I am a PhD student at the Hebrew University working under the supervision of Prof. Jonathan Breuer.
Research Interests
Generally, I am interested in the spectral theory of Jacobi matrices on graphs. More specifically, I am interested in the connection between generalized eigenfunctions, the geometry of a graph, and certain properties
of the spectrum and of the spectral measures of the operator.
Publications and preprints
Eigenfunction expansion and the decomposition of Jacobi operators on Z,
submitted.
arXiv:2406.12685.
Subordinacy theory on star-like graphs,
J. Spec. Th. 13 (2023), 427-449.
arXiv:2203.13548.
(with J. Breuer) On the Decomposition of the Laplacian on Metric Graphs,
Ann. Henri Poincaré 21 (2020), 499-537. arXiv:1901.00349.
In preparation
(with Y. Last) Dimensional Hausdorff properties and singular spectra of Schroedinger operators on Z.
Invited talks
Analysis Seminar, Hebrew University of Jerusalem(2018).
Israel Physical Society Annual Meeting, Hebrew University of Jerusalem (2018).
PDE and Applied Mathematics Seminar, Technion (2019).
European Congress of Mathematics Conference, Analysis on Graphs Session (2021).
Israeli Math Union Meeting, Student Talks Day, Ben Gurion University (2021).
Workshop on Functional Analysis, Operator Theory and Dynamical Systems, Potsdam University (2022).