Tian LAN
condensed matter physicist and category theorist
I am an Assistant Professor at the Chinese University of Hong Kong.
During undergraduate years, I had the valuable opportunity to study both mathematics and physics at Tsinghua University. Guided by Liang Kong, I entered the realm of category theory and my fundamental philosophy was converted ever since: It is all about morphisms. For a physicist, morphisms may be replaced for physical probes, measurements or observations. An object, such as an electron, is an illusion born from all the probes upon it. In precise mathematical language, this is the Yoneda Lemma, an elementary but deep and central result in category theory
My PhD research later at Perimeter Institute, under the supervision of Xiao-Gang Wen, focused on the interplay between symmetry and topological order. I then moved to Institute for Quantum Computing as a Postdoctoral researcher and completed the works on the classification of 3+1D topological orders [I][II]. Recently, I am pursing a comprehensive higher categorical formulation for generalized symmetry and topological defects.
Check my papers on arXiv and Google Scholar.