Title Project Description Level Supervisor(s)
Classical indeterminism near closed time-like curves

General relativity predicts the possibility of space-time geometries that contain closed time-like curves (CTCs), along which a particle could travel back in time and interact with its past self. Studies of simple bouncing billiard balls along CTCs have revealed a surprising feature: Given the...

PhD Project
Honours Project
Dr Fabio Costa
Locality from dynamics

All fundamental interactions known in nature are local: only close-by systems can interact. But where does the very notion of closeness come from? Ultimately, we only learn about spatial relations through physical systems, it should thus be possible to understand the locality...

Honours Project Dr Fabio Costa
Quantum Information on indefinite causal structure

Quantum information has developed in the last decades into a broad field, offering several promising applications for future technology and deep insights into the foundations of physics. Very recently, first steps have been made in the direction of theoretically characterising and experimentally...

PhD Project
Honours Project
Dr Fabio Costa
Modelling of epithelial mono-layers

This project is in collaboration with the experimental group of A. Yap (UQ). We are interested in understanding how the signaling cascade starting from cortical Anillin and Rho proteins affects cortical contractility in eptihelial cell monolayers. To this end we want to simulate a "pseudo-...

PhD Project
Masters Project
Honours Project
Dr. Dietmar Oelz, Dr. Zoltan Neufeld
Player Valuation in Rugby League

Traditional models of player valuation in Rugby League use summary statistics to estimate the value of a player.  Some examples include: minutes played, tackles made, tackles missed, hit ups made, metres gained, tries scored, try assists, errors, penalties conceded and kick effectiveness....

Honours Project
Summer Project
Winter Project
Dr Michael Forbes, Dr Alan Huang
High-Tech Sundials

A “digital sundial” has recently been created using 3-D printing and open-source code [Ref: http://www.mojoptix.com/2015/10/25/mojoptix-001-digital-sundial/]. This high-tech product uses the classic...

Honours Project
Summer Project
Dr Margaret Wegener
Developing an Undergraduate Holography Lab

A method for recording holograms that requires no chemical processing offers greater feasibility to include holography in practical physics classes [Ref: Chiaverina, C.“The Physics Teacher” vol. 48, November 2010, P 551-552]. This project will investigate the possibilities of “...

Honours Project
Summer Project
Dr Margaret Wegener
Developing Online Interactive Resources for Physics Learning

These projects, on developing and evaluating innovative teaching material, will focus on particular aspects of a larger, team-based Physics education researchproject, eg: further development of “5-Minute Physics” dynamic, interactive e-learning resources [Ref: https://teaching.smp.uq...

Honours Project
Summer Project
Dr Margaret Wegener, Assoc. Prof. Tim McIntyre
Gravitational Quantum Physics

The regime where general...

PhD Project
Honours Project
Dr Magdalena Zych
The Coffee Ring

Investigate formation of a coffee ring using luminescent nanodiamonds. 

Honours Project Dr Taras Plakhotnik
Directional switching due to tug-of-war in intra-cellular cargo transport

Suitable forStudents with interests in mathematical biology, modelling and numerical simulation.  Students with a variety of backgrounds are welcome.

Project description:  In biological cells cargo is transported by molecular motor...

Masters Project
Honours Project
Summer Project
Winter Project
Dr Dietmar Oelz
Truck Scheduling in the Postal Service Industry

Consider other ways of formulating and solving the problem described in the attached paper.  Specifically, consider Network Flow models with Lazy Constraints.

Masters Project
Honours Project
Michael Forbes
Alternative Fuel Vehicle Scheduling

Consider alternative solution techniques to the problem examined in the linked document.

https://repository.asu.edu/attachments/134788/content/Adler_asu_0010E_13619.pdf

Masters Project
Honours Project
Michael Forbes
Prioritization via Stochastic Optimization

Implement the approaches described in the attached paper using disaggregated Benders Decomposition.

Masters Project
Honours Project
Michael Forbes
Modeling Two-Dimensional Guillotine Cutting Problems via Integer Programming

Re-implement the solution techniques in the attached paper, using Lazy Constraints where appropriate.

Masters Project
Honours Project
Michael Forbes
Cosmology and Black Holes with the Dark Energy Survey

With the Dark Energy Survey (DES) over five years we are observing about 300 million galaxies, expect to discover about 3000 supernovae, and are getting time-lapse measurements of almost 800 Active Galactic Nuclei.  We have just completed the fourth year of a five-year observing campaign,...

Honours Project Tamara Davis
Modelling of Sustainable Fisheries

 

 

The Centre for Applications in Natural Resource Mathematics (CARM) is a School Centre in the School of Mathematics and Physics at The University of Queensland. The Centre is co-funded by...

PhD Project
Masters Project
Honours Project
Professor Jerzy Filar, or other staff members associated with CARM
Lie superalgebras

Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between...

Masters Project
Honours Project
Associate Professor Jorgen Rasmussen
Superfluidity in a trapped Bose-Einstein condensate with an oscillating barrier

Floquet theory finds solutions to Hamiltonian systems that are periodic in time.  They are easy to find via ...

