Logic, Abstraction and Construction. This is unashamedly a pure research project in logic. It aims to enhance our understanding of core issues in the nature of the world and how we can appropriately reason about it. Nevertheless, the techniques developed in logic inevitably find a home in applications in computer science, linguistics, mathematics and related fields. This project, in particular, will develop tools for realistically reasoning about the kinds of abstract or constructed objects on ....Logic, Abstraction and Construction. This is unashamedly a pure research project in logic. It aims to enhance our understanding of core issues in the nature of the world and how we can appropriately reason about it. Nevertheless, the techniques developed in logic inevitably find a home in applications in computer science, linguistics, mathematics and related fields. This project, in particular, will develop tools for realistically reasoning about the kinds of abstract or constructed objects one finds in mathematics, and with the vague or contradictory concepts we use in everyday discourse. In addition, the project will provide research training for postgraduate students, and it will strengthen an already internationally recognised research centre in philosophical logic.Read moreRead less
Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised impor ....Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised importance, this program will have direct implications in areas of condensed matter physics, quantum statistical mechanics, particle physics, complex systems, quantum information science and technology, quantum computation, engineered quantum systems and nanotechnology. Read moreRead less
Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems ....Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems of recognized importance, this program will have direct implications in condensed matter physics and will exert significant influence in areas such as quantum chemistry, high energy physics, quantum computing, quantum atom optics and nanotechnology.Read moreRead less