Opportunity Information: Apply for PD 10 1281

  • The National Science Foundation in the science and technology and other research and development sector is offering a public funding opportunity titled "Analysis" and is now available to receive applicants.
  • Interested and eligible applicants and submit their applications by referencing the CFDA number(s): 47.049 Mathematical and Physical Sciences.
  • This funding opportunity was created on Feb 18, 2015 and posted on Aug 20, 2010.
  • Applicants must submit their applications by Oct 6, 2015. (Agency may still review applications by suitable applicants for the remaining/unused allocated funding in 2026.)
  • Eligible applicants include: Unrestricted (i.e., open to any type of entity above), subject to any clarification in text field entitled Additional Information on Eligibility.
Apply for PD 10 1281

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Opportunity Summary:

The National Science Foundation (NSF) Analysis Program (Funding Opportunity Number PD 10-1281) is a discretionary grant opportunity under the Mathematical and Physical Sciences directorate (CFDA 47.049). Its purpose is to fund basic, foundational research in mathematical analysis, broadly understood as the branch of mathematics that grew out of the calculus tradition associated with Newton and Leibniz and that continues to supply core theory used across the mathematical sciences and many neighboring disciplines. The program emphasizes fundamental advances in analysis itself, while recognizing that this kind of deep theoretical work often becomes the backbone of future applications in engineering, the physical sciences, and the life sciences.

The program frames analysis as a long-standing bridge between mathematics and physics, pointing to historical examples that show how analytical ideas have shaped major scientific developments: Newtonian mechanics, Fourier analysis for heat conduction, Maxwell's equations in electromagnetism, quantum mechanics, and even modern theoretical physics such as supersymmetry. In that spirit, NSF positions this portfolio as a source of the conceptual and technical tools that make a wide range of mathematical modeling and scientific computation possible, even when immediate applications are not the main goal.

Within its scope, the Analysis Program highlights several active research areas that it regularly supports. These include nonlinear partial differential equations, dynamical systems, and ergodic theory; real, complex, and harmonic analysis; operator theory and operator algebras (including algebras of operators on Hilbert space); mathematical physics; and the representation theory of Lie groups and Lie algebras. It also notes emerging directions such as random matrix theory, especially where it connects to classical analysis, number theory, quantum mechanics, and coding theory, along with the development of noncommutative geometry and its use in modeling physical phenomena. Despite listing these topics, the program stresses that its central mission is not to chase trends but to maintain and grow a dependable reservoir of fundamental mathematical knowledge that other fields can draw on when needed.

In addition to standard research awards, the opportunity description explicitly addresses proposals for conferences and similar community activities, such as workshops and summer or winter schools. Prospective organizers are instructed to consult the NSF solicitation "Conferences and Workshops in the Mathematical Sciences" for detailed expectations about what a strong conference proposal should include. The Analysis Program sets timing guidance that depends on both the event date and the requested budget. For conference proposals with budgets at or below $50,000 (which NSF policy allows to be reviewed internally), events planned to occur before October 1 in a given year should be proposed by the program's normal annual target date in the previous year, while events scheduled for October 1 through December 31 of a given year should be submitted between May 1 and June 1 of that same year. For conference proposals requesting more than $50,000, NSF advises submission roughly seven months before the event to allow time for external peer review.

Key administrative details in the posting indicate that the funding instrument is a grant, there is no cost-sharing or matching requirement, and eligibility is listed as unrestricted (open to any type of entity, subject to any clarifications in the full announcement). The posting shows a long-running annual proposal target date pattern described as the first Tuesday in October (with historical target dates noted), and it includes an agency contact pathway through NSF's Grants.gov support email for access or technical issues.

NSF Analysis Program (PD 10-1281) FAQ

What is the NSF Analysis Program (PD 10-1281)?

The NSF Analysis Program (Funding Opportunity Number PD 10-1281) is a discretionary grant opportunity within the National Science Foundation, housed in the Directorate for Mathematical and Physical Sciences. It supports basic, foundational research in mathematical analysis.

Which NSF directorate and CFDA number are associated with this program?