Honours Project
Summer Project
Professor Matthew Davis
Mass flows between close binary stars

The mass of a star is a fundamental property governing its evolution. The evolution of single stars is well understood but some very close binary stars can transfer mass from one star to the other, resulting in strange evolutionary paths. We will ...

Honours Project
Summer Project
Prof David Moriarty (principal), Prof Michael Drinkwater (associate)
Finite temperature Josephson junctions

When two superfluids are connected by a weak link, they exhibit the Josephson effect – oscillations in the current between the two fluids.  This project would...

Honours Project
Summer Project
Professor Matthew Davis
Nonequilibrium superfluid flows

See Mason, D. J., Borunda, M. F., & Heller, E. J. (2015). Revealing the flux: Using processed Husimi maps to visualize dynamics of bound systems and...

Honours Project
Summer Project
Professor Matthew Davis
Tensor Network / Matrix Product State methods for computational quantum many-body problems

Tensor Networks provide a representation of a quantum many-body wave-function (or a classical partition function) that is suitable for computational methods, mainly for low-dimensional problems (1D and 2D). The most mature branch of tensor networks is known as Matrix Product States (MPS), also...

PhD Project
Masters Project
Honours Project
Summer Project
DR Ian McCulloch
Modern Statistical Inference
As our world is becoming more and more complex, Statistics remains the most principled way to make some sense of all this randomness. A quote by Hal Varian, Chief economist at Google, conveys a lot about the current relevance of statistics:
 
“I keep saying...
PhD Project
Masters Project
Honours Project
Summer Project
Professor Dirk Kroese
Advanced Monte Carlo Methods
Many real-world quantitative problems are solved nowadays through Monte Carlo methods: that is, through random experiments on a computer....
PhD Project
Masters Project
Honours Project
Summer Project
Professor Dirk Kroese
Honours/Master project: Real time measurement of BEC position and moments

Exisiting at temperatures near absolute zero,...

Masters Project
Honours Project
Summer Project
Dr Tyler Neely, Dr Mark Baker
Models for counts

Count data often exhibit deviations from a nominal Poisson distribution. This project will look at ways to handle such deviations, both parametrically and non-parametrically.

PhD Project
Masters Project
Honours Project
Dr Alan Huang
Card shuffling and other random processes

Why are seven shuffles enough to randomise a deck of cards (Bayer & Diaconis, 1992)? Can we extend this result to other types of shuffles? What other random processes can we...

Honours Project Dr Alan Huang
Active magnetic field cancelling

Our planned production of spinor condensates will require careful control of external magnetic fields. In an effort to do this, we will be...

Honours Project
Summer Project
Tyler Neely
Destructive/non-destructive darkground imaging of BECs and lattice physics

This project will centre on implementing and characterising the darkground imaging...

Honours Project
Summer Project
Tyler Neely
Sculpting the BEC wavefunction - Experiment

Our lab has recently demonstrated the ability to control the density of an 87Rb BEC on a...

PhD Project
Masters Project
Honours Project
Tyler Neely
Scheduling Arrivals to a Processor Sharing Congestion System with Linear Slowdown: Integer Programming Techniques

Develop Integer Programming models and solution techniques for exact or heuristic solutions to the problems described in this paper: http://arxiv.org/abs/1508.03136

Honours Project
Summer Project
Dr Michael Forbes, Dr Yoni Nazarathy
Flinders Hamiltonian Cycle Project

Statistical analysis of and development of solution techniques for the problems in the FHCP Challenge Set

...

Honours Project
Summer Project
Dr Michael Forbes, Dr Yoni Nazarathy
Modelling the growth and treatment of brain tumours

The research project will develop a biologically realistic mathematical model and computer simulations of the growth of glioblastoma brain...

PhD Project
Masters Project
Honours Project
Summer Project
Zoltan Neufeld
Macroscopic entanglement and Bell inequality tests with ultra-cold atoms

PhD, Masters, Honours, and Summer projects are available in the area of fundamental tests of quantum mechanics in macroscopic regimes. The project addresses an open fundamental question in physics of how quantum mechanics applies to systems...

PhD Project
Masters Project
Honours Project
Summer Project
Associate Professor Karen Kheruntsyan
Stochastic quantum hydrodynamics: a new theoretical approach to nonequilibrium dynamics of quantum many-body systems

The project aims to develop a new theoretical approach - stochastic quantum hydrodynamics - to understand one of the grand challenges of physics: how do complex, many-particle systems evolve in the quantum realm when driven far from equilibrium? Understanding the out-of-equilibrium of such...

PhD Project
Masters Project
Honours Project
Summer Project
Associate Professor Karen Kheruntsyan
Dynamical Systems and Ergodic Theory

Student projects are available in the areas of dynamical systems and ergodic theory. Possible topics include the analytical and computational study of metastable and coherent structures. Such structures encode important properties of the long term behaviour of the underlying system. They have...

PhD Project
Masters Project
Honours Project
Dr Cecilia González Tokman
Gauss-Bonnet Formula for Singular Surfaces

The Gauss-Bonnet formula is one of the most important results in differential geometry, relating the geometric curvature of a closed surface with the topological Euler characteristic. In this project, you will conduct research on a...

