Project Grant 2548742
- The National Science Foundation (NSF) awarded a $288,221 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Missouri System to conduct research on harmonic analysis and convexity. The grant supports the study of geometric properties of convex bodies based on information about their sections and projections, an area known as geometric tomography. The principal investigator plans to further develop analytical techniques that...
- 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 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 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
- 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 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research at New York University (NYU) aimed at deepening the understanding of geometric optimization problems, particularly the isoperimetric problem. The $170,996 award, which runs from June 1, 2025 to May 31, 2028, will utilize tools from geometric measure theory to study the isoperimetric structure of spaces with geometric constraints. Key areas of...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research in asymptotic geometric analysis and affine convex geometry. The $149,983 award to Case Western Reserve University will fund research focused on understanding high-dimensional convex objects and their applications in fields such as physics, biology, computer science, optimization, and materials science. Key aspects of the...
- This federal Project Grant award of $300,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on quantitative symplectic geometry in higher dimensions. The principal investigator will develop new tools and paradigms to study the quantitative aspects of symplectic geometry, including initiating the study of digital symplectic geometry to link geometric methods with numerical simulations and machine learning. The award will...
- 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 $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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides funding for a research project titled "Harmonic Analysis and Affine Isoperimetric Inequalities in Convex Geometry." The $121,788 award, effective August 15, 2025 through May 31, 2028, will support research on two types of mathematical problems: tomographic problems, which focus on retrieving information about geometric objects from limited data, and isoperimetric problems, which involve studying the regularity of high-dimensional data. The principal investigator will employ techniques from Fourier analysis, Radon transforms, and other mathematical fields to address problems related to affine invariant estimates, Radon and cosine transform estimates, and connections to long-standing problems in convex geometry. The research aims to advance scientific knowledge in these areas and explore potential applications in physics, engineering, and computer science.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $121.8k | 8/25/25 |