Dr Garner's research is in the mathematical discipline of category theory. Category theory seeks to understand the forms of high-level reasoning found in pure mathematics, to codify these into abstract structures, and to understand how these structures may be applied to other parts of mathematics or to other disciplines such as computer science and theoretical physics. Dr Garner gained his PhD from the
University of Cambridge in 2006, and since then has attracted competitive grant funding of over $800,000 in a series of prestigious research fellowships: a European Union Marie Curie Fellowship in
Uppsala, Sweden (2006-08), a Research Fellowship of St John's College, Cambridge (2008-10), and now an ARC Australian Research Fellowship here at Macquarie (2011-15). His has 14 publications to his name, these spanning a wide range of mathematical disciplines, and has collaborators in Australia, Germany, Italy, the US, the UK, and the Czech Republic. He has received many invitations to speak at
international conferences and workshops and is currently involved with the supervision of two PhD students here at Macquarie.
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