Opportunity Information: Apply for PD 10 1265

  • The National Science Foundation in the science and technology and other research and development sector is offering a public funding opportunity titled "Geometric 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 Nov 3, 2015. (Agency may still review applications by suitable applicants for the remaining/unused allocated funding in 2026.)
  • The funding agency has allocated a total of $8,800,000.00 to eligible and selected applicants.
  • The number of recipients for this funding is limited to 60 candidate(s).
  • 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.
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Opportunity Summary:

The National Science Foundation (NSF) Geometric Analysis grant opportunity (Funding Opportunity Number PD 10 1265) is a discretionary, research-focused grant program in the Mathematical and Physical Sciences domain (CFDA 47.049). Its core purpose is to fund work in geometric analysis, broadly understood as research at the intersection of differential geometry, partial differential equations (PDE), variational methods, and global analysis. The program is designed to support advances in both foundational theory and methods that connect geometry with analytic techniques, reflecting how modern geometry frequently relies on PDE and variational principles to describe curvature, structure, and evolution on manifolds.

The research scope emphasized by the program includes differential geometry and its analytic underpinnings, particularly how geometric questions can be formulated and solved using PDE and variational frameworks. It explicitly highlights topics such as global analysis (including variational aspects), the differential geometry of complex manifolds, and geometric Lie group theory. It also encourages geometric methods that appear in modern mathematical physics, signaling interest in mathematically rigorous work motivated by physical theories where geometry and analysis naturally intertwine (for example, curvature-driven equations, gauge-theoretic structures, and geometric flows). In addition, the program lists geometry of convex sets and integral geometry as areas of interest, along with related geometric topics, indicating that the portfolio is not limited strictly to smooth manifold theory but also extends to convexity, geometric measure-type ideas, and integral-geometric techniques.

The opportunity supports standard research proposals as well as proposals for community activities such as conferences, workshops, and schools, but it places a special procedural emphasis on the latter. Principal Investigators planning conferences or similar events are directed to consult the NSF solicitation "Conferences and Workshops in the Mathematical Sciences" for proposal content expectations and required elements. A key planning constraint is the timing rule: conference and workshop proposals should be submitted about eight months before the requested start date, which effectively means organizers need to plan well in advance to align proposal submission, review, and award processing with the event schedule.

From a funding and administrative standpoint, the opportunity is offered as a grant mechanism with no cost sharing or matching requirement. The listing indicates an estimated total funding level of $8.8 million and an expected number of awards around 60 (noting that these are program-level estimates and can vary by year). Eligibility is described as "unrestricted," meaning it is generally open to any type of applicant organization, subject to any clarifications that may appear in NSF’s detailed eligibility text. The opportunity was originally posted on August 20, 2010, with an initial full proposal target date of November 2, 2010, and then a recurring annual target date described as the first Tuesday in November in subsequent years. The record reflects later closing information (including a 2015 date) and an archive date of December 2, 2021, which signals that the particular listing has been archived, even though similar program areas may continue under updated NSF program descriptions and current solicitations.

For applicants or institutions that run into technical issues accessing the announcement through Grants.gov, the listing points to Grants.gov support via grantsgovsupport@nsf.gov, and it also notes contacting NSF if there are problems linking to the funding announcement. Overall, the program is best understood as NSF support for research and scholarly activities that advance geometric analysis, especially where deep geometric structures are studied using analytic tools like PDE, variational principles, and global methods, and where those results connect to complex geometry, Lie groups, mathematical physics, convexity, and integral geometry.

Frequently Asked Questions (FAQs): NSF Geometric Analysis (PD 10 1265)

What is the NSF Geometric Analysis grant opportunity?

The NSF Geometric Analysis opportunity (Funding Opportunity Number PD 10 1265) is a discretionary, research-focused grant program within NSF's Mathematical and Physical Sciences domain. It supports work in geometric analysis, broadly defined as research at the intersection of differential geometry, partial differential equations (PDE), variational methods, and global analysis.

What is the program trying to accomplish?

The core purpose is to fund advances in both foundational theory and methods that connect geometry with analytic techniques. The opportunity reflects how modern geometry often relies on PDE and variational principles to describe curvature, structure, and evolution on manifolds, and it aims to support research that deepens these connections.

What is the CFDA number associated with this opportunity?

The opportunity is listed under CFDA 47.049.

What research areas are included under "geometric analysis" for this program?

The program describes geometric analysis broadly, emphasizing research that connects differential geometry with analytic tools such as PDE, variational frameworks, and global methods. It frames the area as work where geometric questions are formulated and solved using analytic techniques.

Which specific topics does the program explicitly highlight?

The listing explicitly highlights topics including:

  • Global analysis (including variational aspects)
  • Differential geometry of complex manifolds
  • Geometric Lie group theory
  • Geometric methods appearing in modern mathematical physics
  • Geometry of convex sets
  • Integral geometry
  • Related geometric topics (as part of a broader portfolio)

Does the program include mathematically rigorous work motivated by physics?

Yes. The listing encourages geometric methods that appear in modern mathematical physics, signaling interest in mathematically rigorous work motivated by physical theories where geometry and analysis naturally intertwine.

Does the program only focus on smooth manifold theory?

No. While smooth differential geometry is central, the program also lists geometry of convex sets and integral geometry, indicating that its scope extends beyond smooth manifold theory to include convexity-related and integral-geometric techniques.

What types of proposals does this opportunity support?

The opportunity supports standard research proposals as well as proposals for community activities such as conferences, workshops, and schools.

Are there special instructions for conference, workshop, or school proposals?

Yes. For conferences and similar community activities, Principal Investigators are directed to consult the NSF solicitation titled "Conferences and Workshops in the Mathematical Sciences" for proposal content expectations and required elements.

How far in advance should conference or workshop proposals be submitted?

Conference and workshop proposals should be submitted about eight months before the requested start date. This timing is presented as a planning constraint to allow alignment of submission, review, and award processing with the event schedule.

What is the funding mechanism for this opportunity?

The listing identifies the opportunity as a grant mechanism.

Is cost sharing or matching required?

No. The opportunity indicates there is no cost sharing or matching requirement.

How much funding is estimated to be available, and how many awards are expected?

The listing provides program-level estimates of an estimated total funding level of $8.8 million and an expected number of awards around 60. It also notes that these are estimates and may vary by year.

Who is eligible to apply?

Eligibility is described as "unrestricted," meaning it is generally open to any type of applicant organization, subject to any clarifications that may appear in NSF's detailed eligibility text.

When was this opportunity originally posted?

The record indicates the opportunity was originally posted on August 20, 2010.

What were the proposal due dates or target dates listed?

The listing shows an initial full proposal target date of November 2, 2010. It also describes a recurring annual target date as the first Tuesday in November in subsequent years.

Is this specific listing still active?

The record reflects later closing information (including a 2015 date) and an archive date of December 2, 2021. That archive date indicates the particular listing has been archived, even though similar program areas may continue under updated NSF program descriptions and current solicitations.

What should applicants do if they have technical trouble accessing the opportunity through Grants.gov?

The listing points applicants to Grants.gov support via grantsgovsupport@nsf.gov for technical issues accessing the announcement through Grants.gov.

What if there are problems linking to the funding announcement?

The listing also notes contacting NSF if there are problems linking to the funding announcement.

What is the best overall way to understand what this program supports?

Based on the listing, the program is best understood as NSF support for research and scholarly activities that advance geometric analysis, particularly where deep geometric structures are studied using analytic tools like PDE, variational principles, and global methods, and where results connect to areas such as complex geometry, Lie groups, mathematical physics, convexity, and integral geometry.

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