I am a second-year Ph.D. student in the
School of Mathematics and Statistics at
The University of Sydney, studying under Geordie Williamson and Nicolas Libedinsky. My associate supervisor is Anne Thomas. For my teaching timetable, see my people page on the school.
My CV is available
gbur0996 (at) uni.sydney.edu.au
+61 2 9351 5791
School of Mathematics and Statistics F07
University of Sydney NSW 2006
My research interests are in algebra and representation theory. My current research topic is the study of the periodic Hecke module of hyperbolic triangle groups and their 2-sided cells. My research plan is available here.
Publications and preprints
about this work which I presented at the p-Jones-Wenzl idempotents
Joint with Nicolas Libedinsky and Paolo Sentinelli, 352 (2019), 246–264.
In this paper we find a characteristic p-analogue of the classical recursion formula for the Jones-Wenzl idempotents. Here is an illustrative poster New Connections in Representation Theory conference.
Triangle group (3,3,4). Click
A beautiful proof that the Cantor set is not countable. (2 pages, iPad notes)
Some of these are notes I'd be happy to convert to TeX. I'll be updating them here as a backup.
Yang Zhang's homepage. He is a PhD student of the University of Sydney under the supervision of Gus Lehrer, and he is also my friend.