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
Development of nanoporous materials for capture and release of oxygen. This project aims to develop new materials to make lighter, more efficient oxygen concentrators. The project will combine materials that can capture oxygen with particles that can be magnetically heated, making it possible to release the oxygen rapidly and efficiently when needed. Expected outcomes from this project include new composite materials and better understanding of how gases are trapped and released within composite ....Development of nanoporous materials for capture and release of oxygen. This project aims to develop new materials to make lighter, more efficient oxygen concentrators. The project will combine materials that can capture oxygen with particles that can be magnetically heated, making it possible to release the oxygen rapidly and efficiently when needed. Expected outcomes from this project include new composite materials and better understanding of how gases are trapped and released within composite materials. Benefits from this project may include oxygen concentrators that are more portable and have longer battery life, both with industrial and medical applications.Read moreRead less
Core-scale geodynamic rock-typing of reservoir rock. This project aims to develop a robust classification method for reservoir rock incorporating static, dynamic and mechanical attributes via multiscale digital core analysis using the concept of regional measures. Rock-types are used to populate reservoir models in a sophisticated routine of geological classification, spatial modelling and uncertainty analysis. Introducing high-resolution rock-types incorporating hydraulic properties and compact ....Core-scale geodynamic rock-typing of reservoir rock. This project aims to develop a robust classification method for reservoir rock incorporating static, dynamic and mechanical attributes via multiscale digital core analysis using the concept of regional measures. Rock-types are used to populate reservoir models in a sophisticated routine of geological classification, spatial modelling and uncertainty analysis. Introducing high-resolution rock-types incorporating hydraulic properties and compaction allows the development of a new generation of reservoir simulators. The project aims to derive a consistent high-resolution definition of rock-types incorporating compaction for petrophysical, geological and reservoir engineering purposes. This would greatly enhance our capacity to develop thinly layered reservoirs with direct applications in 4-D seismic reservoir characterisation and the development of unconventional reservoirs.Read moreRead less
Global properties of evolution on manifolds. The aim is to analyze global properties of solutions of parabolic equations on manifolds and in particular the equations associated with a family of Hormander fields.
Operator algebras as models for dynamics and geometry. Operator algebra is the mathematical theory which describes quantum physics and predicts how quantum systems will behave. Through this project, the researcher's recent discoveries in operator algebra will give us new insight into the dynamics and geometry - that is, the behaviour and shape - of the quantum world.