NSF award 2502687 · Trustees of Boston University

Rational Points on Curves and Kim's Conjecture

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: 2502687
Period of support: 1 Sep 2025 – 31 Aug 2027
Amount: $225,000
Awardee: Trustees of Boston University, Boston, MA
Program: ALGEBRA,NUMBER THEORY,AND COM
Directorate: MPS

Abstract

Understanding the integral and rational solutions to polynomial equations has remained a question of fundamental importance for centuries. For instance, a problem formulated by Diophantus in the third century, when translated into the language of a polynomial equation, amounts to determining the rational solutions (x, y) to the equation y^2 = x^6 + x^2 + 1. This problem remained unsolved until the work of Wetherell…

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