Opportunity Information: Apply for PD 07 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 Aug 20, 2010 and posted on Nov 16, 2009.
  • Applicants must submit their applications by replaced by 10 1265. (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 program (Funding Opportunity Number PD 07 1265) is a discretionary grant opportunity in the Science and Technology and other Research and Development category (CFDA 47.049, Mathematical and Physical Sciences). Its purpose is to fund research at the intersection of differential geometry, partial differential equations (PDE), variational methods, and broader areas of global analysis. In practical terms, the program is aimed at advancing the mathematical foundations and tools that connect geometric structures with analytic techniques, especially where geometry and analysis inform each other in deep and nontrivial ways.

The scope of supported research is broad within geometric analysis. The description highlights work in differential geometry and its relationship to PDE and variational principles, as well as global analysis more generally. It explicitly includes the differential geometry of complex manifolds, which can cover topics where complex structures, curvature, and analytic methods combine (for example, problems involving Kahler geometry or geometric flows on complex manifolds). It also includes geometric Lie group theory, capturing research where symmetry, group actions, and geometric structures interact with analytic questions. Another emphasized area is geometric methods in modern mathematical physics, signaling interest in mathematically rigorous work that uses geometric analysis to study structures and equations motivated by physics (such as gauge-theoretic ideas, curvature-driven variational problems, or geometric formulations of field theories). The program also mentions the geometry of convex sets and integral geometry, indicating that it can support research on convexity, curvature measures, geometric inequalities, and problems involving geometric probability or measure-theoretic methods on geometric objects. The phrase "related geometric topics" leaves room for adjacent areas that naturally fit within this geometry-analysis framework.

From an administrative and funding standpoint, NSF anticipated around 60 awards under this opportunity, with an estimated total funding level of $8,800,000. The funding instrument is a grant, and there is no cost-sharing or matching requirement, which typically means applicants are not expected to provide institutional or third-party funds as a condition of receiving an award. Eligibility is listed as unrestricted, meaning the opportunity is broadly open to applicant types, subject to any further clarifications that might appear in the detailed program guidance. The opportunity was originally posted on November 16, 2009, with a creation/archive date noted as August 20, 2010, and it indicates a full proposal target date of the first Tuesday in November each year (the original closing date referenced is November 2, 2010, and the listing notes it was later replaced by another program identifier). For the most authoritative, up-to-date requirements and submission instructions, the announcement points applicants to the NSF program description and to NSF/Grants.gov support contacts for access or technical issues.

Frequently Asked Questions (FAQs)

What is the NSF Geometric Analysis program?

The NSF Geometric Analysis program is a discretionary grant opportunity within NSF's Mathematical and Physical Sciences area (CFDA 47.049). It supports research in geometric analysis, broadly defined as work at the intersection of differential geometry, partial differential equations (PDE), variational methods, and global analysis.

What is the Funding Opportunity Number for this program?

The Funding Opportunity Number listed is PD 07 1265.

What is the main purpose of this funding opportunity?

The purpose is to fund research that advances mathematical foundations and tools connecting geometric structures with analytic techniques, especially in settings where geometry and analysis interact in deep and nontrivial ways.

What kinds of research areas are included under the program scope?

The scope is broad within geometric analysis and includes differential geometry in relation to PDE and variational principles, as well as global analysis more generally. The description also explicitly calls out several example areas, along with space for "related geometric topics" that fit the geometry-analysis framework.

Does the program support research involving partial differential equations (PDE) and variational methods?

Yes. The program description highlights the relationship between differential geometry and both PDE and variational principles as central themes.

Is research on complex manifolds within scope?

Yes. The program explicitly includes the differential geometry of complex manifolds, which can encompass topics where complex structures, curvature, and analytic methods combine.

Does the program include geometric Lie group theory?

Yes. Geometric Lie group theory is specifically identified as an emphasized area, including research involving symmetry, group actions, and geometric structures interacting with analytic questions.

Is mathematically rigorous work connected to physics eligible under this program?

Yes. The program emphasizes geometric methods in modern mathematical physics, indicating interest in mathematically rigorous research using geometric analysis to study structures and equations motivated by physics.

Are topics like convex geometry and integral geometry eligible?

Yes. The program mentions the geometry of convex sets and integral geometry, including research on convexity, curvature measures, geometric inequalities, and measure-theoretic or probability-flavored methods on geometric objects.

Does the program allow "related geometric topics" beyond the named examples?

Yes. The description includes "related geometric topics," suggesting that adjacent areas may be supported when they naturally fit within the broader geometry-analysis framework described.

What type of funding instrument is used?

The funding instrument is a grant.

Is cost sharing or matching required?

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

Who is eligible to apply?

Eligibility is listed as unrestricted, meaning it is broadly open to applicant types, subject to any additional clarifications that may be in the detailed NSF program guidance.

How many awards did NSF anticipate making under this opportunity?

NSF anticipated approximately 60 awards under this opportunity.

What was the estimated total funding level?

The estimated total funding level listed is $8,800,000.

When was this opportunity originally posted?

The opportunity was originally posted on November 16, 2009.

What does the creation/archive date mean for this listing?

The listing notes a creation/archive date of August 20, 2010, which indicates the record was created or archived around that time in the source system.

When is the proposal deadline or target date?

The listing indicates a full proposal target date of the first Tuesday in November each year. It also references an original closing date of November 2, 2010.

Is this program still active under the same identifier?

The listing notes that it was later replaced by another program identifier, which suggests applicants should confirm the current program description and active solicitation information before preparing a submission.

Where should applicants look for the most authoritative, up-to-date requirements?

The announcement directs applicants to the NSF program description for authoritative requirements and submission instructions.

Where can applicants get help with technical or access issues (for example, Grants.gov)?

The announcement points applicants to NSF/Grants.gov support contacts for access or technical issues related to submission systems.

What is the broader category for this grant opportunity?

The opportunity is in the Science and Technology and other Research and Development category and is associated with NSF Mathematical and Physical Sciences (CFDA 47.049).

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