New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are ....New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are at the limit of the range of mathematical techniques. Solving these problems is expected to influence non-commutative analysis.Read moreRead less
Physical realisation of enriched quantum symmetries. This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory.
The main goal is to understand the lands ....Physical realisation of enriched quantum symmetries. This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory.
The main goal is to understand the landscape of topological and conformal field theories, laying the foundation for new technologies based on topological order. This timely project capitalises on the recent arrival of subfactor experts in Australia, and builds capacity in mathematical research and international links in a cutting edge field.Read moreRead less
Topological stability from spectral analysis. The aim is to use mathematical scattering theory to find and study new topological features of the spectra of linear transformations on Hilbert space. The significance derives from mathematical models of low temperature conducting quantum materials. These have revealed `topological phases of matter' that are stable with respect to a range of variations in the parameters that determine the system. The stability is desired for applications to quantum ....Topological stability from spectral analysis. The aim is to use mathematical scattering theory to find and study new topological features of the spectra of linear transformations on Hilbert space. The significance derives from mathematical models of low temperature conducting quantum materials. These have revealed `topological phases of matter' that are stable with respect to a range of variations in the parameters that determine the system. The stability is desired for applications to quantum devices. Our results will give topological stability from the scattering spectrum, a feature not previously seen. The benefits stem from new results in mathematical scattering theory with a primary novelty being the analysis of ``zero energy resonances'' in mathematical models of graphene.Read moreRead less
Early Career Industry Fellowships - Grant ID: IE230100048
Funder
Australian Research Council
Funding Amount
$466,097.00
Summary
Ammonium-selective membranes to shift water industry into circular economy. The project aims to develop ammonium-selective membranes which are urgently needed in Australian key industries for sustainable ammonia recovery. The project expects to construct the membranes to achieve desirable pore size and surface functionality for fast and selective ammonia transport. The developed membranes should make ammonia recovery from wastewater more effective and sustainable, leading to the healthy waterway ....Ammonium-selective membranes to shift water industry into circular economy. The project aims to develop ammonium-selective membranes which are urgently needed in Australian key industries for sustainable ammonia recovery. The project expects to construct the membranes to achieve desirable pore size and surface functionality for fast and selective ammonia transport. The developed membranes should make ammonia recovery from wastewater more effective and sustainable, leading to the healthy waterway and reduced energy for both ammonia production and removal. Recovered ammonia expects to produce valuable products, supporting agriculture industry and hydrogen economy. The developed membranes should enable water industry's shift into circular economy, providing significant economic and environmental benefits to Australia.Read moreRead less
Industrial Transformation Research Hubs - Grant ID: IH230100005
Funder
Australian Research Council
Funding Amount
$5,000,000.00
Summary
ARC Research Hub in Zero-emission Power Generation for Carbon Neutrality. This Hub aims to develop sustainable zero-emission power generation technologies to transform gaseous waste (mainly CO2) from our energy and manufacturing sectors into valuable products and create scalable pathways to market for driving industry transformation. This Hub expects to harvest renewable energy from the environment by using zero-emission power generators and then store it in green and safer batteries for convert ....ARC Research Hub in Zero-emission Power Generation for Carbon Neutrality. This Hub aims to develop sustainable zero-emission power generation technologies to transform gaseous waste (mainly CO2) from our energy and manufacturing sectors into valuable products and create scalable pathways to market for driving industry transformation. This Hub expects to harvest renewable energy from the environment by using zero-emission power generators and then store it in green and safer batteries for converting gaseous waste from sectors that cannot easily avoid emission into useful chemicals, which in turn realize carbon neutrality and negativity. The outcomes of this Hub are likely to be transformative for industry, the economy, and society in new-type renewable energy resources through decreasing environmental pollutants. Read moreRead less
High performance metal oxide inks for printable memory arrays . This project aims to develop next generation printable memory devices with low cost and excellent stability. The goal will be achieved by developing a new class of metal oxide nanomaterials based inks and large scale printing technology, through optimizing the synthesis, printing process and electrode configuration. The expected outcomes will be new electronic materials for a wide range of end uses in flexible electronics, significa ....High performance metal oxide inks for printable memory arrays . This project aims to develop next generation printable memory devices with low cost and excellent stability. The goal will be achieved by developing a new class of metal oxide nanomaterials based inks and large scale printing technology, through optimizing the synthesis, printing process and electrode configuration. The expected outcomes will be new electronic materials for a wide range of end uses in flexible electronics, significant advances in energy efficient data storage devices, and commercialisation of the technology to Australian industries.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE200100032
Funder
Australian Research Council
Funding Amount
$600,000.00
Summary
Advanced Multifunctional Electro-Opto-Magneto-Mechanical Analysis Platform. This project aims to build an advanced multi-functional Electro-Opto-Magneto-Mechanical analysis platform for characterizing nanomaterials and micro-/nano-scale devices. This platform expects to provide rich and unique characterization capabilities (electrical, optical, magnetic and mechanical) for hybrid devices with low temperature and high vacuum environment. The expected outcomes include multidisciplinary research co ....Advanced Multifunctional Electro-Opto-Magneto-Mechanical Analysis Platform. This project aims to build an advanced multi-functional Electro-Opto-Magneto-Mechanical analysis platform for characterizing nanomaterials and micro-/nano-scale devices. This platform expects to provide rich and unique characterization capabilities (electrical, optical, magnetic and mechanical) for hybrid devices with low temperature and high vacuum environment. The expected outcomes include multidisciplinary research collaborations and a wide range of next-generation technologies including non-invasive medical instruments, wearable devices, communication, quantum information systems and energy storage solutions. This should enable local design and construction of hybrid devices and advance the growth of local high-technology industries.Read moreRead less