A variety of projects are available that will contribute to the enumeration and characterisation of 3-periodic network structures via the tiling of periodic minimal surfaces and thereby enhance our understanding of self-assembled structures in nature.

The energy lansdscape of folded spheres, assuming elastic membranes and sticky inner surfaces, will be explored. 

The notion of protein secondary and tertiary structure is a loose one, that deserves a deeper look. Some proteins are considered to be highly structured in their usual folded state, others lack well defined structures. We are interested in the basic question "what is structure in a folded protein chain"?

Develop new methods for quantifying the shape of leaves and explore how these are correlated with their physical and biological properties.

This computational and theoretical project will extract geometric information from sequences of newly obtained 3D x-ray microscope images to better understand how two immiscible fluids interact inside complex porous materials.

We aim to use  machine learning techniques to identify minerals and components of three dimensional images obtained from X-ray micro Computed Tomography (XCT).

When fluids flow through porous rocks, the relatively slow bulk fluid front advances via a series of very small, very rapid jumps. This project investigates how the distribution and occurance of these jumps are influenced by experimental conditions such as flow rate and intermittentcy.

The ANU has constructed an X-ray micro-computed tomography facility with a unique helical scanning configuration that enables tomographic images of extremely high quality to be produced.  This experimental project will work with theoreticians to image the evolution of time-changing samples with unprecented time resolution.

When two or more fluids flow simultaneously within a porous medium, the distribution of the fluids depends on the wettability of the solid grain surfaces. This project will investigate how we can use the wettability property of solid surfaces to create ideal saturation conditions for plants grown under microgravity conditions.

Nanobubbles are simply nanosized bubbles. What makes them interesting? Theory tells us they should dissolve in less than a second but they are stable for days. Additionally, they have lots of interesting properties being implicated in medical treatments and cleaning technologies.

What is a granular material from geometry and physics perspective? We'll try to understand the fundementals of granular materials in this project.

Exploration of simpler entangled structures in 3-space is surpisingly undeveloped. Here we plan to catalogue simpler knots, links and tangled nets via two-dimensional geometry. 

Of great recent interest is the subject of rotaxanes.  Rotaxanes are molecules  where one or more ring
components is threaded onto an axle that is capped on both ends with stoppers to prevent the rings from
falling off. These systems exhibit complex and fascinating physics.

This project will develop new methods for "intelligent" processing of 3D X-ray data (i.e. methods which use a priori information). These new methods will double as a non-traditional approach to automated image analysis; the project will compare this new approach with more traditional methods.

"Phantoms" are objects used for performance testing and/or calibration of 3D X-ray computed tomography (CT) systems. This project involves designing, 3D printing, and subsequently imaging phantoms at the micro-CT facility of the Applied Maths department.

The CT lab hosts several 3D X-ray imaging systems, each generating ~240GB/day of data. The student will: (i) explore various data compression schemes; (ii) theoretically and empirically analyse interactions between data compression, X-ray image processing, and 3D analysis; (iii) develop new 3D imaging methods, based on successful data compression schemes

The ANU X-ray micro-tomography facility images over a broad spectrum (or range) of X-ray energies. The behaviour of specimens of interest at different X-ray energies can tell us a lot about its composition. This project will explore 1) techniques to image specimens at various X-ray spectral-bands, and 2) methods to analyse the results.

High-density objects in specimens of interest (e.g., metal-pins in biological specimens), can cause significant quality degradation of 3D images produced at our micro-tomography facility. This project explores/compares techniques in hardware to avoid the problem and techniques in software to correct for the problems caused by these objects.

Nanobubbles are simply nanosized bubbles. What makes them interesting? Theory tells us they should dissolve in less than a second but they are stable for days. Additionally, they have lots of interesting properties being implicated in medical treatments and cleaning technologies.

This computational and theoretical project will extract geometric information from sequences of newly obtained 3D x-ray microscope images to better understand how two immiscible fluids interact inside complex porous materials.

When fluids flow through porous rocks, the relatively slow bulk fluid front advances via a series of very small, very rapid jumps. This project investigates how the distribution and occurance of these jumps are influenced by experimental conditions such as flow rate and intermittentcy.

When two or more fluids flow simultaneously within a porous medium, the distribution of the fluids depends on the wettability of the solid grain surfaces. This project will investigate how we can use the wettability property of solid surfaces to create ideal saturation conditions for plants grown under microgravity conditions.

What are the underlying geometric and topological properties of periodic structures that guarantee large and stable porosity in nano-porous crystalline materials required for gas storage and efficient catalysis?

Of great recent interest is the subject of rotaxanes.  Rotaxanes are molecules  where one or more ring
components is threaded onto an axle that is capped on both ends with stoppers to prevent the rings from
falling off. These systems exhibit complex and fascinating physics.

This project will develop new methods for "intelligent" processing of 3D X-ray data (i.e. methods which use a priori information). These new methods will double as a non-traditional approach to automated image analysis; the project will compare this new approach with more traditional methods.

The CT lab hosts several 3D X-ray imaging systems, each generating ~240GB/day of data. The student will: (i) explore various data compression schemes; (ii) theoretically and empirically analyse interactions between data compression, X-ray image processing, and 3D analysis; (iii) develop new 3D imaging methods, based on successful data compression schemes

The ANU X-ray micro-tomography facility images over a broad spectrum (or range) of X-ray energies. The behaviour of specimens of interest at different X-ray energies can tell us a lot about its composition. This project will explore 1) techniques to image specimens at various X-ray spectral-bands, and 2) methods to analyse the results.

High-density objects in specimens of interest (e.g., metal-pins in biological specimens), can cause significant quality degradation of 3D images produced at our micro-tomography facility. This project explores/compares techniques in hardware to avoid the problem and techniques in software to correct for the problems caused by these objects.

What is a granular material from geometry and physics perspective? We'll try to understand the fundementals of granular materials in this project.

A variety of projects are available that will contribute to the enumeration and characterisation of 3-periodic network structures via the tiling of periodic minimal surfaces and thereby enhance our understanding of self-assembled structures in nature.

What are the underlying geometric and topological properties of periodic structures that guarantee large and stable porosity in nano-porous crystalline materials required for gas storage and efficient catalysis?

Exploration of simpler entangled structures in 3-space is surpisingly undeveloped. Here we plan to catalogue simpler knots, links and tangled nets via two-dimensional geometry. 

We aim to use  machine learning techniques to identify minerals and components of three dimensional images obtained from X-ray micro Computed Tomography (XCT).

Explore the geometry and symmetries of some periodic minimal surfaces and learn about their relevance in chemical and biological self assembly.  

The energy lansdscape of folded spheres, assuming elastic membranes and sticky inner surfaces, will be explored. 

The ANU has constructed an X-ray micro-computed tomography facility with a unique helical scanning configuration that enables tomographic images of extremely high quality to be produced.  This experimental project will work with theoreticians to image the evolution of time-changing samples with unprecented time resolution.

"Phantoms" are objects used for performance testing and/or calibration of 3D X-ray computed tomography (CT) systems. This project involves designing, 3D printing, and subsequently imaging phantoms at the micro-CT facility of the Applied Maths department.

The notion of protein secondary and tertiary structure is a loose one, that deserves a deeper look. Some proteins are considered to be highly structured in their usual folded state, others lack well defined structures. We are interested in the basic question "what is structure in a folded protein chain"?

Develop new methods for quantifying the shape of leaves and explore how these are correlated with their physical and biological properties.