Emmy Noether
Amalie Emmy Noether ( Emmy was the nickname; born March 23, 1882 in Erlangen ; died April 14, 1935 in Bryn Mawr , Pennsylvania ) was a German mathematician who made fundamental contributions to abstract algebra and theoretical physics . In particular, Noether revolutionized the theory of rings , solids and algebras . The Noether theorem named after her indicates the connection between symmetries of physical laws of nature and conserved quantities .
Life
Origin and youth
Emmy Noether came from a Jewish family. Today a plaque in Erlanger Hauptstrasse reminds of the house where she was born. Her father Max Noether held a chair for mathematics at the University of Erlangen . Her younger brother, the mathematician Fritz Noether , fled from the National Socialists to the Soviet Union , where he was convicted and shot in the course of the Great Terror under Stalin for alleged antiSoviet propaganda.
Emmy Noether showed no particular precociousness in mathematics, but was interested in music and dancing in her youth. She attended the municipal secondary school for girls  today's MarieThereseGymnasium  in Schillerstrasse in Erlangen. Mathematics was not taught intensively there. In April 1900 she passed the state examination to teach English and French at girls' schools in Ansbach . In 1903, she took the external Abitur examination at the Royal Realgymnasium  today's WillstätterGymnasium  in Nuremberg .
Study and job
1903 women were first at Bavarian universities to study approved, which also Emmy Noether, the enrollment at the University of Erlangen allowed. Before that she had already attended lectures at the University of Göttingen with the permission of individual professors , but had to return to Erlangen due to an illness . There she received her PhD in mathematics under Paul Gordan in 1907 . This made her the second German to receive a doctorate in mathematics at a German university. In 1908 she became a member of the Circolo Matematico di Palermo , in 1909 she joined the German Mathematicians Association .
In the same year she was called by Felix Klein and David Hilbert to the GeorgAugustUniversität Göttingen , because she was meanwhile a big name in the research field of differential invariants . At that time Göttingen was considered the leading mathematical center in the world. Encouraged by Klein and Hilbert, Noether applied for a habilitation in Göttingen on July 20, 1915 . The application was followed by intense controversial discussions in the faculty, in which many faculty members spoke out against women receiving a habilitation. Ultimately, however, Hilbert and Klein were able to prevail; Hilbert's statement in this connection that “a faculty is not a bathing establishment” became famous.
Since the habilitation of women at Prussian universities was prohibited by a decree of May 29, 1908, the mathematical and natural science department of the Philosophical Faculty of the University of Göttingen made an official application to the Prussian minister on November 26, 1915:
"Your Excellency
asks the mathematics and natural sciences department of the Philosophical Faculty of the Göttingen University respectfully, in the case of Miss Dr. Emmy Noether (for mathematics) to want to grant dispensation from the decree of May 29, 1908, according to which the habilitation of women is inadmissible. "
It was explicitly added that it was in no way about lifting the prohibition of habilitation for women, but only about a onetime exemption for “Miss. Dr. Noether ":
“Our motion does not aim to repeal the decree; we only ask for a dispensation for this unique case. "
In the minister’s negative reply of November 5, 1917, it said:
“The admission of women to postdoctoral qualifications as private lecturers continues to meet considerable concerns in academic circles. Since the question can only be decided in principle, I am also unable to approve the admission of exceptions, even if certain hardships are unavoidable in individual cases. Should the fundamental position of the faculties, on which the decree of May 29, 1908 counts, change, I am ready to examine the question again. "
Emmy Noether then had no choice but to announce her lectures under the name of Hilbert, as his assistant she acted.
