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Max Dehn

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Max Wilhelm Dehn (13 November 1878 to 27 June 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory. He was born to a family of Jewish origin in Hamburg and studied the foundations of geometry with David Hilbert at Göttingen in 1899, obtaining a proof of the Jordan curve theorem for polygons. In 1900 he wrote his dissertation on the role of the Legendre angle sum theorem in axiomatic geometry, constructing the Dehn planes as counterexamples, and in his habilitation in 1900 he resolved Hilbert's third problem, the first of Hilbert's 23 problems to be resolved. He was forced to retire in 1935, fled Germany in 1939 and emigrated to the United States. His doctoral students include Ott-Heinrich Keller, Ruth Moufang and Wilhelm Magnus.

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Biography
Gender
Male 1
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Attributed Works

Source Dehn Invariant (Wikipedia)
Manifold, Concepts
Source Manifold (Wikipedia)

In Branch

Source Wikipedia: Max Dehn
Source Wikipedia: Max Dehn
Source Wikipedia: Max Dehn

Mentored

Source Ott-Heinrich Keller (MacTutor biography)
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Sources
1. Wikipedia: Max Dehn
Lead
Quote, Lead
He studied the foundations of geometry with Hilbert at Göttingen in 1899, and obtained a proof of the Jordan curve theorem for polygons.
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Ott-Heinrich Keller (MacTutor biography)
Mentored: Ott-Heinrich Keller, Biography
Quote, Mentored: Ott-Heinrich Keller, Biography
His doctoral studies were supervised by Max Dehn
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Dehn Invariant (Wikipedia)
Attributed Works: Dehn Invariant, Lead
Quote, Attributed Works: Dehn Invariant, Lead
Hilbert's student Max Dehn, in his 1900 habilitation thesis, invented the Dehn invariant in order to solve this problem.
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Manifold (Wikipedia)
Wikimedia FoundationAttributed Works: Manifold, Lead
Quote, Attributed Works: Manifold, Lead
Two-dimensional manifolds, also known as a 2D surfaces embedded in our common 3D space, were considered by Riemann under the guise of Riemann surfaces, and rigorously classified in the beginning of the 20th century by Poul Heegaard and Max Dehn
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