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 |
Godfrey Peter Scott, known as Peter Scott, (1944 – 19 September 2023) was a British-American mathematician, known for the Scott core theorem.
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 [math]\displaystyle{ M }[/math] with finitely generated fundamental group has a compact core [math]\displaystyle{ N }[/math], i.e., [math]\displaystyle{ N }[/math] is a compact submanifold such that inclusion induces a homotopy equivalence between [math]\displaystyle{ N }[/math] and [math]\displaystyle{ M }[/math]; the submanifold [math]\displaystyle{ N }[/math] is called a Scott compact core of the manifold [math]\displaystyle{ M }[/math].[3] He had previously proved that, given a fundamental group [math]\displaystyle{ G }[/math] of a 3-manifold, if [math]\displaystyle{ G }[/math] is finitely generated then [math]\displaystyle{ G }[/math] 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]
Original source: https://en.wikipedia.org/wiki/G. Peter Scott.
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