Research Interest:
My research interest is in applied harmonic analysis and frame theory with a focus on applications in phase retrieval. My research is motivated by applications in signal processing, compressed sensing, and engineering. My work involves techniques from numerical linear algebra, convex geometry, functional analysis, matrix analysis, graph theory, algebra, and number theory. My area of research uses different tools and I am willing to learn more about different topics and use them in my research.
Publications and Preprints:
- Stable phase retrieval and perturbations of frames with Wedad Alharbi, Daniel Freeman and Shanea Sebastian, to appear in the Proceedings of the American Mathematical Society
- Locality and stability for phase retrieval with Wedad Alharbi, Salah Alshabhi and Daniel Freeman, 2022
- Discretizing L_P norms and frame theory with Daniel Freeman, 2021
- Phase retrieval by projections in R^n requires 2n-2 projections with Peter Casazza, 2020
- Norm retrieval and phase retrieval by projections with Peter Casazza, Shani Jose and Janet Tremain- Axioms, 2017
- Weak Phase Retrieval with Sara Botelho-Andrade, Peter Casazza, Shani Jose and Janet Tremain- Compressed Sensing and its Applications, 2017
- Weak phase retrieval and phaseless reconstruction with Sara Botello-Andrade, Peter Casazza, Shani Jose and Janet Tremain… - arXiv preprint arXiv:1612.08018, 2016