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
Applications of generalised geometry to duality in quantum theory. This project will undertake research into mathematics at the forefront of modern physics. The aim of the project is to develop a mathematical theory of T-duality, a phenomenon in quantum physics, using generalised geometry.
Novel cell wall genes ripe for the picking. This project aims to investigate the role of recently discovered plant cellulose synthase-like CslM genes and to define the polysaccharide product associated with them. Successful identification of the polysaccharide is highly likely to increase our fundamental understanding of how cell walls are made, how cells stick together or fall apart as well as facilitating the training of the next generation of cell wall biologists in challenging molecular and ....Novel cell wall genes ripe for the picking. This project aims to investigate the role of recently discovered plant cellulose synthase-like CslM genes and to define the polysaccharide product associated with them. Successful identification of the polysaccharide is highly likely to increase our fundamental understanding of how cell walls are made, how cells stick together or fall apart as well as facilitating the training of the next generation of cell wall biologists in challenging molecular and biochemical techniques. This new knowledge could increase our understanding of fruit ripening, and how it might be manipulated. This could have significant downstream commercial benefits if applied to breeding programs of economically important fruit such as grapes, tomatoes and strawberries.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'.