Proper Group Actions in Complex Geometry. The results of the project will enhance Australia's performance in several key mathematical areas as well as mathematical applications to physics critical for expanding Australia's knowledge base and research capability. The project has strong international aspects, it will foster the international competitiveness of Australian research and establish long-term collaborations between Australian researchers and high profile world experts in the area of the ....Proper Group Actions in Complex Geometry. The results of the project will enhance Australia's performance in several key mathematical areas as well as mathematical applications to physics critical for expanding Australia's knowledge base and research capability. The project has strong international aspects, it will foster the international competitiveness of Australian research and establish long-term collaborations between Australian researchers and high profile world experts in the area of the proposal. It will create an opportunity for a Ph.D. graduate to be involved in top-class research as a Research Associate, and will attract Ph.D. and honours students thus enabling research training in a high-quality mathematical environment.Read moreRead less
Symmetries in CR-geometry. This project aims at investigating symmetries of geometric objects called CR-manifolds. It is expected to open new avenues for understanding such symmetries at the infinitesimal level and lead to ground-breaking results in CR-geometry. Expected outcomes include new methodology, solving long-standing problems, and establishing international research collaborations. The benefits are in enhancing the strength of the research in analysis and geometry performed in Australia ....Symmetries in CR-geometry. This project aims at investigating symmetries of geometric objects called CR-manifolds. It is expected to open new avenues for understanding such symmetries at the infinitesimal level and lead to ground-breaking results in CR-geometry. Expected outcomes include new methodology, solving long-standing problems, and establishing international research collaborations. The benefits are in enhancing the strength of the research in analysis and geometry performed in Australia, in fostering the international competitiveness of Australian research and in high-quality research training.Read moreRead less
Nilpotent associative algebras and spherical hypersurfaces. This project concerns pure basic research in mathematics and is based on an important recently discovered relationship between certain geometric and algebraic objects. In the project, this relationship will be applied in a novel way to solve several significant long-standing problems in the research area of complex geometry.
The Reconstruction and Recognition Problems for Hypersurface Singularities. This project concerns pure basic research in mathematics. It is centred around a surprising relationship between geometric objects called quasi-homogeneous isolated hypersurface singularities, and algebraic structures described as Artinian Gorenstein algebras. This relationship has not been fully understood despite numerous attempts by internationally based experts to shed light on it. Armed with a novel approach to Arti ....The Reconstruction and Recognition Problems for Hypersurface Singularities. This project concerns pure basic research in mathematics. It is centred around a surprising relationship between geometric objects called quasi-homogeneous isolated hypersurface singularities, and algebraic structures described as Artinian Gorenstein algebras. This relationship has not been fully understood despite numerous attempts by internationally based experts to shed light on it. Armed with a novel approach to Artinian Gorenstein algebras, this project proposes to clarify the nature of this relationship and utilise it for solving related geometric and algebraic problems. In particular, it aims at obtaining a groundbreaking result in the area of classical invariant theory.Read moreRead less
Symmetry and geometric structures. This is a fundamental research project in mathematics, especially concerned with the interaction between symmetry, differential equations, and geometry. Based on many classical and recently discovered instances, the aim of the project is to use symmetries to build and understand curved geometric structures from their flat counterparts.
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
Indian Textile Technology as archaeological evidence for population movements in Early Southeast Asia. This project uses archaeological textiles to investigate population movements in the late prehistoric period of Southeast Asia. It involves collaborative links between researchers from the Institute of Archaeology in Vietnam, the Centre for Southeast Asian Prehistory in Ho Chi Minh City, the Fine Arts Department of Thailand and museums and archaeological institutions in South India. It not only ....Indian Textile Technology as archaeological evidence for population movements in Early Southeast Asia. This project uses archaeological textiles to investigate population movements in the late prehistoric period of Southeast Asia. It involves collaborative links between researchers from the Institute of Archaeology in Vietnam, the Centre for Southeast Asian Prehistory in Ho Chi Minh City, the Fine Arts Department of Thailand and museums and archaeological institutions in South India. It not only profiles Australian expertise in Southeast Asia but facilitates high levels of communication and the exchange of ideas. Read moreRead less
Crossing the Green Sea: maritime mobility, trans-oceanic interaction and remote island colonisation in the tropical Indian Ocean. Australia is an Indian Ocean nation. It is strategically and politically important to understand our Indian Ocean neighbours, including small island nations such as the Maldives and Seychelles. Researching their history is part of this process. Building a collaborative research capacity between Australian and other Indian Ocean scholars, publishing the results of rese ....Crossing the Green Sea: maritime mobility, trans-oceanic interaction and remote island colonisation in the tropical Indian Ocean. Australia is an Indian Ocean nation. It is strategically and politically important to understand our Indian Ocean neighbours, including small island nations such as the Maldives and Seychelles. Researching their history is part of this process. Building a collaborative research capacity between Australian and other Indian Ocean scholars, publishing the results of research, building them into educational curricula, and maintaining a pool of Indian Ocean scholarly expertise in Australia is a national and community benefit. In addition, research results on the history of human colonisation and human impact on vulnerable environments will be significant to Australia as an island nation.Read moreRead less
Tracking 3000 years of agricultural adaptation to the resource poor, climate sensitive and remote Solomon Islands using biomarkers and palaeoecology. Establishing research programs with Pacific neighbours benefits Australia's relations with Pacific Island countries generally. This project applies novel research methods to understanding human adaptations to long-term environmental and climatic fluctuations. It will address the National Research Priority goal of responding to climate variability b ....Tracking 3000 years of agricultural adaptation to the resource poor, climate sensitive and remote Solomon Islands using biomarkers and palaeoecology. Establishing research programs with Pacific neighbours benefits Australia's relations with Pacific Island countries generally. This project applies novel research methods to understanding human adaptations to long-term environmental and climatic fluctuations. It will address the National Research Priority goal of responding to climate variability by advancing our understanding of recent climate change in the Australia/Pacific region. It will show that Australian researchers can play a significant role in understanding the spread of humans across the Pacific, and the environmental adaptations required by populations in resource depleted environments. It will increase collaboration between research institutions focusing on the Australia/Pacific region.Read moreRead less
Persistence and transformation in Ancestral Oceanic Society: the archaeology of the first 1500 years in the Vanuatu archipelago. Supporting research programs with smaller Pacific Island neighbours fosters Australia's relationship with those countries generally. The project will contribute to regional capacity building in the areas of archaeology, heritage studies and management. This research will enhance understanding of the region's deep human past and the way it articulates historically with ....Persistence and transformation in Ancestral Oceanic Society: the archaeology of the first 1500 years in the Vanuatu archipelago. Supporting research programs with smaller Pacific Island neighbours fosters Australia's relationship with those countries generally. The project will contribute to regional capacity building in the areas of archaeology, heritage studies and management. This research will enhance understanding of the region's deep human past and the way it articulates historically with the rest of the world. It will advance Australia's understanding of its nearest neighbours as well as provide those neighbours with information that goes towards strengthening national identity. The proposed research has direct relevance to ongoing debates within Australian and World archaeology and related disciplines, and fosters international collaborative links. Read moreRead less