shallow water equations
La Trobe University
Christopher Taylor Dr Marcel Jackson True but not provable
Nguyen Thanh Tung Dr Yuri Nikolayevsky & A/Prof Grant Cairns Geodesics in four-dimensional unimodular Lie algebras
Rheanna Mainzer Luke Prendergast Spectrum quality assessment in Mass Spectrometry Proteomics
Monash University
Simon Andrew Bowly Professor Kate Smith-Miles Evolving hard instances of graph colouring problems
Timothy Luke Hyndman Davaa Baatar Conical duality and constrained optimisation - no report attached
Cody McRae Dr Jonathan Keith Bayesian inference in nonlinear dierential equation models
Mahasen Alexander Sooriyabandara Dr Norman Do How many ways are there to tile a surface?
Nathan Eizenberg Dr Dietmar Dommenget Climate Sensitivity Analysis with Globally Resolved Energy Balance Model
Queensland University of Technology
Mitchell O'Sullivan Dr Chris Drovandi Experimental design for models with intractable likelihoods
Brody Foy A/Prof Scott McCue Travelling wave solutions for cell invasion driven by a velocity jump process
Joel Alroe A/Prof Troy Farrell Modelling the evaporation of a liquid droplet
Sarah Armatys Dr Petrus Van Heijster & A/Prof Scott McCue Turing Patterns on Growing Domains
Jesse Sharp Dr Matthew Simpson Mean field models for cell growth processes
RMIT University
Shrupa Shah Dr Stephen Davis & Dr Babak Abbasi Statistical Models for wildlife contact networks – confronting theory with data
Benjamin Stott Prof Andrew Eberhard & Dr Ian Grundy A study of information sharing in deterministic swarms
Adrian Hecker Prof Kathy Horadam Random Graph Prototypes for Noisy Biometric Graphs
The University of Adelaide
Brett Chenoweth Prof Michael Murray Euler's Theorem
Lydia Braunack-Mayer Dr Joshua Ross & Mr Jono Tuke Approximate Bayesian Computation and Summary Statistic Selection in Epidemic Models
Brock Hermans Dr Joshua Ross & Mr Jono Tuke Application of Approximate Bayesian Computation to estimate parameters in model of infectious diseases spread on a network
Thomas Brown Dr Ben Binder & Dr Edward Green Agent based models of cell aggregation
Ewan Short Dr Luke Bennetts Waves in Sea-Ice
The University of Sydney
Christopher Thornett Daniel Daners Hausdorff measures and applications
Rebecca Barter Shelton Peiris Estimation for ACD and log-ACD models
Montek Gill Stephan Tillmann Cross ratios and Thurston's gluing equations over rings
Ragib Zaman Gus Lehrer Group Actions on the Cohomology of Hyperplane Complements
Ben Szczesny Zhou Zhang Theory for Gaussian Variational Approximation of Bayesian Generalised Linear Models
Gemma Moran John Ormerod Theory for Gaussian Variational Approximation of Bayesian Generalised Linear Models
Harry Jack Holger Dullin Integrable systems related to the two dimensional Euler fluid flow on a rotating sphere
University of Melbourne
David Wakeham Dr Paul Norbury Quantum field theory and knot invariants
Mitchell Brunton Dr Alex Ghitza A Numerical Exploration of Multiple Zeta Values
Aaron Chong Prof. Barry Hughes & Prof Kerry Landman The Correlated Random Walk with Exclusion
Iokuan Allen Vong A/Prof. Aihua Xia Theory of Poisson Process and its Application to Traffic Modelling
University of Newcastle
Jake Fountain Dr Alexandre Mendes Mathematics of Motivated Reinforcement Learning for Humanoid Robot Soccer Head Behaviour
University of Queensland
Benjamin Babao Dr Artem Pulemtov Einstein metrics on domains of a solid torus
Patrick Laub Professor Phil Pollett Teletrac Theory: Practical Loss Networks
University of Western Sydney
Tanzila Chowdhury Dr Lawrence Park & Dr Aiden O'Loughlin Three dimensional reconstructions of coronary blood vessles
University of Wollongong
Lachlan MacDonald Prof Aidan Sims Self-similar actions of groups on graphs
Alexander Mundey A/Prof David Pask & Dr Nathan Brownlowe Applications of Bass-Serre Theory to C*-algebra
Alexander Gerhardt-Burke Dr James McCoy & Dr Glen Wheeler Self-similar solutions of the surface diffusion flow
2011/12

