Background
Mostow, George Daniel was born on July 4, 1923 in Boston, Massachusetts, United States. Son of Isaac J. and Ida (Rotman) Mostow.
(This is a pre-1923 historical reproduction that was curat...)
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(Two sets of n points ordered with respect to each other, ...)
Two sets of n points ordered with respect to each other, the one, Pk, in a linear space Sk, determined by the equations (up1) =0, (wp2)=0, -, (upn} =0, and the other Q -, in a linear space Sn-k-2, determined by the equations (up1)=0, (vq1)=0 .., (vqn)=0, are called associated sets if the factors of proportionality in the coordinates of the points can be so chosen that an identity in u, v exists of the following form: (1) (up1 )(vq1) +(up2) (vq2 )+ ... + ( upn ) (vqn) = 0. This relation, obviously mutual, between the two sets is such that either set uniquely defines the other to within projective modifications. Some general properties of such sets have been given by the writer. A characteristic algebraic property of two associated sets is that complementary determinants formed from the matrices of the coordinates of the two sets of points when taken so that (1) is satisfied are proportional. A characteristic geometric property is the following: On k+ 3 of the points of P there is a unique rational norm curve N k upon which the k+ 3 points determine a set of k+ 3 parameters; on the complementary set of n - k - 3 points of Q there is a pencil of linear spaces Sn-k-3 whose members on the remaining k+ 3 points determine a set of k+ 3 parameters; these two sets of k+ 3 parameters are projective. Unless k - n - k - 2 the associated sets are in spaces of different dimension. Conventional methods of passing from one space to another are the process of mapping the space of lower dimension upon that of higher dimension, and the process of projecting from the space of higher dimension upon the Read before the American Mathematical Society at Evanston, Dec. 29, 1922. This investigation has been pursued under the auspices of the Carnegie Institution of Washington, D. C. A. B. Coble, Point sets and allied Cremona groups (I), these Transactions, vol. 16 (1915), p. 155, in particular 1
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Mostow, George Daniel was born on July 4, 1923 in Boston, Massachusetts, United States. Son of Isaac J. and Ida (Rotman) Mostow.
Graduate, Boston Public Latin School, 1940. Graduate, Hebrew College, Boston, 1942. Bachelor, Harvard University, 1943.
Master of Arts, Harvard University, 1946. Doctor of Philosophy, Harvard University, 1948. Doctor of Science (honorary), University Illinois, Chicago, 1989.
Instructor mathematics Princeton University, 1947-1948. Member Institute Advanced Study, 1947-1949, 56-57, 75, member board of trustees, 1982-1992. Assistant professor Syracuse University, 1949-1952.
Assistant professor mathematics Johns Hopkins University, 1952-1953, associate professor, 1954-1956, professor, 1957-1961. Professor mathematics Yale University, 1961-1966, James E. English professor mathematics, 1966-1981, Henry Ford II professor mathematics, 1981-1998, chairman, 1971-1974, professor emeritus, since 1998. Visiting professor Conselho National des Pesquisas, Institute de Matematica, Rio de Janiero, Brazil, 1953-1954, 91, University Paris, 1966-1967, Hebrew University, Jerusalem, 1967, Tata Institute Fundamental Research, Bombay, 1970, Institute des Hautes Etudes Scientifiques, Bures-Sur-Yvette, 1966, 71, 75, Japan Society for Promotion of Science, 1985, Eidgenossische Technische Hochschule, Switzerland, 1986.
Chairman United States National Committee for Math, 1971-1973, 83-85, Office Mathematics Sciences, National Research Council, 1975-1978. Member science advisory committee Mathematics Sciences Research Institute, Berkeley, California, 1988-1991. Member science advisory committee, board governors Weizmann Institute, Israel, 1987—2003.
Board governors Tel Aviv University, 1990-2000. Member Harvard Graduate Council, 1988-1991. Member visiting committee department mathematics Harvard University, 1975-1981, Massachusetts Institute of Technology, 1981-1994.
Ritt lecturer Columbia University, 1982, Bergman lecturer Stanford University, 1983, Sachar lecturer Tel Aviv University, 1985, Karcher lecturer University Oklahoma, 1986, Markert lecturer Pennsylvania State University, 1993.
(Two sets of n points ordered with respect to each other, ...)
(A book on the legacy of William James on the development ...)
(This is a pre-1923 historical reproduction that was curat...)
Associate editor Annals of Mathematics, 1957-1964, transactions American Mathematical Society, 1958-1965, American Scientist, 1970-1982, Geometriae Dedicata, 1985-1990, board consultant Journal D'Analyse Mathématique, since 1994. Editor: American Journal Mathematics 1965-1969. Associate editor American Journal Mathematics 1969-1979.Author research articles:.
Institute for Advanced Study 1947-1949, 57, 1975, Trustee since 1982. Science Advisory Council, Mathematics Sciences Research Institute Berkeley, California since 1988. Science Advisory Council, Weizman Institute Rehovoth, Israel since 1988.
Board of Governors Weizman Institute since 1988. Mathematics Sciences Research Institute since 1988(90). N.A.S., American Academy, of Arts and Sciences, American Mathematics Society.
Married Evelyn Davidoff, September 1, 1947 (deceased September 16, 2005). Children: Mark Alan, David Jechiel, Carol Held, Jonathan Carl. Married Sidnie Feit, June 21, 2007.