Project Grant 2205771
- 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...
- Trustees of Tufts College, doing business as Tufts University, was awarded a three-year $299,882 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 support research exploring new theories and algorithms for time-frequency analysis with applications across sectors. Specific objectives include investigating sparsity of complex wave signals to identify optimal...
- This National Science Foundation Project Grant award of $120,720 supports research and educational activities in the field of harmonic analysis at the University of Massachusetts Lowell from September 2022 through August 2025. The award is funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will support research on several topics in real and discrete harmonic...
- This $335,000 project grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in harmonic analysis and approximation theory conducted by the University of Wisconsin - Madison. The key objectives are to: (1) Investigate the regularity properties and boundedness of certain averaging operators over sub-manifolds and maximal operators on nilpotent groups within harmonic analysis. (2) Study local smoothing...
- This $196,344 National Science Foundation project grant supports research at Carnegie Mellon University exploring fundamental questions at the interface of harmonic analysis and number theory. Specifically, the grantee will pursue bounds for discrete variants of continuous operators in harmonic analysis involving integration over curved subvarieties. The grantee will also develop refined number theoretic techniques to bound several operators, including multilinear spherical variants, variants...
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $327,441 to the University of Illinois will fund research focused on challenges at the intersection of harmonic analysis, number theory, and dispersive equations. The principal investigator (PI) plans to explore connections between diverse mathematical fields, including additive combinatorics, classical Fourier analysis, dispersive equations on tori, and ergodic theory. The funded...
- 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...
- This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $145,260 to Tufts University to investigate questions in arithmetic statistics through September 2025. Specifically, the grantee will study how arithmetic statistical objects decompose into simpler components and apply uniform bounds to number fields, class groups, and Artin L-functions. This work aims to further...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $129,587 to Wellesley College under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new theories and algorithms for graph data analysis through applied harmonic analysis tools. Specifically, the funding supports research to enhance multiscale representations of data signals on graphs and networks, optimize sampling strategies for high-dimensional non-bandlimited signals, and...
- The New Jersey Institute of Technology (NJIT) received a $124,306 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new computational methods for time-frequency analysis. Over a three-year period from July 2023 to June 2026, NJIT will explore theories and algorithms to address challenges in time-frequency analysis with applications in industries, sciences, medical technology, and big data analytics....
This three-year, $249,990 project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support collaborative research on fundamental problems in time-frequency analysis at Tufts University. Specifically, the investigators will work to solve the long-standing Heil-Ramanathan-Topiwala conjecture and related open problems arising at the intersection of abstract, applied, computational harmonic analysis and other fields like ergodic theory and functional analysis. They will also integrate outcomes into graduate and undergraduate courses. This work builds on successes of applied and pure harmonic analysis that underpin technologies like JPEG and gravitational wave detection. By further developing redundant time-frequency representations, the research aims to advance robust algorithms for data transmission and noise reduction. The grant period runs from June 1, 2022 to May 31, 2025.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 5/27/22 |