Geordie Williamson
Geordie Williamson FAA | |
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Born | 1981 (age 42–43) |
Education | Chevalier College |
Alma mater | University of Sydney (BA) University of Freiburg (PhD) |
Awards | Clay Research Award (2016) New Horizons in Mathematics Prize (2017) |
Scientific career | |
Institutions | University of Sydney University of Oxford Max Planck Institute for Mathematics |
Thesis | Singular Soergel bimodules (2008) |
Website | www |
Geordie Williamson
Education
Educated at
Research and career
After his PhD, Williamson was a
Williamson deals with a geometric representation of group theory. With Ben Elias, he gave a new proof and a simplification of the theory of the
He is also known for several counterexamples. In 1980, Lusztig suggested a character formula for simple modules of reductive groups over fields of finite characteristic p. The conjecture was proved in 1994-95 by a combination of three papers, one by Henning Haahr Andersen, Jens Carsten Jantzen, and Wolfgang Soergel, one by David Kazhdan and George Lusztig and one by Masaki Kashiwara and Toshiyuki Tanisaki for sufficiently large group-specific characteristics (without explicit bound) and later by Peter Fiebig for a very high explicitly stated bound. Williamson found several infinite families of counterexamples to the generally suspected validity limits of Lusztig's conjecture. He also found counterexamples to a 1990 conjecture of Gordon James on symmetric groups. His work also provided new perspectives on the respective conjectures. In 2023 he was awarded an Australian Laureate Fellowship to further his research into fundamental symmetries.[10]
Publications
- Ben Elias; Geordie Williamson (2014), "The Hodge Theory of Soergel bimodules", Annals of Mathematics, 180 (3): 1089–1136, arXiv:1212.0791
- "Schubert calculus and torsion explosion (With Appendix by A. Kontorovich, P. McNamara, G. Williamson)", Journal of the American Mathematical Society, 30: 1023–1046, 2017, arXiv:1309.5055
- "Modular intersection cohomology complexes on flag varieties (With Appendix by Tom Braden)", Mathematische Zeitschrift, 272: 697–727, 2012, arXiv:0709.0207
- "On an analogue of the James conjecture", Representation Theory, 18: 15–27, 2014, arXiv:1212.0794
- Ben Elias; Geordie Williamson, "Kazhdan-Lusztig conjectures and shadows of Hodge theory", in Werner Ballmann; Christian Blohmann; Gerd Faltings; Peter Teichner; Don Zagier (eds.), Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch, Progress in Mathematics, vol. 319, Birkhäuser, arXiv:1403.1650
- Daniel Juteau; Carl Mautner (2014), "Parity sheaves", Journal of the American Mathematical Society, 27 (4): 1169–1212, arXiv:0906.2994
Awards and honours
In 2016, he received the Chevalley Prize of the American Mathematical Society
References
- ^ "Geordie Williamson".
- ^ Notices AMS, 2016, Nr.4, Chevalley-Preis für Williamson, pdf
- ^ "Professor Geordie Williamson". University of Sydney. 11 April 2013.
- ^ "Professor Geordie Williamson elected Fellow of the Royal Society". University of Sydney. 10 May 2018.
- ^ "Past Chev student to become Royal Society's youngest Fellow". ChevNews. Chevalier College. 14 May 2018. Retrieved 11 May 2019.
- ^ Elliott, Tim (13 July 2018). "Maths prodigy comes home to establish $5 million world-class maths centre". The Sydney Morning Herald. Retrieved 18 March 2022.
- OCLC 315589361.
- ^ Geordie Williamson at the Mathematics Genealogy Project
- ^ Kogoy, Peter (26 March 2010). "Cycling mourns the loss of James Williamson". The Australian.
- ^ "2023 Laureate Profile: Professor Geordie Williamson". Australian Research Council. Retrieved 4 July 2023.
- ^ "Geordie Williamson to Receive 2016 AMS Chevalley Prize". Max Planck Institute for Mathematics.
- ^ "Clay Mathematics Institute Research Awards".
- ^ "Professor Geordie Williamson". Australian Academy of Science.
- ^ "Australian Mathematical Society Medal".
- ^ "Leading neuroscientist Glenda Halliday named NSW Scientist of the Year". NSW Government. 2 November 2022. Retrieved 2 November 2022.