The role of low-energy excited states in solar-energy capture. This project aims to determine the nature and role of the lowest-energy excited states in most natural photosynthetic reaction centres and light-harvesting complexes. The lowest-energy states of bacterial reaction centres are critical to function and are used as a paradigm in artificial organic solar-energy capture, but for most photosystems their nature remains unknown. The project aims to answer the critical question of why they do ....The role of low-energy excited states in solar-energy capture. This project aims to determine the nature and role of the lowest-energy excited states in most natural photosynthetic reaction centres and light-harvesting complexes. The lowest-energy states of bacterial reaction centres are critical to function and are used as a paradigm in artificial organic solar-energy capture, but for most photosystems their nature remains unknown. The project aims to answer the critical question of why they do not actually prevent function. It is expected that both the outcomes obtained and techniques developed will be directly relevant to solar-energy device design. The project will apply five existing, complimentary and purposely built spectrometers as well as quantum electronic and nuclear simulation techniques to identify and characterise three key systems.Read moreRead less
HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming gen ....HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming generation involved in modern technological development. I will maintain my large collaborative effort with
leading mathematicians from the US, France and other countries, thus
helping to keep Australia at the forefront of a significant field of
research.Read moreRead less
HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation invol ....HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation involved in modern technological development. I will maintain my active collaborative effort with leading mathematicians from the US, France and other countries, thus helping to keep Australia at the forefront of a significant field of research.Read moreRead less
Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and ta ....Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and taking decisions in an increasingly complex market-place. The project is also of importance to the continued evolution of physics in this country contributing to the emergence of a strong new area of statistical physics concerned with the ?real world? in a manner hitherto unknown.Read moreRead less
HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electrom ....HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electromagnetic waves both inside and outside irregularly shaped surfaces, and their propagation through it.Read moreRead less
Harmonic analysis of differential operators in Banach spaces. This proposal aims to develop harmonic analysis (the mathematical tools used in digital music and photography) in new contexts. It focuses on boundary value problems (the theory behind medical or geological imaging) and stochastic equations (which describe phenomena with random components such as the behaviour of financial markets).
Friction and capillary forces. Reducing friction forces is important for improving the performance of moving components in devices, and also useful for relieving people from pains at joints. In ambient conditions, confined liquids have a great influence on friction forces because an attractive force is induced by capillary condensation and adsorption between the surfaces. The correlation between capillary and friction forces will be clarified by force measurements with newly developed surface fo ....Friction and capillary forces. Reducing friction forces is important for improving the performance of moving components in devices, and also useful for relieving people from pains at joints. In ambient conditions, confined liquids have a great influence on friction forces because an attractive force is induced by capillary condensation and adsorption between the surfaces. The correlation between capillary and friction forces will be clarified by force measurements with newly developed surface force apparatuses in various conditions. Theoretical interpretation of influences of molecular layered liquids between the sliding surfaces on frictional behaviour will be also given based on thermodynamics.Read moreRead less
Harmonic analysis of rough oscillations. This project intends to explore new perspectives in harmonic analysis. Harmonic analysis is a set of mathematical techniques used in many branches of science and engineering to analyse complex signals (functions). It is highly effective in modelling phenomena such as the propagation of electromagnetic waves, but it is currently limited to propagation occurring in a simple-enough medium. An intense international research effort in harmonic analysis is curr ....Harmonic analysis of rough oscillations. This project intends to explore new perspectives in harmonic analysis. Harmonic analysis is a set of mathematical techniques used in many branches of science and engineering to analyse complex signals (functions). It is highly effective in modelling phenomena such as the propagation of electromagnetic waves, but it is currently limited to propagation occurring in a simple-enough medium. An intense international research effort in harmonic analysis is currently under way to lift this limitation. This project is part of that effort, and aims to unite two of its fundamental directions of development: one focusing on the roughness of the medium; and one focusing on the interaction between highly oscillatory aspects of the function and the geometry of the medium.Read moreRead less
Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limit ....Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limitations and the convergence properties of the proposed
algorithms. The outcomes will be widely applicable in modelling of
large scale and complex data as is encountered in areas of
bioinformatics, physics and experimental studies of complex systems.
Read moreRead less
Drug discovery and structural biology by NMR spectroscopy. This project aims to extend the use of nuclear magnetic resonance (NMR) spectroscopy in rational drug development and protein structure analysis. A new chemical labelling approach provides detailed three-dimensional structure information of large protein-ligand complexes, needed for structure-based lead-compound development. New chemical and paramagnetic lanthanide tags for site-specific dual labelling of proteins will enhance this techn ....Drug discovery and structural biology by NMR spectroscopy. This project aims to extend the use of nuclear magnetic resonance (NMR) spectroscopy in rational drug development and protein structure analysis. A new chemical labelling approach provides detailed three-dimensional structure information of large protein-ligand complexes, needed for structure-based lead-compound development. New chemical and paramagnetic lanthanide tags for site-specific dual labelling of proteins will enhance this technology, which will assess target-drug interactions by in-cell electron paramagnetic resonance (EPR) spectroscopy. The techniques offer scope for accelerated drug development in the pharmaceutical industries.Read moreRead less