Risk and Heterogeneity: AIDS and SARS Policymaking in China. This research will provide significant new knowledge on AIDS and SARS policymaking and implementation in China, which will help Australian policymakers and international agencies engage China on the very important issue of controlling the global spread of communicable diseases. Successfully engaging China is critical for the enhancement of global health security, because of China's enormous and increasingly internationally mobile popul ....Risk and Heterogeneity: AIDS and SARS Policymaking in China. This research will provide significant new knowledge on AIDS and SARS policymaking and implementation in China, which will help Australian policymakers and international agencies engage China on the very important issue of controlling the global spread of communicable diseases. Successfully engaging China is critical for the enhancement of global health security, because of China's enormous and increasingly internationally mobile population.Read moreRead less
Macdonald polynomials: Combinatorics and representations. This proposal is part of the aim to build a world class research team in algebraic combinatorics and combinatorial representation theory at the University of Melbourne, led by the two CI.
These fields are currently experiencing very rapid growth and development, and a strong Australia based team will further enhance the country's strong reputation in combinatorics and algebra.
The project will also provide a perfect training ground fo ....Macdonald polynomials: Combinatorics and representations. This proposal is part of the aim to build a world class research team in algebraic combinatorics and combinatorial representation theory at the University of Melbourne, led by the two CI.
These fields are currently experiencing very rapid growth and development, and a strong Australia based team will further enhance the country's strong reputation in combinatorics and algebra.
The project will also provide a perfect training ground for Higher Degree Students with interests in pure mathematics as well as computer
algebra and symbolic computation.Read moreRead less
Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level ....Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.Read moreRead less
The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interpla ....The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interplay between geometry and algebra to provide new insight into the physically significant problem of classifying unitary Lie algebra representations. This project is expected to facilitate interdisciplinary interaction leading to exciting developments across a range of fields.Read moreRead less
Lie superalgebra representations: a geometric approach. The concept of a Lie group provides a mathematical underpinning for the idea of symmetry in mathematics, physics and chemistry. The project aims to advance two fundamental problems related to this concept: classification of unitary representations of Lie superalgebras, and the prescribed Ricci curvature problem on Lie groups. The research builds on newly-discovered connections between these problems to achieve exciting progress in their res ....Lie superalgebra representations: a geometric approach. The concept of a Lie group provides a mathematical underpinning for the idea of symmetry in mathematics, physics and chemistry. The project aims to advance two fundamental problems related to this concept: classification of unitary representations of Lie superalgebras, and the prescribed Ricci curvature problem on Lie groups. The research builds on newly-discovered connections between these problems to achieve exciting progress in their resolution. Outcomes are expected to find applications across a range of fields, such as condensed matter physics, particle physics, quantum field theory and knot theory. Anticipated benefits include stronger links between different areas of science achieved through a deeper understanding of symmetry.Read moreRead less
Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathem ....Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathematical expertise of the two Chief Investigators is crucial to this project.Read moreRead less
Increasing inclusion in rural, generalist health services. The project aims to develop a 'toolkit' for health services to better serve minority groups. If health outcomes in Australia are to improve, health care must be provided to the poorest and sickest residents who need it most. However, these consumers will endure sickness rather than seek out services that are often exclusive and disrespectful. To provide accessible health care to disadvantaged residents, many of whom live rurally, all hea ....Increasing inclusion in rural, generalist health services. The project aims to develop a 'toolkit' for health services to better serve minority groups. If health outcomes in Australia are to improve, health care must be provided to the poorest and sickest residents who need it most. However, these consumers will endure sickness rather than seek out services that are often exclusive and disrespectful. To provide accessible health care to disadvantaged residents, many of whom live rurally, all health services need to be responsive to diverse cultures and identities. This project works with rural health services to implement service-wide changes and discover how health services can adapt to the needs of diverse consumers.Read moreRead less
Overcoming language barriers in healthcare: towards safe and effective communication when patients or clinicians use a second language. An international team of scholars will study language barriers in Australia's healthcare syste; arising from growing numbers of patients and clinicians not speaking English as their first language. The project's results will lay the foundation for future research and point to practical solutions.