Project Grant 2506790
- 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...
- This $253,498 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on analysis and geometric measure theory, with a focus on developing new techniques to better understand rectifiability in non-Euclidean geometries relevant to physics and computer science. The award also aims to characterize uncertainty principles and sampling theory, with applications to medical imaging, wireless communication, and random systems...
- 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 $473,736 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into the role of symmetry and convexity in isoperimetric-type geometric questions in high dimensions, with potential applications in learning theory and other fields. Principal investigator at Georgia Tech Research Corporation will supervise postdocs, students, and organize seminars to investigate asymptotic geometry questions like the behavior of large...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at Arizona State University (ASU) on challenging problems in discrete spherical geometry. The project explores intricate mathematical questions related to spheres, which have broad implications across fields such as data science, communications, and materials science. Key focus areas include equiangular lines, spherical two-distance...
- The National Science Foundation (NSF) awarded a $343,850 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Cincinnati. This 3-year grant, effective September 1, 2024, will fund research to develop new mathematical tools for analyzing the large-scale geometric behavior of non-smooth metric measure spaces, which have diverse applications across fields like fluid mechanics, neurophysiology, and fractal geometry. The project aims to enhance the...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Carnegie Mellon University to advance the theoretical and applied frontiers at the intersection of probability, geometry, and combinatorics. The project focuses on three main research directions: 1) enabling efficient statistical inference for geometric probability distributions, 2) analyzing minimum lengths of combinatorial structures in...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $328,712 to the University of Pittsburgh to conduct research on Geometric Function Theory. The project explores fundamental problems in this field, focusing on mappings and functions with limited differentiability, such as convex functions, Sobolev functions, and Lipschitz and Hölder continuous mappings. The research aims to uncover new mathematical principles that...
- The National Science Foundation awarded $376,018 under the Mathematical and Physical Sciences program (CFDA 47.049) to Carnegie Mellon University for the project "Stability and Regularity: From Analysis to Geometry" from September 1, 2022 to August 31, 2025. The project focuses on using functional and geometric inequalities to explore the geometry of manifolds and domains. Such inequalities describe ground states for physical systems in acoustics and materials science. Researchers will...
- 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 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 research include geometric tomography, the study of affine invariant functionals on convex bodies, and the relationship between convex geometry and information theory. In addition to the research activities, the project will involve lectures to the scientific community and the public, as well as the training of graduate students and postdocs.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/15/25 |