Dr Geordie Williamson

F07 - Carslaw Building
The University of Sydney


Biographical details

I completed my PhD in 2008 at the University of Freiburg under the supervision of Wolfgang Soergel. I then held an EPSRC postdoc at the University of Oxford working with Raphaël Rouquier, and was a Junior Research Fellow at St. Peter's College. I then spent five years at the Max Planck Institute in Bonn, as an Advanced Researcher (W2 research professor). I joined the Sydney University department in 2017.

Research interests

I am interested in algebra, geometry and representation theory. There are several basic questions (e.g. determining the dimensions or characters of reprentations of a Lie group or finite group of Lie type) which need extremely sophisticated techniques from algebraic geomety, Hodge theory or higher category theory to resolve. The richness and complexity contained in these simple questions is extraordinary.

Awards and honours

Clay research Award (2016)

European Mathematics Society Prize (2016)

2017 New Horizons Prize (with Ben Elias), (2016)

Chevalley Prize of the American Mathematics Society (2016)

Selected publications

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Journals

  • Riche, S., Soergel, W., Williamson, G. (2014). Modular Koszul duality. Compositio Mathematica, 150(2), 273-332. [More Information]
  • Williamson, G. (2014). On an analogue of the James conjecture. Representation Theory, 18(1), 15-27.
  • Vilonen, K., Williamson, G. (2013). Characteristic cycles and decomposition numbers. Mathematical Research Letters, 20(2), 359-366. [More Information]
  • Williamson, G., Braden, T. (2012). Modular intersection cohomology complexes on flag varieties. Mathematische Zeitschrift, 272(3-4), 697-727. [More Information]
  • Juteau, D., Mautner, C., Williamson, G. (2012). Perverse Sheaves and Modular representation theory. Séminaires & Congrès, , 313-350.
  • Williamson, G. (2011). Singular Soergel biomodules. International Mathematics Research Notices, 2011 (20), 4555-4632. [More Information]
  • Webster, B., Williamson, G. (2011). The Geometry of Markov Traces. Duke Mathematical Journal, 160(2), 401-419. [More Information]
  • Webster, B., Williamson, G. (2008). A geometric model for Hochschild homology of Soergel biomodules. Geometry and Topology, 12(2), 1243-1263. [More Information]

Conferences

  • Williamson, G. (2013). Checking Lusztig's conjecture around the Steinberg weight. Representations of Finite Groups Workshop, Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. [More Information]
  • Williamson, G. (2012). Some examples of parity sheaves. Enveloping Algebras and Geometric Representation Theory, Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. [More Information]

2014

  • Riche, S., Soergel, W., Williamson, G. (2014). Modular Koszul duality. Compositio Mathematica, 150(2), 273-332. [More Information]
  • Williamson, G. (2014). On an analogue of the James conjecture. Representation Theory, 18(1), 15-27.

2013

  • Vilonen, K., Williamson, G. (2013). Characteristic cycles and decomposition numbers. Mathematical Research Letters, 20(2), 359-366. [More Information]
  • Williamson, G. (2013). Checking Lusztig's conjecture around the Steinberg weight. Representations of Finite Groups Workshop, Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. [More Information]

2012

  • Williamson, G., Braden, T. (2012). Modular intersection cohomology complexes on flag varieties. Mathematische Zeitschrift, 272(3-4), 697-727. [More Information]
  • Juteau, D., Mautner, C., Williamson, G. (2012). Perverse Sheaves and Modular representation theory. Séminaires & Congrès, , 313-350.
  • Williamson, G. (2012). Some examples of parity sheaves. Enveloping Algebras and Geometric Representation Theory, Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. [More Information]

2011

  • Williamson, G. (2011). Singular Soergel biomodules. International Mathematics Research Notices, 2011 (20), 4555-4632. [More Information]
  • Webster, B., Williamson, G. (2011). The Geometry of Markov Traces. Duke Mathematical Journal, 160(2), 401-419. [More Information]

2008

  • Webster, B., Williamson, G. (2008). A geometric model for Hochschild homology of Soergel biomodules. Geometry and Topology, 12(2), 1243-1263. [More Information]

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