Honours Project
Summer Project
Dr Huy The Nguyen
Eigenvalues of the Laplacian on a Riemannian Manifold

For Riemannian manifolds, there is a natural differential geometric...

Honours Project
Summer Project
Dr Huy The Nguyen
Simulating superradiance

Superradiance occurs when several emitters emit radiation in phase, causing the emission to occur much faster than it would if each emitter was independent. This project is about simulating...

Honours Project Dr Ivan Kassal
Theory of organic photovoltaics
Organic solar cells differ from conventional (inorganic) ones in several ways. Most importantly, organic materials are disordered, meaning that charges tend to be localised and move by hopping---quite distinct from the band transport in...
PhD Project
Honours Project
Dr Ivan Kassal
Curve Shortening Flow

The curve shortening flow is a parabolic geometric flow, which belongs to the family of equations which includes the Ricci...

Honours Project
Summer Project
Dr Huy The Nguyen
Exploring the Phase Transition in Inhomogeneous Random Graphs

In 2007, B. Bollobas, S. Janson, and O. Riordan published an important paper titled ``The Phase Transition in Inhomogeneous Random Graphs,'' which gives properties of a very...

Honours Project
Summer Project
Dr Thomas Taimre
Projects in Representation Theory

I have projects available in reprentation theory and related areas. For information, students can look at my website http://petermc.net/maths/ and in particular http://petermc.net/maths/students.html

PhD Project
Masters Project
Honours Project
Summer Project
Dr Peter McNamara
Spherical Functions

A classical result due to MacDonald shows that certain functions (so-called spherical functions) that appear in representation theory of p-adic groups are well known symmetric functions. This project will study this theorem of MacDonald,...

Masters Project
Honours Project
Dr Peter McNamara
Creating a Peculiar Velocity Module for CosmoMC

Although there are many surprising aspects of our current model of the Universe, much of the confidence in the model comes from many independent observational methods which all point to the same picture.  As such, one of the essential tools in cosmology is the ability to easily combine...

PhD Project
Masters Project
Honours Project
Summer Project
Dr. Ed Macaulay
Simultaneous Fits for Cosmology and Peculiar Velocities

Studying the velocities of galaxies is one of the most direct methods we can use to map out the invisible ‘Dark Matter’, which appears to comprise much of the Universe.  Conventionally, this is done in two distinct steps: firstly, observational parameters are fitted to the...

PhD Project
Masters Project
Honours Project
Summer Project
Dr. Ed Macaulay
Creating a Peculiar Velocity Module for CosmoMC

Although there are many surprising aspects of our current model of the Universe, much of the confidence in the model comes from many independent observational methods which all point to the same picture.  As such, one of the essential tools in cosmology is the ability to easily combine...

PhD Project
Masters Project
Honours Project
Summer Project
Dr. Ed Macaulay
Efficient Simulation of Random Networks

The properties of complex networks are difficult to study without the aid of simulation, and so efficient and reliable simulation techniques for random networks are of great interest.  Two such methods are degree distributions and graph motifs.

In this project, you will investigate...

Honours Project
Summer Project
Dr Thomas Taimre
Empirical Study of Stochastic Network Games

Stochastic game theory is the study of strategic interactions between actors in an environment where their payoffs are affected by the actions of all players in the past.

In this project, you will investigate in simulation simple models for stochastic network games, where the environment...

Honours Project
Summer Project
Dr Thomas Taimre
Estimation and Inference on Random Networks

Social, economic, and infrastructure networks are crucially important to today's increasingly connected world.  In this project you will investigate how to estimate models of dynamic networks and conduct inference for these...

Honours Project
Summer Project
Dr Thomas Taimre
Photometric analysis of close eclipsing binary stars

The mass of a star is a fundamental property governing its evolution. Binary stars provide a means to obtain stellar masses accurately when the orbital period and velocities of the components can be determined. Eclipsing binaries are particularly important as the inclination of the orbit to our...

Honours Project
Summer Project
Prof David Moriarty (adjunct), Prof Michael Drinkwater
Combinatorial Benders' Cuts for the Strip Packing Problem

In this project students will implement the algorithms in the attached paper, possibly improving them by making more general use of lazy constraints.

Masters Project
Honours Project
Summer Project
Dr Michael Forbes
Exact solutions of the strongly coupling Hubbard model and the proof of Hund’s rules

The Hubbard model is the simplest possible model of systems of interacting electrons and is believed to describe the basic physics of many materials from high-temperature superconductors, to organic spin-liquids, to cold atoms in optical traps. Yet it has only been solved exactly in three...

PhD Project
Masters Project
Honours Project
Summer Project
A/Prof Ben Powell
Game theory and algebraic geometry

Nash's equilibrium is a celebrated result in mathematics and economics. It is one of the foundational results in game theory. The aim of this project is to explore the relationship between game theory and algebraic geometry. 

Honours Project Masoud Kamgarpour
World Championship Scrabble

The aim of this project is to implement and improve upon the algorithms in the attached paper.  This will likely be done using Stochastic Dynamic Programming for the end game and Approximate Dynamic Programming, or similar, for the early and middle game.

Would suit someone with very...

