My research in spectral theory and spectral geometry is motivated by questions in mathematical physics, with a focus on quantum (metric) graphs and discrete graphs. I am especially interested in how the geometry and topology of these graphs shape the spectrum of the associated Schrödinger operators, for instance through nodal geometry, spectral flow, and eigenvalue inequalities. I am also very interested in the interplay between geometry, spectrum, and dynamics in periodic and aperiodic graphs, and how aperiodic order can give rise to interesting and surprising spectral properties.  Recently, I've also been interested in topological indices in periodic and aperiodic graphs, and their possible applications in solid state physics.

You can also find me on Google Scholar and Research gate.

Preprints:

• Johnson-Schwartzman gap labelling for metric and discrete decorated graphs. Joint with R. Band (2026).

Publications:

1. Spectral flow and Robin domains on metric graphs. Joint with R. Band and M. Prokhorova . To appear in Israel Journal of Mathematics (2025).

2. Time evolution and the Schrödinger equation on time dependent metric graphs. Joint with U. Smilansky. Journal of Physics A: Mathematical and Theoretical (2024).

3. Differences between Robin and Neumann eigenvalues on metric graphs. Joint with R. Band and H. Schanz. Annales Henri Poincaré (2023).

4. Three classification results in the theory of weighted hardy spaces on the ball‏. Joint with D. Ofek. Complex Analysis and Operator Theory (2021).

M.Sc. Thesis:

• Spectral curves of quantum graphs with δs type vertex conditions (Technion, 2022).