Security Applications of Combinatorial Puzzles. This project provides a basis for improving the implementation and maintenance of key management systems. The application of discrete mathematics to information security will help safeguard Australia, will provide opportunities for Australians to take a leading role in an important area and will develop a research network, bridging both theoretical and practical aspects of mathematics and computer science. The project will enhance Australia's inter ....Security Applications of Combinatorial Puzzles. This project provides a basis for improving the implementation and maintenance of key management systems. The application of discrete mathematics to information security will help safeguard Australia, will provide opportunities for Australians to take a leading role in an important area and will develop a research network, bridging both theoretical and practical aspects of mathematics and computer science. The project will enhance Australia's international reputation by establishing collaborations with well-respected international mathematicians and computer scientists. The proposal contains topics suitable for the training of new graduates, allowing them to make high quality original research contributions in a novel and important area. Read moreRead less
Yield strength and plastic flow of heterogeneous materials: Designing optimal composites and porous materials. A major goal of materials science is to design materials with improved functionality at lower weight, cost and size. It is important to guide this expensive and time-consuming process with sophisticated computer modelling. In this project we aim to model how and why composite and porous materials fail when they are placed under stress. Our results will make materials design more efficie ....Yield strength and plastic flow of heterogeneous materials: Designing optimal composites and porous materials. A major goal of materials science is to design materials with improved functionality at lower weight, cost and size. It is important to guide this expensive and time-consuming process with sophisticated computer modelling. In this project we aim to model how and why composite and porous materials fail when they are placed under stress. Our results will make materials design more efficient by providing a valuable experimental interpretive tool and a theoretical map for material optimization. Our models will also provide crucial information needed for modelling the behavior of composites in applications.Read moreRead less
Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level ....Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.Read moreRead less
Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information. Quantum integrable systems have produced exciting results and techniques vital in the efforts to achieve the ultimate goal of understanding quantum science beyond perturbation. The proposal gathers four world experts from Australia, Japan and Russia to work on highly interdisciplinary projects designed to resolve fundamental problems in the field, which will underpin the development of emerging technologie ....Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information. Quantum integrable systems have produced exciting results and techniques vital in the efforts to achieve the ultimate goal of understanding quantum science beyond perturbation. The proposal gathers four world experts from Australia, Japan and Russia to work on highly interdisciplinary projects designed to resolve fundamental problems in the field, which will underpin the development of emerging technologies. As a result, Australian science will be seen to be at the forefront internationally, and the leading status of Australia in the field will be greatly strengthened. Early career researchers and PhD students will be trained as part of the project, important in enhancing Australia's capability to develop and retain scientific talent. Read moreRead less
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
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Integrable quantum systems: mathematical foundations for developing quantum science. Quantum science is an exciting and challenging area, one which will underpin the development of the next generation of computers and novel devices such as atom lasers. New mathematical techniques are being pursued, to formulate the frameworks that will provide deep insights into the complex nature of the physical principles governing this field, in order to fully realise the potential applications. This project ....Integrable quantum systems: mathematical foundations for developing quantum science. Quantum science is an exciting and challenging area, one which will underpin the development of the next generation of computers and novel devices such as atom lasers. New mathematical techniques are being pursued, to formulate the frameworks that will provide deep insights into the complex nature of the physical principles governing this field, in order to fully realise the potential applications. This project will enhance the scale of an established and internationally competitive program in mathematics research, producing new approaches to meet these demands. It will also provide opportunities for research training, important in ensuring that Australia is well equipped to play a leading role in future quantum science developments.
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Algebraic Structures and Correlations in Quantum Many-Body Systems. Algebraic structures such as quantized superalgebras are among the most important discoveries in mathematics and have applications in a wide range of physics. Internationally there has been recent excitement about vertex operators and representations of these algebraic structures and their applications to integrable systems and quantum field theory. I have made significant contributions to this rapidly expanding field, and will ....Algebraic Structures and Correlations in Quantum Many-Body Systems. Algebraic structures such as quantized superalgebras are among the most important discoveries in mathematics and have applications in a wide range of physics. Internationally there has been recent excitement about vertex operators and representations of these algebraic structures and their applications to integrable systems and quantum field theory. I have made significant contributions to this rapidly expanding field, and will capitalize on this success. I will develop a comprehensive theory of these mathematical structures and their applications in the construction of correlation functions and form factors, and in so doing write a definitive monograph on the subject.Read moreRead less
Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory. Experimental studies of aluminium grains which are a few nanometres in size have exposed unexpected physical characteristics, including pairing interactions which are responsible for bulk superconductivity. Our previous theoretical work has shown that precise information about these nanograins can be gained in the framework of the exact solution of the BCS model. This project will continue our work ....Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory. Experimental studies of aluminium grains which are a few nanometres in size have exposed unexpected physical characteristics, including pairing interactions which are responsible for bulk superconductivity. Our previous theoretical work has shown that precise information about these nanograins can be gained in the framework of the exact solution of the BCS model. This project will continue our work in this area with an emphasis on investigating the nature of Josephson tunneling between coupled nanograins. The results of this project will have important applications in emerging technologies such as the implementation of Josephson junctions of nanoscale size.Read moreRead less
Quantum many-body systems with long-range interactions. Integrable many-body systems with long-range interactions are the subject of intense research activity worldwide, because they involve powerful mathematics and have various physical applications ranging from condensed matter physics to high energy physics. This project involves intensive collaboration between leading mathematical physics groups in Japan and Australia on exciting new developments in the theory of such systems and their appli ....Quantum many-body systems with long-range interactions. Integrable many-body systems with long-range interactions are the subject of intense research activity worldwide, because they involve powerful mathematics and have various physical applications ranging from condensed matter physics to high energy physics. This project involves intensive collaboration between leading mathematical physics groups in Japan and Australia on exciting new developments in the theory of such systems and their applications to physics. The expected outcomes are new progress in an area at the cutting edge of mathematical physics and the establishment of strong research links between Japan and Australia.Read moreRead less
Timed Commitment Schemes to Smooth Internet Bottlenecks, Defend against Denial of Service Attacks, and Bypass Some Legal Problems of Enccryption. Bottlenecks on the Internet and Denial of Service attacks on a server are both caused by excessive demands made on a system. This proposal is to reduce the ill-effects of either by building on our previous theoretical work on strongboxes of combinatorial designs. In the case of bottlenecks, the demands are legitimate but badly timed, and our approach ....Timed Commitment Schemes to Smooth Internet Bottlenecks, Defend against Denial of Service Attacks, and Bypass Some Legal Problems of Enccryption. Bottlenecks on the Internet and Denial of Service attacks on a server are both caused by excessive demands made on a system. This proposal is to reduce the ill-effects of either by building on our previous theoretical work on strongboxes of combinatorial designs. In the case of bottlenecks, the demands are legitimate but badly timed, and our approach will redistribute the demands more evenly. In the case of Denial of Service attacks, the demands are malicious, and our approach will respond in such a way as to deplete the resources of the attacker.Read moreRead less