Masters Project
Honours Project
Summer Project
Dr Michael Forbes
BYOP - Bring Your Own Problem

Due to the rapid advances in solution techniques in many areas of Operations Research, interesting projects can arise from applying up to date solution techniques to past papers, even very recent papers.

At an Honours level this may...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Michael Forbes
Algorithms for the Minimum Connected Dominating Set Problem

This project considers the attached paper: Benders Decomposition, Branch-and-Cut, and Hybrid Algorithms for the Minimum Connected Dominating Set Problem.

The paper applies Benders Decomposition by repeatedly solving the master problem and adding Benders cuts.  This...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Michael Forbes
Mathematical models for real time or turn based strategy games

Many real time and turn based strategy games have an initial phase of game play, before interaction with any opponents, that is almost completely focused on economic and/or military development.  This project would look to build stochastic dynamic programming models of this stage of one or...

Masters Project
Honours Project
Summer Project
Dr Michael Forbes
Efficient Simulation for the Poisson Lily-Pond Model

The Poisson lily-pond model is a spatial germ--grain process, whose ``germs'' are points of a Poisson process with ``grains'' growing at uniform rate from these germs, stopping when their boundaries touch.  While some results regarding the size of the largest connected...

Honours Project
Summer Project
Dr Thomas Taimre
Importance Sampling for Diffusion Processes via Path-Dependent Mapping

A diffusion process on a Riemannian manifold has infinitesimal generator which is fundamentally related to the Laplace--Beltrami operator on that manifold.  For a...

Masters Project
Honours Project
Dr Thomas Taimre
Efficient Parameter Estimation for Signals from Laser Interferometers

The excess-phase model for interferometric signals is a simple model which well captures much of the complex behaviour observed in laser interferometers. ...

Honours Project
Summer Project
Dr Thomas Taimre
Sequential Importance Sampling with Mixture Models

Mixture models are a powerful tool for many statistical applications, including density estimation from data.  
This project focuses on using mixture models in sequential or on-line importance sampling.  A specific application of interest is to the estimation of rare events,...

Honours Project
Summer Project
Dr Thomas Taimre
Numerically Stable Simulation of Stochastic Differential Equations Driven by Empirical Processes

Stochastic differential equations driven by Brownian motion or L\'evy processes are well established as models for many real-world phenomena.  Just as there are efficient...

Masters Project
Honours Project
Dr Thomas Taimre
Efficient Estimation for Heavy-tailed Random Sums of Light-Tailed Random Variables

Random sums of random variables arise in many contexts of applied probability such as the probability of buffer overflow in queues, or when considering the probability of ruin for risk models.  When such quantities of interest cannot be evaluated precisely, there are many well established...

Masters Project
Honours Project
Dr Thomas Taimre
Understanding the effects of individual variation on population dynamics

Recent empirical studies have shown that trait variation among individuals in a population can have a significant impact on population dynamics. Given the considerable resources devoted to managing populations in Australia, it is vital individual variation be understood. We will use the tools of...

PhD Project
Honours Project
Professor Phil Pollett, Dr Ross McVinish
Diagram algebras and integrable lattice models

Diagram algebras offer an intriguing mathematical environment where computations are performed by diagrammatic manipulations. Applications include knot theory and lattice...

PhD Project
Masters Project
Honours Project
Associate Professor Jorgen Rasmussen
Theory and computation of nonparametric generalized linear models

Generalized linear models have quickly become indispensable tools for the...

Masters Project
Honours Project
Dr. Alan Huang
What turns spiral galaxies into elliptical galaxies in galaxy groups? (Observational Part)

Supervisor: Prof Michael Drinkwater

It is well known that dense galaxy clusters contain a much higher fraction of elliptical galaxies compared to spiral galaxies than more typical less...

PhD Project
Masters Project
Honours Project
Prof Michael Drinkwater
How typical is our Local Galaxy Group?
Supervisor: Prof Michael Drinkwater
 
This project will uncover how unusual the Local Group is by comparing the MW and...
PhD Project
Masters Project
Honours Project
Prof Michael Drinkwater
Theory and Computation of Nonparametric Generalized Linear Models (Note: To Be Supervised by Dr Alan Huang commencing February 2014)

Generalized linear models have become indispensible tools for the analysis of biomedical, agricultural and engineering data. Recently, there has been some exciting work on novel extensions of generalized linear models that relax...

Honours Project Dr Alan Huang (Note: Commencing in February 2014)
Two tier integer programming using Benders style objective estimates

Benders Decomposition can be applied to problems with two tiers of decision variables, where the top tier are integer variables and the second tier are continuous variables.

This project would look at the application of similar approaches to problems where both tiers have integer...

PhD Project
Masters Project
Honours Project
Dr Michael Forbes
Root systems and their applications in representation theory

Root systems are one of the most remarkable structures elucidated in 20th century mathematics. They have a simple definition in terms of linear algebra and combinatorics, but have...

Honours Project Masoud Kamgarpour
Design of organic solar cells and organic light-emitting diodes (OLEDs)

To head of the threat to the planet posed by climate change we need to develop radical new technologies that change the way we generate and use electricity. Solar cells and OLEDs represent two sides of this coin (light...

