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Vacation Research Scholarships 2004/05

The 2004-05 Vacation Research Scholars.
Their research supervisors and topics were as follows.

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