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Mathematics and Physics Research

current research topics

• Signatures of topological insulators (the Bott index, local signatures in real space).
• Photonics.
• Higher order topological insulators.
• K-theory.
• C*-algebras.
• Uniform joint approximate diagonalization.

Research links

Supplemental files to "Surfaces and hypersurfaces as the joint spectrum of matrices" by DeBonis, Loring and Sverdlov.

ArXiv feed. Preprints of my papers are on the Arxiv and they are not always close to the final version.

CV with full list of publications.

My writings and citations listed at Google Scholar.

Real, sparse and skew-symmetric matrices, a sample.

A tutorial on the spectral localizer.

Funding

My research with Alex Cerjan, of the Nanostructure Physics department, the Center for Integrated Nanotechnologies, is supported by a subarward from Sandia National Laboratories. I also have funding from the U.S. Army Research Laboratory and the National Science Foundation.

Professor T. A. Loring, Department of Mathematics and Statistics