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Deakin University
Shaowu Liu Gleb Beliakov Cutting plane approach to parallel sorting on GPUs
La Trobe University
Adam Rentsch Marcel Jackson Mathematical Investigations of Rhythm
Macquarie University
Christopher Nguyen Paul Smith Special functions
Monash University
James Kwiecinski A/Prof. Michael Page Unsteady Free Surface Flows
Peter Lin Dr Gilbert Weinstein Geodesics in General Relativity
Queensland University of Technology
Megan Farquhar Daniel Mallett Determining Efficient Boarding Strategies for Passenger Aircraft
Stuart Johnston Matthew Simpson Mathematical Models of Cell Migration Incorporating Cell-to-Cell Adhesion
RMIT
Bradley O'Bree Anthony Bedford Predicting Match and Tournament Outcomes in Professional Golf
The University of Adelaide
William Crawford Associate Professor Finnur Larusson Finite Simple Groups, Trees, and Complex Polynomials
Kelli Francis-Staite Dr Thomas Leistner The Classical Groups
University of Newcastle
Mitchell Stewart Metcalfe Natashia Boland Scheduling Arc Outages so as to Maximize Network Flow Over Time
Matthew Tam Jon Borwein Alternating Projections
University of Queensland
Alexander Dunn Dr. Victor Scharaschkin Additive Combinatorics
University of Sydney
Alexander Campbell Dr Zhou Zhang Characteristic Classes - no report attached
The University of Western Australia
Murray Smith John Bamberg Intriguing Sets of Strongly Regular Graphs
Tao Mantaras Gordon Royle Roots of Chromatic Polynomials
University of Wollongong
Thomas O'Brien A/Prof David Pask Higher Dimensional Graph Algebras, Quantum Spaces and Spectral Triples
Ben Whitehead Mike Whittaker Cohomology of the Pinwheel Tiling
The University of Melbourne
Yuxin Joy Chen Professor Barry Hughes / Professor Kerry Landman Mathematical Modelling of Multi-Agent Systems with Applications in Biology and Medicine
Ellen Muir Professor Peter Taylor Design of Incentives in Distributed Stochastic Networks
Timothy Trott Professor Paul A. Pearce Off-Critical Logarithmic Minimal Models
2010/11

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Alexander Amenta Dr Bryan Wang Orbifolds and Orbifold index theory
La Trobe University
Lucinda Ham Dr Marcel Jackson Ehrenfecuht-Fraisse games in finite algebras
Monash University
Anthony Carapetis Dr Daniel Delbourgo Expansions of Zeta
Samuel TAN Dr Leo Lopes & Dr Kais Hamza Stochastic Integer programming models for asset and liability management
Joseph Yew Choe CHAN Prof. Robert Bartnik Visualising space-time geometry-black holes and matter flow
Queensland University of Technology
Adam Ellery Dr Matthew Simpson Advection diffusion reaction in a porous catalyst
RMIT University
Karen McCulloch Dr Stephen Davis Contact Networks for Mathematical Models of Infectious Disease
The University of Melbourne
Richard Hughes Prof. Hyam Rubenstein Topology of 3-manifolds
Elena Tartaglia Prof. Paul Pearce Birman-Wenzl-Murakami Algebra and Non-Planar Logarithmic Models
The University of Queensland
Yui Sze Chan Prof. You-Gan Wang Modelling the Stochastic Growth of Ornate Rock Lobsters (Panulirus Ornatus)
Trent Spears Prof. Phil Pollett Probability with Martingales for Economics and Finance
The University of Sydney
Ross Ogilvie Dr Daniel Daners Measure theory, geometric and analytic inequalities
Daniel Barter Dr Emma Carberry Sheaves and algebraic curves
Jason Tran Dr Michael Stewart The mixture exponential model
The University of Western Australia
Hui Ping Chua Dr Thomas Stemler Behaviour of unidirectionally coupled systems
University of Adelaide
Vincent Schlegel Prof. Michael Murray Quantum Structures of Yang-Mills Fields
University of Wollongong
Alison Lucas Dr Annette Worthy Modelling Cellular Immunology of Tuberculosis
2009/10

