Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using pow ....Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using powerful geometric tools from conformal geometry, the project will extend this to less symmetric spaces. The knowledge generated from this project will extend to more general geometric contexts providing a concrete setting for the study of the associated natural equations in curved spaces.Read moreRead less
Unravelling the dominant drivers of ion specificity. This project aims to understand what governs the sensitivity of many technological and biological processes to the precise nature of the salt present in solution. The term ‘ion-specific’ encompasses all the circumstances in which the influence of a salt in solution depends on the precise chemical nature of the salt, not just the electrical charge on the ions that form the salt. As such, ion-specific effects abound and have important consequenc ....Unravelling the dominant drivers of ion specificity. This project aims to understand what governs the sensitivity of many technological and biological processes to the precise nature of the salt present in solution. The term ‘ion-specific’ encompasses all the circumstances in which the influence of a salt in solution depends on the precise chemical nature of the salt, not just the electrical charge on the ions that form the salt. As such, ion-specific effects abound and have important consequences in most situations involving solutions, including cellular functions and battery technology. This project will enable us to understand and control the influence of specific ions, building on our recently described fundamental ion-specific series with colloid science experiments and quantum simulations. This project should overcome current challenges in predicting ion-specific effects leading to progress in a wide variety of applications of colloid and interface science, from sensor interfaces to self-assembly.Read moreRead less
Laser emission at the limit of glass transparency using nanocrystal doping . We will create a new composite glass providing strong fluorescence which fully exploits the high transmission of glass in the mid-infrared. When combined with emerging rare earth ion transitions and precise excitation processes, this project will help solve an important problem in optics; that the overall efficiency and power produced from deep mid-infrared light sources is not sufficient for all industries. The primary ....Laser emission at the limit of glass transparency using nanocrystal doping . We will create a new composite glass providing strong fluorescence which fully exploits the high transmission of glass in the mid-infrared. When combined with emerging rare earth ion transitions and precise excitation processes, this project will help solve an important problem in optics; that the overall efficiency and power produced from deep mid-infrared light sources is not sufficient for all industries. The primary outcome will be a series of robust fibre-based gain modules suitable for high power and very short optical pulses in the mid-infrared. These light sources will beneficially impact medicine, defence, sensing and manufacturing providing excellent opportunities for increasing Australian productivity and global competitiveness. Read moreRead less