After the First World War and the collapse of the German Empire , there was a general legal improvement for women in the Weimar Republic . In addition to the right to vote , the habilitation regulations were also changed so that women could also be admitted to the habilitation. In 1919, Emmy Noether was the first woman in Germany to complete her habilitation in mathematics. She was also the first woman in Germany to receive a (noncivil) professorship. Nevertheless, she did not get an extraordinary professorship until 1922 and her first paid teaching position in 1923. She never received a full professorship, in contrast to her younger brother Fritz, who was less important in mathematics and became a full professor in 1922. Until the hyperinflation in the same year , she lived very frugally on an inheritance. In 1928/29 she took on a visiting professorship in Moscow , and in 1930 in Frankfurt am Main . When she returned from the Soviet Union, she made very positive comments about the situation there, which is why the National Socialists later assumed that she was a communist . Emmy Noether professed pacifism and was a member of the USPD from 1919 to 1922 , then of the SPD until 1924 . Together with Emil Artin , she received the AckermannTeubner Memorial Prize in 1932 for all of her scientific achievements. In 1932 she gave a plenary lecture at the International Congress of Mathematicians in Zurich (Hypercomplex systems and their relationships to commutative algebra and number theory).
United States
1933 Emmy Noether was the socalled Law for the Restoration of the Professional Civil Service by the Nazi regime her teaching license revoked. She then emigrated to the USA. Before making this decision, she also considered going to Moscow. But the efforts of her friend there, the topologist Pavel Alexandrov , to obtain approval from the Soviet authorities dragged on for too long. Her former colleague from Göttingen, Hermann Weyl , helped her to find a job in the USA . In late 1933 she received a visiting professorship at Bryn Mawr Women's College in Pennsylvania . From 1934 Emmy Noether also gave lectures at the Institute for Advanced Study . There she influenced Oscar Zariski and probably Nathan Jacobson (and she also influenced Abraham Adrian Albert with her new approach to algebra ). She returned to Europe in 1934 and visited Emil Artin and her brother Fritz in Germany. Emmy Noether died on April 14, 1935 of complications from an abdominal operation that had become necessary because of a tumor. She found her final resting place under the cloister of the M. Carey Thomas Library on the campus of Bryn Mawr College .
Act
Emmy Noether is one of the founders of modern algebra . Her mathematical profile developed in collaboration and discussions with Professor Paul Gordan from Erlangen , who also became her doctoral supervisor. He was often called the "King of the Invariants". The invariant theory occupied Emmy Noether until 1919.
Deviating from Gordan's main interests, Noether turned to dealing with abstract algebraic methods. Gordan had commented on Hilbert's proof of his basic theorem, which generalized many of Gordan's results, but was a pure proof of existence, by saying that this was not mathematics but theology.
From 1920 she shifted her research focus to the general ideal theory . She founded her own school in Göttingen: since the mid1920s she found a number of highly talented students from all over the world who gathered around her. She called her students her "Trabanten" or the "NoetherKnaben". Her doctoral students include Grete Hermann , Jakob Levitzki , Max Deuring , Ernst Witt , whose official supervisor was Herglotz , Heinrich Grell , Chiungtze Tsen , Hans Fitting , Otto Schilling and her student group Bartel Leendert van der Waerden . Other prominent algebraists in Germany associated with the school were Emil Artin, Helmut Hasse (with whom she proved the important BrauerHasseNoether theorem in the theory of algebras) and Wolfgang Krull .
In Göttingen, then the world center for mathematical research, she built her own mathematical school. Van der Waerden wrote in his famous twovolume Algebrawerk ( Modern Algebra ) that it also built on lectures by Emil Artin and Emmy Noether. Noether is also assigned a decisive role in the implementation of abstract algebraic methods in topology , almost exclusively through oral contributions, for example in Heinz Hopf's lectures in 1926/27 in Göttingen and in her own lectures around 1925. This also influenced the topologist Pawel Sergejewitsch Alexandrow , who visited Göttingen.
She also achieved extraordinary results in theoretical physics and in 1918, with the Noether theorem, laid the foundation for a new way of looking at conserved quantities . 50 years after her death, in the last quarter of the 20th century, Noether's theorem developed into one of the most important foundations of modern physics.
Honors
The following mathematical structures and sentences are named after Emmy Noether:
 Noetherian order : A semiordered set that does not contain any infinite genuinely descending chains.
 Noetherian Induction : A variant of transfinite induction.
