Leroy Milton Kelly

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Leroy Milton Kelly (born May 8, 1914 , † February 21, 2002 ) was an American mathematician who dealt with geometry (especially combinatorial geometry).

Kelly studied at Boston University and received her doctorate in 1948 from the University of Missouri with Leonard Blumenthal (New Properties of Elliptic Space). He was a professor at Michigan State University . Most recently he lived in Holt .

He gave a Euclidean solution to the Sylvester-Gallai problem in the 1940s , originally posed by Sylvester in 1893, republished as a problem by Paul Erdős in 1943 , and solved by Tibor Gallai and others ( Robert Steinberg, among others, gave projective proof in 1944). He also looked at generalizations of the problem. With WOJ Moser in 1958 he proved that in a plane arrangement of n points ( ), which are not all collinear, there are at least straight lines that contain exactly 2 points (and that this is also the upper bound for n = 7). That was an important step in the direction of an as yet unproven guess by Gabriel Andrew Dirac (who guessed straight lines).

Fonts

  • Editor with Andrew Gleason : The William Lowell Putnam Mathematical Competition: problems and solutions, 1938-1964, 1980
  • A resolution of the Sylvester-Gallai problem of JP Serre , Discrete and Computational Geometry, Volume 1, 1986, pp. 101-104
  • with WOJ Moser: On the number of ordinary lines determined by n points, Canad. J. Math. 10, 1958, pp. 210-219
  • Editor: The Geometry of metric and linear spaces: proceedings of a conference held at Michigan State University, East Lansing, June 17-19, 1974, Springer Verlag 1975

Web links

Individual evidence

  1. ↑ Social Security Death Index  ( page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice. and VIAF@1@ 2Template: Toter Link / death-records.mooseroots.com  
  2. ↑ Leroy Milton Kelly in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Published in HSM Coxeter : A problem of collinear points , American Mathematical Monthly, Volume 55, 1948, pp. 26-28
  4. ^ Problem 4065, American Mathematical Monthly, Volume 50, 1943, p. 65
  5. ^ Solution to problem 4065, American Mathematical Monthly, Volume 51, 1944, pp. 169-171
  6. ^ R. Steinberg, Three point collinearity, American Mathematical Monthly, Volume 51, 1955, pp. 169-171
  7. ↑ Kelly, Moser, On the number of ordinary lines determined by n points, Canad. J. Math. 10, 1958, pp. 210-219
personal data
SURNAME Kelly, Leroy Milton
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH May 8, 1914
DATE OF DEATH February 21, 2002