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. I have also recently become interested in kinetic theory, especially in stochastic models.
Papers, listed in reverse chronological order:
Localization for heavy-tailed Anderson models
Submitted [arXiv]
Uniform estimates for random matrix products and applications, joint w/ Sidhanth Raman
Submitted [arXiv]
Localization and unique continuation for non-stationary Schrödinger operators on the 2D lattice
Communications in Mathematical Physics, to appear [arXiv]
A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models
Journal of Mathematical Physics 64 (2023) [arXiv] [journal]