William Jaco

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William Jaco (2012)

William Howard "Bus" Jaco (born July 14, 1940 in Grafton , West Virginia ) is an American mathematician who studies topology .

Life

Jaco studied at Fairmont State University with a bachelor's degree in 1962 and from Pennsylvania State University with a master's degree in 1964. He received his doctorate in 1968 under Daniel Russell McMillan at the University of Wisconsin – Madison ( Constructing 3-manifolds from group homomorphisms ) . From 1961 to 1964 he was a mathematician (in the field of underwater research) at the Naval Ordnance Laboratory of the US Navy . In 1968 he became an instructor at the University of Michigan ; from 1970 he was assistant professor and later professor at Rice University . In 1982 he moved to Oklahoma State University as a professor , where he headed the mathematics faculty until 1993.

In 1971/72 he was at the Institute for Advanced Study and 1984/85 at the MSRI . In 2005 he was visiting professor at Beijing University. From 1988 to 1995 he was Executive Director of the American Mathematical Society . In 2012 he became a Fellow of the American Mathematical Society . He has been married since 1978 and has four children.

Researches

Jaco deals with low-dimensional topology (especially 3-manifolds ), combinatorial and geometric group theory and complexity theory , algorithms and decision problems. He is known for the JSJ decomposition with Peter Shalen and Klaus Johannson .

Fonts

  • with Peter Shalen: Seifert fibered spaces in 3-manifolds (= Memoirs of the American Mathematical Society. 220). American Mathematical Society, Providence RI 1979, ISBN 0-8218-2220-9 .
  • with Peter Shalen: Seifert fibered spaces in 3-manifolds. In: James C. Cantrell (Ed.): Geometric topology. Proceedings of the 1977 Georgia Topology Conference, Athens, Ga., Aug. 1-12, 1977. Academic Press, New York NY et al. 1979, pp. 91-99.
  • Lectures on three-manifold topology (= Regional Conference Series in Mathematics. 43). American Mathematical Society, Providence RI 1980, ISBN 0-8218-1693-4 .
  • with Ulrich Oertel: An algorithm to decide if a 3-manifold is a Haken manifold. In: Topology. Vol. 23, No. 2, 1984, pp. 195-209, doi : 10.1016 / 0040-9383 (84) 90039-9 .
  • with Hyam Rubinstein : PL minimal surfaces in 3-manifolds. In: Journal of Differential Geometry. Vol. 27, No. 3, 1988, pp. 493-524, ( online ).
  • with Jeffrey L. Tollefson: Algorithms for the complete decomposition of a closed 3-manifold. In: Illinois Journal of Mathematics. Vol. 39, No. 3, 1995, pp. 358-406, ( online ).
  • with Hyam Rubinstein: 0-efficient triangulations of 3-manifolds. In: Journal of Differential Geometry. Vol. 65, No. 1, 2003, pp. 61-168, ( online ).

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Jaco, William
ALTERNATIVE NAMES Jaco, William Howard
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 14, 1940
PLACE OF BIRTH Grafton , West Virginia