Linkage Infrastructure, Equipment And Facilities - Grant ID: LE140100087
Funder
Australian Research Council
Funding Amount
$410,000.00
Summary
Advanced Macromolecular Materials Characterisation Facility (AMMCF). Advanced macromolecular materials characterisation facility: The facility will allow precise characterisation of (bio)macromolecular materials, from chemical structures and composition as a function of size or biodistribution, to film thickness in multi-layer materials, to material hydrophobicity and permeability. Novel information derived from these state-of-the-art instruments is highly valuable in understanding structure-pro ....Advanced Macromolecular Materials Characterisation Facility (AMMCF). Advanced macromolecular materials characterisation facility: The facility will allow precise characterisation of (bio)macromolecular materials, from chemical structures and composition as a function of size or biodistribution, to film thickness in multi-layer materials, to material hydrophobicity and permeability. Novel information derived from these state-of-the-art instruments is highly valuable in understanding structure-property relationships, which are crucial for the development of the next generation of advanced materials with applications in electronics, optics, sensors, membranes, nanocoatings, biomaterials and polymer therapeutics. This facility underpins the efforts of the participating institutes in increasing the quality and quantity of research outcomes.Read moreRead less
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
New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will ....New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will assist beginners to navigate to the cutting edge of research through workshops, spring-schools and supervision. Benefits include the enhancement of Australia's position in the forefront of international research.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE130100168
Funder
Australian Research Council
Funding Amount
$1,235,000.00
Summary
Adelaide Nuclear Magnetic Resonance (NMR). Nuclear Magnetic Resonance (NMR) spectroscopy is a fundamental underpinning technology for the advancement of the many sciences which require determination of the structure of molecules. This project will significantly enhance and broaden NMR capabilities in South Australia and advance world-class research in chemistry, materials science, nanotechnology and biochemistry.
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0453743
Funder
Australian Research Council
Funding Amount
$237,654.00
Summary
Advanced Materials Laser Characterisation Facility. A networked laser facility spanning the University of Melbourne, Monash University, the University of Adelaide, and Flinders University, will be created by integrating new laser instrumentation with existing specialised infrastructure. The facility will provide chemists at the four institutions with the necessary equipment to collaboratively investigate and optimise the properties of a diverse array of advanced materials, including nanoparticle ....Advanced Materials Laser Characterisation Facility. A networked laser facility spanning the University of Melbourne, Monash University, the University of Adelaide, and Flinders University, will be created by integrating new laser instrumentation with existing specialised infrastructure. The facility will provide chemists at the four institutions with the necessary equipment to collaboratively investigate and optimise the properties of a diverse array of advanced materials, including nanoparticles, polymers, biomaterials, and artificial photosynthetic systems. The outcome will be a world-class research network, outfitted with a suite of sophisticated techniques that are not currently available at any single university, or through any other Australian institution or consortium.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE150100088
Funder
Australian Research Council
Funding Amount
$700,000.00
Summary
nano infrared and sub micron Raman spectroscopy and imaging. Nano infrared and sub micron raman spectroscopy and imaging: Near-field Infrared (IR) spectroscopy and imaging systems will be coupled to near-field scanning optical microscopes to provide IR spectroscopy and molecular images at less than 20 nanometre lateral resolution. This is unprecedented resolution for infrared fingerprinting and molecular imaging. For two months a year the spectroscopy system will be coupled to the IR beamline at ....nano infrared and sub micron Raman spectroscopy and imaging. Nano infrared and sub micron raman spectroscopy and imaging: Near-field Infrared (IR) spectroscopy and imaging systems will be coupled to near-field scanning optical microscopes to provide IR spectroscopy and molecular images at less than 20 nanometre lateral resolution. This is unprecedented resolution for infrared fingerprinting and molecular imaging. For two months a year the spectroscopy system will be coupled to the IR beamline at the Australian synchrotron, to provide full IR spectral coverage available to all Australian and New Zealand scientists. A confocal raman spectrometer will be upgraded to the ultraviolet to provide spectra at less than 150 nanometre resolution. These systems will provide a unique Australian resource for nanoscientists, biomedical researchers and materials scientists requiring molecular information on the nanoscale.Read moreRead less