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**Godfrey Peter Scott**, known as **Peter Scott**, (1944 – 19 September 2023) was a British-American mathematician, known for the Scott core theorem.

G. Peter Scott | |
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Born | Godfrey Peter Scott 1944 England |

Died | September 19, 2023 Michigan, United States | (aged 78–79)

Other names | Peter Scott |

Alma mater | University of Oxford University of Warwick |

Known for | Scott core theorem |

Awards | Senior Berwick Prize Fellow of the American Mathematical Society |

Scientific career | |

Fields | Mathematics |

Institutions | University of Liverpool University of Michigan |

Thesis | Some Problems in Topology (1969) |

Doctoral advisor | Brian Joseph Sanderson |

He was born in England to Bernard Scott (a mathematician) and Barbara Scott (a poet and sculptor). After completing his BA at the University of Oxford,^{[1]} Peter Scott received his PhD in 1969 from the University of Warwick under Brian Joseph Sanderson, with thesis *Some Problems in Topology*.^{[2]} Scott held appointments at the University of Liverpool from 1968 to 1987, at which time he moved to the University of Michigan, where he was a professor until his retirement in 2018.^{[1]}

His research dealt with low-dimensional geometric topology, differential geometry, and geometric group theory. He has done research on the geometric topology of 3-dimensional manifolds, 3-dimensional hyperbolic geometry, minimal surface theory, hyperbolic groups, and Kleinian groups with their associated geometry, topology, and group theory.

In 1973, he proved what is now known as the *Scott core theorem* or the *Scott compact core theorem*. This states that every 3-manifold with finitely generated fundamental group has a compact core , *i.e.*, is a compact submanifold such that inclusion induces a homotopy equivalence between and ; the submanifold is called a *Scott compact core* of the manifold .^{[3]} He had previously proved that, given a fundamental group of a 3-manifold, if is finitely generated then must be finitely presented.

In 1986, he was awarded the Senior Berwick Prize by the London Mathematical Society.^{[1]} In 2013, he was elected a Fellow of the American Mathematical Society.^{[4]}

Scott died of cancer on 19 September 2023.^{[1]}

*Compact submanifolds of 3-manifolds*, Journal of the London Mathematical Society. Second Series vol. 7 (1973), no. 2, 246–250 (proof of the theorem on the compact core) doi:10.1112/jlms/s2-7.2.246*Finitely generated 3-manifold groups are finitely presented.*J. London Math. Soc. Second Series vol. 6 (1973), 437–440 doi:10.1112/jlms/s2-6.3.437*Subgroups of surface groups are almost geometric.*J. London Math. Soc. Second Series vol. 17 (1978), no. 3, 555–565. (proof that surface groups are LERF) doi:10.1112/jlms/s2-17.3.555*Correction to "Subgroups of surface groups are almost geometric*J. London Math. Soc. vol. 2 (1985), no. 2, 217–220 doi:10.1112/jlms/s2-32.2.217

*There are no fake Seifert fibre spaces with infinite π*Annals of Mathematics Second Series, vol. 117 (1983), no. 1, 35–70 doi:10.2307/2006970_{1}.- Freedman, Michael; Hass, Joel; Scott, Peter (1982). "Closed geodesics on surfaces".
*Bulletin of the London Mathematical Society*.**14**(5): 385–391. doi:10.1112/blms/14.5.385. - Freedman, Michael; Hass, Joel; Scott, Peter (1983). "Least area incompressible surfaces in 3-manifolds".
*Inventiones Mathematicae*.**71**(3): 609–642. Bibcode:1983InMat..71..609F. doi:10.1007/BF02095997. hdl:2027.42/46610. S2CID 42502819. - with William H. Meeks:
*Finite group actions on 3-manifolds.*Invent. Math. vol. 86 (1986), no. 2, 287–346 doi:10.1007/BF01389073 *Introduction to 3-Manifolds*, University of Maryland, College Park 1975- Scott, Peter (1983). "The Geometries of 3-Manifolds" (PDF).
*Bulletin of the London Mathematical Society*.**15**(5): 401–487. doi:10.1112/blms/15.5.401. hdl:2027.42/135276. - with Gadde A. Swarup:
*Regular neighbourhoods and canonical decompositions for groups*, Société Mathématique de France, 2003 - with Gadde A. Swarup:
*Regular neighbourhoods and canonical decompositions for groups*, Electron. Res. Announc. Amer. Math. Soc. vol. 8 (2002), 20–28 doi:10.1090/S1079-6762-02-00102-6

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^{a}^{b}^{c}^{d}"G. Peter Scott, 1944–2023". University of Michigan. Retrieved 2 December 2023. **^**G. Peter "Godfrey" Scott at the Mathematics Genealogy Project**^**Kapovich, Michael (2009).*Hyperbolic Manifolds and Discrete Groups*. p. 113. ISBN 9780817649135.**^**"List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 2 December 2023.