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Brendan Fong Amnon Neeman Schemes and sheaves
Xingyu Cai Andrew Hassell Can one hear the shape of a drum?
Lindon Roberts Markus Hegland Numerical solution of elliptic and parabolic PDE with finite elements and wavelets
La Trobe University
Stacey Mendan Brian Davey Ternary algebras
Macquarie University
Joshua Peate Xuan Duong Important inequalities and interpolation
Monash University
Tony Grubman Maria Athanassenas Minimal surfaces
Jun Liang Kais Hamza Means and inequalities
Jian Yen Christian Rau Spatial modelling with point processes, with view toward ecology
Queensland University of Technology
Luke Fitzpatrick Scott McCue Melting crystals in microgravity
Elizabeth Ryan Kerrie Mengersen Spatiotemporal modelling of dengue
University of Adelaide
James Travis Michael Murray Knots, braids and applications
University of Melbourne
John Telford Owen Jones Forecasting childcare enrolments
University of Queensland
Georgina Davies Michael Bulmer Risk factors for respiratory infections amongst preschool children in Indonesia
University of Sydney
Blake Churton Holger Dullin Dynamics of the pentagon
David Lewis Dave Galloway Dynamo problem
University of Western Australia
Aedan Pope Michael Giudici Commuting graphs
University of Wollongong
Kate Snow Mark Nelson Sensitivity to initial conditions: characteristing the accuracy of the weather forecast
2008/09

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Jonathan Henshaw Andrew Hassell Brownian motion
Deakin University
Adela Florina Pucea Gleb Beliakov Mathematical models or computational chemistry
La Trobe University
Alexandra Louise Garnham Luke Prendergast Some considerations for the method of principles Hessian direction analysus
Matthew Vicendese Paul Kabaila Comparison of classical and Bayesian approaches to testing for a unit root in a first order autoregressive time series model
Macquarie University
Anthony Wong Xuan Duong Boundedness of calderon-zygmund singular integral operators
Monash University
Lachlan Smith Robert Bartnik Spinors, minimal surfaces and isometric embedding
Scott Dawson Robert Bartnik Spinors, minimal surfaces and isometric embedding
Queensland University of Technology
Jemma McIntosh Dann Mallet, Sean McCue Smoothing shocks with higher-order parobalic PDE's
RMIT
Tim Wraight Kathy Horadam Equivalence classes of functions over finite fields
University of Adelaide
Michael Albanese Finnur Larusson Basic real analysis with hyperreal numbers without transfer
University of Melbourne
Yunshun Chen Kostya Borovkov, Aihua Xia Extreme value theory and records: a point process view
Samuel Chow Arun Ram Reflection groups and p-compact groups
Linden Gearing Kerry Landman Reaction diffusion equations in mathematical biology
University of Newcastle
Sam Johnson Natashia Boland The two-across cutting stock problem
University of New South Wales
Michael Abbott Rob Womersley, Scott Sisson Computational optimisation/Bayesian computational methods
The University of Sydney
Amelia Dale Anthony Henderson Nonzero entries of invertible matrices over a finite field
Theodore Minh-Tam Vo Martin Wechselberger A multiple time-scale analysis of bursting behaviour in a model of pituitary cells
University of Western Australia
Andrew Cannon Gordon Royle Cores of strongly-regular graphs
Leon Todorovich Anthony Pakes Limit theorems forcritical continuous-state branching processes
University of Western Sydney
Brent Le Cornu Andrew Francis Topological quantum computing
University of Wollongong
Yuen Yi (Cathy) Lee Mark Nelson Cleaning industrial wastewaters using a sludge disintegration system
2007/08

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Paul Tippet Michael Barnsley Finding the Hausdorff Dimension of the Kigami Triangle
La Trobe University
Brett Stanley Geoff Prince The inverse problem in the calculus of variations: non-existence of Lagrangians
Macquarie University
Daniel Linssen Rod Yager Elliptic curves
Monash University
Scott Dawson Burkard Polster Mathematical Table Balancing
RMIT
Russell East Kathy Horadam Crooked functionsg
University of Adelaide
Minh-Son To Matt Finn Chaotic Fluid Mixing
University of Melbourne
Yunshun Chen Kostya Borovkov & Aihua Xia Extreme value theory and records: a point process view
Rebecca Chisolm Kerry Landman Cell Transplantation
University of New South Wales
Carl Ang Ben Goldys Lévy Processes
University of Queensland
James Holland Joe Grotowski Gamma-Convergence
2006/07

