Autumn 2020 STAT 31610

Course: STAT 31610=CAAM 31610

Title: Mathematical Aspects of Electronic Structure of Materials

Instructor(s): Daniel Massatt

Teaching Assistant(s): TBA

Class Schedule: Sec 01: TR 1:00 PM–2:20 PM in TBA

Description: This course considers mathematical and numerical methods to approach electronic structure of materials through several hot-topic examples including topological insulators and incommensurate 2D materials in addition to classical systems such as periodic crystals. The course will begin with a discussion of the basics of quantum mechanics for those not yet familiar before moving to models designed for varying system sizes, from DFT to tight-binding. The theory and numerical tools for studying observables such as Chern numbers, conductivity, and density of states will be considered.

This course is designed to be approachable for graduate students with a mathematics, physics, or chemistry background.