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NSF award 2507047 · Michigan State University

Advancing topology and group theory: division rings, L2-invariants and Dehn filling

Final report due

29 December 2028

in 803 days · The award ends on 31 August 2028.

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Dates this award owes

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  • Decide about an extension3 May 2028in 563 days

    award ending 2028-08-31 · Research.gov

  • Extension request17 Jul 2028in 638 days

    award ending 2028-08-31 · Research.gov

  • No-cost extension notice21 Aug 2028in 673 days

    award ending 2028-08-31 · Research.gov

  • Final report due29 Dec 2028in 803 days

    award ending 2028-08-31 · Research.gov

  • Project outcomes report due29 Dec 2028in 803 days

    award ending 2028-08-31 · Research.gov

  • Award is closed out29 Dec 2028in 803 days

    award ending 2028-08-31 · Research.gov

Annual report dates come from the budget period on your award notice. That date is not public, so it is not shown here.

How we got this date

  1. NSF lists this award's end date as 31 August 2028.
  2. NSF rules say the final report is due no later than 120 days after that.
  3. So the final report is due by 29 December 2028.

Read the rule on Research.gov

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Award card

Award number
2507047
Period of support
1 Sep 2025 – 31 Aug 2028
Amount
$205,118
Awardee
Michigan State University, East Lansing, MI
Program
GEOMETRIC ANALYSIS
Directorate
MPS

Abstract

The broad field of this project is topology, a branch of mathematics that studies geometric properties preserved under continuous transformations. The main tools used in this study are group theory and homology. A group is a collection of transformations of an object that preserve certain geometric properties. Groups have algebraic structures that make them easier to analyze than the geometric objects themselves.…

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