Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using pow ....Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using powerful geometric tools from conformal geometry, the project will extend this to less symmetric spaces. The knowledge generated from this project will extend to more general geometric contexts providing a concrete setting for the study of the associated natural equations in curved spaces.Read moreRead less
Ubiquity of K-theory and T-duality. An abstract mathematical tool, called K-theory, has recently found application in two, not obviously related, areas of physics: the classification of D-branes in String Theory, and topological phases in Condensed Matter Theory. This project aims to advance the development of K-theory using ideas from physics. In particular, the project aims to generalise previous constructions, such as T-duality, to loop spaces, and to develop the K-theory relevant to the clas ....Ubiquity of K-theory and T-duality. An abstract mathematical tool, called K-theory, has recently found application in two, not obviously related, areas of physics: the classification of D-branes in String Theory, and topological phases in Condensed Matter Theory. This project aims to advance the development of K-theory using ideas from physics. In particular, the project aims to generalise previous constructions, such as T-duality, to loop spaces, and to develop the K-theory relevant to the classification of topological phases in strongly interacting systems. This project involves postgraduate training as a crucial tool in achieving its aims and enhances Australia's position at the forefront of international research.Read moreRead less
Applications of generalised geometry to duality in quantum theory. This project will undertake research into mathematics at the forefront of modern physics. The aim of the project is to develop a mathematical theory of T-duality, a phenomenon in quantum physics, using generalised geometry.
A large aperture Sodium lidar for investigating the middle atmosphere (10-100 km). We will create a world-leading sodium lidar for remote sensing of the mesosphere and lower thermosphere (MLT) regions of the atmosphere, by developing a novel solid-state sodium light source and using the Cangaroo-1 telescope. It will provide the most accurate measurements ever of the temperature profile and wind velocities in the MLT for much needed input into models of the atmosphere. The addition of this capabi ....A large aperture Sodium lidar for investigating the middle atmosphere (10-100 km). We will create a world-leading sodium lidar for remote sensing of the mesosphere and lower thermosphere (MLT) regions of the atmosphere, by developing a novel solid-state sodium light source and using the Cangaroo-1 telescope. It will provide the most accurate measurements ever of the temperature profile and wind velocities in the MLT for much needed input into models of the atmosphere. The addition of this capability to the suite of atmospheric monitoring instruments at the Buckland Park field station will create a major international research facility, unrivalled in the world.Read moreRead less
Supersymmetric quantum field theory, topology and duality. Supersymmetry is universally considered as one of the most fundamental concepts in physics, playing an increasingly central role in recent studies of quantum field theory and string theory. There is a corresponding development of supersymmetry in mathematics and this project will make advances both in 'superphysics' and 'supermathematics'.
Quantum Nanostructure Positioning for Breakthrough Quantum Photonics. The integration of quantum nanostructures in optical devices has been proposed to improve the efficiencies of existing optical devices and create new classes of quantum photonics. Limiting progress is that many nanostructures are made through bottom-up processes with inherently randomly distributions, making integration into devices problematic. Lithographic nanostructure fabrication is rarely an option as it leads to diminish ....Quantum Nanostructure Positioning for Breakthrough Quantum Photonics. The integration of quantum nanostructures in optical devices has been proposed to improve the efficiencies of existing optical devices and create new classes of quantum photonics. Limiting progress is that many nanostructures are made through bottom-up processes with inherently randomly distributions, making integration into devices problematic. Lithographic nanostructure fabrication is rarely an option as it leads to diminishes performance. Here, we propose a new and unique nanostructure positioning technique incorporated directly into the growth process. It interfaces bottom-up technologies with device fabrication, facilitating incorporation of nanostructures in photonic devices, and may be transferrable to a variety of other systems.Read moreRead less
Levitated Quantum Optomechanics with Trapped, Rotating Microparticles. This project will develop techniques for trapping, rotating and cooling microscopic particles in vacuum for exquisitely accurate studies of sensors and of fundamental physics at the classical-quantum interface - namely quantum vacuum friction. It will result in the establishment of an internationally recognised activity in rotational levitated optomechanics and expand Australia's presence in the field of quantum photonics. It ....Levitated Quantum Optomechanics with Trapped, Rotating Microparticles. This project will develop techniques for trapping, rotating and cooling microscopic particles in vacuum for exquisitely accurate studies of sensors and of fundamental physics at the classical-quantum interface - namely quantum vacuum friction. It will result in the establishment of an internationally recognised activity in rotational levitated optomechanics and expand Australia's presence in the field of quantum photonics. It has the potential for commercial benefit in areas including photonics, sensors and advanced manufacturingRead moreRead less
Switchable and stereocontrolled photoredox catalysis. This project aims to develop new catalytic synthetic reactions for the rapid and more direct functionalisation of organic compounds under mild conditions with the use of visible light. An integrated experimental and computational approach will be used to design potent visible-light photocatalysts that retain the advantages of standard photoredox catalysis but with the added ability to intercept and, thus control, reactive intermediates in sit ....Switchable and stereocontrolled photoredox catalysis. This project aims to develop new catalytic synthetic reactions for the rapid and more direct functionalisation of organic compounds under mild conditions with the use of visible light. An integrated experimental and computational approach will be used to design potent visible-light photocatalysts that retain the advantages of standard photoredox catalysis but with the added ability to intercept and, thus control, reactive intermediates in situ. This will enable the control of stereochemistry in photoredox reactions – not possible with standard catalysts - and establish other useful synthetic transformations. These strategies will make it easier to prepare valuable classes of organic molecules – efficiently, safely, and cost-effectively.
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Foundations of the nuclear force, nuclear structure and dynamics. This project aims to investigate a profound problem in physics: the structure and interactions of atomic nuclei in terms of their microscopic constituents. It is expected to generate new knowledge and improve our understanding of the structure and dynamics of nuclei, their formation in the cosmos, neutron star properties, and underpin future nuclear technologies. The project aims to leverage Australian capacity in nuclear theory t ....Foundations of the nuclear force, nuclear structure and dynamics. This project aims to investigate a profound problem in physics: the structure and interactions of atomic nuclei in terms of their microscopic constituents. It is expected to generate new knowledge and improve our understanding of the structure and dynamics of nuclei, their formation in the cosmos, neutron star properties, and underpin future nuclear technologies. The project aims to leverage Australian capacity in nuclear theory to produce the first predictive model with a modern realistic nuclear interaction. Significant benefits include an enhancement of research training capacity and new international links with the world's major laboratories. Read moreRead less
Three-Mode interactions and optical springs in high power optical cavities. Gravitational waves are tiny vibrations of space and time which carry vast energy. They will allow the first direct observation of black holes. To make frequent detections this project will harness the force of intense laser light, and use this force to improve the sensitivity of gravitational wave detectors.