International Benchmarking of US Mathematics Research Panel Members
PETER D. LAX (Chair), Professor of Mathematics and Director,
Courant Mathematics and Computing Laboratory, New York University, New York, NY
MICHAEL F. ATIYAH, Master,
Trinity College, Cambridge, England
SPENCER J. BLOCH, Professor,
Department of Mathematics, University of Chicago, Chicago, IL
JOSEPH B. KELLER, Professor,
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA
JACQUES-LOUIS LIONS, President,
French Academy of Sciences and
Professor,
College de France, Paris, France
YURI I. MANIN, Director,
Max Planck Institut fur Mathematik, Bonn, Germany
RUDOLPH A. MARCUS, A.A. Noyes Professor of Chemistry,
California Institute of Technology, Pasadena, CA
GARY C. McDONALD, Head,
Operations Research Department, GM Research and Development Center, Warren, MI
CATHLEEN S. MORAWETZ, Professor Emeritus,
Courant Institute of Mathematical Sciences, New York University, New York, NY
PETER SARNAK, Chair,
Department of Mathematics, Princeton University, Princeton, NJ
I.M. SINGER, Institute Professor,
Massachusetts Institute of Technology, Cambridge, MA
MARGARET H. WRIGHT, Distinguished Member of Technical Staff,
Bell Laboratories, Lucent Technologies, Murray Hill, NJ
Project Staff:
DEBORAH D. STINE, Study Director
PATRICK P. SEVCIK, Research Associate
JOHN R. TUCKER, Senior Program Officer
NORMAN GROSSBLATT, Editor
COMMITTEE ON SCIENCE, ENGINEERING, AND PUBLIC POLICY
PHILLIP A. GRIFFITHS (Chair), Director,
Institute for Advanced Study, Princeton, NJ
BRUCE M. ALBERTS, * President,
National Academy of Sciences, Washington, DC
WILLIAM F. BRINKMAN, Vice President,
Physical Sciences Research, Lucent Technologies, Murray Hill, NJ
PETER DIAMOND, Professor of Economics,
Massachusetts Institute of Technology, Cambridge, MA
GERALD P. DINNEEN, Retired Vice President,
Science and Technology, Honeywell, Inc., Edina, MN
MILDRED S. DRESSELHAUS, Institute Professor of Electrical Engineering and Physics,
Massachusetts Institute of Technology, Cambridge, MA
JAMES J. DUDERSTADT, President Emeritus and University Professor of Science and Engineering,
Millennium Project, University of Michigan, Ann Arbor, MI
MARYE ANNE FOX, Vice President for Research,
University of Texas at Austin, Austin, TX
RALPH E. GOMORY, President,
Alfred P. Sloan Foundation, New York, NY
RUBY P. HEARN, Vice President,
The Robert Wood Johnson Foundation, Princeton, NJ
MARIAN E. KOSHLAND, Professor of Immunology,
Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, CA
PHILIP W. MAJERUS, Professor of Medicine,
Biochemistry and Molecular Biophysics and
Director,
Division of Hematology-Oncology, Washington University School of Medicine, St. Louis, MO
KENNETH I. SHINE, * President,
Institute of Medicine, Washington, DC
MORRIS TANENBAUM, Vice President,
National Academy of Engineering, Short Hills, NJ
WILLIAM JULIUS WILSON, Malcolm Wiener Professor,
Center for Social Policy, Harvard University, Cambridge, MA
WILLIAM A. WULF, * President,
National Academy of Engineering, Washington, DC
LAWRENCE E. McCRAY, Executive Director
DEBORAH D. STINE, Associate Director
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* |
Ex officio member. |
COSEPUP GUIDANCE GROUP
MARYE ANNE FOX (Chair), Vice President for Research,
University of Texas at Austin, Austin, TX
DAVID R. CHALLONER, Vice President for Health Affairs,
University of Florida, Gainesville, FL
ELLIS B. COWLING, University Distinguished Professor At-Large,
North Carolina State University, Raleigh, NC
MILDRED S. DRESSELHAUS, Institute Professor of Electrical Engineering and Physics,
Massachusetts Institute of Technology, Cambridge, MA
GERALD P. DINNEEN, Retired Vice President,
Science and Technology, Honeywell, Inc., Edina, MN
ALEXANDER H. FLAX, Consultant,
Potomac, MD
PHILLIP A. GRIFFITHS, Director,
Institute for Advanced Study, Princeton, NJ
MATHEMATICS BENCHMARKING GUIDANCE GROUP
MARYE ANNE FOX (Chair), Vice President for Research,
University of Texas at Austin, Austin TX
PHILLIP A. GRIFFITHS, Director,
Institute for Advanced Study, Princeton, NJ
DANIEL KLEPPNER, Professor of Physics,
Massachusetts Institute of Technology, Cambridge, MA
AVNER FRIEDMAN, Director,
Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN
SHMUEL WINOGRAD, IBM Fellow,
International Business Machines Corporation, Thomas J. Watson Research Center, Yorktown Heights, NY
ROBERT MacPHERSON, Professor,
School of Mathematics, Institute for Advanced Study, Princeton, NJ
Staff:
LAWRENCE E. McCRAY, Executive Director,
COSEPUP
DEBORAH D. STINE, Associate Director,
COSEPUP
JOHN R. TUCKER, Director,
