Editing Emmy Noether (section)

=== University of Erlangen ===
From 1908 to 1915, Noether taught at Erlangen's Mathematical Institute without pay, occasionally substituting for her father, [[Max Noether]], when he was too ill to lecture.{{Sfn |Dick|1981|pp=18, 24}} She joined the [[Circolo Matematico di Palermo]] in 1908 and the [[German Mathematical Society|Deutsche Mathematiker-Vereinigung]] in 1909.{{sfn|Dick|1981|p=18}} In 1910 and 1911, she published an extension of her thesis work from three variables to ''n'' variables.{{Sfn |Kosmann-Schwarzbach|2011|p=44}}

[[File:Emmy noether postcard 1915.jpg|thumb|upright=1.2|Noether sometimes used postcards to discuss abstract algebra with her colleague, [[Ernst Sigismund Fischer|Ernst Fischer]]. This card is postmarked 10&nbsp;April 1915.]]
Gordan retired in 1910,{{Sfn |Dick|1981|p=23}} and Noether taught under his successors, [[Erhard Schmidt]] and [[Ernst Sigismund Fischer|Ernst Fischer]], who took over from the former in 1911.{{Sfn |Rowe|2021|p=22}} According to her colleague [[Hermann Weyl]] and her biographer [[Auguste Dick]], Fischer was an important influence on Noether, in particular by introducing her to the work of [[David Hilbert]].{{Sfn |Weyl|1935}}{{Sfn |Dick|1981|pp=23–24}} Noether and Fischer shared lively enjoyment of mathematics and would often discuss lectures long after they were over; Noether is known to have sent postcards to Fischer continuing her train of mathematical thoughts.{{Sfn|Kimberling|1981|pp=11–12}}{{Sfn|Dick|1981|pp=18–24}}

From 1913 to 1916, Noether published several papers extending and applying Hilbert's methods to mathematical objects such as [[field (mathematics)|fields]] of [[rational function]]s and the [[invariant theory|invariants]] of [[finite group]]s.{{Sfn |Rowe|2021|pp=29–35}} This phase marked Noether's first exposure to [[abstract algebra]], the field to which she would make groundbreaking contributions.{{sfn|Rowe|Koreuber|2020|p=27}}

In Erlangen, Noether advised two doctoral students:<ref name="MacTutorStudents">{{MacTutor|class=Extras|id=Noether_students|title=Emmy Noether's doctoral students |date=November 2014}}</ref> Hans Falckenberg and Fritz Seidelmann, who defended their theses in 1911 and 1916.{{sfn|Falckenberg|1912}}{{sfn|Seidelmann|1917}} Despite Noether's significant role, they were both officially under the supervision of her father. Following the completion of his doctorate, Falckenberg spent time in [[Braunschweig]] and [[Königsberg]] before becoming a professor at the [[University of Giessen]]{{sfn|Dick|1981|p=16}} while Seidelmann became a professor in [[Munich]].<ref name="MacTutorStudents"/>