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  • Funded Activity

    Defining Genetic And Epigenetic Variation During Early Development

    Funder
    National Health and Medical Research Council
    Funding Amount
    $996,075.00
    Summary
    We all began life with a set of genes inherited from our parents. However, it's now known that from the time we were in the womb onwards that genes can be turned off and on by the environment or even completely lost or gained. Even what your mother ate or how she behaved while she was pregnant could have influenced your future health. Because people are so different, we are studying the subtle differences between twins to tease out the factors that may influence our genes and our health.
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    Funded Activity

    Discovery Projects - Grant ID: DP180103150

    Funder
    Australian Research Council
    Funding Amount
    $371,950.00
    Summary
    Categorical symmetries in representation theory. This project aims to develop categorical symmetries of central objects in mathematics such as braid groups, the Hilbert scheme of points, and the Virasoro algebra. The concept of symmetry is an important organising principle in science. Representation theory is the field of mathematics concerned with studying symmetries. The problems proposed have connections to many different areas including algebra, geometry, topology, and mathematical physics. .... Categorical symmetries in representation theory. This project aims to develop categorical symmetries of central objects in mathematics such as braid groups, the Hilbert scheme of points, and the Virasoro algebra. The concept of symmetry is an important organising principle in science. Representation theory is the field of mathematics concerned with studying symmetries. The problems proposed have connections to many different areas including algebra, geometry, topology, and mathematical physics. This project expects to advance pure mathematics and provide potential benefit in many related fields.
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    Active Funded Activity

    Discovery Projects - Grant ID: DP210103397

    Funder
    Australian Research Council
    Funding Amount
    $345,000.00
    Summary
    Moduli, invariants, and algebraisation. This project is in pure mathematics. It aims to address gaps in our knowledge in the modern geometries and their associated algebraic structures that arise in classification problems that pervade mathematics and its applications. This project expects to generate new knowledge in modern algebra and geometry. Expected outcomes of this project include major progress in our understanding of invariants of derived categories of algebraic stacks and the relat .... Moduli, invariants, and algebraisation. This project is in pure mathematics. It aims to address gaps in our knowledge in the modern geometries and their associated algebraic structures that arise in classification problems that pervade mathematics and its applications. This project expects to generate new knowledge in modern algebra and geometry. Expected outcomes of this project include major progress in our understanding of invariants of derived categories of algebraic stacks and the relationship between algebraic and other geometries. The benefit will be to enhance the international stature of Australian science.
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