 Noetherian space : A topological space in which an ascending chain condition applies to open sets.
 Noetherian module : An Rleft module in which each submodule is finitely generated.
 Noetherian ring : A ring that is Noetherian as an Rleft module and as an Rright module.
 LaskerNoether theorem : For every true ideal in a Noetherian ring there is a primary decomposition .
 Noether's normalization theorem : A finitely generated algebra over a field is finite over a polynomial ring.
 Noether theorem : Every continuous symmetry of a physical system has a conservation quantity.
Also named after Emmy Noether:
 The Emmy Noether Program of the German Research Foundation for the promotion of young scientists.
 The Noether Lecture , an annual honor by the Association for Woman in Mathematics in the USA for women who have made fundamental and lasting contributions to mathematics, and the ICM Emmy Noether Lecture by the International Mathematical Union , held at the International Congress of Mathematicians.
 The EmmyNoetherCampus of the University of Siegen am Fischbacherberg , on which the departments of mathematics and physics are located.
 The EmmyNoetherGymnasium , a high school in Berlin TreptowKöpenick.
 The EmmyNoetherGymnasium (Erlangen) , a science and technology high school in ErlangenBruck.
 The Emmy Noether School , a new secondary school in Neuenkirchen (Steinfurt district) that was founded in the 2015/16 school year .
 A large lecture hall in the mathematical institute of the University of ErlangenNuremberg.
 The Nöther crater on the back of the moon.
 The main belt asteroid (7001) Noether .
 The EmmyNoether Association e. V. with book publications in MINT Verlag Bad Wörishofen .
 Streets in numerous cities, including Bonn, Bremen, Erlangen, Freiburg, Hanover, Göttingen, Heidelberg, Karlsruhe, Cologne, Landsberg am Lech, Leverkusen, Lüneburg, Munich and NeuUlm.
Further honors:
 Emmy Noether's bust has been in the Hall of Fame in Munich since April 2009 .
 A  literarily free  appreciation of her life and work can be found in the novel "Abendland" by Michael Köhlmeier .
 On March 23, 2015, for his 133rd birthday, Google honored Emmy Noether with its own Google Doodle : “NoetherDoodle”.
 The only public place in the center of Göttingen that reminds of Emmy Noether is a memorial plaque in the Stadtbad.
In July 2020, the student parliament of the GeorgAugust University of Göttingen voted for this to be renamed the Emmy Noether University.
Fonts
 About the formation of the form system of the ternary biquadratic form. Erlangen 1908, OCLC 313561222 (inaugural dissertation University of Erlangen 1907, 72 pages).
 The finiteness law of the invariants of finite groups. In: Mathematical Annals . 77, 1915, pp. 8992, GDZ
 Invariant variation problems. In: Nachr. D. König. Society D. Wiss. To Göttingen, Mathphys. Class. Weidmannsche Buchhandlung, Berlin 1918, pp. 235257, full text at Wikisource
 Ideal theory in ring areas. In: Mathematical Annals . 83, 1921, pp. 2466, GDZ
 Nathan Jacobson (Ed.): Gesammelte Abhandlungen / Collected Papers. Springer, Berlin a. a. 1983, ISBN 3540115048 .
 Franz Lemmermeyer , Peter Roquette (eds.): Helmut Hasse and Emmy Noether. The correspondence 1925–1935. (PDF; 4 MB). Universitätsverlag Göttingen, Göttingen 2006, ISBN 3938616350 .
literature

Auguste Dick : Emmy Noether. 1882–1935 (= elements of mathematics. Brief mathematicians' biographies, Appendix 13). Birkhäuser, Basel 1970, DNB 456448861 .
 English translation, Birkhäuser 1981.
 James Brewer, Martha K. Smith (Eds.): Emmy Noether. A Tribute to Her Life and Work. Dekker, New York 1981 (therein by Clark Kimberling: Emmy Noether and her Influence. Pp. 361).
