Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges ....Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges of methods, problems and solutions have emerged. This project aims to settle fundamental questions in the interaction between these two fields.Read moreRead less
Special Research Initiatives - Grant ID: SR0354466
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgradu ....Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgraduate training through workshops, summer schools and web based resources and build long-term international collaborations with EU networks and NSERC, NSF and EPSRC institutes as well as bringing together academic and industry leaders.Read moreRead less
Vapour phase detection of chemical warfare agents. This project aims to create luminescent plastic optoelectronic materials that can detect airborne chemical warfare agents, particularly nerve agents. Such agents are often odourless and invisible at lethal concentrations, so technology must detect and identify them before exposure. The intended outcomes are design rules for sensitive and selective materials that can be used in a handheld infield detector to sense chemical warfare agents based on ....Vapour phase detection of chemical warfare agents. This project aims to create luminescent plastic optoelectronic materials that can detect airborne chemical warfare agents, particularly nerve agents. Such agents are often odourless and invisible at lethal concentrations, so technology must detect and identify them before exposure. The intended outcomes are design rules for sensitive and selective materials that can be used in a handheld infield detector to sense chemical warfare agents based on the materials’ photophysical properties, and new analytical methods and sensing protocols. This research will be of interest to security agencies in Australia and internationally, and will better protect our military.Read moreRead less
Engineered nanoassmblies for energy conversion. This research will lead to development of clean energy technology that can compete with the traditional energy sources without subsidies, and facilitate long-term solution to the energy crisis and global warming. It will also bring significant benefit to Australian industries and economy and assist achievement of renewable energy target.
Designing and Building Novel 2D Hybrid Materials. The aim of this project is to use computational and experimental techniques to discover and fabricate new hybrid materials. Single-layer (2-D) materials like graphene have gained prominence and new ones are constantly being reported. Hybrid materials built from combinations of 2-D layers are appearing but progress is slow. This project is designed to increase the rate of discovery and fabrication of hybrids. The outcome would be an extensive data ....Designing and Building Novel 2D Hybrid Materials. The aim of this project is to use computational and experimental techniques to discover and fabricate new hybrid materials. Single-layer (2-D) materials like graphene have gained prominence and new ones are constantly being reported. Hybrid materials built from combinations of 2-D layers are appearing but progress is slow. This project is designed to increase the rate of discovery and fabrication of hybrids. The outcome would be an extensive database of materials properties, clear direction on how to control material properties, and manufacturing protocols to build a wide range of new materials.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
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'.