U.S. Research Institutes in the Mathematical Sciences Assessment and Perspectives (1999) / Chapter Skim
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3 New Challenges and Two New Types of Research Institutes in the Mathematical Sciences
3 New Challenges and Two New Types of Research Institutes in the Mathematical Sciences
Pages 15-22
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From page 15... ...
Some general areas of growth include financial mathematics, which is developing rapidly because of the need for improved decision making in an increasingly global marketplace; the modeling of very complex problems, such as the impact of human activities on the environment; and new and deep mathematical and statistical advances that address computational issues associated with the Human Genome Project. In computer science, which traditionally has relied mainly on such branches of mathematics as logic, discrete mathematics, and number theory, areas such as topology, differential and confonnal geometries, dynamical systems, and exploratory data analysis and mining have become increasingly relevant.
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From page 16... ...
The size of the mathematical research community has increased substantially since the competition that resulted in the establishment of the Mathematical Sciences Research Institute and the Institute for Mathematics and Its Applications. In 1993, 22,820 PhD mathematicians were employed in the United States (NSF, 199S, p.3)
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From page 17... ...
In practice, non-classical conditions or constraints are often encountered that have not been covered by existing mathematical theories. -Increased interaction in addition to improved communication between core mathematicians and other mathematical sciences researchers, and between mathematical scientists and researchers in quantitative areas of science, engineering, medicine, and technology, is needed to identify and answer important theoretical questions that are basic to realizing the full promise of emerging new knowledge.
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From page 18... ...
would each be devoted to long-term, intensive research in a single field whose interface with the mathematical sciences is emerging and shows great promise, but for which the interface has not yet reached the critical mass needed to have a profound, far-reaching impact. The second type of institute would be a research institute for experimental mathematics and the use of electronic tools in the mathematical sciences, abbreviated in the discussion below as "e-MSI." This institute would provide the beginnings of an infrastructure for the experimental component of mathematical sciences research, including in particular core mathematics research.
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From page 19... ...
The committee believes, however, that its recommendations offer the promise not only of strengthening the mathematical sciences research enterprise, but also of attracting new partners to the mathematical research community and possibly expanding the funding base. Research Institute for Mathematical Sciences in Emerging Fields The mission of a research institute for mathematical sciences in an emerging field would be to accelerate the pace of already-begun highly promising interactions and developments between the mathematical sciences and scientific, technological, medical, or engineering fields of national importance.
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From page 20... ...
A research institute for mathematical sciences in emerging fields with this focus would noticeably enlarge the community of mathematical researchers, particularly young researchers, working in this area.
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From page 21... ...
Research Institute for Experimental Mathematics and Electronic Tools fit the Mathematical Sciences The mission of a research institute for experimental mathematics and electronic tools in the mathematical sciences, or e-MSI, would be to collect, maintain, and utilize advances in computer technology and software to stimulate and support the experimental and computational aspects of the mathematical sciences, and to reduce infrastructural barriers to breakthroughs and progress in mathematical sciences research. Examples of such barriers are the lack of access to some appropriate software tools and resources for mathematical experimentation, the physical isolation of many mathematical researchers dispersed throughout the United States, and inadequate access to activities and recent developments in the mathematical sciences research community.
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From page 22... ...
No concerted effort has been made to coordinate it and make all of it readily available to all members of the mathematical research community. Anticipated advances in network communications would enable an e-MST to provide additional access to such resources to aid in the development of mathematical researchers' capabilities and stimulate new mathematical sciences research.
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