This $299,999 Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will support fundamental research on the rigidity and bounded cohomology of groups acting on nonpositively curved spaces. The principal investigator (PI) will focus on understanding the dynamical, topological, and geometric properties of infinite transformation groups that act in a distance-preserving manner on spaces like Euclidean and hyperbolic spaces. Key objectives include studying and computing topological invariants of these groups, investigating the relationship between geometry and bounded cohomology, and advancing local and global rigidity phenomena. The award will also support the PI's efforts to improve mathematics and STEM education. This award, running from July 1, 2025 to June 30, 2028, reflects NSF's mission to strengthen the nation's scientific enterprise and enhance understanding of major problems through fundamental research.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $300.0k | 6/13/25 |