Topological Classification of Insulators

Insulators that respect certain symmetry constraints exhibit topological phases that are robust against perturbation. In this talk, I will explain the mathematical setting of insulators and show that there is a one-to-one correspondence between the topological phases of a gapped, non-interacting 1D system and the one-dimensional column of the Kitaev periodic table.

Jui-Hui Chung - Bio

Jui-Hui is a third year graduate student in the Program in Applied & Computational Mathematics (PACM) advised by Jacob Shapiro. He is interested in mathematical physics of topological insulators where he uses tools from operator algebra and functional analysis to study their homotopy classifications. Jui-Hui received his undergrad and master degrees in physics from National Taiwan University, where he was advised by Ying-Jer Kao, and worked on computational physics.