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
Discovery Early Career Researcher Award - Grant ID: DE230101035
Funder
Australian Research Council
Funding Amount
$368,818.00
Summary
Gravitational wave detectors for observing the Cosmic Dawn. This project aims to build upon Australia’s already pioneering research into the workings of the universe by addressing challenges facing future gravitational wave detectors. It will develop and utilise advanced new numerical models to generate new knowledge on large-scale precision interferometry and contribute towards the design of future detectors that are essential for gravitational wave astronomy to thrive. Expected outcomes are ne ....Gravitational wave detectors for observing the Cosmic Dawn. This project aims to build upon Australia’s already pioneering research into the workings of the universe by addressing challenges facing future gravitational wave detectors. It will develop and utilise advanced new numerical models to generate new knowledge on large-scale precision interferometry and contribute towards the design of future detectors that are essential for gravitational wave astronomy to thrive. Expected outcomes are new optimised designs for detectors and an array of innovative new open-source numerical models for exploring new designs of quantum optics experiments. This will benefit both Australian and international research teams in the global effort to realise the third generation of gravitational wave detectors.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE110100129
Funder
Australian Research Council
Funding Amount
$550,000.00
Summary
Equipment and instrumentation for breaking the quantum measurement barrier. This equipment will support Australia's partnership in the international effort to detect gravitational waves, which would allow the first direct observation of black holes and mark the beginning of exploration of the gravitational wave spectrum.
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.
Advanced eyesafe Er:YAG short pulsed lasers for remote sensing applications. This project will develop state-of-the-art tunable pulsed Er:YAG laser systems that will represent a significant advance for eyesafe remote sensing and range finder technologies. It will render obsolete, current state-of-the-art systems for laser ranging and enable remote sensing of a critical greenhouse gas.
Discovery Early Career Researcher Award - Grant ID: DE150101647
Funder
Australian Research Council
Funding Amount
$330,000.00
Summary
Symplectic solvmanifolds and their friends. Symplectic geometry is the mathematical foundation of classical mechanics and quantum theory. The symmetry group of a physical system determines the conservation laws governing its behaviour. This project aims to advance the understanding of a large class of these symmetry groups and their associated symplectic geometries, which are called symplectic solvmanifolds. The project aims to: determine the topological properties of symplectic solvmanifolds as ....Symplectic solvmanifolds and their friends. Symplectic geometry is the mathematical foundation of classical mechanics and quantum theory. The symmetry group of a physical system determines the conservation laws governing its behaviour. This project aims to advance the understanding of a large class of these symmetry groups and their associated symplectic geometries, which are called symplectic solvmanifolds. The project aims to: determine the topological properties of symplectic solvmanifolds as encoded in their fundamental groups; their geometric properties in the form of holonomy groups; and the algebraic properties of their symplectic algebras. The project endeavours to classify the building blocks of symplectic geometry.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE220101526
Funder
Australian Research Council
Funding Amount
$364,560.00
Summary
How Republics Die: Rome's democratic breakdown in the first century BCE. This project aims to use recent political science scholarship on democratic breakdown and the threat of a competitive authoritarian regime in Trump’s US to analyse the breakdown of the Roman Republic in the 50s BCE under Caesar and Pompey. Expected outcomes include a better understanding of how and why constitutional government collapsed in Rome, using language and concepts directly transferable to our own fragile democracy ....How Republics Die: Rome's democratic breakdown in the first century BCE. This project aims to use recent political science scholarship on democratic breakdown and the threat of a competitive authoritarian regime in Trump’s US to analyse the breakdown of the Roman Republic in the 50s BCE under Caesar and Pompey. Expected outcomes include a better understanding of how and why constitutional government collapsed in Rome, using language and concepts directly transferable to our own fragile democracy. This should benefit the study of Roman history at all levels and provide historians and political scientists with a unique dataset for analysing how a centuries-old democracy fell into authoritarian rule.Read moreRead less
Foundation technology for quantum measurement, sensing and computing. This project will advance quantum control of cold ions, atoms and diamond colour centres for application of quantum science to high-tech problems, from ion-based quantum computing to diamond-based quantum imaging inside living cells.
Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale i ....Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale imaging inside living human cells. This project aims to continue and develop this role.Read moreRead less
Banning ideas, burning books: the dynamics of censorship in classical antiquity. How to balance the right to free speech and dissent against other legitimate concerns is an issue that is always with us. This project explores neglected literary evidence from antiquity to study responses to controversial ideas in order to enhance the modern debate on the limits of freedom of speech.