NSF award 2532394 · Research Foundation of the State University of New York
LEAPS-MPS: Commutative Algebra of Semirings Through the Lens of Algebraic Geometry and Combinatorics
Final report due
28 January 2028
in 467 days · The award ends on 30 September 2027.
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Dates this award owes
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- Decide about an extension2 Jun 2027in 227 days
award ending 2027-09-30 · Research.gov
- Extension request16 Aug 2027in 302 days
award ending 2027-09-30 · Research.gov
- No-cost extension notice20 Sep 2027in 337 days
award ending 2027-09-30 · Research.gov
- Final report due28 Jan 2028in 467 days
award ending 2027-09-30 · Research.gov
- Project outcomes report due28 Jan 2028in 467 days
award ending 2027-09-30 · Research.gov
- Award is closed out28 Jan 2028in 467 days
award ending 2027-09-30 · Research.gov
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- NSF lists this award's end date as 30 September 2027.
- NSF rules say the final report is due no later than 120 days after that.
- So the final report is due by 28 January 2028.
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Award card
- Award number
- 2532394
- Period of support
- 1 Oct 2025 – 30 Sep 2027
- Amount
- $250,000
- Awardee
- Research Foundation of the State University of New York, Albany, NY
- Program
- OFFICE OF MULTIDISCIPLINARY AC
- Directorate
- MPS
Abstract
A semiring is an algebraic structure that satisfies the same axioms as a ring, except that subtraction is not required. Although this idea may have seemed unusual when first introduced by Vandiver in 1934, many familiar examples exist, such as the natural numbers and the nonnegative real numbers. Semirings have since become central in areas of theoretical computer science, including automata theory and optimization,…
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