Mappings and flatness in non-smooth geometry — NSF Award to Ball State University (IN, $125,349)
Classical calculus concerns itself with smooth functions, curves, and surfaces inside our standard Euclidean geometry. Nowadays, many problems in pure and applied mathematics benefit from extending calculus tools beyond these smooth, Euclidean contexts. This includes the study of non-smooth functions and sets, abstract
| Award title | Mappings and flatness in non-smooth geometry |
|---|---|
| Award ID | 2553261 |
| Awardee | Ball State University |
| City | MUNCIE |
| State | IN |
| Amount obligated | $125,349 |
| Principal investigator | Guy David |
| Program | ANALYSIS PROGRAM |
| Start date | 07/01/2026 |
| Abstract | Classical calculus concerns itself with smooth functions, curves, and surfaces inside our standard Euclidean geometry. Nowadays, many problems in pure and applied mathematics benefit from extending calculus tools beyond these smooth, Euclidean contexts. This includes the study of non-smooth functions and sets, abstract geometries different from our own, and fractal spaces with interesting behavior at many scales. The project aims to understand these objects in a number of ways: by studying the w |
| Source | NSF Awards |
$799/mo
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