Australian Laureate Fellowships - Grant ID: FL170100052
Funder
Australian Research Council
Funding Amount
$2,107,500.00
Summary
Breakthrough methods for noncommutative calculus. This project aims to solve hard, outstanding problems which have impeded our ability to progress in the area of quantum or noncommutative calculus. Calculus has provided an invaluable tool to science, enabling scientific and technological revolutions throughout the past two centuries. The project will initiate a program of collaboration among top mathematical researchers from around the world and bring together two separate mathematical areas int ....Breakthrough methods for noncommutative calculus. This project aims to solve hard, outstanding problems which have impeded our ability to progress in the area of quantum or noncommutative calculus. Calculus has provided an invaluable tool to science, enabling scientific and technological revolutions throughout the past two centuries. The project will initiate a program of collaboration among top mathematical researchers from around the world and bring together two separate mathematical areas into a powerful new set of tools. The outcomes from the project will impact research at the forefront of mathematical physics and other sciences and enhance Australia’s reputation and standing.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL130100039
Funder
Australian Research Council
Funding Amount
$2,750,000.00
Summary
New stochastic models for Science, Economics, Social Science and Engineering. Stochastic, or random, phenomena abound in society. This project will combine advancement of the theory of stochastic models at a deep level with application to problems arising in science, economics, social science and engineering, and outreach to educate members of the public about random processes of significance in their lives.
Australian Laureate Fellowships - Grant ID: FL220100072
Funder
Australian Research Council
Funding Amount
$2,490,704.00
Summary
Mathematical Breakthroughs in Wave Propagation. This Fellowship proposal in theoretical mathematics aims to solve three major open problems in wave propagation. These are the long-time behaviour of nonlinear waves, including the behaviour and interaction of solitary waves; the propagation of waves in rough media; and the small-scale behaviour of interacting waves under the assumption of chaotic ray dynamics. The research aims to analyse wave equations that model problems in optical media and wav ....Mathematical Breakthroughs in Wave Propagation. This Fellowship proposal in theoretical mathematics aims to solve three major open problems in wave propagation. These are the long-time behaviour of nonlinear waves, including the behaviour and interaction of solitary waves; the propagation of waves in rough media; and the small-scale behaviour of interacting waves under the assumption of chaotic ray dynamics. The research aims to analyse wave equations that model problems in optical media and waveguides, medical and seismic imaging, and nano-electronic devices. Outcomes and benefits are expected in new mathematical theory, Australian research capability, better algorithms for numerically computing waves, and technological advances in communications, medical imaging, and seismic imaging.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL170100020
Funder
Australian Research Council
Funding Amount
$1,638,060.00
Summary
Advances in index theory and applications. The project aims to develop novel techniques to investigate Geometric analysis on infinite dimensional bundles, as well as Geometric analysis of pathological spaces with Cantor set as fibre, that arise in models for the fractional quantum Hall effect and topological matter, areas recognised with the 1998 and 2016 Nobel Prizes. Building on the applicant’s expertise in the area, the project will involve postgraduate and postdoctoral training in order to e ....Advances in index theory and applications. The project aims to develop novel techniques to investigate Geometric analysis on infinite dimensional bundles, as well as Geometric analysis of pathological spaces with Cantor set as fibre, that arise in models for the fractional quantum Hall effect and topological matter, areas recognised with the 1998 and 2016 Nobel Prizes. Building on the applicant’s expertise in the area, the project will involve postgraduate and postdoctoral training in order to enhance Australia’s position at the forefront of international research in Geometric Analysis. Ultimately, the project will enhance Australia's leading position in the area of Index Theory by developing novel techniques to solve challenging conjectures, and mentoring HDR students and ECRs.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL200100141
Funder
Australian Research Council
Funding Amount
$3,077,547.00
Summary
Real groups and the Langlands program. This program aims to address deep longstanding questions about real groups, algebraic objects which describe the basic symmetries occurring in nature. The study of these basic symmetries is central in all areas of mathematics and they come up in many applications. The expected outcomes include solving a central 50 year old problem of unitarity as well as making major progress in the Langlands program, a grand unification scheme of mathematics. The benefits ....Real groups and the Langlands program. This program aims to address deep longstanding questions about real groups, algebraic objects which describe the basic symmetries occurring in nature. The study of these basic symmetries is central in all areas of mathematics and they come up in many applications. The expected outcomes include solving a central 50 year old problem of unitarity as well as making major progress in the Langlands program, a grand unification scheme of mathematics. The benefits include raising Australia's international research profile, building a large network of international collaboration with top institutions in the world, and increasing capacity in number theory and algebraic geometry, which are playing an ever more important role in technology. Read moreRead less
