G. Peter Scott

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Godfrey Peter Scott , called Peter Scott, (* 1945 ) is a British mathematician.

Scott received his PhD in 1968 from Brian Joseph Sanderson at the University of Warwick ( Some problems in topology ). He was a professor at the University of Liverpool and later at the University of Michigan .

Scott deals with the geometry and topology of three-dimensional manifolds and the associated group theory (combinatorial or geometric group theory), especially Klein's groups and hyperbolic geometry in the context of the Thurston program . He also deals with groups with negative curvature such as the fundamental groups of closed surfaces, with minimal surfaces and the geometry of geodetic curves on surfaces.

The sentence about the compact core ( Scott Core Theorem ) goes back to him . This says that every 3-manifold with a finitely generated fundamental group has a compact kernel, i.e. H. a compact submanifold whose inclusion in a homotopy equivalence is. He had already proven beforehand that finitely generated 3-manifold fundamental groups must be presented finitely .

In 1986 he received the Senior Berwick Prize . He is a fellow of the American Mathematical Society .

Fonts

  • Compact submanifolds of 3-manifolds , Journal of the London Mathematical Society. Second Series 7 (2): 246–250 (proof of the theorem about the compact kernel)
  • Finitely generated 3-manifold groups are finitely presented. J. London Math. Soc. (2) 6: 437-440 (1973).
  • Subgroups of surface groups are almost geometric. J. London Math. Soc. (2) 17 (1978) no. 3, 555-565. (Definition of LERF groups )
  • There are no fake Seifert fiber spaces with infinite π 1 . Ann. of Math. (2) 117 (1983) no. 1, 35-70.
  • with J. Hass, Michael Freedman Closed geodesics on surfaces , Bull. London Mathematical Society, Volume 14, 1982, pp. 385-391
  • with Freedman, Hass: Least area incompressible surfaces in 3-manifolds. Invent. Math. 71 (1983) no. 3, 609-642.
  • with Meeks: Finite group actions on 3-manifolds. Invent. Math. 86 (1986) no. 2, 287-346.
  • Introduction to 3-Manifolds , University of Maryland, College Park 1975
  • The geometries of 3-manifolds , Bulletin London Mathematical Society, Volume 15, 1983, pp. 401-487 pdf
  • with Gadde A. Swarup: Regular neighborhoods and canonical decompositions for groups , Société Mathématique de France, 2003

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Scott, G. Peter
ALTERNATIVE NAMES Scott, Godfrey Peter (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 1945