Variation in the arginine vasopressin 1a receptor (AVPR1a) gene, the social environment, general health and wellbeing. The project aims to investigate how the arginine vasopressin 1a gene affects gene expression and influences social behaviour and ultimately health and wellbeing. This research will contribute to understanding the importance of individual differences in social policy and interventions aimed at improving health and wellbeing.
DNA methylation in insect social evolution. This project will investigate the evolutionary relationship between DNA methylation and the advanced sociality displayed by bees, ants and wasps. The project will map DNA methylation across the social insects and test whether it has coevolved with sociality. It will also determine how a vital social cue, the queen pheromone, influences the worker methylome. Finally, it will apply quantitative genetic and methylomic methods to wild insects, revealing pa ....DNA methylation in insect social evolution. This project will investigate the evolutionary relationship between DNA methylation and the advanced sociality displayed by bees, ants and wasps. The project will map DNA methylation across the social insects and test whether it has coevolved with sociality. It will also determine how a vital social cue, the queen pheromone, influences the worker methylome. Finally, it will apply quantitative genetic and methylomic methods to wild insects, revealing patterns of selection and inheritance in epigenetic and phenotypic traits. By combining genomic and evolutionary methods, the project will advance the ongoing debate about the importance of methylation to sociality and extreme phenotypic plasticity. It will contribute to a quantum leap in our understanding of DNA methylation and sociobiology and mark the first application of quantitative genetics to wild insects.Read moreRead less
Sex and mutations - testing the genic capture hypothesis. The proposed project will use a novel method to test a major outstanding theoretical problem in evolutionary biology and behavioural ecology. This will strengthen Australian research in this field and contribute to the growing international recognition it currently receives. The new methods developed will be useful to other researchers interested in mutation, sexual selection and the evolution and maintenance of sex. Part of the project w ....Sex and mutations - testing the genic capture hypothesis. The proposed project will use a novel method to test a major outstanding theoretical problem in evolutionary biology and behavioural ecology. This will strengthen Australian research in this field and contribute to the growing international recognition it currently receives. The new methods developed will be useful to other researchers interested in mutation, sexual selection and the evolution and maintenance of sex. Part of the project will be conducted in collaboration with a leading researcher in the UK. This will strengthen the links between institution in Australia and the UK.Read moreRead less
The Maintenance of Genetic Variation by Antagonistic Sexual Selection. The principle outcomes of my proposed research are fundamental knowledge, training of young scientists and the improvement of Australia's research capacity and profile. My research will have a major impact on two major branches of evolutionary biology that are seldom integrated - sexual selection and quantitative genetics. My research will enable me to establish myself as an independent researcher. Moreover, my collaborations ....The Maintenance of Genetic Variation by Antagonistic Sexual Selection. The principle outcomes of my proposed research are fundamental knowledge, training of young scientists and the improvement of Australia's research capacity and profile. My research will have a major impact on two major branches of evolutionary biology that are seldom integrated - sexual selection and quantitative genetics. My research will enable me to establish myself as an independent researcher. Moreover, my collaborations with one of the leading research laboratories in the UK, will teach me several modern techniques that I can disseminate to Australian students participating on the proposed project.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).
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