This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program will fund research at the University of Wisconsin-Madison focused on the intersection of geometry, dynamical systems, and group theory. The $106,928 award, effective June 1, 2025 through May 31, 2030, aims to achieve four key research goals: (1) proving the Singularity Conjecture for Cannon-Thurston maps, (2) studying the dynamics of free group automorphisms to obtain rigidity results in free and free-by-cyclic groups, (3) classifying hyperbolic extensions of free groups, and (4) studying dynamics in flat surfaces to reveal exotic number-theoretic behavior and obtain curve counting results. The educational component includes enhancing the Madison Experimental Mathematics Lab, expanding outreach initiatives, and creating a research incubator for graduate students and postdocs. No sub-awards are planned under this grant.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $106.9k | 5/22/25 |