Mathematical Sciences in the FY 2007 Budget |
M. Rankin III,
The mathematical sciences are making major contributions to the country’s intellectual capacity and the need for results from the mathematical sciences in scientific discovery and technological innovation is accelerating. Many disciplines depend on discoveries in the mathematical sciences to open up new frontiers. Mathematical sciences research supports new results in the life and social sciences as well as more traditional fields, such as the physical sciences, computer science, geosciences, and engineering.
FY 05 FY 06 FY 07 Change Change
Total DOD 76.6 76.2 82.7 6.5 8.5%
Institutes of Health
Total All Agencies 379.64 384.00 396.34 12.34 3.2%
based on conversation with program officer.
# Budget information comes from agency documents and conversations with program managers and representatives.
National Science Foundation (NSF): The Division of Mathematical Sciences (DMS),  is housed in the NSF Directorate of the Mathematical and Physical Sciences (MPS). This directorate also contains the Divisions of Astronomical Sciences, Chemistry, Materials Research, Physics, and Multidisciplinary Activities. The DMS supports advances in the intellectual frontiers of the mathematical sciences, activities contributing to advancing knowledge in other scientific and engineering fields, and research that is critical to national competitiveness.
The mathematical sciences would continue to be an NSF-wide priority area in FY 2007, the last year of this five-year designation. The Foundation has budgeted $78.45 million to carry out the priority area activities in FY 2007, with $69.26 million of this amount coming from the DMS and the remaining $9.19 million coming from throughout the Foundation. The NSF-wide allocation ($9.19 million) depends on cooperative funding opportunities with other NSF directorates and requires matching funds from the DMS. The mathematical sciences were first designated an NSF priority area in FY 2003. In 2003, the Mathematical Sciences Priority Area was projected to receive $109.50 in the FY 2007 budget. The current budget environment has severely curtailed this Priority Area.
The DMS is slated to receive a budget of $205.74 million in FY 2007. This 3.2 percent increase is the first increase in the DMS budget since FY 2004. The DMS budget has increased $26.95 million since FY 2003, the first year the mathematical sciences was designated a priority area, and when the DMS budget was $178.79 million. The DMS budget increased $21.56 million or 12.1 percent from FY 2003 to FY 2004 with the last increase of $5.39 million to come in the FY 2007 budget. The FY 2007 MPS budget is slated for a 6.0 percent increase over FY 2006.
DMS has essentially two modes of support: research and education grants, and institutes.
Grants include individual-investigator awards, awards for multidisciplinary groups
of researchers, and educational and training awards aimed at increasing the number
For FY 2006, the DMS has the following priorities:
- Maintaining a strong program of research grants, both single investigator and small group research grants;
- Investing in algorithm development and computational tools for large-scale problems of scientific importance;
- Broadening participation in the mathematical sciences;
- Maintaining research training activities in the mathematical sciences;
- Continuing support for the Mathematical Sciences Priority Area, while initiating the mainstreaming of its activities in the DMS portfolio.
Army Research Office (ARO): The Mathematics Program, housed
in the Mathematical Sciences and Information Sciences Division, manages the following
programs: modeling of complex systems; computational mathematics; discrete mathematics
and computer science; probability and statistics and stochastic analysis; and
cooperative systems. The
Defense Advanced Research Projects Agency (DARPA): The Defense Sciences Office (DSO) inside DARPA has a mathematics program encompassing both Applied and Computational Mathematics and Fundamental Mathematics. The thrusts of DSO’s programs are structured around focused initiative areas in interdisciplinary and core mathematics. Current program areas include: Discovery and Exploitation of Structure in Algorithms, Femtosecond Adaptive Spectroscopy Techniques for Remote Agent Detection, Geospatial Representation and Analysis, Integrated Sensing and Processing, Mathematical Time Reversal, Predicting Real Optimized Materials, Protein Design Processes, Quantum Information Science and Technology, Robust Uncertainty Management, Stochastic and Perturbation Methods in PDE Systems, and Waveforms for Active Sensing as well as Focus Areas in Theoretical Mathematics, Fundamental Laws of Biology, and Topological Data Analysis. The Microsystems Technology Office has several programs where mathematical algorithms play a central role in the optimization, control, and exploitation of microelectronic and optical systems. These include the Analog-to-Information program, the Multiple Optical Non-redundant Aperture Generalized Sensors program and the Non-Linear Mixed Signal Microsystems program. The DARPA mathematics budget would increase by 9.1 percent over FY 2006.
Department of Energy (DOE): Mathematics is funded through the Applied Mathematics program of the Mathematical, Information, and Computational Sciences Division (MICS) of DOE. Research is conducted on the underlying mathematical understanding of physical, chemical, and biological systems and advanced numerical algorithms that enable effective description, modeling, and simulation of such systems on high-end computing systems. Research in applied mathematics supported by MICS underpins computational science throughout the DOE. The Applied Mathematics program supports work in a wide variety of areas of mathematics, including: ordinary and partial differential equations, numerical linear algebra, fluid dynamics, optimization, mathematical physics, control theory, accurate treatment of shock waves, mixed elliptic-hyperbolic systems, and dynamical systems.
The FY 2007 budget for the Applied Mathematics Program increases the Computational Sciences Fellowship program by $ 500,000 to $4 million. The FY 2007 budget also includes $8.5 million, the same as for FY 2006, for the Atomic to Macroscopic Mathematics (AMM) effort which provides the research support in applied mathematics needed for understanding complex physical processes that occur on a wide range of interacting length- and time-scales. The AMM effort supports university researchers, partnerships between universities and national laboratories, and multidisciplinary research teams at national laboratories. The FY 2007 Applied Mathematics budget would increase by 0.3 percent over FY 2006.
National Institutes of Health (NIH): The NIH funds mathematical sciences research through the National Institute of General Medical Sciences (NIGMS) and the National Institute of Biomedical Imaging and Bioengineering (NIBIB). Mathematical sciences areas of interest are those that support the missions of NIGMS and NIBIB. Currently NIGMS is supporting a biomathematics initiative in cooperation with the National Science Foundation and NIBIB is participating in a joint initiative with the NSF and other NIH institutes, “Collaborative Research in Computational Neuroscience.” The aggregate budget for the mathematical sciences in NIBIB and NIGMS would decline by 0.9 percent, in FY 2007.
Office of Naval Research (ONR): The ONR Mathematical, Computer, and Information Research Division’s scientific objective is to establish rigorous mathematical foundations and analytical and computational methods that enhance understanding of complex phenomena, and enable prediction and control for Naval applications in the future. Basic research in the mathematical sciences is focused on analysis and computation for multi-phase, multi-material, multi-physics problems; predictability of models for nonlinear dynamics; electromagnetic and acoustic wave propagation; signal and imaging processing; modeling pathological behaviors of large, dynamic complex networks and exploiting hybrid control to achieve reliability and security; optimization; and formal methods for verifiably correct software construction. The Mathematical, Computer, and Information Sciences Division’s budget would remain unchanged in FY 2007.
Note: Information gathered from agency documents and from agency representatives.
 For more information see the website, http://www.onr.navy.mil/sci_tech/31/311/default.asp