The program sits within NSF's Mathematical and Physical Sciences directorate, and the posting lists CFDA 47.049.

What does the program mean by "mathematical analysis"?

The opportunity describes analysis broadly as the branch of mathematics that grew out of the calculus tradition associated with Newton and Leibniz. It emphasizes the development of core theory that underpins the mathematical sciences and many neighboring disciplines.

What is the main purpose of this funding opportunity?

The primary purpose is to fund fundamental advances in analysis itself. The program highlights that deep theoretical work in analysis often becomes essential groundwork for future applications, even when immediate applications are not the primary goal.

Is the program focused on applied research or fundamental theory?

The description emphasizes fundamental, foundational research in analysis. It recognizes that such work can later enable applications in engineering, the physical sciences, and the life sciences, but the program's central mission is to maintain and grow core mathematical knowledge rather than to prioritize near-term applications.

How does NSF describe the relationship between analysis and other sciences?

The posting frames analysis as a long-standing bridge between mathematics and physics and as a source of conceptual and technical tools used for mathematical modeling and scientific computation across many areas of science.

What examples does the opportunity give of analysis influencing major scientific developments?

The program references historical connections including Newtonian mechanics, Fourier analysis for heat conduction, Maxwell's equations in electromagnetism, quantum mechanics, and modern theoretical physics topics such as supersymmetry.

What research areas are explicitly highlighted as within scope?

The opportunity lists several active areas it regularly supports, including:

  • Nonlinear partial differential equations
  • Dynamical systems and ergodic theory
  • Real, complex, and harmonic analysis
  • Operator theory and operator algebras (including algebras of operators on Hilbert space)
  • Mathematical physics
  • Representation theory of Lie groups and Lie algebras

Are emerging or interdisciplinary directions included?

Yes. The description notes emerging directions such as random matrix theory (especially where it connects to classical analysis, number theory, quantum mechanics, and coding theory) and the development of noncommutative geometry and its use in modeling physical phenomena.

Does the program only fund the topics listed in the announcement?

No. While the program highlights certain areas it regularly supports, it also states that its central mission is not to chase trends. The emphasis is on fundamental advances in analysis and maintaining a dependable base of foundational mathematical knowledge.

Does the opportunity support conferences, workshops, or schools?

Yes. In addition to standard research awards, the description explicitly addresses proposals for conferences and similar community activities, including workshops and summer or winter schools.

Is there a separate NSF solicitation to follow for conference proposals?

Yes. Prospective organizers are instructed to consult the NSF solicitation titled "Conferences and Workshops in the Mathematical Sciences" for detailed expectations about what a strong conference proposal should include.

What is the timing guidance for conference proposals with budgets at or below $50,000?

For conference proposals at or below $50,000 (which NSF policy allows to be reviewed internally), the timing guidance depends on the event date:

  • If the event will occur before October 1 of a given year, NSF indicates it should be proposed by the program's normal annual target date in the previous year.
  • If the event will occur between October 1 and December 31 of a given year, NSF indicates submission should occur between May 1 and June 1 of that same year.

What is the timing guidance for conference proposals requesting more than $50,000?

For conference proposals requesting more than $50,000, NSF advises submission roughly seven months before the event to allow time for external peer review.

What is the funding instrument for this opportunity?

The posting indicates the funding instrument is a grant.

Is cost-sharing or matching required?

No. The posting states there is no cost-sharing or matching requirement.

Who is eligible to apply?

Eligibility is listed as unrestricted, meaning it is open to any type of entity, subject to any clarifications provided in the full announcement.

When are proposals typically due?

The posting describes a long-running annual proposal target date pattern as the first Tuesday in October, and it notes historical target dates consistent with that pattern.

How can applicants get help with access or technical issues related to submission?

The posting includes an agency contact pathway through NSF's Grants.gov support email for access or technical issues.

Is this program intended to fund trend-driven topics?

No. The program explicitly states that its central mission is not to chase trends, but to maintain and grow a dependable reservoir of fundamental mathematical knowledge that other fields can draw on when needed.

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