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OCR for page 11
INTERNATIONAL BENCHMARKING OF US MATHEMATICS RESEARCH
CONTENTS
EXECUTIVE SUMMARY
15
1.
BACKGROUND
17
2.
SCOPE AND NATURE OF THE PANEL'S EVALUATION
19
3.
RELATIVE POSITION OF US RESEARCH IN MATHEMATICS
21
3.1. The Discipline
21
3.1.1. Leadership
21
3.1.2. Depth
22
3.2. Mathematics in a Broader Context
22
3.2.1. Science and Engineering
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3.2.2. Industry
25
3.2.3. Government Laboratories and Agencies
26
3.2.4. Mathematics Education
26
4.
FACTORS THAT INFLUENCED PAST US PERFORMANCE IN MATHEMATICS
29
4.1. Attractiveness to Talent from Outside the United States
29
4.2. Quality and Structure of Graduate Education in Mathematics
29
4.3. Diversity of the US Research Enterprise
30
4.4. Adequate Funding
31
5.
CURRENT TRENDS
33
5.1. Vitality of the Mathematical Sciences
33
5.2. Interdisciplinary Research
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5.3. Employment Prospects for New PhDs
34
5.3.1. Academic Jobs
34
5.3.2. Industrial Jobs
36
5.4. Foreign Graduate Students
36
5.5. Graduate Education
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5.6. Support
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6.
LIKELY FUTURE RELATIVE POSITION OF US MATHEMATICS
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6.1. Intellectual Quality
45
6.2. Interdisciplinary Research
45
6.3. US Graduate Education in Mathematics
45
6.4. Support for Mathematical Research
46
7.
REFERENCES
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APPENDIX A:
Panel and Staff Biographical Information
51
APPENDIX B:
Statistical Data on the Field of Mathematics
57
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INTERNATIONAL BENCHMARKING OF US MATHEMATICS RESEARCH
FIGURES AND TABLES
Report
Figure 1:
Percentage of mathematics-research papers published by US authors
Figure 2:
Percentage unemployment among new US PhDs in mathematics, autumn of year shown
Figure 3:
Number of PhDs produced by US mathematics departments, spring of year shown
Figure 4:
Employment status of PhD mathematicians in the US.
Figure 5:
Doctoral recipients: total number and US and non-US citizens
Figure 6:
Percentage of foreign natural-sciences doctoral students in various countries.
Figure 7:
Stay rates - percentages of foreign doctoral students who plan to remain in the United States, averaged over 1988-1992
Figure 8:
Total full-time PhD students in mathematical sciences
Table 1:
Decrease in applications to PhD programs in mathematics, 1994 to 1996
Figure 9:
Median salaries in 1993 of US PhDs who received their degree in 1985-1990, by field
Figure 10:
Percentages of academic scientists with federal support, 1993
Figure 11:
Percentage increase in federal R&D expenditures at universities and colleges, by field
Appendix B
Figure B-1:
Number of US institutions awarding PhDs in mathematics, 1920-1995
Figure B-2:
Number of PhDs awarded in mathematics in the United States, 1920-1995
Figure B-3:
Median time to PhD and age at receipt of PhD in mathematics in the United States
Figure B-4:
Doctoral recipients: total number and US and Non-US citizens
Figure B-5:
Number of first degrees in mathematics and computer science
Figure B-6:
Doctoral degrees in natural-sciences, 1992
Figure B-7:
Number of PhD mathematicians employed in the United States
Table B-l:
Employment Status of PhD Mathematicians in the United States
Table B-2:
Occupation Status of PhD Mathematicians in the United States
Figure B-8:
Median salaries in 1993 of US PhDs who received their degree in 1985-1990, by field
Figure B-9:
Citizenship of full-time mathematics faculty with PhDs hired during 1991-1992 in the United States
Figure B-10:
Source of PhDs of full-time mathematics faculty hired during 1991-1992 in the United States
Figure B-11:
Percentage of unemployed new US mathematics PhDs
Figure B-12:
Median nine- and twelve-month salaries of new US PhDs for teaching or teaching and research in 1995 dollars
Table B-3:
Federal Support for the Mathematical Sciences, Fiscal Year 1995-1998, in Millions, Current Dollars; and in Millions, Constant 1992 Dollars
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INTERNATIONAL BENCHMARKING OF US MATHEMATICS RESEARCH
Figure B-13:
Percentages of US academic scientists with federal support, 1993
Figure B-14a:
Federal funding of US mathematical research - academic, 1993-1995 average
Figure B-14b:
Federal funding of US mathematical research - all R&D
Figure B-15:
Percentage of Mathematical-research papers published by US authors
Figure B-16:
Number of mathematical-research papers by US and EC authors, 1981-1996
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INTERNATIONAL BENCHMARKING OF US MATHEMATICS RESEARCH
This page in the original is blank.
Representative terms from entire chapter:
mathematical sciences
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