NSF award 2507136 · University of Texas at Austin

Discrete subgroups of Lie groups and geometric structures on manifolds

Final report due

29 December 2027

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

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Dates this award owes

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Decide about an extension3 May 2027in 197 days
award ending 2027-08-31 · Research.gov
This one is ours, not NSF’s.
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: 2507136
Period of support: 1 Sep 2025 – 31 Aug 2027
Amount: $111,427
Awardee: University of Texas at Austin, Austin, TX
Program: TOPOLOGY
Directorate: MPS

Abstract

This project studies locally homogeneous geometric manifolds, which are abstract mathematical objects designed to model the physical universe. The term locally homogeneous refers to the presence of a high degree of local symmetry which is captured by an object called the (local) symmetry group. It is this symmetry group which dictates the geometry, in the following sense: the meaningful quantities we can measure in…

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