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Paul Anthony Bryan Dr Ben Andrews The curve shortening flow
Simon Kitson Prof. Alan Carey Probability modelling
Deakin University
Simon James G Beliakov Aaggregation functions: properties and their visualizations
La Trobe University
Nathan Bock Luke Prendergast A sensitivity analysis of the ordinary least squares slope vector
Lincoln Grant Luke Prendergast Statistical analysis of financial time series
Delia Negrea Mitra Jazageri Extreme value theory in risk management
Macquarie University
Jacky Hin Lung Poon Dr Gerry Myerson Incongruent restricted disjoint covering systems
Monash University
David Hartley Prof. Robert Bartnik Minimal sumanifolds
Wendy Baratta Assoc. Prof. Alan Pryde The Laplace and Carleman spectra of Banach Space valued functions
Alex Lee Dr Kais Hamza Markov decision processes and the cutting problem
Martin Koslov Dr Robert Bartnik General investigations into the structure of 3+1 dimensional space times
James Nicholson Dr Ian Wanless Mutually orthogonal Latin Squares
RMIT University
Hua Min Situ Dr Robin Hill Aircraft response to gust
Natalie Aisbett Assoc. Prof. Serdar Boztas Orthogonal transforms applied to biometrics
Sam Sedgman Dr John Gear and/or Dr Yan Ding Acoustic wave propagation in gusty environments
Jessica Dunn Prof. John Hearne Individual based modeling of the endangered South African Black Rhino - no report attached
Joshua Camm Assoc. Prof. John Shepherd Variational principles applied in film blowing
University of Adelaide
Edward Ross Dr Finnur Larusson A real Shabat polynomial
University of Melbourne
Jonathan Brailey Dr Owen Jones Estimating the time change of Brownian Motion
Mark Bennett Assoc. Prof. Jerry Koliha An introduction to C*-algebras
Matthew Kotros Assoc. Prof. John Groves Tropical geometry
Stephen McAteer Assoc. Prof. Antoinette Tordesillas Topological evolution and nonaffine mapping in complex materials
James Saunderson Prof. Peter Forrester Properties of a special Fuchsian Differential Equation
University of New South Wales
Laurence Field Assoc. Prof. N. J. Wildberger Chromogeometry and conic sections
Katharine Turner Prof. M. G. Cowling The geometry of hyperbolic platonic surfaces
Catheryn Gray Dr J. Murray Ontologies in biomedicine
Michelle Dunbar Assoc. Prof. V. Jeyakumar Non-linear optimisation in classification and gene selection
Ognjen Stancevic Dr J. Murray Selection in an uncertain environment
University of Newcastle
Daniel Sutherland George Willis Non-linear network dynamics: the groupoid formalism
University of Queensland
Ivan Miljenovic Peter Adams Constructing a special class of partial Latin Square
Sean Wilson Victor Scharaschkin Elliptic Curves
Ryan Deslandes Victor Scharaschkin Category Theory
James Caffrey Dr A. P. Roberts Simulation of X-ray scattering patterns
University of South Australia
Joel Yan Scen Ang M Korolkiewicz Real options approach to evaluating capital investment decisions
University of Sydney
Joanna Wang Prof. John Robinson Saddlepoint approximation of lattice random variables
Lydia Byrne Assoc. Prof. Ruibin Zhang Representations of the general linear algebra on polynomial rings over C
Jason Zhi Yong Chung Dr Martin Wechulberger Investigation of class 1 type models for calcium oscillations
Michael Donovan Dr Anthony Henderson Minimal permutation degrees
Julian Gibbons Dr Jonathan Hillman Kirby calculus and handle body theory
University of Western Australia
Christopher Hopper Prof. Adrian Baddeley Spatial point patterns in astronomy
University of Wollongong
Stephen Maher Dr Grant Cox Formation and excitation of a nanotorus orbiter
Victoria University
James Villigner Dr Alisdair McAndrew Randon number generators: algorithms and analysis
2005/06