 Alain Herreman: Topology becomes algebraic with Emmy Noether. Linear combinations and the algebraisation of topology (= Preprint. MPI for the History of Science, Vol. 106). Berlin 1998, DNB 956466419 .
 Clark Kimberling : Emmy Noether. In: American Mathematical Monthly. February 1972, p. 136.
 Mechthild Koreuber: Emmy Noether, the Noether School and Modern Algebra. On the history of a cultural movement (= mathematics in context. ) Springer, Spektrum, Heidelberg 2015, ISBN 9783662441497 (dissertation TU Braunschweig 2014, 368 pages).
 Peter Roquette : The BrauerHasseNoether Theorem in Historical Perspective (= writings of the mathematical and natural science class of the Heidelberg Academy of Sciences. 15). Springer, Berlin a. a. 2005, ISBN 354023005X .
 Margaret BW Tent: Emmy Noether. The Mother of Modern Algebra. A. K. Peters, Wellesley, Massachusetts, 2008, ISBN 9781568814308 .
 Renate Tobies : Emmy Noether  “Gentlemen, a university is not a bathing establishment!” In: Spectrum of Science. August 2004, pp. 7077.
 Cordula Tollmien : “Are we of the opinion that a female head can only be creative in mathematics in exceptional cases?”  a biography of the mathematician Emmy Noether (1882–1935) and at the same time a contribution to the history of women's habilitation at the University of Göttingen. In: Göttinger Jahrbuch. 38, 1990, pp. 153219, ISSN 00724882 .
 Bartel L. van der Waerden : A History of Algebra. From alKhwarizmi to Emmy Noether. Springer, Berlin a. a. 1985, ISBN 354013610X .
 Van der Waerden : Obituary for Emmy Noether. In: Mathematical Annals. Volume 111, 1935, pp. 469476.
 Van der Waerden: The school of Hilbert and Emmy Noether. In: Bulletin of the London Mathematical Society. Volume 15, 1983, pp. 17.
 Michaela Karl : Emmy Noether: The mother of the new algebra. In: Bavarian Amazons  12 portraits. Pustet, Regensburg 2004, ISBN 3791718681 , pp. 8496.
 Knut Radbruch : Emmy Noether: Mathematician with a bright look in dark times. ( Memento from July 31, 2010 on WebCite ). (PDF; 1.3 MB). In: Erlanger University Speeches. No. 71/2008, 3rd episode.
 Rudolf Fritsch : Noether, Amalie Emmy. In: New German Biography (NDB). Volume 19, Duncker & Humblot, Berlin 1999, ISBN 3428002008 , p. 320 f. ( Digitized version ).
 Johanna Klatt: Amalie Emmy Noether. Emmy and "her boys". In: Stine Marg , Franz Walter (Hrsg.): Göttingen heads and their work in the world. Vandenhoeck & Ruprecht, Göttingen 2012, ISBN 9783525300367 , pp. 7380.
 Reinhard SiegmundSchultze : Göttinger Feldgraue, Einstein and the delayed perception of Emmy Noether's sentences about invariant problems of variation (1918). In: Communications DMV. Volume 19, 2011, pp. 100104, ISSN 09474471 , DOI: 10.1515 / dmvm20110046 (free access).
 Reinhard SiegmundSchultze: Emmy Noether  "the experiment of making a woman a professor" . In: Communications DMV. Volume 25, 2017, pp. 157163, doi: 10.1515 / dmvm20170047 (free access).
Web links
 Literature by and about Emmy Noether in the catalog of the German National Library
 John J. O'Connor, Edmund F. Robertson : Emmy Noether. In: MacTutor History of Mathematics archive .
 Emmy Noether  mp4 feature about life and work including a popular science explanation of the Noether theorem by Prof. Ernst Peter Fischer at the RadioWissen media library bronline.de, accessed on April 5, 2014.
