Project Grant 2244801
- 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...
- 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...
- 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 $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 $339,651 awarded on May 15, 2022 will support research into spectral theory and universality at Rice University through April 30, 2025. The award was made under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the grant will fund research into the mathematical theory of spectral properties relevant to quantum mechanics and other physical...
- 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...
- 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 University of Wisconsin-Madison received a $253,122 Project Grant award from the National Science Foundation to support research activities under the TOPICS IN ANALYSIS, SPECTRAL THEORY, AND PARTIAL DIFFERENTIAL EQUATIONS project from July 1, 2021 to June 30, 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the nation's scientific enterprise through increasing...
- Yale University was awarded a $400,237 project grant from the National Science Foundation to support research related to spectral theory and nonlinear waves from June 2021 through May 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the national scientific enterprise. Through this funding, Yale researchers will conduct work advancing understanding of major problems in...
- This three-year, $295,778 Project Grant from the National Science Foundation's Division of Mathematical Sciences will support research addressing long-standing problems in the nonlinear propagation of waves. The principal investigator and collaborators at the University of Chicago will conduct mathematical studies of soliton resolution for energy critical nonlinear wave equations and related models, both with and without symmetries. Quantitative unique continuation properties with connections to...
This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program provides $299,292 to the University of Wisconsin-Madison to support research into complex methods in spectral and scattering problems. Specifically, the award will fund investigations into the non-linear Fourier transform and its relationship to scattering theory for Dirac systems of differential equations, which model spin-1/2 particles. Researchers will study questions of convergence and derive maximal estimates for the non-linear Fourier transform. Additionally, the project aims to extend and generalize classical spectral theory results using a new approach based on Toeplitz operators. The principal investigator will involve graduate students in related research questions. Project materials will be used in mini-courses and special topics courses to educate junior researchers and graduate students. This work furthers NSF's mission to advance mathematics and the physical sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $299.3k | 3/29/23 |