Title:   Emergent topology of insulators.

Abstract:   Many insulators can be studied via finite matrix models. The joint Clifford spectrum, found using a non-commutative Dirac operator, is often an interesting hypersurface. Proving this uses one of ten KO or KU indices of finite-volume systems. Ongoing work with Schulz-Baldes compares these indices map to older indices for infinite volume systems. The mathematics here is closely related to recent work on emergent geometry in string theory.