

2004  2008  PhD in Pure Math. – AlbertLudwigsUniversität 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 


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,
KazhdanLusztig theory and its modular versions (pcanonical basis etc.)
braid group actions and link homology,
microlocal approaches to perverse sheaves, characteristic cycles.


Annales scientifiques de l’ÉNS (2017  2022)
Crelle (20182023)
Manuscripta Mathematica (2017)


2005  2007  Eleanor SophiaWood 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 


2018  Plenary Speaker – International Congress of Mathematicians, Rio 


Thorge Jensen (2018)
Leonardo Patimo (2018)


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