Project Grant 2452407
- This $432,460 National Science Foundation project grant supports research at Brown University from June 2022 to May 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to advance the theory of singular integrals in non-smooth settings through consideration of weighted norm estimates, spectral theory, and dimension reduction techniques. Specifically, the project will characterize boundedness for singular operators on graphs and matrices, address the...
- 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 $153,999 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program supports fundamental research in harmonic analysis and related fields of complex variables and non-homogeneous settings. The research examines questions in harmonic analysis, a major branch of mathematical analysis, with a focus on developing novel techniques and applying them to problems in complex analysis and operator theory. The award also includes a...
- This three-year, $298,267 National Science Foundation Project Grant supports research at Michigan State University on non-homogeneous harmonic analysis, spectral theory, and weighted norm estimates as they relate to singular integrals. Singular integrals are mathematical objects that feature in the study of partial differential equations with diverse applications. This award will further the understanding of singular integrals in non-smooth settings through consideration of weighted...
- This federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides funding for a research project titled "Harmonic Analysis and Affine Isoperimetric Inequalities in Convex Geometry." The $121,788 award, effective August 15, 2025 through May 31, 2028, will support research on two types of mathematical problems: tomographic problems, which focus on retrieving information about geometric objects from limited data, and...
- This Project Grant award, valued at $220,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by Brown University to study variational methods in singular geometry, with applications to phenomena like classical mechanics, geodesics, and harmonic maps. The project aims to develop new analytical techniques to investigate the properties of solutions to non-linear elliptic PDEs, and...
- 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 National Science Foundation project grant of $428,169 supports research in harmonic analysis and partial differential equations at the University of Illinois from August 2022 through July 2025. The award is funded through the Mathematical and Physical Sciences program (CFDA 47.049). The project involves foundational research in harmonic analysis and analysis of partial differential equations with a focus on long-time dynamical properties and decay estimates. Specific areas of study...
- 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 Project Grant award of $338,955 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research in the field of harmonic analysis. The research aims to advance the understanding of singular integral operators in non-homogeneous environments, which has applications in probability theory, physics, engineering, and medicine. Specific areas of focus include studying singular integrals with matrix weights, singular integrals on graphs with cycles, and Banach space valued singular integrals on hypercubes. This research will serve as a training ground for graduate students and young researchers, in addition to addressing important mathematical questions. The award period runs from September 1, 2025, to August 31, 2028, and is being performed by researchers at Brown University, a leading private research institution.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $339.0k | 8/6/25 |