This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with jus

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators.

This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch’s Theorem which is applicable whenever trans

We give a pedagogical introduction to theory of topological insulators. Following an introduction to the role of topology in band theory, we discuss several exa

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Non