# Postdoc opening in C*-algebras related to physics

My work on K-theory and almost commuting matrices with physicists at
Sandia National Labs is growing. It is time to add a mathematics postdoc to
the mix. As such, UNM seeks "a postdoctoral fellow
with research experience in some area of C*-algebras, such as K-theory
or semiprojectivity, that is connected to current research in
topological physics" with the

full ad at the UNM job site.

# Applied Math, Tenure Track, opening at UNM

Applied mathematicians whose work relates to my reserach with Alex Cerjan
may wish to apply to this. One of the prefence mentioned in the as
is for candidates "who can foster ties with other units on campus and with
local national laboratories" and Sandia National Labs (where Alex Cerjan
is located) is just across town from UNM. Please see
the

full listing
at the UNM job site.

# Mathematics and Photonics 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.
- Numerical functional calculus (matrix functions).

### Research links

Slides from my 2021
talk in the Mathematical Physics semiar at Princeton, "Emergent topology from finite volume
topological insulators".
A website promoting the localizer in
operator theory and quantum mechanics.
Supplemental files to
"Surfaces and hypersurfaces as the joint spectrum of matrices" by DeBonis, Loring and Sverdlov.
Slides from my 2019 talk at CMO Oaxaca,
workwhop on Topological Phases of Interacting Quantum Systems,
talk titled "The spectral localizer for estimating bulk gaps and calculating K-theory".
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.
My dissertation,
The Torus and Noncommutative Topology.
*Et Cetera*.
### National Science Foundation

I have support from the National Science Foundation, DMS2110398,
"Numerical Methods in Noncommutative Matrix Analysis."
### Nanostructure Physics department at Sandia National Laboratories

My research with Alex Cerjan,
of the Nanostructure Physics department,
the Center for Integrated Nanotechnologies,
is supported by a subarward from Sandia National Laboratories.