Project Grant 2549719
- This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on non-homogeneous harmonic analysis. The research aims to advance the understanding of singular integral operators, which are critical to the study of various types of waves, with applications in fields like probability, physics, engineering, and medicine. The specific research focus areas include singular integrals with matrix...
- 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, $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...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on topics in analysis and geometric measure theory. The $253,498 award, with a performance period from August 1, 2025 to July 31, 2028, aims to develop new techniques for understanding rectifiability in non-Euclidean geometries and to characterize uncertainty principles and sampling theory with applications in areas like medical imaging and wireless...
- This federal Project Grant award for $216,509, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in harmonic analysis. The award aims to advance work on the Hilbert transform and related operators, building connections between the Bellman function method and sparse operator domination approaches in modern harmonic analysis. Key activities include addressing open problems on the dyadic square function,...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $303,694 to support research focused on a range of questions central to classical analysis, spectral theory, and partial differential equations. The goal is to develop new analytical tools with applications across disciplines such as probability and random matrix theory. The principal investigator will train undergraduate, graduate students, and postdocs in the...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This $140,000 Project Grant awarded by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Utah to develop new techniques in the study of harmonics and applications to understanding prime numbers. The research will improve the ability to reason intuitively in p-adic geometry, a form of geometry that detects divisibility by prime numbers, and use these new tools to advance the mathematical theory of automorphic...
- The National Science Foundation (NSF) awarded a $270,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Maryland, College Park. The grant, with a performance period from September 1, 2025 to August 31, 2028, aims to develop and analyze tools from applied harmonic analysis to understand and capitalize on the formal concept of redundancy in mathematics and applications. The project will pursue two main research thrusts: 1) Developing theory...
- The National Science Foundation (NSF) awarded a $296,600 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Wisconsin-Madison. This three-year grant, effective September 1, 2025 through August 31, 2028, focuses on advancing the theoretical understanding of complex analysis in several variables. The project aims to further the field of complex analysis, which serves as an important tool in applications such as physics,...
This Project Grant award, funded by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in harmonic analysis and complex analysis. The $153,999 award to George Mason University will fund two main research streams: investigating harmonic analysis in non-doubling measure settings and applying harmonic analysis techniques to problems in complex analysis. The project aims to advance the theoretical understanding of harmonic analysis and its applications, with potential impacts on areas such as medical imaging, signal processing, and neuroscience. As part of the award, the principal investigator will also mentor undergraduate students in research projects, contributing to the STEM education pipeline. The award period runs from July 1, 2025 to June 30, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $154.0k | 9/2/25 |