Brief biography
I am an Assistant Professor at Peking University, Beijing International Center for Mathematical Research.
[Website at PKU with lecture notes]
[email: guochuanthiang (at) bicmr (dot) pku (dot) edu (dot) cn ]
Here is my CV.
Previously, I held postdoctoral and DECRA Research Fellow positions, funded by the Australian Research Council, and was based at the University of Adelaide.
My formal education was in mathematics and physics at the University of Oxford, University of Cambridge, and the National University of Singapore. I also worked briefly as a Research Assistant at the Centre for Quantum Technologies, NUS.
Research
I am a mathematical physicist. My research interest revolves around K-theory, index theory, noncommutative geometry, operator algebras, and functional analysis, usually in the physical contexts of quantum systems such as topological-geometric phases of matter.
Currently, I am investigating higher trace formulae in coarse geometry and index theory, for application in rigorously understanding "macroscopically quantized physics" (Lecture slides), as dramatically manifested in the famous quantized Hall conductivity.
The latter is a profound experimental phenomenon which, since 2019, gives humanity a universal mass standard via macroscopic and practical access to Planck's constant. See the essay by the discoverer of the quantum Hall effect himself.