
The FY 2002 Budget Request for the Mathematical
Sciences (DMS) Subactivity is $141.48 million, an increase of $20.0
million, or 16.5 percent, over the FY 2001 Current Plan of $121.48
million.
(Millions of Dollars)

FY 2000
Actual 
FY 2001
Current Plan 
FY 2002
Request 
Change 
Amount 
Percent 
Mathematical Sciences 
105.98

121.48

141.48

20.00

16.5%

Total, DMS 
$105.98

$121.48

$141.48

$20.00

16.5%

Advances in science and engineering, driven in part by increasingly
sophisticated and readily available computing environments, have
lifted the mathematical sciences to the forefront of science and
engineering, reshaping modern discovery through quantitative predictions,
modeling, visualization, computational algorithms, and optimization
methods. Science and engineering are becoming more mathematical
and statistical, not only in the physical, engineering and informational
sciences, but also the biological, geophysical, environmental, social,
behavioral, and economic sciences.
NSF has a crucial role in the support of academic
research in the mathematical sciences, providing over 66 percent
of all federal academic support. NSFsupported research involves
a broader range of infrastructure, fundamental research, and multidisciplinary
research topics than that sponsored by other federal agencies that
support academic mathematical sciences research. Especially important
is the critical function of the mathematical sciences in the education
and training of the nation's total scientific and engineering workforce.
The Mathematical Sciences Subactivity includes support
for areas such as analysis, geometry, topology, foundations, algebra,
number theory, combinatorics, applied mathematics, statistics, probability,
biomathematics, and computational mathematics. Awards in these areas
support a variety of research projects, multidisciplinary projects,
and Focused Research Groups, with some grants including funding
for graduate and postdoctoral students as well as for workshops,
computing equipment and other research and education needs. Support
across the mathematical sciences includes research institutes, postdoctoral
research fellowships, graduate education, broadening the career
experiences of researchers, providing opportunities that increase
participation in the nation's research personnel base, research
conferences and workshops, and shared scientific computing research
equipment. Support for infrastructure in the mathematical sciences
includes undergraduate investments such as Research Experiences
for Undergraduates.
The pervasive nature of the mathematical sciences
in underpinning and enabling today's science, economics, and engineering
disciplines is illustrated by the following examples:
Addressing the pressing need for increased capacity
of communication channels, researchers at University of Colorado
at Boulder, Brown University, and Northwestern University have
developed new methods for simulating fiberoptic transmission
of biterror probabilities, allowing simulations with significantly
fewer computations.
A researcher at the University of Utah, supported
by both the Mathematical Sciences Subactivity and the Office of
Polar Programs, has applied methods from percolation theory to
investigate the properties of the sea ice that covers a sizeable
fraction of the Earth's polar oceans. The research was able to
explain the thresholds for porosity, temperature, and salinity,
above which sea ice becomes permeable to brine.
At the same time, NSF supported mathematical sciences
research probes fundamental theories:
The FY 2002 Budget Request of $141.48 million, an
increase of $20.0 million, will enable both the enhanced participation
of the mathematical sciences in interdisciplinary mathematics and
the establishment of new interdisciplinary national institutes.
These investments reflect the importance of mathematical and statistical
sciences in crosscutting science and engineering research areas
such as pattern recognition, managing large data sets, relationships
between structure and function, modeling uncertainty, and the geometrization
of science. Specifically:
Special emphasis on Focused Research Group activities
that advance areas of mathematical biology, nanotechnology, and
new partnerships with the Computer and Information Science and
Engineering Activity and the Geosciences Activities within NSF
and new interagency partnerships with the National Institutes
of Health (NIH) and the Defense Advanced Research Project Agency
(DARPA).