 Short biography at the University of Göttingen
 Emmy Noether on FemBiography
 Mathematicians in the Nazi era  EN (detailed tabular form. Life data with various photos)
 Very detailed life data, sources, and appreciations compiled by Cordula Tollmien
 Peter Roquette: For Emmy Noether's Birthday  Some New Noetheriana. (PDF; 117 kB)  also here (PDF; 114 kB)
 Obituary by Albert Einstein
 Emmy Noether: mother of modern algebra
 Spektrum .de: Amalie Emmy Noether (1882–1935) March 1, 2012
 Wolfgang Burgmer: 04/14/1935  Death of Emmy Noether WDR time mark of 14 April 2020. (podcast inter alia with Mechthild Koreuber..)
 Emmy Noether in the Mathematics Genealogy Project (English)
Individual evidence
 ^ The first was Marie Gernet in Heidelberg in 1895 with Leo Koenigsberger , who was also the first mathematician to receive a doctorate with a rigorosum (doctoral examination). In Bern in 1907 Annie Reineck (who came from Thuringia) also received her doctorate before Emmy Noether. See: Renate Tobies (Ed.): "All male culture in spite of". Women in math and science . With a foreword by Knut Radbruch . Campus, Frankfurt a. M./New York 1997, ISBN 3593357496 , pp. 137 ( limited preview in Google Book search).

↑ Constance Reid: HilbertCourant. Springer 1986, p. 143.
This remark also has a concrete background. The Göttingen mathematicians met regularly in the Klieschen Badeanstalt an der Leine , which was only approved for men, with the exception of Emmy Noether, who regularly bathed there, and Nina Courant, Richard Courant's wife and Carl Runge's daughter .
P. Alexandroff: Heinz Hopf in memory. ( Memento from November 27, 2015 in the Internet Archive ). Annual report DMV 1976.  ↑ ^{a } ^{b} Cordula Tollmien: "Are we of the opinion that a female head can only exceptionally be creative in mathematics ..." Emmy Noether 1882–1935, at the same time a contribution to the history of women's habilitation at the University of Göttingen. In: Göttinger Jahrbuch. 38, 1990, p. 163.
 ↑ Cordula Tollmien: "Are we of the opinion that a female head can only exceptionally be creative in mathematics ..." Emmy Noether 1882–1935, at the same time a contribution to the history of the habilitation of women at the University of Göttingen. In: Göttinger Jahrbuch. 38, 1990, p. 181.
 ↑ Renate Tobies: Women in Mathematics. DMV.
 ^ Reinhard SiegmundSchulze: Mathematicians fleeing from NaziGermany. Princeton University Press 2009, p. 290.
 ↑ Constance Reid: HilbertCourant. Springer 1986, p. 34 (edition in one volume).

↑ In publications only a short communication
deriving the elementary divider theory from group theory. Annual report DMV, Volume 34, 1926, 2nd department, p. 104, message of January 27, 1925.
Alexandroff mentions in his memoirs (Russ. Math. Surveys 1979) that Emmy Noether her idea of introducing Bettigruppen of complexes in a Dined dinner at Brouwer's house in December 1925 .
Frei, Stammbach: Heinz Hopf. In I. James: History of Topology. 1999, p. 996.  ^ Noether: Invariant Variation Problems. News of the Royal Society of Sciences in Göttingen, MathematicalPhysical Class, 1918, pp. 235257, English translation.
 ^ EmmyNoetherWeg in the Bonn street cadastre
 ↑ Google.de/Maps.
 ↑ EmmyNoetherStrasse. At: Leverkusen.com.
 ↑ 133rd birthday of Emmy Noether. At: Google.com/Doodles.
 ↑ Table for the appreciation of Emmy Noether in the municipal bathing establishment
 ↑ Göttingen: Will the Georg August University soon be called Emmy Noether University? Retrieved July 14, 2020 .
personal data  

SURNAME  Noether, Emmy 
ALTERNATIVE NAMES  Noether, Amalie Emmy 
BRIEF DESCRIPTION  German mathematician 
DATE OF BIRTH  March 23, 1882 
PLACE OF BIRTH  Erlangen , German Empire 
DATE OF DEATH  April 14, 1935 
Place of death  Bryn Mawr , Pennsylvania , United States 