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NSF award 2554265 · Brown University

Arakelov Geometry and Algebraic Dynamics

Final report due

28 August 2027

in 313 days · The award ends on 30 April 2027.

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Dates this award owes

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  • Decide about an extension31 Dec 2026in 73 days

    award ending 2027-04-30 · Research.gov

  • Extension request16 Mar 2027in 148 days

    award ending 2027-04-30 · Research.gov

  • No-cost extension notice20 Apr 2027in 183 days

    award ending 2027-04-30 · Research.gov

  • Final report due28 Aug 2027in 313 days

    award ending 2027-04-30 · Research.gov

  • Project outcomes report due28 Aug 2027in 313 days

    award ending 2027-04-30 · Research.gov

  • Award is closed out28 Aug 2027in 313 days

    award ending 2027-04-30 · Research.gov

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How we got this date

  1. NSF lists this award's end date as 30 April 2027.
  2. NSF rules say the final report is due no later than 120 days after that.
  3. So the final report is due by 28 August 2027.

Read the rule on Research.gov

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Award card

Award number
2554265
Period of support
1 Oct 2025 – 30 Apr 2027
Amount
$200,009
Awardee
Brown University, Providence, RI
Program
ALGEBRA,NUMBER THEORY,AND COM
Directorate
MPS

Abstract

The project in this award lies at the interface of algebraic dynamics and arithmetic geometry, motivated by an analogy between rational points on projective varieties and orbits of dynamical systems. Understanding the rational solutions to polynomial equations is a classical and fundamental problem, with advances such as Fermat's Last Theorem and the proof of the Mordell Conjecture being among the most celebrated…

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