Australian Laureate Fellowships - Grant ID: FL230100256
Funder
Australian Research Council
Funding Amount
$3,359,669.00
Summary
Unlocking the secrets of modular representations. This Fellowship aims to greatly increase our understanding of the fundamental symmetries of discrete structures, like those present in computer science and cryptography. The research will generate transformative new knowledge in pure mathematics concerning the representations of finite groups, problems that have been unsolved for over a century. Expected outcomes of this fellowship include new algorithms to compute far beyond what is currently p ....Unlocking the secrets of modular representations. This Fellowship aims to greatly increase our understanding of the fundamental symmetries of discrete structures, like those present in computer science and cryptography. The research will generate transformative new knowledge in pure mathematics concerning the representations of finite groups, problems that have been unsolved for over a century. Expected outcomes of this fellowship include new algorithms to compute far beyond what is currently possible and a new understanding of the arithmetic difficulties present. Key benefits will be seen in the development of an emerging technology with significant implications for mathematics, and the training of Australian scientists in sophisticated theory and large-scale computation in concert.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL100100063
Funder
Australian Research Council
Funding Amount
$1,423,222.00
Summary
An Innovative and Advanced Systems Approach for Full Life-Cycle, Low-Emissions Composite and Hybrid Building Infrastructure. This project will develop a 'green' sustainable composite steel-concrete building frame system that reduces greenhouse gas emissions throughout the life-cycle of building construction, usage and deconstruction. It will eliminate the use of ordinary Portland cement, which is a major carbon dioxide producer, by using geopolymer concrete made from fly-ash, and will use econom ....An Innovative and Advanced Systems Approach for Full Life-Cycle, Low-Emissions Composite and Hybrid Building Infrastructure. This project will develop a 'green' sustainable composite steel-concrete building frame system that reduces greenhouse gas emissions throughout the life-cycle of building construction, usage and deconstruction. It will eliminate the use of ordinary Portland cement, which is a major carbon dioxide producer, by using geopolymer concrete made from fly-ash, and will use economic thin-walled, high-strength steel sections. Deconstructability is provided through bolted joints and by using tensioned bolts as shear connectors between the steel skeleton and concrete flooring. This project is underpinned by the extensive background of the candidate, and provides a very timely solution to a major contemporary engineering challenge facing Australia.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL230100030
Funder
Australian Research Council
Funding Amount
$3,320,000.00
Summary
A walk on the wild side: understanding disease resistance across plants. Plants are in constant battle with pests and pathogens. Wild species host genetic diversity, providing sources of disease resistance, while the narrow genetic base of crop varieties leads to an increasing reliance on the unsustainable application of chemical fungicides. Here I will apply the latest genomics approaches to characterise disease resistance gene diversity across the plant kingdom. Comparison of gene diversity wi ....A walk on the wild side: understanding disease resistance across plants. Plants are in constant battle with pests and pathogens. Wild species host genetic diversity, providing sources of disease resistance, while the narrow genetic base of crop varieties leads to an increasing reliance on the unsustainable application of chemical fungicides. Here I will apply the latest genomics approaches to characterise disease resistance gene diversity across the plant kingdom. Comparison of gene diversity within and between plant families will improve our understanding of resistance gene evolution in wild species and the impact of domestication and breeding on resistance gene diversity. Translation of this knowledge will support breeding for crop resilience, leading to durable resistance and more sustainable crop productionRead moreRead less
Australian Laureate Fellowships - Grant ID: FL110100093
Funder
Australian Research Council
Funding Amount
$2,635,728.00
Summary
Making democratic governance work. The project will deepen and advance our understanding of the impact of democratic governance upon prosperity, welfare and peace in countries around the world since the late twentieth century.
Australian Laureate Fellowships - Grant ID: FL160100032
Funder
Australian Research Council
Funding Amount
$2,527,475.00
Summary
Ultralow latency wireless systems. Ultralow latency wireless systems. This project aims to develop theories and practical methods to design wireless communication systems for future generations of internet services. Emerging smart environments and infrastructure could solve major problems facing the world today, by saving energy, reducing pollution, improving health and increasing road safety. However, scientists to date do not know how to build wireless networks with almost zero latency and ult ....Ultralow latency wireless systems. Ultralow latency wireless systems. This project aims to develop theories and practical methods to design wireless communication systems for future generations of internet services. Emerging smart environments and infrastructure could solve major problems facing the world today, by saving energy, reducing pollution, improving health and increasing road safety. However, scientists to date do not know how to build wireless networks with almost zero latency and ultrahigh reliability, needed for machine-to-machine communications. An expected outcome of this project is new criteria and methodologies to design such wireless systems, which would affect future wireless systems and grids.Read moreRead less