My research focuses on Schrödinger operators, using scattering and spectral theory tools; in addition, I am interested in periodic systems and, more specifically, twisted bilayer graphene. My recent projects revolve around analyzing the dynamics of a system with potential that is periodic in some directions and decaying in others.
My thesis revolves around systems where the potential decays only in some, but not all, directions. In collaboration with Adam Black, this work generalizes the usual setting of short-range scattering to various general geometries. By utilizing microlocal tools, we showed that for such operators, any function decomposes into two components that differ by their asymptotic behavior in time.
Before starting my graduate program, I worked for the Israeli Atomic Energy Commission as a researcher in, and later as head of, the nuclear reactor physics group. My research required intimate knowledge of our reactor and a deep understanding of its physics. One of the projects I worked on, which later became my M.Sc. thesis, was to generalize the current noise experiments formalism to include energy and spatial dependencies.
In addition to my current research, I am also involved in an ongoing project with a doctor from Yale Medical School to develop a general mathematical framework for analyzing steady-state experiments for determining metabolic rates.