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