This $170,996 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by New York University (NYU) on the isoperimetric problem and group structures in geometric analysis. The project aims to deepen the understanding of how geometric properties, especially curvature, influence solutions to geometric optimization problems. Key research goals include developing a theory for spaces with curvature bounded below, analyzing the existence and uniqueness of isoperimetric sets in nonnegatively curved spaces, and addressing problems at the intersection of algebra, analysis, and geometry. The project involves mentoring undergraduate and graduate students, organizing seminars to engage the local mathematical community, and fostering the development of young researchers. This award reflects NSF's mission to support fundamental and applied research that advances scientific knowledge and promotes the progress of the mathematical and physical sciences.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $171.0k | 5/22/25 |