University of Münster Goethe University Frankfurt Black Mountain College
Doctoral advisor
David Hilbert
Doctoral students
Ott-Heinrich Keller Wilhelm Magnus Ruth Moufang
Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) 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.[1]
Dehn was a student of David Hilbert, and in his habilitation in 1900 Dehn resolved Hilbert's third problem, making him the first to resolve one of Hilbert's well-known 23 problems. Dehn's doctoral students include Ott-Heinrich Keller, Ruth Moufang, and Wilhelm Magnus;[2] he also mentored mathematician Peter Nemenyi and the artists Dorothea Rockburne[3] and Ruth Asawa.
^The story of his travel in 1940 from Norway via Stockholm, Moscow, trans-Siberian train, Vladivostok, Japan to San Francisco is described in Dawson, J. W. Jr. (2002). "Max Dehn, Kurt Gödel, and the Trans-Siberian Escape Route" (PDF). Notices of the American Mathematical Society. 49: 1068–1075.
^Max Dehn at the Mathematics Genealogy Project
^Peifer, David (March 2011). "Max Dehn: An Artist among Mathematicians and a Mathematician among Artists". Black Mountain College Studies Journal. 1.
Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory...
MaxDehning (born 9 September 2004) is a German track and field athlete who competes in the javelin. From Leverkusen, he was passionate about sports from...
whether a polyhedron or its dissections can tile space. It is named after MaxDehn, who used it to solve Hilbert's third problem by proving that certain polyhedra...
In topology, a branch of mathematics, a Dehn surgery, named after MaxDehn, is a construction used to modify 3-manifolds. The process takes as input a...
In geometry, MaxDehn introduced two examples of planes, a semi-Euclidean geometry and a non-Legendrian geometry, that have infinitely many lines parallel...
their dissections. It was quickly solved by Hilbert's student MaxDehn, introducing the Dehn invariant of polyhedra. Steinitz's theorem, published by Ernst...
In the mathematical subject of geometric group theory, a Dehn function, named after MaxDehn, is an optimal function associated to a finite group presentation...
who gave them their name and established many of their basic properties. MaxDehn realized the connection with topology, and obtained the first proof of...
In geometric topology, a branch of mathematics, a Dehn twist is a certain type of self-homeomorphism of a surface (two-dimensional manifold). Suppose that...
Anni Albers, Ruth Asawa, John Cage, Robert Creeley, Merce Cunningham, MaxDehn, Elaine de Kooning, Willem de Kooning, Buckminster Fuller, Walter Gropius...
torsion in the homology groups of a space. He later co-authored, with MaxDehn, a foundational article on combinatorial topology, in the form of an encyclopedia...
group generated by Dehn twists; this has been proved by MaxDehn, W. B. R. Lickorish, and Allen Hatcher).[citation needed] MaxDehn and Jakob Nielsen showed...
geometry but also low-dimensional topology (in particular the results of MaxDehn concerning the fundamental group of a hyperbolic Riemann surface, and more...
second sense of the term, was the word problem for groups, first posed by MaxDehn in 1911, which asks if there is a finitely presented group for which no...
is frequently attributed to Gary H. Meisters, but was proved earlier by MaxDehn. A simple polygon is a simple closed curve in the Euclidean plane consisting...
subject of topology. These topologists in the early part of the 20th century—MaxDehn, J. W. Alexander, and others—studied knots from the point of view of the...
refer to isomorphic groups. The isomorphism problem was formulated by MaxDehn, and together with the word problem and conjugacy problem, is one of three...
as the transformation problem. The conjugacy problem was identified by MaxDehn in 1911 as one of the fundamental decision problems in group theory; the...
1926, the year after the matrix mechanics formulation of quantum theory by Max Born and Werner Heisenberg, the mathematician John von Neumann became an...
opposed to Nazism, was a close friend of the docents Ernst Hellinger and MaxDehn and used his influence to help them. This attitude prevented Siegel's appointment...
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