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New Boron and Gadolinium Agents for Neutron Capture Therapy. The development of new drugs and treatments for cancer is highly important for improved health outcomes and the well-being of the community. This research has the potential to result in the development of new anticancer pharmaceuticals that will dramatically expand the clinical efficacy of a promising treatment for highly aggressive tumours. The innovative nature of this research will also contribute to Australia's science knowledge ....New Boron and Gadolinium Agents for Neutron Capture Therapy. The development of new drugs and treatments for cancer is highly important for improved health outcomes and the well-being of the community. This research has the potential to result in the development of new anticancer pharmaceuticals that will dramatically expand the clinical efficacy of a promising treatment for highly aggressive tumours. The innovative nature of this research will also contribute to Australia's science knowledge base, a key element in its future economic prosperity, and it will provide excellent training of young researchers for employment in the rapidly expanding field of drug design and development.Read moreRead less
Managing knowledge in telehealth projects: creating better solutions and improving patient care. Telehealth is the use of information and communication technologies for the delivery of healthcare and medical education across a distance. This project will propose more effective ways to support telehealth initiatives by managing the knowledge and expertise that is an integral part of such projects, resulting in improved outcomes.
Discovery Early Career Researcher Award - Grant ID: DE150100308
Funder
Australian Research Council
Funding Amount
$283,536.00
Summary
Branching and self-similarity in group actions. This project aims to develop the theory of groups of symmetries that have self-similarity (part of the object has the same structure as the whole) and branching (transformations may be performed on parts of the object independently of one another while preserving the overall structure). The focus will be on a class of topological groups in which these properties frequently occur, building on methods recently developed and their actions on trees and ....Branching and self-similarity in group actions. This project aims to develop the theory of groups of symmetries that have self-similarity (part of the object has the same structure as the whole) and branching (transformations may be performed on parts of the object independently of one another while preserving the overall structure). The focus will be on a class of topological groups in which these properties frequently occur, building on methods recently developed and their actions on trees and on the Cantor set. The project aims to significantly advance the theory of locally compact groups, as well as giving insights into the phenomena of self-similarity and branching as they occur in group theory and dynamical systems.Read moreRead less
Quantum-chemical design of stereoregular polyphosphines for nanowires. In this project we will be designing and producing stereoregular polyphosphines that can self-assemble gold and silver complexes that mimic the molecular architectures of DNA and certain proteins. The longer gold complexes will behave as insulated nanowires, and are an exciting prospect for the development of nanotechnological devices. The shorter silver and gold complexes are expected to have significant antitumour propertie ....Quantum-chemical design of stereoregular polyphosphines for nanowires. In this project we will be designing and producing stereoregular polyphosphines that can self-assemble gold and silver complexes that mimic the molecular architectures of DNA and certain proteins. The longer gold complexes will behave as insulated nanowires, and are an exciting prospect for the development of nanotechnological devices. The shorter silver and gold complexes are expected to have significant antitumour properties. This project, which will use a unique theoretical-experimental approach to design the stereoregular polyphosphines, will enhance Australia's international scientific reputation, and will contribute to technological advancement in the national priority areas of nanotechnology and biotechnology.Read moreRead less
Algorithmic approaches to braids and their generalisations. This project combines theoretical methods from pure mathematics with computational experiments in order to gain new knowledge. The objects of interest, so-called braid groups and generalisations, are important for many fields of mathematics, but also have applications for data security. Both the theoretical outcomes of this project and the algorithms developed will strengthen Australia as a centre of cutting-edge research in computatio ....Algorithmic approaches to braids and their generalisations. This project combines theoretical methods from pure mathematics with computational experiments in order to gain new knowledge. The objects of interest, so-called braid groups and generalisations, are important for many fields of mathematics, but also have applications for data security. Both the theoretical outcomes of this project and the algorithms developed will strengthen Australia as a centre of cutting-edge research in computational algebra. Moreover, the results can lead to new technologies for protecting confidential data, which are more efficient and hence cheaper to implement than existing alternatives. Secure identification of legitimate users in the context of online banking is one possible field of application.Read moreRead less
