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Improving decision-making processes in complex environments. This project will develop a new approach to understanding the factors involved in complex decision making. It will investigate the processes and mechanisms that individuals use to make decisions in complex environments. This project will also show that one way individuals deal with the problem of complexity is to frame their experiences aesthetically.
Rewriting the Social Contract: Technology, Ecology, Extremism. This project aims to develop a new approach to understanding the purpose and power of social contracts: implicit agreements among members of a society to cooperate for mutual benefit. Australia’s post-war prosperity has relied on a robust social contract, but it is under increasing strain today from new technological, environmental and socio-political realities. Using techniques from philosophy and social theory, this project seeks t ....Rewriting the Social Contract: Technology, Ecology, Extremism. This project aims to develop a new approach to understanding the purpose and power of social contracts: implicit agreements among members of a society to cooperate for mutual benefit. Australia’s post-war prosperity has relied on a robust social contract, but it is under increasing strain today from new technological, environmental and socio-political realities. Using techniques from philosophy and social theory, this project seeks to examine the main pressures on the social contract today, and to propose how it can be reinforced. Intended benefits include strengthening social cohesion through better understanding the causes of reduced wellbeing, social fragmentation and unrest, and through proposing ways to mitigate their costly effects.Read moreRead less
The quest for the 'I': reaching a better understanding of the self through Hegel and Heidegger. The conception of the 'I' is central to our lives. The more multicultural a country is, the more pressing becomes the question of the conception of the self. Focusing on the thought of Hegel and Heidegger, this project aims to offer a richer account that avoids individualism and allows thinking of the formation of the self as a collective enterprise.
Preventing child sexual abuse by understanding perpetrators’ motivations. This project aims to investigate, for the first time, the experiential motivations of child sexual abuse perpetrators. Using a novel theoretical and methodological approach, it expects to discover new knowledge about the motivations of child sexual abuse perpetrators. Expected outcomes include new theoretical explanations for child sexual abuse perpetration and transformed policy and practice measures to prevent and respon ....Preventing child sexual abuse by understanding perpetrators’ motivations. This project aims to investigate, for the first time, the experiential motivations of child sexual abuse perpetrators. Using a novel theoretical and methodological approach, it expects to discover new knowledge about the motivations of child sexual abuse perpetrators. Expected outcomes include new theoretical explanations for child sexual abuse perpetration and transformed policy and practice measures to prevent and respond to child sexual abuse in Australia and beyond. This should provide significant benefits, such as reduction of the widespread, severe and costly impacts of child sexual abuse, and an evidence base to support and enhance government initiatives such as the National Strategy to Prevent and Respond to Child Sexual Abuse. Read moreRead less
Topology through applications: geometry, number theory and physics. Topology is the part of geometry that remains invariant under deformation (as in the inflation of a balloon). We will apply this flexibility to investigate deep problems in several disciplines as diverse as number theory, geometry and the mathematics of string theory.
Algebraic categories and categorical algebra. Algebra is the study of operations, such as addition and multiplication, and the relationships between these operations. This project will study two exciting new branches of algebra, quantum algebra and postmodern algebra, which will lead to important advances in physics, geometry, and computing.
Groups, piecewise linear representations, and linear 2-representations. This project aims to address fundamental questions at the interface of two central areas of modern mathematics, geometric group theory and higher representation theory. Higher representation theory is a relatively new field, but its tools have already had a tremendous impact on mathematics. The project is expected to use these tools to address outstanding questions in geometric group theory. The expected outcomes of this pr ....Groups, piecewise linear representations, and linear 2-representations. This project aims to address fundamental questions at the interface of two central areas of modern mathematics, geometric group theory and higher representation theory. Higher representation theory is a relatively new field, but its tools have already had a tremendous impact on mathematics. The project is expected to use these tools to address outstanding questions in geometric group theory. The expected outcomes of this project include resolutions of open problems in the theory of Artin groups and the creation of a new subject, the dynamical theory of two-linear groups.Read moreRead less
Integral transforms and moduli theory. This project is in algebraic geometry, a branch of pure
mathematics. An overarching goal is a better understanding of the
algebra underlying the sophisticated geometries that arise in the
classification problems that are pervasive in mathematics and its
applications to physics. This new knowledge will then be applied to
further elucidate the geometry of these spaces.
Expected outcomes of this project include major progress in our
understanding of derived ....Integral transforms and moduli theory. This project is in algebraic geometry, a branch of pure
mathematics. An overarching goal is a better understanding of the
algebra underlying the sophisticated geometries that arise in the
classification problems that are pervasive in mathematics and its
applications to physics. This new knowledge will then be applied to
further elucidate the geometry of these spaces.
Expected outcomes of this project include major progress in our
understanding of derived categories of algebraic stacks via the
Fourier-Mukai transform.
The benefit will be to enhance the international stature of Australian
science.Read moreRead less
Universal structures in stringy extra dimensions. The project aims to study properties of extra dimensions in string theory by means of techniques from supersymmetric gauge theory. This new approach makes it possible to study areas in the landscape of stringy extra dimensions that have not been accessible before. The project expects to uncover new universal features. This will have significant impact on string theory and mathematics. Expected outcomes of this project include answers to conceptua ....Universal structures in stringy extra dimensions. The project aims to study properties of extra dimensions in string theory by means of techniques from supersymmetric gauge theory. This new approach makes it possible to study areas in the landscape of stringy extra dimensions that have not been accessible before. The project expects to uncover new universal features. This will have significant impact on string theory and mathematics. Expected outcomes of this project include answers to conceptual questions in string theory, new types of extra dimensions, and new methods to compute quantum corrections in string theory. This should provide significant benefits, such as interdisciplinary collaborations at the national and international level and a strengthening of string theory in Australia.Read moreRead less
Towards a new concrete theory of cohomology: a fundamental concept in geometry. This project will develop a geometric linearisation method related to Witt vectors, an exotic but important number system. This will let us take one more step towards solving a fifty-year-old mystery: to find the elusive universal linearisation in algebraic geometry, which is the linearisation that controls all the others.