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Friedrich Schottky attended the Humanistisches Gymnasium St Magdalenen in Breslau. After graduating from the Gymnasium he entered the University of Breslau in 1870, graduating in 1874. After leaving Breslau he studied at the University of Berlin under Weierstrass and Helmholtz and obtained his doctorate in 1875.
After obtaining his doctorate, Schottky taught at the University of Berlin from 1875 until 1882 when he was appointed professor of mathematics in Zurich. He held this appointment in Zurich for ten years before moving to another chair at the University of Marburg in 1892. Keeping up his move every ten years he went to a chair at the University of Berlin in 1902 but remained there for twenty years until he retired in 1922.
Most of Schottky's work concerns elliptic, abelian and theta functions. His doctoral thesis is an important contribution to conformal mappings of multiply connected plane domains. This was the origin of the mapping of a domain bounded by three disjoint circles which provides an example of an automorphic function with a Cantor set boundary.
Schottky's thesis also discusses conformal mappings of domains bounded by circular and conic arcs. This work was published in 1877. Schottky's Theorem (1904) is related to Picard's Theorem.
Schottky published 55 papers and, in 1880, a book Abriss einer Theorie der Abel'schen Functionen von drei Variablen. In [1] Hans Freudenthal writes:-
His work is difficult to read. Although he was a student of Weierstrass, his approach to function theory was Riemannian in spirit, combined with Weierstrassian rigor.
Article by: J J O'Connor and E F Robertson
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