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Appendix E PhD Origins of Mathematicians in Certain Categories A Study Made for the COSRIMS Pane! on New Centers At the request of the COSRIMS Panel on New Centers, the American Mathematical Society compiled a list of the PhD origins of mathe- maticians in the categories shown in Table E-2. Mathematicians who received their doctorates before 1925 were not included in these tabulations. With few, if any, exceptions, those listed as foreign PhD's now teach in the United States. The Panel next constructed the quality rating of PhD-granting mathematics departments in the United States shown in Table E-1. Quality ratings are given for the four successive decades (plus one year) in the period 1925-1965, the ratings for 1955-1965 being de- rived from Allan M. Cartter's study (see reference 32 of the main texts and for the decade 1925-1934 from Raymond Hughes' 1934 study for the American Council on Education (see reference 32 of the main text, page ix) . The ratings for the two intervening decades are interpolations by the Panel. Using the ratings of Table E-1, CBMS Survey headquarters worked out Tables E-2 and E-3. Table E-2 utilized the American Mathe- matical Society compilation mentioned above. For Table E-3, the numbers of PhD degrees granted were taken from Doctorate Produc- tion in United States Universities 1920-1962 by Lindsey Harmon and # Within each category, the listing is alphabetical. 253

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254 Appendixes TABLE E-1 Leading United States Departments of Mathematics Rated by Quality of Graduate Faculty 1925-1934 1935-1944 1945-1954 1955-1965 DISTINGUISHED Chicago Harvard Princeton STRONG DISTINGUISHED Harvard Princeton STRONG DISTINGUISHED Chicago Harvard Princeton STRONG DISTINGUISHED California, Berkeley Chicago Columbia Harvard MIT NYU Princeton Stanford Yale STRONG California, Berkeley California, Berkeley California, Berkeley Brandeis Columbia Caltech Caltech Brown Cornell Chicago Columbia Caltech Illinois Columbia Cornell Cornell Johns Hopkins Cornell Illinois Illinois Michigan Illinois Johns Hopkins Indiana Michigan Johns Hopkins Minnesota MIT NYU Ohio State Pennsylvania Stanford Texas Wisconsin Yale Minnesota Pennsylvania Wisconsin Yale Johns Hopkins Michigan Minnesota MIT Ohio State Pennsylvania Texas Wisconsin Yale Michigan Minnesota Northwestern Pennsylvania Purdue UCLA Virginia Washington (Seattle) Wisconsin Herbert Soldz of NAS-NRC and from the yearly lists published in the Notices of the American Mathematical Society. The reader should be warned that no canonical list of doctorates exists, and that because of difficulties in classification and reporting, statistics from different sources are in only fair agreement with one another.

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A ppendixes 255 TABLE E-2 PhD Origins of Mathematicians ire Certain Categories CLASSIFICATION OF PHD-GR\NTING DEPARTMENT AT TIME INDIVIDUAL RECEIVED PHD (AMERICAN PHD S SINCE 1 925' FOREIGN PHD S SINCE 1 925 (INCLUDES AMERICANS WHO :OB CATEGORY OF DISTIN- TAINED PHD S INDIVIDUAL GUISHED STRONG OTHER ABROAD) I. Gave invited address at meetings of AMS in 1961-1966 34 23 9 19 II. Gave invited addresses at meetings of AMS in 1954-1960 40 17 III. Gave invited addresses at meetings of AMS in 1948-1953 IV. Gave invited 13 21 23 19 9 25 addresses at meetings of AMS before 1948 24 19 10 21 V. Gave invited addresses (30 minutes or more) at International Congresses of Mathematics since World War II VI. Members of National Academy of Sciences 36 13 6 37 14 4 3 15

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256 ~ ppend ices TABLE E-3 Number and Percentage of Mathematical Science PhD Degrees Given by Distinguished and Strong Schools DISTINGUISHED STRONG OTHER TIME PERIOD N % N % N % TOTE 1925-1929 73 31 109 46 55 23 237 1930-1934 89 22 163 41 144 36 396 1935-1939 43 11 227 60 114 30 384 1940-1944 47 12 189 52 128 35 364 1945-1949 75 16 234 50 162 34 471 1950-1954 149 14 447 42 462 44 1058 1955-1959 425 34 356 29 485 38 1266 1960-1964 714 32 574 25 958 43 2246 1960 93 31 89 30 115 39 297 1961 136 36 81 22 157 42 374 1962 127 34 88 23 163 42 378 1963 179 32 159 28 229 40 567 1964 179 28 157 25 294 47 630 1965 200 29 186 27 303 44 689