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Anna Ougrinovskaia Prof. Amnon Neeman Applications of algebraic topology
Curtin University
Ryan Loxton Dr Volker Rehbock Computational optimal control
La Trobe University
Rachael Hamilton-Keene Terry Mills, Chris Matthews Modelling patient satisfaction
Rohan Claffey Dr John Banks Geometric topology - the classification of compact 2-manifolds
Richard Campbell Assoc.Prof. Geoff Prince Topology and geometry of Raychaudhuri’s equation
Timur Hassan Assoc.Prof. Paul Kabaila Effect of statistical model selection on subsequent inference
Marcus Tonelly Dr Luke Prendergast Dimension reduction via ordinary least squares reduction
Macquarie University
Simon Bartlett Dr Jun Ma Parametric and semi-parametric mixture models
Monash University
Catherine Christie Dr Burkard Polster Mathematics of table turning
Liam Drummond-Clark Prof. Robert Bartnik and Dr Maria Athanassenas Formation of black holes
Madhubashini Gunasingha Prof. Fima Klebaner and Dr Kais Hamza Optimal portfolio of UniSuper
Fiona Permezel Dr Leo Brewin Estimating the excess precession of the perihelion of the orbit of Mercury
Nick Meinhold Prof. Robert Bartnik and Dr Leo Brewin Building a 4D ray tracing package for use in general relativity
Queensland University of Technology
Jennifer Pestana Prof. Ian Turner, Prof. Sean McElwain & Adjunct Prof. Helen Byrne Finite volume techniques applied to the non-linear coupled systems of parabolic partial differential equations
RMIT University
Richard Ryall Assoc.Prof. Basil de Silva Sequential methodology for kernel regression
Linda Nguyen Assoc.Prof. John Shepherd Slowly varying culling in a single species population model
Chun Xia Liang Dr Yousong Luo Black-Scholes model for option pricing
Kimngoc Tran Dr Yan Ding and Dr John Gear FEM modelling of the thermal conductivity of phase change material
University of Adelaide
Sam Cohen Elder Prof. Charles Pearce Time series analysis of climatic variations
University of Melbourne
Jane Davey Dr Dave Coulsen Aspects of the chromatic number of space
T’Mir Julius Dr Iwan Jensen The diffusive pair contact process
Jonathan Payne Dr Deborah King Measuring chaos
Jeremy Rosen Prof. Derek Chan Modelling adsorption of charged macromolecules
Paul Williams Dr John Groves Symmetry groups of tropical varieties
University of New South Wales
Charles Qin Dr Ian Doust Modern advances in the invariant subspace problem
Boris Lerner Dr Jonathan Kress Wave equations and symmetries in relativity
Xin Lei Dr Ben Goldys Pricing and hedging of game options
Si Chun Choi Assoc.Prof. Norman Wildberger A rational version of geometric algebra
Koushik Panda Dr Daniel Chan Quotient singularities - the invariant rings of finite groups
University of Newcastle
Steve Mohr Dr Jim MacDougall Trees with integer eigenvalues
University of Queensland
Jeanette Palmer Prof. Phil Pollett Network models for seismicity
Martin Leslie Dr Joe Grotowski Algebraic topology
Melissa Duncan Dr Jon Links Semi-classical analysis of models for Bose-Einstein condensates
Geoff Martin Dr Darryn Bryant Cycle decompositions of graphs
Nicole Smith Assoc. Prof. Elizabeth Billington and Assoc. Prof. Diane Donovan Investigation of a new method of constructing packings of K6m+5
University of South Australia
Zivana Zekanovic Dr John Boland Optimisation of orientation of photovoltaic cells
University of Sydney
Daniel Campos Dr Peter Buchen Continuous time random walks and fractional calculus in finance
Lance Gurney Dr Anthony Henderson Partition combinatorics - No Report
Graeme Pope Dr Martine Girard Elliptic curves and cryptography
Gareth White Dr David Kohel Elliptic curves and modular forms
Jonathan Sun Prof. G Lehrer Symmetric groups, symmetric functions and quantum groups
University of Western Australia
Luke Bayens Assoc.Prof. Tim Penttila Projective planes
University of Wollongong
Jennifer Gordon Assoc. Prof. Ken Russell Experimental design for logistic regression
Victoria University
Minh van Nguyen Assoc.Prof. Peter Cerone Population modelling of time varying vital rates and immigration
2004/05

