A new approach to compressed sensing. Compressed sensing is an exciting new paradigm promising vastly improved signal sampling and reconstruction in a wide variety of applications including digital cameras, mobile phones and MRI machines. This project will explore a newly discovered approach to compressed sensing which uses mathematical arrays known as hash families.
Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive ....Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive roots to signal processing, cryptography and cybersecurity.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120100040
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Partitioning and ordering Steiner triple systems. Steiner triple systems are fundamental mathematical objects with many real-world applications. This project will develop deep new insights into these objects, resulting in systems allowing many users to simultaneously use a communication channel, and in schemes for preventing the loss of computer data due to hard disk failures.
Mass transport in high entropy alloys. This project aims to understand mass transport in high entropy alloys. Alloys of 5 to 13 components have technologically attractive mechanical properties. A knowledge of mass transport could control their stabilities and optimise their properties. This project will develop an atomistic theory and a phenomenological method for rapidly performing experiments, and experiment on two key high entropy alloys. The outcome of this research will be an in-depth under ....Mass transport in high entropy alloys. This project aims to understand mass transport in high entropy alloys. Alloys of 5 to 13 components have technologically attractive mechanical properties. A knowledge of mass transport could control their stabilities and optimise their properties. This project will develop an atomistic theory and a phenomenological method for rapidly performing experiments, and experiment on two key high entropy alloys. The outcome of this research will be an in-depth understanding of mass transport that is expected to fast-track these alloys to commercial uptake.Read moreRead less
Microstructural-Functional Effect of Silver Diammine Fluoride on Apatites. This project aims to develop a fundamental understanding at the nanostructural level of the factors that contribute to the enhanced mineralisation and mechanical properties of dentine and enamel following the treatment with silver diammine fluoride (SDF). A variety of advanced nanomechanical, tomographic and microscopic techniques will be used to characterise sound, carious and SDF treated tissue. The new biomechanical ev ....Microstructural-Functional Effect of Silver Diammine Fluoride on Apatites. This project aims to develop a fundamental understanding at the nanostructural level of the factors that contribute to the enhanced mineralisation and mechanical properties of dentine and enamel following the treatment with silver diammine fluoride (SDF). A variety of advanced nanomechanical, tomographic and microscopic techniques will be used to characterise sound, carious and SDF treated tissue. The new biomechanical evidence on the underlying mechanisms, alternative protocols, delivery systems enable to optimise the treatment. The scientific insights into arresting/repairing damage processes will provide critical data for developing minimal intervention protocols for pediatric and geriatric populations.Read moreRead less
Novel multiscale fibre composites for cryogenic space technologies. This project aims to develop new composite materials technologies for cryogenic space applications. Multifunctional nanomaterials with negative thermal expansion properties will be developed to simultaneously reduce thermal stress and improve fracture toughness, suppressing microcracking of fibre composites observed in current materials at cryogenic temperatures. New interleaves will be developed to act as gas barriers and provi ....Novel multiscale fibre composites for cryogenic space technologies. This project aims to develop new composite materials technologies for cryogenic space applications. Multifunctional nanomaterials with negative thermal expansion properties will be developed to simultaneously reduce thermal stress and improve fracture toughness, suppressing microcracking of fibre composites observed in current materials at cryogenic temperatures. New interleaves will be developed to act as gas barriers and provide strength. The composites will provide a new lightweight solution for storing cryogenic propellants such as liquid hydrogen and oxygen, for the next generation re-usable spacecraft. The outcomes of this project will enable Australian companies to produce and export specialised, high-performance composite products.Read moreRead less
Topological Design of Mechanical Meta-Structures. This project aims to establish a new computational design methodology to address current challenges facing creation of ultralight structures with ultra-high-performance characteristics. The latest technologies in structural topology optimization and its correlated numerical simulation and structural analysis methods will be unified towards an integrated design framework. Expected outcomes include an advanced generative design platform for discove ....Topological Design of Mechanical Meta-Structures. This project aims to establish a new computational design methodology to address current challenges facing creation of ultralight structures with ultra-high-performance characteristics. The latest technologies in structural topology optimization and its correlated numerical simulation and structural analysis methods will be unified towards an integrated design framework. Expected outcomes include an advanced generative design platform for discovering novel geometries to underpin new meta-structure architectures, validated by appropriate fabrication techniques considering their geometric complexity. Such capabilities will benefit defence, civil, aerospace, energy and transport industries that pursue competitive advantage through innovation.Read moreRead less
Novel quantitative sizing of inaccessible and hard-to-inspect defects to address the challenges posed by innovations in airframe design. Modern unitised aircraft structures cannot be reliably inspected using traditional techniques. This project will develop new techniques to quantify defects required for this innovation in aircraft component design. This research will improve the through-life support of future metallic and composite aircraft structures and improve air safety.
Biotransport design for engineering microenvironment in scaffolds. Tissue engineering signifies an exciting opportunity to solve shortage of transplantable tissues. This project targets a critical issue in engineering thick tissue and aims to introduce computational structural optimisation to biotransport problems. The optimal scaffold is expected to create a more desirable microenvironment for better tissue growth.
Collision Avoidance in Shipping Lanes via Intelligent Sensor Data Fusion . This project aims to develop an online maritime traffic monitoring system for reliable collision/contact avoidance that exploits complementary data from high-resolution airborne sensors and surface vessel sensors. Our approach is based on optimal scheduling and fusion of the sensor data and possibly other sources of data to construct a comprehensive dynamic picture of maritime traffic, in real-time. Moreover, the proposed ....Collision Avoidance in Shipping Lanes via Intelligent Sensor Data Fusion . This project aims to develop an online maritime traffic monitoring system for reliable collision/contact avoidance that exploits complementary data from high-resolution airborne sensors and surface vessel sensors. Our approach is based on optimal scheduling and fusion of the sensor data and possibly other sources of data to construct a comprehensive dynamic picture of maritime traffic, in real-time. Moreover, the proposed methodology enables quantification of confidence in the predictions. This will provide ship owners, directly to their vessels and/or at the fleet management centres, information such as weather reports, reliable collision/no-collision warnings and avoidance strategies, on-the-fly. Read moreRead less