Research
Research Interests
Spectral Theory of Quasiperiodic Operators
Spectral Theory on Quantum Graphs
Complex Function Theory
Inverse Spectral Theory of Differential Operators
Approximation Theory, Chebyshev and Orthogonal Polynomials, Potential Theory
Publications
Spectral bounds for periodic Jacobi matrices; Proceedings of the AMS, accepted for publication (2024) [Journal] [arXiv]
On meromorphic inner functions in the upper half-plane; Function Spaces, Theory and Applications, Fields Institute Communications 87, 229-243 (2023) [Proceeding]
Uniqueness theorems for meromorphic inner functions and canonical systems; preprint (2023) [arXiv]
On the spectra of periodic elastic beam lattices: single-layer graph; with M. Ettehad. preprint (2022) [arXiv]
Ambarzumian-type problems for discrete Schrödinger operators; with J. Eakins, W. Frendreiss, L. Lamb, S. Manage, A. Puente. Complex Analysis and Operator Theory 15, 118 (2021), part of the collection Spectral Theory and Operators in Mathematical Physics [Journal] [arXiv]
Mixed data in inverse spectral problems for the Schrödinger operators; Journal of Spectral Theory 11 (1), 281-322 (2021) [Journal] [arXiv]
Inverse problems for Jacobi operators with mixed spectral data; Journal of Difference Equations and Applications 27 (1), 81-101 (2021) [Journal] [arXiv]
Complex analytic approaches to inverse spectral problems; PhD Thesis, Texas A&M University (2020) [Thesis]
Some Asymptotics for Extremal Polynomials; with G. Alpan, A. Goncharov. Computational Analysis: Contributions from AMAT, Springer Proceedings in Mathematics & Statistics 155, 87-101 (2016) [Proceeding]
Widom Factors; with A. Goncharov. Potential Analysis 42, 671-680 (2015) [Journal]
Widom factors; MS Thesis, Bilkent University (2014) [Thesis]