PhD Project
Masters Project
Honours Project
Summer Project
A/Prof Ben Powell
Quantum many-body theory of organic superconductors

High temperature superconductivity is one of the great unsolved problems in physics. In order to understand it we must solve the Schrodinger equation for ~1023 electrons that are interacting strongly with one...

PhD Project
Masters Project
Honours Project
Summer Project
A/Prof Ben Powell
Universal ratios in condensed matter
Ratios have provided fundamental new insights many phenomena. Ratios that take the same value in almost all situations are particularly useful as when they deviate from their usual value it is a clear signature that something interesting is happening. The...
PhD Project
Masters Project
Honours Project
Summer Project
A/Prof Ben Powell
Splitting the electron in a spin liquid

Spin liquids are exotic phases of mater where quantum fluctuations suppress classical long-range order. They are of particular interest because they may support deconfined ...

PhD Project
Masters Project
Honours Project
Summer Project
A/Prof Ben Powell
Atomtronic devices for fundamental tests of quantum mechanics

 

Unlike electronics, devices based around ultra-cold atoms aren’t strongly coupled to the environment through the electromagnetic interaction, so make an ideal test-bed for tests of coherent...

PhD Project
Honours Project
Dr. Simon Haine
Star formation in galaxies falling into clusters

In the hierarchical Universe galaxies come together to form large galaxy clusters, which attract more galaxies to the present day. As a galaxy is being assembled into such a cluster, its properties such as the rate at which it is forming stars change rapidly. Several magnificent examples of such...

Honours Project
Summer Project
Dr. Smriti Mahajan
What turns spiral galaxies into elliptical galaxies in galaxy groups? (Theory Part)

Supervisor: Prof Michael Drinkwater

It is well known that dense galaxy clusters contain a much higher fraction of elliptical galaxies compared to spiral galaxies than more typical less dense regions of the Universe. Many processes...

PhD Project
Masters Project
Honours Project
Prof Michael Drinkwater
5-Minute Physics

Development and evaluation of dynamic, interactive e-learning modules for pre-class preparation.

Honours Project
Summer Project
Dr Tim McIntyre, Dr Margaret Wegener
Applications of Approximate Dynamic Programming

Approximate Dynamic Programming (ADP) is an emerging area within Operations Research.  Projects could investigate the application of ADP to a specific difficult stochastic optimisation problem, especially in a domain where the...

PhD Project
Masters Project
Honours Project
Dr Michael Bulmer, Dr Michael Forbes
Quantum enhancement of light harvesting in sunlight

Photosynthetic organisms harvest light through large antenna complexes containing many chlorophyll molecules. Recent experiments have found that energy may be transported through antenna...

PhD Project
Honours Project
Dr Ivan Kassal
Developing the next generation of photon sources for quantum photonics.

 

The major roadblock for optical quantum information technologies is the absence of reliable single- and entangled- photons sources. The standard technique to generate such states employ the photons...

PhD Project
Honours Project
Dr Marcelo de Almeida
Robust narrow-band single photon source

Hybrid quantum technologies seek to alleviate the short commings of two individual quantum architectures by moving the information between the two systems. Commonly one seeks to exploit the excellent readout and storage capabilities of...

PhD Project
Honours Project
Dr. Till Weinhold
Hybrid Quantumoptics - Storing and interacting photons in atoms.

Quantum communication is already the first commercial application of quantum technology allowing the secure sharing of secrets over a dedicated channel. However the achievable distances are limited due to the inability to build efficient quantum repeaters —systems that teleport the quantum...

PhD Project
Masters Project
Honours Project
Dr. Till Weinhold
Photon-photon interactions mediated by integrated micro-resonators

Photons are one of the strongest candidates to implement scalable quantum computing and simulation architectures [1]. They are ideal for the distribution of quantum information and can be readily manipulated using a wealth of existing telecommunications technologies. However, the primary...

PhD Project
Masters Project
Honours Project
Dr. Till Weinhold & Dr. Michael Vanner
Surfaces with Critical Curvature Bounds

Surfaces are 2-dimensional objects that play a fundamental role in differential geometry and its applications. When surfaces are immersed in an ambient space they have a natural associated energy called the Willmore energy (or the elastic...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Huy The Nguyen
Geometric Flows

The field of geometric flows has seen significant recent activity with notable achievements such as the resolution of the geometrization conjecture, Poincaré's ...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Huy Nguyen
Mathematical and computational modelling of biological tissues: mechanical properties and morphogenesis

This project will investigate the role of mechanical interactions between cells in determining the structure,  morphology of different types of biological tissues. The project will use mathematical models, based on partial differential equations and/or stochastic models of interacting...

PhD Project
Masters Project
Honours Project
Summer Project
Zoltan Neufeld
Mathematical modelling of epidermal self-renewal and radiation induced cancer progression

The aim of this project is to understand the hierarchy and relative contributions of different stem cell populations to epidermal homeostasis and develop a comprehensive computational model that accurately describes the hierarchy and spatial/temporal organization of tissue self-renewal. This...

PhD Project
Masters Project
Honours Project
Summer Project
Zoltan Neufeld
Quantum control and measurement of superconducting quantum circuits

A number of Honors and Summer projects are available in the Quantum Device Laboratory, The University of Queensland. The student will have unique...