Group algorithms: Complexity, Theory and Practice. The symmetry of a mathematical or physical system is often best described by an abstract structure called a group, and groups are commonly represented as groups of permutations or matrices. In this project we shall design and analyse a general algorithmic framework for computing with finite groups. In the context of permutation groups and matrix groups we will produce prototype implementations. The proposed framework has the potential to revolut ....Group algorithms: Complexity, Theory and Practice. The symmetry of a mathematical or physical system is often best described by an abstract structure called a group, and groups are commonly represented as groups of permutations or matrices. In this project we shall design and analyse a general algorithmic framework for computing with finite groups. In the context of permutation groups and matrix groups we will produce prototype implementations. The proposed framework has the potential to revolutionise algorithmic group theory as it draws together theoretical and computational models of groups.Read moreRead less
Computing with large groups: probability distributions and fast randomised algorithms. Fast algorithms produced by the project will impact on the practical management of symmetry in large scale searches, which have important industrial applications. Hence the project addresses the Priority Goals Breakthrough Science and Smart Information Use. The project will enhance Australia's leading position in Computational Algebra. Implementations of our algorithms will be incorporated in the Computer Alge ....Computing with large groups: probability distributions and fast randomised algorithms. Fast algorithms produced by the project will impact on the practical management of symmetry in large scale searches, which have important industrial applications. Hence the project addresses the Priority Goals Breakthrough Science and Smart Information Use. The project will enhance Australia's leading position in Computational Algebra. Implementations of our algorithms will be incorporated in the Computer Algebra system Magma, based at the University of Sydney, distributed world-wide, and used intensively in research and teaching. The project will attract international and Australian graduate students and postdoctoral researchers, and strengthen research activities in Australia by enhancing already strong international collaborations. Read moreRead less
Advancing the Metal-Organic Chemistry of the Heavy Alkaline Earth Elements. The project will open up a new area in Australian metal based chemical research, deriving high value added products from the already existing exploitation of Australia's substantial alkaline earth metal mineral resources. Internationally recognised expertise in the design and manipulation of highly reactive chemical tools will contribute breakthrough science and innovation to the growing pharmaceutical, fine chemicals an ....Advancing the Metal-Organic Chemistry of the Heavy Alkaline Earth Elements. The project will open up a new area in Australian metal based chemical research, deriving high value added products from the already existing exploitation of Australia's substantial alkaline earth metal mineral resources. Internationally recognised expertise in the design and manipulation of highly reactive chemical tools will contribute breakthrough science and innovation to the growing pharmaceutical, fine chemicals and smart materials industry, with the potential to provide nascent and established Australian companies a competitive edge in new product development. Students will be trained in the necessary skills to succeed in and expand such technically demanding area of metal based chemistry.Read moreRead less
Scale-Multiplicative Semigroups and Geometry. Symmetry is treated mathematically through the algebraic concept of a group. Conversely, geometric representations play a crucial role in group theory. Many classes of groups, such as the connected groups that arise in physics, have useful geometric representations, but such a representation is lacking in the case of general disconnected groups. Certain disconnected groups, closely related in algebraic terms to the connected ones, do have a geometric ....Scale-Multiplicative Semigroups and Geometry. Symmetry is treated mathematically through the algebraic concept of a group. Conversely, geometric representations play a crucial role in group theory. Many classes of groups, such as the connected groups that arise in physics, have useful geometric representations, but such a representation is lacking in the case of general disconnected groups. Certain disconnected groups, closely related in algebraic terms to the connected ones, do have a geometric representation called a 'building'. This project aims to address the lack of a representation for general disconnected groups by extending the notion of a building to create combinatorial structures on which these groups act as symmetries.Read moreRead less
Totally disconnected groups and their algebras. Groups are algebraic objects which convey symmetry much as
numbers convey size. For example, the symmetries of a
crystal form a crystallographic group and the classification of
crystallographic groups describes all possible crystal
structures. Totally disconnected groups arise as
symmetries of network structures having nodes and a `neighbour'
relation, as models of crystals do, but which are not rigid like
crystals. Powerful techniques for a ....Totally disconnected groups and their algebras. Groups are algebraic objects which convey symmetry much as
numbers convey size. For example, the symmetries of a
crystal form a crystallographic group and the classification of
crystallographic groups describes all possible crystal
structures. Totally disconnected groups arise as
symmetries of network structures having nodes and a `neighbour'
relation, as models of crystals do, but which are not rigid like
crystals. Powerful techniques for analysing totally
disconnected groups have recently been discovered and this
project aims to develop those techniques. The resulting
significant advances in the understanding of symmetry will
extend the range of applications of
group theory.
Read moreRead less