“Tractatus de configurationibus et qualitatibus et motuum”
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Max Wilhelm Dehn was a German mathematician most famous for his work in geometry, topology and geometric group theory. Dehn's early life and career took place in Germany. However, he was forced to retire in 1935 and eventually fled Germany in 1939 and emigrated to the United States.
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science · German-American mathematician (1878–1952) · mathematician · historian of mathematics · topologist · university teacher · also Max Dehn, Max Wilhelm Dehn, Dehn
Born 13 November 1878 · Died 27 June 1952 · Q61732
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“Tractatus de configurationibus et qualitatibus et motuum”
Text from Wikiquote, available under CC BY-SA 4.0.
Died 1952-06-27.
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Moved to the experimental arts college, Black Mountain College, where he was the only mathematician
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Took a job at the Illinois Institute of Technology, and in 1943 he moved to St
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And eventually fled Germany in 1939 and emigrated to the United States
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Dehn succeeded Ludwig Bieberbach at Frankfurt, where he stayed until he was forced to retire in 1935
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Proved that the left and right trefoil knots are not equivalent
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Dehn invented what is now known as Dehn's algorithm and used it in his work on the word and conjugacy problems for groups
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Dehn published a paper on three-dimensional topology in which he introduced Dehn surgery and used it to construct homology spheres
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Believed that he had found a proof of the Poincaré conjecture, but Tietze found an error
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Described the construction of a new homology sphere
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Wrote with Poul Heegaard the first book on the foundations of combinatorial topology, then known as analysis situs
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Wrote his dissertation on the role of the Legendre angle sum theorem in axiomatic geometry, constructing the Dehn planes as counterexamples to the theorem in geometries without the Archimedean axiom
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Dehn resolved Hilbert's third problem, making him the first to resolve one of Hilbert's 23 problems
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Resolved Hilbert's third problem, by introducing what was afterwards called the Dehn invariant
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And obtained a proof of the Jordan curve theorem for polygons
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Born 1878-11-13.
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