Project Grant 2246906
- 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...
- The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...
- 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...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $303,694 to the University of Wisconsin-Madison on July 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in analysis and spectral theory through June 30, 2028. The project delivers rigorous mathematical analysis of models describing wave propagation phenomena in physics, including electromagnetic and acoustic waves, with...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded the University of Wisconsin-Madison a five-year CAREER grant totaling $106,928 on June 1, 2025, through the Mathematical and Physical Sciences program (CFDA 47.049). The award funds fundamental research at the intersection of geometry, dynamical systems, and group theory, with four primary research objectives: proving the singularity conjecture for Cannon-Thurston maps; studying free group...
- 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 $343,401 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear dispersive flows at the University of Wisconsin-Madison. The primary objective is to examine solutions to a broad class of nonlinear wave equations that model physical phenomena in fields such as fluid dynamics, quantum mechanics, and general relativity. The research will investigate...
- 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 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...
- 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 $446,924 National Science Foundation (NSF) Project Grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research into problems in harmonic analysis relating to curvature at the University of Wisconsin-Madison. Specifically, the university will investigate bounding and studying reverse inequalities for certain mathematical operators called Fourier restriction and averaging operators, where the curvature of an underlying manifold plays an important role. The research will focus on obtaining optimal estimates using measures that give small weight to regions where curvature is small or by changing Lebesgue exponents. Additionally, the university will advise and mentor PhD students in mathematics and create opportunities for mathematicians at all career stages to interact at conferences. The work directly addresses NSF's mission to advance mathematical sciences and strengthen the U.S. scientific enterprise. The three-year award period began August 1, 2023.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $446.9k | 3/30/23 |