Honours Project
Summer Project
Dr Arkady Fedorov
On Modelling Heterogeneous Data via Finite Mixture Distributions

Finite mixture distributions have become increasingly popular in the modelling and analysis of data due to their flexibility. This use of finite mixture distributions to model heterogeneous data has undergone...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Statistical Analysis of Microarray Gene-Expression Data

This project is concerned with some of the problems and issues associated with the statistical analysis of microarray gene-expression data. One problem concerns the identification of genes that are differentially expressed between different classes containing tissue samples taken from subjects...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Critical Assessment of Automated Flow Cytometry Data Anlaysis Techniques

Traditional methods of analysing flow cytometry data rely on subjective manual gating. As modern day machines can now provide data on...

PhD Project
Masters Project
Honours Project
Professor Geoff Mclachlan
Clustering of High-Dimensional Data

This project is concerned with the clustering of high-dimensional data where the number of variables is much larger than the number of experimental units.  Consideration is to be given to the suitability and  effectiveness of the use of  factor models to enable normal mixture...

PhD Project
Masters Project
Honours Project
Professor Geoff McLachlan
Geometric PDE: Prescribed Curvature Problems, the Ricci Flow, and Yang-Mills Theory

There are multiple projects available in the field of geometric partial differential equations. Most of these projects focus on prescribed curvature problems, the Ricci flow, and Yang-Mills theory. The questions they address are related to general relativity, quantum field theory, and other...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Artem Pulemotov
Autonomous Robotic Flight.

There is growing interest in building and deploying small robotic aircraft for a variety of civilian applications.  This project will continue on from an engineering thesis project carried out during 2012 to build a robotic airplane...

Honours Project Dr Tom Stace
Building the World’s best Thermometer in a Small Glass Tube.

Over the last 3 years we have been developing a theory to understand the ...

Honours Project Dr Tom Stace
Quantum Error Correction.

When building a quantum computer, or other quantum processing device, it is important to be able recover from errors that may arise.  This is accomplished using error correcting codes, which redundantly encode quantum information in...

Honours Project Dr Tom Stace
Non-Markovian Quantum dynamics.

 

Many quantum systems interact with their environment, which destroys some of the peculiarities that quantum mechanics is known for, such as entanglement.   One of the common ways to...
Honours Project Tom Stace
Relativistic Quantum Information

Our two most fundamental theories of the universe are general relativity and quantum mechanics. Both work extremely well in predicting and quantifying phenomena in their respective regimes of application, but at a deep level the two theories are incompatible. Relativistic Quantum Information...

PhD Project
Honours Project
Professor Tim Ralph
Quantum Communication

Communications based on exchanging quantum particles such as photons can achieve outcomes that are impossible with classical communication systems. For example quantum key distribution (QKD) can achieve unconditionally secure communication. Because of the fragility of quantum particles, special...

PhD Project
Honours Project
Professor Tim Ralph
Quantum Computation

Quantum Computers promise major speed-ups in computation times for certain problems. Building a large-scale, universal quantum computer is a major practical challenge and still seems a long way off. However, recent results suggest that single-purpose quantum computers are far more practical in...

PhD Project
Honours Project
Professor Tim Ralph
Thermodynamics in the microcanonical ensemble

Some recent developments in statistical mechanics have come up with new geometric interpretations of thermodynamic quantities.  This project would look at applying these ideas to the Bose gas.  In particular, it would be to analytically incorporate additional conserved quantities into...

Masters Project
Honours Project
Summer Project
Associate Professor Matthew Davis
Nonequilibrium superfluidity in polariton condensates

Polariton condensates occur in two-dimensional semiconductor microcavities pumped by a laser.  The light excites electrons from the valence band to the conduction band,...

PhD Project
Masters Project
Honours Project
Summer Project
Associate Professor Matthew Davis
Pairing phase of the degenerate Bose gas

In the 1970s there was speculation that the cause of superfluidity in helium-4 was not due to Bose-Einstein condensation, but a form of Cooper pairing between attractive bosons,...

Masters Project
Honours Project
Summer Project
Associate Professor Matthew Davis
Thermalisation of a spin-1 Bose gas in a double well

This project simulates the quantum dynamics of a “spin-1” Bose gas in a double well potential.  A spin-1 gas has three spin components, which can interconvert due to spin-collisions (...

Honours Project
Summer Project
Associat Professor Matthew Davis
EQuS - Quantum Emulation with Neutral Atoms - Experiment

 

"And therefore, the problem is, how can we simulate the quantum mechanics?...We can give up on our rule about what the computer was, we can say: Let the computer itself be built of quantum mechanical elements which obey quantum mechanical laws. ...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Tyler Neely, Professor Halina Rubinsztein-Dunlop
Interactive Demonstrations using Mathematica

The Wolfram Demonstrations Project contains thousands of contributed interactive graphical demonstrations that allow to easily convey mathematical concepts. In this project the student will contribute additional demonstrations illustrating concepts of either stochastic processes, parameter...

