United States. Such an effort would promote the development of new tools capable of addressing important open questions that cannot be pursued today.
To address these critical needs, the committee makes two recommendations:
- The committee recommends that the National Science Foundation's Division of Mathematical Sciences embark on a process of cooperation with other funding units or agencies to establish a well-chosen and critically focused research institute for mathematical sciences devoted to intensive research in a field whose emerging interface with the mathematical sciences shows great potential for the incorporation of mathematical ideas to achieve important societal advances.
- The committee recommends that the National Science Foundation's Division of Mathematical Sciences establish a research institute for experimental mathematics and electronic tools in the mathematical sciences. Its mission would be to promote the experimental component of mathematical sciences research, to facilitate the development of new computer-based tools, and to provide visibility and accessibility to existing tools and to existing research resources that are scattered throughout the world.
In making these recommendations, the committee emphasizes that mathematical research institutes must be based on a strong and vigorous mathematical community. With this in mind, the committee strongly believes that it would not be in the best interest of either the mathematical sciences community or society as a whole to transfer funding from existing NSF mathematical sciences individual (principal investigator) research grant programs to funding for existing or additional mathematical sciences institutes. The strategic and increasingly important role played by mathematical sciences research in every segment of society constitutes a strong justification for new federal funding for the proposed new ventures.