This Project Grant award of $301,542, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049), supports the University of Rochester's research project titled "The Uncertainty Principle, Restriction Theory, Signal Recovery and Sampling on Manifolds." The project investigates algorithms for recovering missing values in discrete and continuous data signals, with potential applications in data science, fire detection, and image reconstruction. The research spans topics such as Fourier restriction, the uncertainty principle on Riemannian manifolds, and random sampling on manifolds. The project aims to develop a comprehensive approach to spectral synthesis problems, leveraging restriction theory ideas and properties of the Helmholtz equation. The award period is from July 1, 2025, to June 30, 2028.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $301.5k | 6/25/25 |