Patrick X. Gallagher

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Patrick Ximenes Gallagher (born January 2, 1935 in Elizabeth (New Jersey) , † March 30, 2019 ) was an American mathematician who dealt with analytical number theory (sieving methods).

Gallagher studied at Harvard University with a bachelor's degree in 1956 and received his doctorate in 1959 from Princeton University under Donald C. Spencer ( Metric Diophantine Approximation in One and Several Dimensions ). From 1959 to 1961 he was an instructor at the Massachusetts Institute of Technology , 1962 to 1964 Assistant Professor at Columbia University , 1964/65 he was at the Institute for Advanced Study and from 1965 to 1971 at Barnard College (first as Associate Professor and then as Professor). In 1972 he became a professor at Columbia University, where he was director of undergraduate studies from 2013 and retired in 2017.

Gallagher dealt with the method of the large sieve and improved and simplified its methods, among other things used for the proof of the Bombieri and Vinogradow theorem . He also applied the methods of the great sieve to the (probabilistic) Galois theory. In 1971 he invented the larger sieve . He also dealt with the theory of group characters.

Dorian Goldfeld is one of his doctoral students .

Fonts (selection)

So far not listed in the footnotes.

  • Group characters and normal Hall subgroups, Nagoya Math. J., Vol. 21, 1962, pp. 223-230
  • Metric simultaneous diophantine approximation, Part I, Journal of the London Mathematical Society, Volume 37, 1962, pp. 387-390, Part II, Mathematika, Volume 12, 1965, pp. 123-127
  • Zeros of group characters, Mathematische Zeitschrift, Volume 87, 1965, pp. 363-364
  • Zeros of characters of finite groups, Journal of Algebra, Volume 4, 1966, pp. 42-45
  • Bombieri's mean value theorem, Mathematika, Volume 15, 1968, pp. 1-6
  • A large sieve density estimate near , Inventiones Mathematicae, Volume 11, 1970, pp. 320-339
  • Sieving by prime powers, Acta Arithmetica, Vol. 24, 1973, pp. 491-497
  • with JH Müller: Primes and zeros in short intervals, J. für Reine und Angewandte Mathematik, Volume 303/304, 1978, pp. 205-220
  • Invariants for finite groups, Adv. Math., Vol. 34, 1979, pp. 46-57

Individual evidence

  1. ↑ Birth dates American Men and Women of Science , Thomson Gale 2004
  2. ↑ Patrick X. Gallagher in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ^ For example, Gallagher, The large sieve, Mathematika, Volume 14, 1967, pp. 14-20
  4. ^ Gallagher, The large sieve and probabilistic Galois theory, in: Harold G. Diamond (Ed.). Analytic number theory. Proceedings of Symposia in Pure Mathematics. 24, American Mathematical Society, 1973, pp. 91-101.
  5. ^ Gallagher, A larger sieve, Acta Arithmetica, Volume 18, 1971, pp. 77-81
personal data
SURNAME Gallagher, Patrick X.
ALTERNATIVE NAMES Gallagher, Patrick Ximenes
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH January 2, 1935
PLACE OF BIRTH Elizabeth (New Jersey)
DATE OF DEATH March 30, 2019