NSF award 2503063 · Ohio State University, the

Sets Doubling and Structures in Non-Abelian Additive Combinatorics

Final report due

28 September 2029

in 1,076 days · The award ends on 31 May 2029.

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PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 May 2029in 946 days
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PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due28 Sep 2029in 1076 days
award ending 2029-05-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due28 Sep 2029in 1076 days
award ending 2029-05-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out28 Sep 2029in 1076 days
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PAPPG 24-1: “financially closed out 120 days after their expiration date”

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So the final report is due by 28 September 2029.

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Award card

Award number: 2503063
Period of support: 1 Jun 2026 – 31 May 2029
Amount: $149,997
Awardee: Ohio State University, the, Columbus, OH
Program: Combinatorics
Directorate: MPS

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…

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