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 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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $160,000 Project Grant to The Regents of the University of Colorado (doing business as the University of Colorado) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports fundamental research into nonlinear wave propagation, focused on enhancing scientific understanding of large amplitude waves and associated wave energy transfer dynamics. This work has potential applications for...
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...
The National Science Foundation awarded a $279,210 Project Grant to the University of Oregon from August 1, 2021 through July 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on the dynamics and operator algebras beyond the Elliott classification through the delivery of mathematical and scientific knowledge. Most of the funding will support advancing understanding of major problems in mathematics, with the University of Oregon serving as a...
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 $114,216 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds a research project at Oregon State University focused on understanding the long-time dynamics and evolutionary behavior of dispersive systems, which have applications in areas like numerical simulations, optics, condensed matter, fluid mechanics, and biology. The project consists of three main...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $219,997 Project Grant to the University of Delaware to conduct research in Hamiltonian formalism applied to wave turbulence problems. The research aims to develop new mathematical models to better understand nonlinear phenomena related to ocean waves, specifically wave-current interactions and wave-structure interactions. Key areas of focus include rogue wave generation, contaminant transport, sediment...
This $276,250 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research on problems in harmonic analysis and time-frequency analysis. The project, led by Purdue University, focuses on three main themes: (1) multilinear maximal/singular/oscillatory operators, (2) multidimensional maximal/singular/oscillatory operators along variable curves, and (3) pointwise convergence of Fourier...
This three-year, $249,990 project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support collaborative research on fundamental problems in time-frequency analysis at Tufts University. Specifically, the investigators will work to solve the long-standing Heil-Ramanathan-Topiwala conjecture and related open problems arising at the intersection of abstract, applied, computational harmonic...