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 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...
The National Science Foundation Division of Mathematical Sciences awarded The Washington University a $209,206 Project Grant under the Mathematical and Physical Sciences (47.049) federal grant program. The grant will support research into singular integrals on curves, the Beurling-Ahlfors transform, and commutators. Key areas of focus include weighted estimates for higher powers of the Beurling-Ahlfors transform and advancing commutator theory by studying singular integrals on curves and...
The National Science Foundation Division of Mathematical Sciences awarded a $203,917 Project Grant to The Washington University Office of Sponsored Research Services on July 15, 2021 to complete work by June 30, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the Nation's scientific enterprise through increased understanding of major problems. Specifically, the funding will support research into rational curves on Fano varieties,...
The National Science Foundation awarded The Washington University a three-year $227,347 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct fundamental research in complex analysis, operator theory, and the theory of stable polynomials. The research focuses on characterizing the boundedness and integrability of rational functions on multiple variables, systematically determining asymptotics of coefficients for such functions, and developing the local...
The National Science Foundation awarded a $197,616 project grant to Washington University for "Symmetry Parameter Analysis of Singular Integrals" under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research from July 2021 through June 2024 to advance understanding of major problems in mathematics, specifically analyzing singular integrals using symmetry parameters. As part of the Mathematical and Physical Sciences program's goals to strengthen the...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $290,813 to The Washington University in St. Louis to support a research project in noncommutative geometry and its applications. The primary objectives are to: Introduce new numerical invariants to distinguish noncommutative spaces and refine known invariants such as the Connes-Chern character. Apply cyclic theory to study an analytic version of the Milnor...
The National Science Foundation awarded The Washington University $299,131 under the Mathematical and Physical Sciences program (CFDA 47.049) for a two-year project grant concluding August 2024. The university will leverage expertise in astrophysics, statistics, and plasma physics to develop new tools analyzing multi-band time series data from radio, optical, and gamma-ray telescopes. A library of simulated light curves will be generated and novel diagnostic techniques created to characterize...
The National Science Foundation awarded a $279,707 Project Grant to the University of Washington under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on the regularity theory of measures and dispersive partial differential equations over a five-year period concluding June 30, 2027. The Mathematical and Physical Sciences program supports fundamental research and education in mathematics and the physical sciences to promote scientific progress and strengthen...
The National Science Foundation (NSF) awarded a $299,834 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Washington. This grant supports research exploring probabilistic and deterministic aspects of self-similar geometry, including topics such as conformally self-similar structures in complex dynamics and Schramm-Loewner evolution. The project aims to advance foundational knowledge in this area, with a focus on regularity...