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 Project Grant from the National Science Foundation Division of Mathematical Sciences provides $222,051 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Kent State University from June 1, 2022 to May 31, 2025. The funding supports research considering questions in the study of singular integrals in non-smooth or rough settings, using existing and newly developed tools. Key areas of focus include a characterization of bounded singular integrals with matrix...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program supports research at the interface of Fourier analysis and geometric measure theory. The $163,054 award to New York University, with a project period from April 2024 to August 2028, will explore connections between these two mathematical fields and their potential applications to other disciplines like dynamics and number theory. Key research components...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
This Project Grant award of $293,046 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports fundamental research on higher-dimensional spaces and their applications. The principal investigator (PI) at Kansas State University (KSU) will investigate problems related to four-dimensional spaces, including detecting differences between smooth geometric objects and studying stabilization...
This $100,972 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on nonlinear partial differential equations and their applications in fields such as crystal growth, combustion, and game theory. The primary investigator (PI) will study the regularity, large-time behavior, and qualitative properties of solutions to these equations, which have connections to areas like the calculus of...
This Project Grant award of $216,509 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) supports fundamental research in harmonic analysis. The award will fund the advancement of prior work on expressing the Hilbert transform as an average of simple operators, with the goal of building a bridge between the Bellman function method and the sparse operator domination approach in modern...
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 (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 Project Grant award for $249,454, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by the University of Alabama in two areas within mathematical analysis: harmonic analysis and partial differential equations. The key objectives are to expand knowledge in harmonic analysis and its applications to the study of partial differential equations, as well as to provide education and mentoring...