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 $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on harmonic analysis and wave behavior. The principal investigator will work on several interconnected projects, including: Investigating weighted L2 estimates and their applications to LP problems in harmonic analysis, such as the pointwise convergence problem for the planar Bochner-Riesz means and the LP behavior of the maximal...
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 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $150,000 to Bridgewater State University to support collaborative research on topics in abstract, applied, and computational harmonic analysis. The research aims to advance understanding of modern tools related to Fourier analysis and their application in data science, signal processing, and quantum...
This $246,525 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support fundamental research at the University of California, Irvine (UC Irvine) in the areas of spectral theory, several complex variables, and the geometry of Laplacian eigenfunctions. The key research objectives include investigations into the inverse spectral problem, the structure of Laplacian eigenfunctions, and the asymptotic behavior of Bergman...
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 federal Project Grant award, issued by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), will provide $300,000 to the University of California, Irvine (UCI) from July 1, 2025 to June 30, 2028. The primary objectives of this research project are to: 1) develop new approaches to understand higher continuous symmetries that emerged in theoretical physics in the early 1990s, and 2) explore discrete symmetries arising in algebraic equations...
The National Science Foundation (NSF) awarded a $285,236 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Pomona College in Claremont, CA. The award will fund a research project titled "RUI: NEW FRONTIERS IN OPERATORS, FUNCTIONS, AND MATRICES" from July 1, 2025 to June 30, 2028. The project focuses on the dynamic interaction between operator theory, linear algebra, combinatorics, and probability theory, with the potential for undergraduate student...
The National Science Foundation awarded a $566,385 Project Grant to the University of California Irvine under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This award will support research...
This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $399,625 to California State University Channel Islands (CSUCI) to explore the intersections of nonlocal vector calculus and the mathematics of intelligences. The research aims to advance mathematical theories and models to contribute to fields ranging from artificial intelligence to natural and cognitive sciences. The project will formulate new...