Editing Emmy Noether (section)

==== Habilitation and Noether's theorem ====
In the spring of 1915, Noether was invited to return to the University of Göttingen by David Hilbert and [[Felix Klein]]. Their effort to recruit her was initially blocked by the [[Philology|philologists]] and [[historian]]s among the philosophical faculty, who insisted that women should not become ''[[privatdozent]]en''. In a joint department meeting on the matter, one faculty member protested: "What will our soldiers think when they return to the university and find that they are required to learn at the feet of a woman?"{{Sfn|Kimberling|1981|p=14}}{{Sfn|Lederman|Hill|2004|p=72}} Hilbert, who believed Noether's qualifications were the only important issue and that the sex of the candidate was irrelevant, objected with indignation and scolded those protesting her habilitation. Although his exact words have not been preserved, his objection is often said to have included the remark that the university was "not a bathhouse."{{Sfn|Weyl|1935}}{{Sfn|Kimberling|1981|p=14}}{{sfn|Rowe|Koreuber|2020|pp=75–76}}{{Sfn|Dick|1981|p=32}} According to [[Pavel Alexandrov]]'s recollection, faculty members' opposition to Noether was based not just in sexism, but also in their objections to her [[Socialist democracy|social-democratic]] political beliefs and Jewish ancestry.{{sfn|Dick|1981|p=32}}

[[File:Hilbert.jpg|thumb|left|upright|[[David Hilbert]] invited Noether to join Göttingen mathematics department in 1915, challenging the views of some of his colleagues that a woman should not teach at a university.]]
Noether left for Göttingen in late April; two weeks later her mother died suddenly in Erlangen. She had previously received medical care for an eye condition, but its nature and impact on her death is unknown. At about the same time, Noether's father retired and her brother joined the [[German Army (German Empire)|German Army]] to serve in [[World War I]]. She returned to Erlangen for several weeks, mostly to care for her aging father.{{Sfn|Dick|1981|pp=24–26}}

During her first years teaching at Göttingen, she did not have an official position and was not paid. Her lectures often were advertised under Hilbert's name, and Noether would provide "assistance".{{Sfn |Byers|2006|pp=91–92}}

Soon after arriving at Göttingen, she demonstrated her capabilities by proving the [[theorem]] now known as [[Noether's theorem]] which shows that a [[Conservation law (physics)|conservation law]] is associated with any differentiable [[symmetry in physics|symmetry of a physical system]].{{Sfn|Lederman|Hill|2004|p=72}}{{sfn|Byers|2006|p=86}} The paper, ''Invariante Variationsprobleme'', was presented by a colleague, [[Felix Klein]], on 26 July 1918 at a meeting of the Royal Society of Sciences at Göttingen.{{Sfn|Noether|1918c|p=235}}{{sfn|Rowe|Koreuber|2020|p=3}} Noether presumably did not present it herself because she was not a member of the society.{{Sfn|Byers|1996|p=2}} American physicists [[Leon M. Lederman]] and [[Christopher T. Hill]] argue in their book ''Symmetry and the Beautiful Universe'' that Noether's theorem is "certainly one of the most important mathematical theorems ever proved in guiding the development of [[modern physics]], possibly on a par with the [[Pythagorean theorem]]".{{Sfn|Lederman|Hill|2004|p=73}}

[[File:Mathematik Göttingen.jpg|thumb|210px|The University of Göttingen allowed Noether's ''[[habilitation]]'' in 1919, four years after she had begun lecturing at the school.]]
When World War I ended, the [[German Revolution of 1918–1919]] brought a significant change in social attitudes, including more rights for women. In 1919 the University of Göttingen allowed Noether to proceed with her ''[[habilitation]]'' (eligibility for tenure). Her oral examination was held in late May, and she successfully delivered her ''habilitation'' lecture in June 1919.{{Sfn |Dick|1981|pp=32–24}} Noether became a ''privatdozent'',{{Sfn |Kosmann-Schwarzbach|2011|p=49}} and she delivered that fall semester the first lectures listed under her own name.{{Sfn |Dick|1981|pp=36–37}} She was still not paid for her work.{{Sfn |Byers|2006|pp=91–92}}

Three years later, she received a letter from {{ill|Otto Boelitz|de}}, the [[Prussia]]n Minister for Science, Art, and Public Education, in which he conferred on her the title of ''nicht beamteter [[ausserordentlicher Professor]]'' (an untenured professor with limited internal administrative rights and functions).{{Sfn|Dick|1981|p=188}} This was an unpaid "extraordinary" [[professor]]ship, not the higher "ordinary" professorship, which was a civil-service position. Although it recognized the importance of her work, the position still provided no salary. Noether was not paid for her lectures until she was appointed to the special position of ''Lehrbeauftragte für Algebra'' (''Lecturer for Algebra'') a year later.{{Sfn|Kimberling|1981|pp=14–18}}{{Sfn|Dick|1981|pp=33–34}}