This report is the result of a fast-track study of U.S. mathematical sciences research institutes done in response to a request from the National Science Foundation (NSF). The task of the Committee on U.S. Mathematical Sciences Research Institutes was to address the following three questions:
- What are the characteristic features of effective mathematical sciences research institutes in the ways that they further mathematical research in the United States, and are there ways that the current configuration can be improved?
- What kinds of institutes should there be in the United States, and how many does the nation need?
- How should U.S. mathematical sciences research institutes be configured (with regard to, for example, diversity of operating formats, distribution of mathematical fields, and interinstitute cooperation or coordination) in order to have the nation's mathematical research enterprise continue to be most productive and successful?
- U.S. Research Institutes in the Mathematical Sciences
- Copyright
- Preface
- Contents
- Executive Summary
- 1 Perspective on and Approach to Characterizing Institutes' Roles in the Mathematical Sciences
- A BRIEF HISTORICAL VIEW OF MATHEMATICAL SCIENCES INSTITUTES
- Initial Mathematical Research Institutes
- Institutes Based on the IAS Model
- Mathematical Sciences in Other Institutes and Research Centers
- Conference Centers
- Worldwide Growth After Mid-Century
- Recent Trends
- A ROUGH CLASSIFICATION OF EXISTING MATHEMATICAL SCIENCES INSTITUTES
- BRIEF SUMMARY OF INPUT TO THE COMMITTEE
- 2 Current U.S. Research Institutes in the Mathematical Sciences—Impact and Continuing Need
- IMPACT OF EXISTING U.S. RESEARCH INSTITUTES IN THE MATHEMATICAL SCIENCES
- Impact on Research
- Impact on Mathematical Quality and Culture
- Vitality of the U.S. Mathematical Enterprise
- Benefits to Mathematical Education and Other Areas
- THE CONTINUING VALUE OF BROADLY BASED RESEARCH INSTITUTES IN THE MATHEMATICAL SCIENCES
- 3 New Challenges and Two New Types of Research Institutes in the Mathematical Sciences
- EVOLUTION IN THE MATHEMATICAL SCIENCES
- Evolution of Science and Technology: Increasing Need for Mathematical Applications
- Effects of Technology Development on Research in the Mathematical Sciences
- Growth and Change in the U.S. Mathematical Sciences Research Community
- HOW TO ADDRESS NEW CHALLENGES
- New Requirements
- Need for Focused Exploration of Topics That Are Becoming Mathematical
- Need for an Infrastructure for Mathematical Sciences Experimentation and for Sharing of Tools
- A Proposal for Two New Types of Institutes
- RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES IN EMERGING FIELDS
- Envisioning an Emerging-Field Mathematical Research Institute
- Illustration of a Potential Emerging-Field Mathematical Institute
- Recommendation: Start a Process to Establish Emerging-Field Institutes
- RESEARCH INSTITUTE FOR EXPERIMENTAL MATHEMATICS AND ELECTRONIC TOOLS IN THE MATHEMATICAL SCIENCES
- Envisioning an Institute for Experimental Mathematics and Electronic Tools in the Mathematical Sciences
- Recommendation: Establish a Research Institute for Experimental Mathematics and Electronic Tools in...
- 4 Recap and Closing Comments
- Appendix Description of Input from the Mathematical Sciences Community
- COMMENTS FROM INDUSTRY RESPONDENTS (12)
- COMMENTS FROM GOVERNMENT RESPONDENTS (5)
- COMMENTS FROM ACADEMIC RESPONDENTS (61)
- COMMENTS FROM APPLIED (13) AND CORE (32) MATHEMATICS RESPONDENTS
- COMMENTS FROM STATISTICAL SCIENCES RESPONDENTS (12)
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