I am interested in mathematical questions coming out of the study of disordered materials in condensed matter physics, principally spectral properties of various Anderson tight binding models.
A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models, Journal of Mathematical Physics (2023)
Localization and unique continuation for non-stationary Schrödinger operators on the 2D lattice, submitted, arXiv:2405.10636
Uniform estimates for random matrix products and applications, joint w/ Sidhanth Raman, submitted, arxiv:2504.08226
Localization for heavy-tailed Anderson models, submitted, arxiv:2505.09079