Sets Doubling and Structures in Non-Abelian Additive Combinatorics — NSF Award to OHIO STATE UNIVERSITY, THE (OH, $149,997)
This project studies how subsets of symmetry groups grow when their elements are multiplied together. In many familiar settings, combining two sets makes them much larger, but in some cases the resulting product set remains unexpectedly small, revealing hidden algebraic and geometric structure. Understanding this pheno
| Award title | Sets Doubling and Structures in Non-Abelian Additive Combinatorics |
|---|---|
| Award ID | 2503063 |
| Awardee | OHIO STATE UNIVERSITY, THE |
| City | COLUMBUS |
| State | OH |
| Amount obligated | $149,997 |
| Principal investigator | Yifan Jing |
| Program | Combinatorics |
| Start date | 06/01/2026 |
| Abstract | This project studies how subsets of symmetry groups grow when their elements are multiplied together. In many familiar settings, combining two sets makes them much larger, but in some cases the resulting product set remains unexpectedly small, revealing hidden algebraic and geometric structure. Understanding this phenomenon is a central problem in additive combinatorics and has strong connections with harmonic analysis, geometry, and number theory. The project will develop new principles for det |
| Source | NSF Awards |
$799/mo
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