Division of Mathematical Sciences

Analysis

Description

The Analysis Program supports basic research in that area of mathematics whose roots can be traced to the calculus of Newton and Leibniz.  Given its centuries-old ties to physics, analysis has influenced developments from Newton’s mechanics to quantum mechanics and from Fourier’s study of heat conduction to Maxwell’s equations of electromagnetism to Witten’s theory of supersymmetry.  More generally, research supported by Analysis provides the theoretical underpinning for the majority of applications of the mathematical sciences to other scientific disciplines.  Current areas of significant activity include: nonlinear partial differential equations; dynamical systems and ergodic theory; real, complex and harmonic analysis; operator theory and algebras of operators on Hilbert space; mathematical physics; and representation theory of Lie groups/algebras.  Emerging areas include random matrix theory and its ties to classical analysis, number theory, quantum mechanics, and coding theory; and development of noncommutative geometry with its applications to modeling physical phenomena.  It should be stressed, however, that the underlying role of the Analysis Program is to provide support for research in mathematics at the most fundamental level.  Although this is often done with the expectation that the research will generate a payoff in applications at some point down the road, the principal mission of the Program is to tend and replenish an important reservoir of mathematical knowledge, maintaining it as a dependable resource to be drawn upon by engineers, life and physical scientists, and other mathematical scientists, as need arises.

Due Dates

Proposals must be submitted by the following date(s):

• Full Proposal Target Date(s):
  First Tuesday in October

Primary Program Contact

Joe W. Jenkins
Program Director
Rm. 1025 N
Phone: (703) 292-4870,
Fax: (703) 292-9032,
Email: jjenkins@nsf.gov

Eligibility Information

Standard eligibility criteria as defined in the Grant Proposal Guide apply to this program. There are no additional limitations.

Award Information

Estimated program budget, number of awards and average award size/duration are subject to the availability of funds.

Proposal Preparation Instructions

• Full proposals: Standard Preparation Guidelines
  • Standard GPG Guidelines apply.

Budgetary Information

This program adheres to the budget definition and preparation instructions described in the Grant Proposal Guide and has no additional requirements or limitations.

Cost Sharing is not required.

Proposal Review Information

• Merit Review Criteria: National Science Board approved criteria apply.

Award Administration Information

• Award Conditions: Standard NSF award conditions apply.
• Reporting Requirements: Standard NSF reporting requirements apply.

Program Description Number: PD 04-1281