Masters Project
Honours Project
Dr Yoni Nazarathy
Data Analysis of Melbourne's Urban Road Traffic

This project deals with analysis of huge volumes of data recorded on-line for urban road traffic networks, namely Melbourne's traffic system.  There are tens of interesting questions that need to be formulated and answered by means of real data analysis.

Masters Project
Honours Project
Dr Yoni Nazarathy
Effective Computing in Model Predictive Control for Urban Road Traffic Networks

This project deals with control of traffic light systems in large urban networks. It has recently been suggested to apply model predictive control techniques which involve large scale optimization repeatedly. The goal of this project is to analyze the associated optimization problems and find...

Masters Project
Honours Project
Dr Yoni Nazarathy
Ruin Theory and Correlated Random Walks

Ruin Theory is a branch of actuarial mathematics used by insurance companies for setting reserves.  The cleanest model is that of constant revenue subject to occasional losses (claims). An output of ruin theory in that case is the probability of defaulting.

In the basic model, inter...

Masters Project
Honours Project
Dr Yoni Nazarathy
The Positive Realization Problem

The Positive Realization Problem deals with finding descriptions of linear systems based on non-negative matrices.  It has applications in control, applied probability and statistics, yet is linear-...

Masters Project
Honours Project
Dr Yoni Nazarathy
Convolutions in the S-Plane with Applications

It is well known that the Laplace transform of a time-domain convolution of two functions is the product of the individual Laplace transforms.  A similar 'dual' property is that a convolution type contour integral of two Laplace transform yields the time domain product.  This...

Honours Project Dr Yoni Nazarathy
Statistical Estimation of Matrix Analytic Queueing Models

The study of matrix analytic methods in queueing theory is by now a well established research field. The basic idea is to model queueing phenomena by complex large dimensional Markov chains which are well structured and are thus amenable to efficient algorithmic...

PhD Project
Masters Project
Honours Project
Dr Yoni Nazarathy
Quantum theory of hydrogen bonding

Hydrogen bonding plays a central and diverse role in materials physics, chemistry and biology. It is key to the unique properties of water, the double helix structure of DNA, and the precise...

PhD Project
Honours Project
Professor Ross McKenzie
Are post-starburst galaxies really dead?

Lack of emission from young stars in spectroscopic data of some nearby galaxies suggest that their star formation has recently been quenched. However, this can also happen if the young stars in these galaxies are hidden behind clouds of dust which emit at infra-red wavelengths only. In this...

Honours Project
Summer Project
Dr Smriti Mahajan
Fermionic matterwaves for precision interferometry

This theoretical project uses fermionic matterwaves to increase the sensitivity of atom interferometers for precision measurement. The focus on...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Joel Corney
Organic-inorganic hybrid opto-electronic devices

This research project will create the next generation of advanced materials, and novel...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Ebinazar Namdas
High-precision fundamental atomic, molecular and optical physics

This project is aimed at a theoretical and computational exploration of atoms and how they tick.  With recent atomic physics experiments being able to measure towards accuracies of 1 part in 1018, they require high-...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Michael Bromley
Design of quantum measurement devices using cold atoms in exotic geometries

This project is aimed at a theoretical and computational exploration of the quantum-atom optics of ultracold matter.  The goal is to design and characterise novel high-...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Michael Bromley
Nonequiilbrium flows and superfluid turbulence in dilute gas Bose-Einstein condensates

Dilute gas Bose-Einstein condensates (BECs) were experimentally observed for the first time in 1995, more than seventy years after their initial proposal by Einstein.  Like helium-4 below the lambda point, they exhibit the defining...

PhD Project
Honours Project
Professor Matthew Davis
Emergent physics in quantum transport in ultracold atomic gases

The project seeks to understand an open fundamental problem in physics: How do complex microscopic interactions in many-particle systems lead to the emergence of a qualitatively new behavior and to the formation of new states of quantum matter. We will investigate this problem in the context of...

PhD Project
Masters Project
Honours Project
Summer Project
Associate Professor Karen Kheruntsyan
Theoretical Models of Photoswitching in Spiropyran-Merocyanine Molecular Switches

This goal of this project will be to understand factors mediating the efficiency and speed of photoconversion in spiropyran-merocyanine photoswitches.  These molecules are interesting because the switching process is reversible, and because the reactant and product forms have very...

Honours Project Dr Seth Olsen
Theoretical Models of Photoswitching Processes in Dithienylethenes: Origin and Optimization of Photoswitchable Electrical Conductivity

The goal of this project is to characterize the photoconversion of dithienylethenes, a class of photoswitchable molecules that are potential targets for light-controlled organic electronic devices (see attached picture).  These molecules are interesting because the photoswitching process is...

Honours Project Dr Seth Olsen
Probing star formation in nearby young OB associations

Star formation is the process by which stars form out of interstellar gas clouds. Although important for astronomy, we still have only an incomplete understanding of star formation because it happens at the centers of heavily obscured dust clouds. One can however look at the results of star...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Holger Baumgardt
Probing the carrier traps in organic solar cells

Organic solar cells have attracted significant commercial interest because of their desirable properties. These solar cells can be made easily, possibly cheaply, are light weight and can be made onto flexible substrates. Already, organic solar cells have been appearing in ‘niche’...

