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Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provid ....Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provide engineers and scientists with a theoretical base and simulation technique for the study and optimal control of impulsive systems and processes involving nonlinear singularity.Read moreRead less
Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing sta ....Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing state of the art analysis in supergravity and holographic dualities, the project will advance our understanding of quantum gravity, black holes, and cosmology placing Australia at the forefront of these important research fields.Read moreRead less
Relating string theory and particle physics. Currently, string theory is the only consistent candidate to provide unification of gravity with the other fundamental interactions. This project will discover a deeper interplay between string theory and elementary particle physics that would bring string theory closer to the real world.
A geometric theory for modern optimisation problems in control and estimation. Linear-quadratic and spectral factorisation problems play a crucial role in system and control theory as well as many important application areas. The success of the project will represent a significant advancement of state-of-the-art in these broad areas.
Optimal Control of Multi-Object System. Better understanding of multi-object systems developed from this research, in particular, optimal control algorithms for multi-object systems have several significant socio-economic benefits. Application areas that benefits from our research include aerospace applications such as radar, sonar, guidance, navigation, and air traffic control and non-aerospace areas such as image processing, oceanography autonomous vehicles and robotics, remote sensing, and bi ....Optimal Control of Multi-Object System. Better understanding of multi-object systems developed from this research, in particular, optimal control algorithms for multi-object systems have several significant socio-economic benefits. Application areas that benefits from our research include aerospace applications such as radar, sonar, guidance, navigation, and air traffic control and non-aerospace areas such as image processing, oceanography autonomous vehicles and robotics, remote sensing, and biomedical research. The sensor network discipline also stand to benefit from the understanding of multi-object system and control framework. Read moreRead less
Virtue with Aristotle: Recovering an Ancient Ethical Theory for Our Time. This project aims to show how Aristotle’s theory of virtue can guide our individual and collective attempts to live good human lives in challenging times. This project expects to produce the first comprehensive study of Aristotle’s concept of virtue in all three areas of human activity in which he applies it (moral action, theoretical cognition, and craft and artistic production) and to show its relevance for contemporary ....Virtue with Aristotle: Recovering an Ancient Ethical Theory for Our Time. This project aims to show how Aristotle’s theory of virtue can guide our individual and collective attempts to live good human lives in challenging times. This project expects to produce the first comprehensive study of Aristotle’s concept of virtue in all three areas of human activity in which he applies it (moral action, theoretical cognition, and craft and artistic production) and to show its relevance for contemporary ethical theory and practice. Expected outcomes of this project include enhanced understanding of the concepts of virtue and flourishing and their historical roots in Aristotle’s ethical writings. This should provide significant benefits, such as building our collective resilience.Read moreRead less
Finite geometry from an algebraic point of view. Bannai and Munemasa stated that Delsarte’s way of looking at many combinatorial problems in the framework of association schemes and combining design theory and coding theory in a single framework was a remarkable new approach and has been extremely successful. This project will apply the power of algebraic combinatorics to analyse finite geometric structures.
A southern hemisphere ground station for the Atomic Clock Ensemble in Space mission. Australia is aiming for membership in the high-profile space mission involving atomic clocks on-board the International Space Station. The mission will test aspects of special and general relativity, searching for tell-tale signs of new physics. This project will construct an atomic fountain clock and install a microwave-satellite link to meet the goal.
Advanced macromolecular engineering: novel approaches to self-directed assembly and vesicle formation. The aim of this project is to develop new approaches in nanotechnology for the preparation of well-defined polymeric particles. The research will result in the development of new methodology which has the potential to impact areas of commercial interest including those in the health-care sector.
Understanding collaboration between the arts and sciences. This project aims to undertake a detailed examination of how the arts and sciences can work together to address the complex challenges of contemporary life. This will be addressed by undertaking the first cultural history of the experiment. Experimentation is common to the arts and sciences, and thinking about the long history of experimental practices in both fields will help build a bridge between them. This project will examine in de ....Understanding collaboration between the arts and sciences. This project aims to undertake a detailed examination of how the arts and sciences can work together to address the complex challenges of contemporary life. This will be addressed by undertaking the first cultural history of the experiment. Experimentation is common to the arts and sciences, and thinking about the long history of experimental practices in both fields will help build a bridge between them. This project will examine in detail past and present collaboration. An expected outcome is the development of models to support solving of complex contemporary problems. It will also raise awareness about the importance of the arts to knowledge-making practices.Read moreRead less