NSF award 2641018 · University of Nebraska-Lincoln

Orderability of Groups, and Foliations and Flows on 3-Manifolds

Final report due

29 December 2027

in 437 days · The award ends on 31 August 2027.

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Decide about an extension3 May 2027in 197 days
award ending 2027-08-31 · Research.gov
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Extension request17 Jul 2027in 272 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 Aug 2027in 307 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due29 Dec 2027in 437 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due29 Dec 2027in 437 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out29 Dec 2027in 437 days
award ending 2027-08-31 · 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 August 2027.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 29 December 2027.

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Award card

Award number: 2641018
Period of support: 1 Sep 2026 – 31 Aug 2027
Amount: $149,827
Awardee: University of Nebraska-Lincoln, Lincoln, NE
Program: EPSCoR Co-Funding, TOPOLOGY
Directorate: MPS

Abstract

Groups are among the most pervasive algebraic structures in both mathematics and real life. Roughly speaking, whenever there is a notion of multiplication on a set of things, this set becomes a group. We say a group can be left-ordered if one can order elements of the group so that the relative size of any two elements remains unchanged when multiplying both elements by another element on the left. When it comes to…

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