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Vacation Research Scholarships 2005/06

Vacation Research Scholarship Projects 2005-2006
The Vacation Scholars, their research supervisors were as follows.

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

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