Analysis

Published on AidPage by IDILOGIC on Jun 24, 2005
Administered by:

National Science Foundation, Office of Budget, Finance and Award Management, Headquarters
(see all US Federal Agencies)

Explore all postings for this grant program:
Applications Due:

Oct 5, 2004
First Tuesday in October, annually

total funding: Not Available
max award: none
min award: none
cost sharing, matching: No
number of awards: Not Available
type of funding: Grant
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.

Who can apply:

Unrestricted

Eligible functional categories:
Funding Sources:

Mathematical and Physical Sciences

More Information:

This program does not have a full announcement. More information about the program is available here.

If you have problems accessing the full announcement, please contact: Webmaster, NSF

Address Info:

National Science Foundation, 4201 Wilson Boulevard, Arlington VA 22230