PhD Project
Honours Project
Summer Project
Dr Kwan H. Lee
Mathematical / Computational Neuroscience

Projects are available in the mathematical/computational modelling of brain development and function. Areas of particular interest are the development of connections between neurons by ...

PhD Project
Masters Project
Honours Project
Summer Project
Prof Geoff Goodhill
Neutral atom quantum processor by time-averaged optical dipole potential (Experiment/theory)

For quantum computing and simulation using neutral atoms trapped in a lattice one needs a physically scalable system that can facilitate single qubit initialization, gate and entanglement operations and state selective read-out.  The...

Honours Project Dr Mark Baker
Bose-Einstein condensates in time-averaged optical toroidal potentials (experimental)

Since the first experimental realization of a Bose-Einstein condensate (BEC), many of its properties have been thoroughly investigated. Superfluidity is one of the properties of a...

Honours Project Dr Mark Baker
Monte-Carlo algorithm for sampling the thermodynamic properties of the 1D Bose gas at finite temperature

The stochastic Gross-Pitaevskii formalism can sample the grand-canonical ensemble for the interacting Bose gas by assuming the ergodic hypothesis that time evolution fairly...

Honours Project
Summer Project
Professor Matthew Davis
Research projects in Engineered Quantum Systems

Taking advantage of the subtleties of quantum mechanics to do useful tasks is one of the keys to future technological advances.  In the Centre for Engineered Quantum systems, we are developing theory and experiment to identify promising systems to that end.  For instance, recent...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Tom Stace
Modeling the dynamics of the faintest dwarf galaxies

In recent years, a large number of faint dwarf galaxies have been discovered in the halo of the Milky Way. The newly discovered galaxies are considerably fainter and more compact than known dwarf galaxies, blurring the line between galaxies and star clusters. In this project you will perform...

Masters Project
Honours Project
Summer Project
Holger Baumgardt
Quantum Entanglement in Atom Lasers

An atom laser is a device that spits out atoms in the same way that an optical laser spits out light: That is, it creates an atomic matterwave with a well defined wavelength, amplitude and phase. Such a system is interesting for...

PhD Project
Honours Project
Dr. Simon Haine
Quantum-Enhanced Atom Interferometry

An atom interferometer is a device that utilizes the quantum wave-like nature of atoms to make extremely sensitive measurements of quantities such as rotations and accelerations. This...

PhD Project
Honours Project
Simon Haine
Quantum thermalisation

How do isolated quantum systems thermalise?  Isolated quantum systems undergo unitary evolution which preserves the entropy.  However, at the level of statistical mechanics, any disturbance will lead to an increase in entropy...

PhD Project
Honours Project
Summer Project
Professor Matthew Davis
Projects in combinatorial geometry

There are several research projects available in combinatorial geometry, covering areas such as polytope theory, hyperplane arrangements and triangulations, and with applications in knot theory, low-dimensional topology and operations research. Interested students are welcome to arrange a...

PhD Project
Honours Project
Professor Benjamin Burton
Projects in computational topology

There are several research projects available in computational geometry and topology, ranging from summer research projects through to large-scale PhD projects.  Please visit the websites of Benjamin Burton and...

PhD Project
Masters Project
Honours Project
Summer Project
A/Prof. Benjamin Burton, Dr Jonathan Spreer, Dr Clément Maria, Dr William Pettersson
Precision Measurement with ultracold atoms in a double-well potential

Bose-Einstein condensates in a double-well potentials have been used as a relatively simple system in which to study the quantum many-body physics of ultracold atoms, in particular the interplay of quantum...

Masters Project
Honours Project
Summer Project
Dr Joel Corney
Quantum Squeezing in Photonic Crystal Fibres

The propagation of ultrashort pulses of light in optical fibre has proved to be a very efficient method of 'squeezing' the quantum properties of light. Squeezing means the...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Joel Corney
Light Emitting Field Effect transistors

Plastic or “organic” electronics are widely viewed as being the key to next generation, low cost,...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Ebinazar Namdas
Organic Semiconducting Lasers

Lasers have many applications in all of the branches of science and technology -- they can weld...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Ebinazar Namdas
Optimization using statistical models

The field of meta-heuristic optimization offers a variety of powerful methods for solving difficult optimization problems, and requires no prior knowledge other than the cost function and any constraints. These methods include simulated annealing, genetic algorithms, estimation of distribution...

PhD Project
Masters Project
Honours Project
Dr. Ian Wood
Statistical model selection, with a focus on high-dimensional data

A variety of assessment methods exist to aid in the choice of an optimal statistical model or the set of explanatory variables to be used with it. The ability to measure and store data increases yearly leading to a growing demand for the analysis of high-dimensional data in many fields e.g....

PhD Project
Masters Project
Honours Project
Dr. Ian Wood
Nonlinear Partial Differential Equations and Geometric Evolution Equations

A number of projects are offered in the areas of Nonlinear Partial Differential Equations and Geometric Evolution Equations. These include topics in partial regularity theory for elliptic and parabolic systems, the evolution equations associated with liquid crystals, Yang-Mills flow and work on...

PhD Project
Masters Project
Honours Project
Summer Project
Professor Joseph Grotowski