VRS Research Reports are available for download, by clicking on the Project Title

Student Supervisor Project
Australian National University
Hugh Miller Prof. Amnon Neeman Algebraic geometry
Melissa Tacy Dr Ben Andrews Differential geometry - No report received
Tim Trudgian Prof. Murray Batchelor Mathematical physics
Owen Dive Prof. Dayal Wickramasinghe Computational astrophysics
La Trobe University
Sarah Myers Dr Grant Cairns Investigation of cyclotomic polynomials
David van Golstein Brouwers Dr John Banks Review and assessment of definitions of chaos in biological studies
Jingdong Xu Dr Volker Grimm and Prof. Reinout Quispel Experiments on the numerical simulation of the outer solar system
Davide Farchione Assoc. Prof. Paul Kabaila Credit risk modelling
Callum McLean Dr Luke Prendergast Comparisons between sliced inverse regression and sliced average variance estimation
Macquarie University
Fu Ken Ly Assoc. Prof. X.T. Duong Function spaces and interpolation of operators
Monash University
Trent Elms Assoc. Prof. Alan Pryde Topology and the Cantor Set
Mark Fisher Dr Pam Norton Measure theory - No report received
John Head Dr Maria Athanassenas The Plateau Problem
Nicholas Meinhold Dr Leo Brewin Visual representation of a black hole
Stephen Worcester Dr Maria Athanassenas Functional analysis: investigations in Costa's surface
Queensland University of Technology
Jenny Thackham Prof. Sean McElwain Modelling the use of hyperbaric oxygen in wound healing
RMIT University
Tatjana Grozdanovski Assoc.Prof. John Shepherd Population models with rapidly varying carrying capacities
University of Adelaide
Raymond Vozzo Prof. Michael Murray Quantum computing
University of Melbourne
Eleanor Button Assoc. Prof. Kerry Landman Cellular automata models for cell migration
Joanna Cheng Dr Nick Witte Computer algebra computations of spacing probabilities in random matrix theory
Michael Dann Dr Paul Norbury Feynman diagrams on Riemann surfaces - No report received
Andrew Kwok Assoc. Prof. Kostya Borovkov Zipf’s Law and contiguous topics in probability theory
Nick Sheridan Assoc. Prof. Craig Hodgson Enumeration and classification of knotted graphs
University of New South Wales
Maiyuran Arumugam Dr Ben Goldys Fractional Brownian motion
Arianna Cowling Dr Scott Sisson Likelihood analysis
Mark Fisher Dr Gary Froyland Identifying Macroscopic Structures in Dynamical Systems
James Maclaurin Dr Daniel Chan Representations of groups
William Soo Prof. Michael Cowling Generalising the Fourier Transform
University of Newcastle
Natasha Weaver Dr David Pask and Dr Aidan Sims Symbolic Dynamics
University of Queensland
Zdravko Botev Dr Dirk Kroese Global cross-entropy optimzation principles
Jane Boulton Assoc. Prof. Peter Adams Labellings of combinatorial graphs
Nicholas Gladwin Dr Michael Bulmer Characterising random number generation from images
Thomas McCourt Dr Victor Scharaschkin Class groups of quadratic number fields
Ben Roberts Dr Dirk Kroese MatLab toolbox on the cross-entropy method
University of Sydney
Alan Huang Dr Leon Poladian Statistical methods in an area of mathematical physics
Justin Koonin Assoc. Prof. Bob Howlett Coxeter groups
Gregory Londish Prof. Nalini Joshi Analytic solutions of deterministic epidemic models with time-dependent coeficients
Gareth White Dr Martine Girard Rational points on elliptic curves
Hanquing (John) Zhu Dr Peter Buchen Valuation of executive stock options
University of Western Australia
Shane Kelly Dr Michael Giudici Mathieu groups
University of Wollongong
Adam Hoare Dr Mark Nelson Quantification of synchronisation within coupled Lorenz systems
Victoria University
Justin Arundell Dr John Roumeliotis Mathematical modelling of regional electricity prices and loads
Contact Us

We're not around right now. But you can send us an email and we'll get back to you, asap.

Not readable? Change text.