Systems to Support Knowledge Creation in Learning Organisations. The proposed project will investigate the capacity of IT to support knowledge making for innovation in modern organisations. Prototypes of three flexible computer-based systems will be iteratively developed and evaluated for their support of knowledge workers in three different industries. The investigators are experienced in socio-technical approaches, which will be used to emphasise the integration between people and IT systems ....Systems to Support Knowledge Creation in Learning Organisations. The proposed project will investigate the capacity of IT to support knowledge making for innovation in modern organisations. Prototypes of three flexible computer-based systems will be iteratively developed and evaluated for their support of knowledge workers in three different industries. The investigators are experienced in socio-technical approaches, which will be used to emphasise the integration between people and IT systems. An interpretive study will determine how the systems can contribute to organisational learning, performance, and responsiveness to change. The outcomes will inform the designers of such systems and show Australian organisations how to gain competitive advantage by expanding their capacity to learn.Read moreRead less
Socio-technical determinants of agile, network-centric organisations. Many companies provide value for customers by exploiting information and communication technology in support of networks of self-organising employee teams. Such network-centric approaches to organisational structure and function are becoming desired in diverse government organisations and societal settings. On one hand, the civil society is increasing reliant on virtual networks and online communities. On the other, the mil ....Socio-technical determinants of agile, network-centric organisations. Many companies provide value for customers by exploiting information and communication technology in support of networks of self-organising employee teams. Such network-centric approaches to organisational structure and function are becoming desired in diverse government organisations and societal settings. On one hand, the civil society is increasing reliant on virtual networks and online communities. On the other, the military's imperative to learn how to fight smarter in the information age heralds a fundamental shift from platform-centred warfare to a mode with diffuseness of command and control. The findings of this research will enable the potential benefits of network-centrism to be realised in these nationally critical areas.Read moreRead less
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
Cognitive Features of Decision Support System Interfaces. The complex and time-constrained nature of the contemporary workplace is such that there is an increasing dependence on technology to assist operators in formulating accurate and timely decisions. This project is designed to ensure that the process through which this information is presented to operators is as efficient and effective as possible under the circumstances. Using an innovative approach to the development of such decision supp ....Cognitive Features of Decision Support System Interfaces. The complex and time-constrained nature of the contemporary workplace is such that there is an increasing dependence on technology to assist operators in formulating accurate and timely decisions. This project is designed to ensure that the process through which this information is presented to operators is as efficient and effective as possible under the circumstances. Using an innovative approach to the development of such decision support systems, the outcomes of this project will direct the development of this type of technology in the future and, ultimately, lead to more effective and more efficient decision-making under uncertainty.Read moreRead less
Graded semisimple deformations. Recent advances in representation theory have revealed beautiful new structures in the classical representation theory of the symmetric groups and Hecke algebras. These discoveries have provided us with new algebras, the cyclotomic KLR algebras, that encode deep properties of fundamental objects in algebraic combinatorics and geometric representation theory. The cyclotomic quiver Hecke algebras are central to several open problems in mathematics but they are still ....Graded semisimple deformations. Recent advances in representation theory have revealed beautiful new structures in the classical representation theory of the symmetric groups and Hecke algebras. These discoveries have provided us with new algebras, the cyclotomic KLR algebras, that encode deep properties of fundamental objects in algebraic combinatorics and geometric representation theory. The cyclotomic quiver Hecke algebras are central to several open problems in mathematics but they are still poorly understood, with even basic properties like their dimensions being unknown. This project will establish a new framework for studying these algebras that will remove the current obstacles in this field and alllow us to prove substantial new results that advance the theory.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
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.
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Totally disconnected groups in algebra and geometry. Mathematics research creates and develops new concepts for understanding the world. Group theory is a branch of mathematics based on our innate sense of symmetry. It was invented 200 hundred years ago and has grown into a language for analysing and classifying things ranging from wallpaper patterns to crystals, the fundamental particles of physics and Rubik's cube. The chief investigators have made significant breakthroughs in the study of sym ....Totally disconnected groups in algebra and geometry. Mathematics research creates and develops new concepts for understanding the world. Group theory is a branch of mathematics based on our innate sense of symmetry. It was invented 200 hundred years ago and has grown into a language for analysing and classifying things ranging from wallpaper patterns to crystals, the fundamental particles of physics and Rubik's cube. The chief investigators have made significant breakthroughs in the study of symmetry groups of networks, giving Australia an international lead in this research area. The project will develop the insights gained to make Australia a centre of expertise on these symmetry groups, which have applications to many areas including information and communication technology.Read moreRead less
The mathematics and language of engineering uncertainty, preference and utility. Australian engineering firms are principals in many high-profile projects. To defend their position, they must demonstrate both sound engineering and quality processes, which by international standards includes the traceability of decisions. Yet, there are few tools to vet the multitude of decisions that go into large-scale engineering works. This project aims to form mathematical models of decision-making based on ....The mathematics and language of engineering uncertainty, preference and utility. Australian engineering firms are principals in many high-profile projects. To defend their position, they must demonstrate both sound engineering and quality processes, which by international standards includes the traceability of decisions. Yet, there are few tools to vet the multitude of decisions that go into large-scale engineering works. This project aims to form mathematical models of decision-making based on the language modelling of what is written in engineering documentation about the bases of decisions. The new methods will help decision makers to pinpoint irrationalities in decisions and notify them of possible errors. The research can therefore be applied to important problems in the engineering sector such as risk management.Read moreRead less