This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $328,712 to the University of Pittsburgh to conduct research in geometric function theory. The project explores fundamental problems related to mappings and functions with limited differentiability, such as convex functions, Sobolev functions, and Lipschitz/Hölder continuous mappings. The research aims to uncover new mathematical principles that improve the understanding of irregular structures, with applications in areas that depend on the analysis of non-smooth structures. Key research areas include Lusin approximation, regularity of homeomorphisms, topology of continuously differentiable maps, and analysis on metric spaces. The project combines analytic, geometric, and topological methods to address open problems and generate new directions in geometric analysis and topology. The award period is from July 15, 2025 to June 30, 2028.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $328.7k | 7/11/25 |