The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - t ....The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - the Askey table from the theory of hypergeometric orthogonal polynomials. A number of tractable PhD projects are suggested by this proposal.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE140101201
Funder
Australian Research Council
Funding Amount
$366,404.00
Summary
Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of ....Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of probability and analysis, and bring international attention to Australia as a hub of important research.Read moreRead less
Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of d ....Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of differential equations. Potential benefits include increasing the international stature of mathematics in Australia and improving the quality of the workforce.Read moreRead less
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.
Dhenia: A study of regionalism, population and society in Bronze Age Cyprus. The cemetery complex at Dhenia in Cyprus was in use for 2500 years, from the beginning of the Bronze Age (2,400 BCE) to the end of the Iron Age. This project is designed to sample this extensive site to assess its changing size and structure during periods of major social transformation. Comparative studies of contemporary sites will provide the basis for monitoring and explaining local, regional and island-wide relatio ....Dhenia: A study of regionalism, population and society in Bronze Age Cyprus. The cemetery complex at Dhenia in Cyprus was in use for 2500 years, from the beginning of the Bronze Age (2,400 BCE) to the end of the Iron Age. This project is designed to sample this extensive site to assess its changing size and structure during periods of major social transformation. Comparative studies of contemporary sites will provide the basis for monitoring and explaining local, regional and island-wide relationships, viewed in a context of expanding population and increasing interaction with the wider Mediterranean world. New data and approaches will contribute significantly to Cypriot archaeology and to broader archaeological theory.Read moreRead less
The Role Of Non-classical MHC Class I Molecules In Adaptive Immunity
Funder
National Health and Medical Research Council
Funding Amount
$443,834.00
Summary
Specialised proteins called MHC class Ia molecules (MHC-Ia) stimulate killer T cells to lyse virus infected cells. In contrast, the function of the closely related MHC-Ib is uncertain. Recent findings have demonstrated that MHC-Ib can also be recognised by T cells and this interaction is important in the control of viral infections. However, despite the similarity to MHC-Ia, it is unclear how this interaction occurs. This project aims to investigate how killer T cells recognise MHC-Ib molecules.
A study of the archaeology of Caucasian Iberia with implications for grazing management in Australia. This multi-disciplinary project will promote a younger generation of talented postgraduate and undergraduate students in a wide variety of fields, including archaeology, geomatic engineering, conservation of material culture, environmental and other natural sciences. The highlands of the Caucasus, located in a bioclimatic zone with a long history of alpine grazing, can also provide answers to qu ....A study of the archaeology of Caucasian Iberia with implications for grazing management in Australia. This multi-disciplinary project will promote a younger generation of talented postgraduate and undergraduate students in a wide variety of fields, including archaeology, geomatic engineering, conservation of material culture, environmental and other natural sciences. The highlands of the Caucasus, located in a bioclimatic zone with a long history of alpine grazing, can also provide answers to questions such as the effect of grazing on biodiversity and the rehabilitation of fragile ecosystems, which may inform management and conservation activities in analogous highland country in Australia. The project will also ensure that exhibitions illustrating the rich heritage of Caucasus will reach Australian shores.Read moreRead less
Special Research Initiatives - Grant ID: SR0354580
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Sustainable Futures through Understanding Past Human Responses to Environmental Change. This Network brings together researchers within archaeology and environmental sciences to develop cross-disciplinary and internationally comparative approaches to understanding past human responses to rapid environmental change. Integration of skills and perspectives from the Humanities and Sciences will create a generation of scholars able to work across different theoretical frameworks to formulate credible ....Sustainable Futures through Understanding Past Human Responses to Environmental Change. This Network brings together researchers within archaeology and environmental sciences to develop cross-disciplinary and internationally comparative approaches to understanding past human responses to rapid environmental change. Integration of skills and perspectives from the Humanities and Sciences will create a generation of scholars able to work across different theoretical frameworks to formulate credible responses to the challenge of creating sustainable societies in a changing world. Through a greater understanding of past societies' reactions to rapid environmental change, the Network will build on existing leading edge research and create a more informed guide to a sustainable future.Read moreRead less
In the Wake of the Sea Peoples, In the Footsteps of Goliath: Excavating the Philistine Site of Tell es-Safi/Gath. This project brings Australian research into the current scholarly debates on Philistine identity, a quickly growing sub-discipline in Mediterranean archaeology. Marginalized in the Bible as decadent, current research sees the Philistines as a cosmopolitan culture resulting from migration from Cyprus and the Aegean, and interaction with the local Canaanite population. In addition, Au ....In the Wake of the Sea Peoples, In the Footsteps of Goliath: Excavating the Philistine Site of Tell es-Safi/Gath. This project brings Australian research into the current scholarly debates on Philistine identity, a quickly growing sub-discipline in Mediterranean archaeology. Marginalized in the Bible as decadent, current research sees the Philistines as a cosmopolitan culture resulting from migration from Cyprus and the Aegean, and interaction with the local Canaanite population. In addition, Australian collaboration and interaction with Israeli colleagues and students will contribute to a more positive perception of the Jewish community in Australia, which has been the recent target of anti-Semitic activities as a result of the Israeli government's invasion of Gaza.Read moreRead less
Structural Studies On The Immune Effector Perforin: Developing Mechanism-based Inhibitors
Funder
National Health and Medical Research Council
Funding Amount
$1,116,594.00
Summary
Perforin is an essential weapon deployed by the human immune cells in order to destroy virally infected or cancerous cells. Despite this key role, unwanted or excessive perforin function can result in disease and can severely impact on successful treatment of leukaemia through bone marrow transplantation. This application aims to understand the molecular details of perforin function, and to apply this knowledge to develop perforin inhibitors.