Earth Abundant Metal Complexes for Nitrogen Activation. This project aims to develop a range of complexes based around earth abundant metals that are capable of activating nitrogen (N2) at ambient pressure and temperature. The project expects to generate new knowledge in the area of organometallic chemistry, specifically with regards to molecular metal-metal bonding and subsequent reactivity towards the activation of nitrogen. The activation of atmospheric nitrogen is performed on a multi-millio ....Earth Abundant Metal Complexes for Nitrogen Activation. This project aims to develop a range of complexes based around earth abundant metals that are capable of activating nitrogen (N2) at ambient pressure and temperature. The project expects to generate new knowledge in the area of organometallic chemistry, specifically with regards to molecular metal-metal bonding and subsequent reactivity towards the activation of nitrogen. The activation of atmospheric nitrogen is performed on a multi-million tonne scale each year and is key to a number of industrial processes. As such, investigations into new and improved catalysts for this process would potentially bring huge financial benefits to industry, as well as benefiting the environment by reducing energy demand and associated climate change.Read moreRead less
Representations of arithmetic groups and their associated zeta functions. This project aims to investigate deep connections between number theory and group theory by studying linear actions of arithmetic groups. Arithmetic groups are used in geometry, dynamics, number theory and other areas of pure mathematics. This project will study their representations from two perspectives. First, it will establish properties of the associated zeta functions to resolve open problems about the asymptotic beh ....Representations of arithmetic groups and their associated zeta functions. This project aims to investigate deep connections between number theory and group theory by studying linear actions of arithmetic groups. Arithmetic groups are used in geometry, dynamics, number theory and other areas of pure mathematics. This project will study their representations from two perspectives. First, it will establish properties of the associated zeta functions to resolve open problems about the asymptotic behaviour of the dimensions of the irreducible representations. Second, it will explore the evolution of representations across families of groups under new induction and restriction functors, in analogy with creation and annihilation operators in physics. The project will enhance Australia's capacity in representation theory and group theory, the mathematics that underline symmetry in nature.Read moreRead less
Boryl Pincers and Beyond: Taming Borometallic Chemistry. Industrial applications of coordination complexes in catalysis reduce energy input and environmental impact but almost exclusively involve classical donors such as nitrogen, oxygen, sulfur and phosphorus. Boron, whilst prevalent and environmentally benign, is under-utilised in such applications, in part due to the high reactivity of the metal boron bond.
This research will seek to tame and then exploit the unique features of boron within p ....Boryl Pincers and Beyond: Taming Borometallic Chemistry. Industrial applications of coordination complexes in catalysis reduce energy input and environmental impact but almost exclusively involve classical donors such as nitrogen, oxygen, sulfur and phosphorus. Boron, whilst prevalent and environmentally benign, is under-utilised in such applications, in part due to the high reactivity of the metal boron bond.
This research will seek to tame and then exploit the unique features of boron within pincer ligand frameworks in metal coordination complexes, with particular attention focusing on, but not limited to catalytic alkyne metathesis.Read moreRead less
Geodetic groups: foundational problems in algebra and computer science. The project aims to resolve important and longstanding open problems in Geometric Group Theory and Theoretical Computer Science. Since the 1980s researchers have conjectured that the geometric property of being geodetic is equivalent to several purely algebraic, algorithmic, and language-theoretic characterisations.
The project team's expertise in geodesic properties of groups, the interaction between formal languages and g ....Geodetic groups: foundational problems in algebra and computer science. The project aims to resolve important and longstanding open problems in Geometric Group Theory and Theoretical Computer Science. Since the 1980s researchers have conjectured that the geometric property of being geodetic is equivalent to several purely algebraic, algorithmic, and language-theoretic characterisations.
The project team's expertise in geodesic properties of groups, the interaction between formal languages and groups, and the theory of rewriting systems, together with recent breakthroughs by the team ensures that significant results can be expected.
Benefits include training research students and postdoctoral researchers in cutting-edge techniques, and advancing fundamental knowledge in mathematics and computer science.Read moreRead less
Boron Nitrogen Isostere-Doped Organometallics for Molecular Electronics. The challenge of connecting two or more metals by a single chain of carbon atoms attracts intense study, thereby mimicking electronic circuitry at the molecular level. BN-Isosteric compounds involve selectively replacing (doping) carbon atoms with the elements boron (B) and nitrogen (N). These unprecedented materials should emulate and likely exceed the properties of all-carbon systems. This project aims to design and s .... Boron Nitrogen Isostere-Doped Organometallics for Molecular Electronics. The challenge of connecting two or more metals by a single chain of carbon atoms attracts intense study, thereby mimicking electronic circuitry at the molecular level. BN-Isosteric compounds involve selectively replacing (doping) carbon atoms with the elements boron (B) and nitrogen (N). These unprecedented materials should emulate and likely exceed the properties of all-carbon systems. This project aims to design and synthesise the first molecular BN-isosteric carbon-wire materials including examples based on metal-carbon multiple bonding. Expected outcomes beyond their isolation include high-level interrogation of the structure-function behaviour of their electrical and optical properties relevant to the technologies that will emerge.Read moreRead less