Board on Mathematical Sciences
NORMAN METZGER, Executive Director,
Commission on Physical Sciences, Mathematics, and Applications
FIGURES AND TABLES
Report
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Figure 1: |
Percentage of mathematics-research papers published by US authors |
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Figure 2: |
Percentage unemployment among new US PhDs in mathematics, autumn of year shown |
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Figure 3: |
Number of PhDs produced by US mathematics departments, spring of year shown |
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Figure 4: |
Employment status of PhD mathematicians in the US. |
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Figure 5: |
Doctoral recipients: total number and US and non-US citizens |
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Figure 6: |
Percentage of foreign natural-sciences doctoral students in various countries. |
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Figure 7: |
Stay rates - percentages of foreign doctoral students who plan to remain in the United States, averaged over 1988-1992 |
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Figure 8: |
Total full-time PhD students in mathematical sciences |
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Table 1: |
Decrease in applications to PhD programs in mathematics, 1994 to 1996 |
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Figure 9: |
Median salaries in 1993 of US PhDs who received their degree in 1985-1990, by field |
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Figure 10: |
Percentages of academic scientists with federal support, 1993 |
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Figure 11: |
Percentage increase in federal R&D expenditures at universities and colleges, by field |
Appendix B
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Figure B-1: |
Number of US institutions awarding PhDs in mathematics, 1920-1995 |
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Figure B-2: |
Number of PhDs awarded in mathematics in the United States, 1920-1995 |
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Figure B-3: |
Median time to PhD and age at receipt of PhD in mathematics in the United States |
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Figure B-4: |
Doctoral recipients: total number and US and Non-US citizens |
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Figure B-5: |
Number of first degrees in mathematics and computer science |
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Figure B-6: |
Doctoral degrees in natural-sciences, 1992 |
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Figure B-7: |
Number of PhD mathematicians employed in the United States |
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Table B-l: |
Employment Status of PhD Mathematicians in the United States |
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Table B-2: |
Occupation Status of PhD Mathematicians in the United States |
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Figure B-8: |
Median salaries in 1993 of US PhDs who received their degree in 1985-1990, by field |
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Figure B-9: |
Citizenship of full-time mathematics faculty with PhDs hired during 1991-1992 in the United States |
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Figure B-10: |
Source of PhDs of full-time mathematics faculty hired during 1991-1992 in the United States |
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Figure B-11: |
Percentage of unemployed new US mathematics PhDs |
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Figure B-12: |
Median nine- and twelve-month salaries of new US PhDs for teaching or teaching and research in 1995 dollars |
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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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Figure B-13: |
Percentages of US academic scientists with federal support, 1993 |
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Figure B-14a: |
Federal funding of US mathematical research - academic, 1993-1995 average |
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Figure B-14b: |
Federal funding of US mathematical research - all R&D |
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Figure B-15: |
Percentage of Mathematical-research papers published by US authors |
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Figure B-16: |
Number of mathematical-research papers by US and EC authors, 1981-1996 |
