Project Grant 2350101
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of unity;...
- This National Science Foundation project grant of $102,612 supports research at the University of Illinois from October 1, 2022 through May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The award aims to advance understanding of dynamical systems and number theory through four objectives: developing methods in homogeneous dynamics to study rational points near manifolds and self-similar sets; techniques in random walk theory and representations of algebraic...
- 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...
- Summary The National Science Foundation's Division of Mathematical Sciences awarded a $217,008 Project Grant (CFDA 47.049, Mathematical and Physical Sciences) to the University of Massachusetts Lowell, effective September 1, 2026 through August 31, 2029, to support foundational research in real and discrete harmonic analysis. The project delivers theoretical research outputs addressing central mathematical operators that average, filter, and detect structure in functions, with particular focus...
- 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...
- Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $200,000 Project Grant to the University of California, Los Angeles, effective July 1, 2026, through June 30, 2029, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds mathematical research investigating interactions between Fourier restriction theory, fractal geometry, and number theory using harmonic analysis tools. The project seeks to develop refined understanding...
- The National Science Foundation Division of Mathematical Sciences awarded a $330,474 Project Grant to the University of Illinois under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating new mathematical properties of eigenvalues of the Laplacian operator on positively and negatively curved geometric spaces. The research aims to identify shapes that support optimal vibrations, explain relationships between spectral properties and curvature,...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $320,000 Project Grant to the University of Illinois, Urbana-Champaign under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, effective September 1, 2023 through August 31, 2026, supports fundamental research on symplectic groupoids and the quantization of Poisson manifolds. Key objectives include developing a novel non-formal deformation quantization approach, advancing the...
- The National Science Foundation (NSF) awarded a $209,953 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Illinois. The grant, which runs from August 1, 2024 to July 31, 2027, will fund research on the Kardar-Parisi-Zhang (KPZ) equation and related stochastic processes from the perspective of Gibbs measures. The project aims to leverage the Gibbs property to study the KPZ equation, with a focus on constructing the solution and understanding...
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 work will involve investigating the Bochner-Riesz mean conjecture, improving results on Gauss's circle problem and Dirichlet's divisor problem, and continuing research on the Waring problem. In addition, the PI will mentor students, disseminate findings through talks, and foster collaborations to generate broader impacts. The grant period runs from July 1, 2024 to June 30, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $327.4k | 4/2/24 |