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| 2004 - 2008 | PhD in Pure Math. – Albert-Ludwigs-Universität Freiburg | | 2008 - 2011 | Mathematical Institute, University of Oxford. Postdoctoral Research Fellow | | 2008 - 2011 | St Peter’s College, University of Oxford. Junior Research Fellow | | 2011 - 2016 | Max Planck Institute for Mathematics. Advanced Researcher (Research Professor) | | 2017 - Present | University of Sydney. Professor of Mathematics | | 2017 - 2022 | Hausdorff Centre for Mathematics. Bonn Research Fellow | | 2018 - Present | University of Sydney Mathematical Research Institute. Director |
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Research Interests:
perverse sheaves and the decomposition theorem,
modular representation theory, particularly from a geometric perspective, torsion in cohomology,
weights (e.g. Frobenius action and Weil conjectures or Hodge theory) and especially their interactions with perverse sheaves,
Soergel bimodules, their Hodge theory and relations to representation theory,
combinatorial models for perverse sheaves (e.g. Soergel bimodules, moment graphs, "intersection cohomology" of polytopes etc.),
algebra that looks geometric (e.g. the coinvariant algebra of H3),
categorification, diagrammatic algebra, "generators and relations",
higher categories (usually stopping at 2 or 3!), especially monoidal categories and their module categories,
Kazhdan-Lusztig theory and its modular versions (p-canonical basis etc.)
braid group actions and link homology,
microlocal approaches to perverse sheaves, characteristic cycles.
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Annales scientifiques de l’ÉNS (2017 - 2022)
Crelle (2018-2023)
Manuscripta Mathematica (2017)
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| 2005 - 2007 | Eleanor Sophia-Wood Travelling Scholarship – University of Freiburg, (awarded by the University of Sydney) | | 2015 | ''One case of very good wine'' – a 2009 bet with P. Fiebig on Lusztig’s conjecture | | 2016 | Chevalley Prize of the American Mathematical Society – | | 2016 | European Mathematical Society Prize | | 2016 | Clay Research Award | | 2016 | 2017 New Horizons in Mathematics Prize – (with Ben Elias) | | 2018 | Fellow of the Australian Academy of Sciences | | 2018 | Fellow of the Royal Society | | 2018 | Australian Mathematical Society Medal | | 2019 | Christopher Heyde Medal, Australian Academy of Science – | | 2020/2021 | Distinguished Visiting Professor,Institute for Advanced Study, Princeton |
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| 2018 | Plenary Speaker – International Congress of Mathematicians, Rio |
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Thorge Jensen (2018)
Leonardo Patimo (2018)
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