Project Grant 2452384
Award Date
6/15/25
Completion Date
5/31/28
Dollars Obligated
$147K
Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Cleveland, OH 44106, USA
Similar Awards
This $288,221 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on geometric properties of convex bodies and their applications in fields such as x-ray tomography. The principal investigator (PI) plans to further develop analytical techniques that express geometric properties in terms of integral transforms, enabling the use of harmonic analysis methods to solve geometric problems. Key focus areas include...
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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the isoperimetric problem in geometric analysis. The $170,996 award to New York University (NYU) aims to deepen the understanding of how geometric properties, especially curvature, influence solutions to geometric optimization problems. The project uses tools from geometric measure theory to study the isoperimetric structure of spaces...
This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
This $239,068 Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research on geometric harmonic analysis and advances in Radon-like transforms at the University of Pennsylvania. The funded work focuses on developing new mathematical techniques and theoretical understanding related to Radon-like geometric averages and their applications in areas such as CT, SPECT, NMR imaging, radar, and sonar. Key goals...
This $194,972 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research at Emory University focused on addressing open problems in discrete geometry. The central aims are to study the covering and intersection properties of convex geometric objects and explore connections between discrete geometry and other mathematical fields. Key planned activities include mentoring undergraduate students, developing new mathematical...
This $200,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research by the Trustees of Indiana University on problems in harmonic analysis and related areas of mathematics. The key objectives are to deepen the study of the Fourier restriction conjecture, develop new mathematical tools and insights to understand wave behavior, and provide research training opportunities for graduate students. The project focuses...
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 $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
This $446,924 National Science Foundation (NSF) Project Grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research into problems in harmonic analysis relating to curvature at the University of Wisconsin-Madison. Specifically, the university will investigate bounding and studying reverse inequalities for certain mathematical operators called Fourier restriction and averaging operators, where the curvature of an underlying manifold plays an important...