NSF award 2550590 · University of Notre Dame

Isoperimetric Problem and Group Structures in Geometric Analysis

Final report due

28 September 2028

in 711 days · The award ends on 31 May 2028.

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Decide about an extension1 Feb 2028in 471 days
award ending 2028-05-31 · Research.gov
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Extension request16 Apr 2028in 546 days
award ending 2028-05-31 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 May 2028in 581 days
award ending 2028-05-31 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due28 Sep 2028in 711 days
award ending 2028-05-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due28 Sep 2028in 711 days
award ending 2028-05-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out28 Sep 2028in 711 days
award ending 2028-05-31 · Research.gov
PAPPG 24-1: “financially closed out 120 days after their expiration date”

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NSF lists this award's end date as 31 May 2028.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 28 September 2028.

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Award card

Award number: 2550590
Period of support: 15 Dec 2025 – 31 May 2028
Amount: $170,996
Awardee: University of Notre Dame, Notre Dame, IN
Program: GEOMETRIC ANALYSIS
Directorate: MPS

Abstract

Among all shapes that enclose a given volume, which ones have the smallest possible surface area? This classical question, known as the isoperimetric problem, dates back to ancient Greece and appears naturally in phenomena such as soap bubbles, crystals, and models of the universe in physics. This project aims to deepen our understanding of how geometric properties of a space -- especially curvature -- influence…

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