Heinz Hopf was a German mathematician who worked on the fields of dynamical systems, topology and geometry.
Hopf in 1954
Amalie Emmy Noether was a German mathematician who made many important contributions to abstract algebra. She proved Noether's first and second theorems, which are fundamental in mathematical physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws.
Noether c. 1900–1910
Noether grew up in the Bavarian city of Erlangen, depicted here in a 1916 postcard.
Emmy Noether with her brothers Alfred, Fritz, and Robert, before 1918.
Paul Gordan supervised Noether's doctoral dissertation on invariants of biquadratic forms.