| Arthur Moritz Schoenflies | |
| Birth Date: | 1853 4, df=y |
| Birth Place: | Landsberg an der Warthe, Brandenburg, Prussia |
| Death Place: | Frankfurt am Main, Hesse-Nassau, Germany |
| Resting Place: | Frankfurt Main Cemetery |
| Fields: | Group theory, crystallography, and topology |
| Alma Mater: | University of Berlin |
| Thesis Title: | Synthetisch-geometrische Untersuchungen über Flächen zweiten Grades und eine aus ihnen abgeleitete Regelfläche |
| Thesis Year: | 1877 |
| Doctoral Advisors: | Ernst Kummer Karl Weierstrass |
| Known For: | Schoenflies problem Jordan–Schoenflies theorem Schoenflies notation Schoenflies displacement |
| Spouse: | Emma Levin (1868–1939) |
| Children: | Hanna (1897–1985), Albert (1898–1944), Elizabeth (1900–1991), Eva (1901–1944), Lotte (1905–1981) |
Arthur Moritz Schoenflies (pronounced as /de/; 17 April 1853 – 27 May 1928), sometimes written as Schönflies, was a German mathematician, known for his contributions to the application of group theory to crystallography, and for work in topology.
Schoenflies was born in Landsberg an der Warthe (modern Gorzów, Poland). Arthur Schoenflies married Emma Levin (1868–1939) in 1896. He studied under Ernst Kummer and Karl Weierstrass, and was influenced by Felix Klein.
The Schoenflies problem is to prove that an
(n-1)
He studied at the University of Berlin from 1870 to 1875. He obtained a doctorate in 1877, and in 1878 he was a teacher at a school in Berlin. In 1880, he went to Colmar to teach.
Schoenflies was a frequent contributor to Klein's encyclopedia: In 1898 he wrote on set theory, in 1902 on kinematics, and on projective geometry in 1910.
He was a great-uncle of Walter Benjamin.