Project Grant 2154931
- The National Science Foundation awarded a $219,857 Project Grant to the University of Missouri System under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate the mathematical foundations of four imaging and optics methods. Specifically, the award will support research to develop a unified mathematical framework for X-ray crystallography, cryogenic electron microscopy, ptychography, and ultra-short pulse detection. The research aims to establish rigorous criteria for...
- This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $150,000 to Bridgewater State University to support collaborative research on topics in abstract, applied, and computational harmonic analysis. The research aims to advance understanding of modern tools related to Fourier analysis and their application in data science, signal processing, and quantum...
- Colorado State University was awarded a $223,999 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund collaborative research applications of symplectic geometry to frame theory and signal processing from June 1, 2021 to May 31, 2024. The research is expected to advance understanding of major problems in mathematics and the physical sciences through increasing...
- The National Science Foundation Division of Mathematical Sciences awarded $173,980 to Florida State University under the Mathematical and Physical Sciences (CFDA 47.049) Project Grant to support research applications of symplectic geometry to frame theory and signal processing from June 1, 2021 to May 31, 2024. This funding will allow Florida State University to advance scientific knowledge and understanding of major problems through collaborative research exploring the use of symplectic...
- The National Science Foundation (NSF) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
- The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
- This $300,000 federal Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences on June 1, 2024, supports fundamental research across two key areas: billiard models and geometrical optics, and vehicle kinematics and tire track geometry. The project aims to address challenges in ray optics, mathematical billiards, and vehicle motion modeling, with potential applications in areas like light trapping, invisibility, laser beam shaping, tractor control,...
- The National Science Foundation Division of Mathematical Sciences awarded The Washington University a $209,206 Project Grant under the Mathematical and Physical Sciences (47.049) federal grant program. The grant will support research into singular integrals on curves, the Beurling-Ahlfors transform, and commutators. Key areas of focus include weighted estimates for higher powers of the Beurling-Ahlfors transform and advancing commutator theory by studying singular integrals on curves and...
- The National Science Foundation awarded a $197,616 project grant to Washington University for "Symmetry Parameter Analysis of Singular Integrals" under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research from July 2021 through June 2024 to advance understanding of major problems in mathematics, specifically analyzing singular integrals using symmetry parameters. As part of the Mathematical and Physical Sciences program's goals to strengthen the...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
The National Science Foundation Division of Mathematical Sciences awarded Saint Louis University a three-year Project Grant totaling $332,696 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant supports research into expanding the mathematical theory of phase retrieval and saturation recovery using techniques from frame theory, probability, and Banach space geometry. Key products include identifying the exact redundancy necessary for phase retrieval and saturation recovery using frames and fusion frames, generalizing the phase retrieval scenario in Banach lattices, and introducing phase retrieval for vector bundles over manifolds. The research aims to advance understanding of reconstructing signals from partial linear measurements where physical limitations result in lost information, which has applications in fields like X-ray crystallography and coherent diffraction imaging.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $332.7k | 4/11/22 |