227 citations · 968 across the 42 of their papers we have counts for
47 papers
Transforming antiunitary symmetries to a normal form
Terry A. Loring
We look at explicit ways to bring one or two antiunitary symmetries into a standard form via unitary conjugation. We carefully reproduce Wigner's proof in two special cases, where…
Local topology for periodic Hamiltonians and fuzzy tori
Nora Doll, Terry Loring, Hermann Schulz-Baldes
A variety of local index formulas is constructed for quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints a…
Local markers for crystalline topology
Alexander Cerjan, Terry A. Loring, Hermann Schulz-Baldes
Over the last few years, crystalline topology has been used in photonic crystals to realize edge- and corner-localized states that enhance light-matter interactions for potential d…
Probing topology in nonlinear topological materials using numerical -theory
Stephan Wong, Terry A. Loring, Alexander Cerjan
Nonlinear topological insulators have garnered substantial recent attention as they have both enabled the discovery of new physics due to interparticle interactions, and may have a…
Even spheres as joint spectra of matrix models
Alexander Cerjan, Terry A. Loring
The Clifford spectrum is a form of joint spectrum for noncommuting matrices. This theory has been applied in photonics, condensed matter and string theory. In applications, the Cli…
Classifying topology in photonic heterostructures with gapless environments
Kahlil Y. Dixon, Terry A. Loring, Alexander Cerjan
Photonic topological insulators exhibit bulk-boundary correspondence, which requires that boundary-localized states appear at the interface formed between topologically distinct in…