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Emil Artin

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618:. To his great relief, Artin managed to avoid combat by volunteering for service as a translator—his ignorance of Italian notwithstanding. He did know French, of course, and some Latin, was generally a quick study, and was motivated by a highly rational fear in a theater of that war that had often proven a meat-grinder. In his scramble to learn at least some Italian, Artin had recourse to an encyclopedia, which he once consulted for help in dealing with the cockroaches that infested the Austrian barracks. At some length, the article described a variety of technical methods, concluding finally with—Artin laughingly recalled in later years—"la caccia diretta" ("the direct hunt"). Indeed, "la caccia diretta" was the straightforward method he and his fellow infantrymen adopted. 1263:. Emil chose also to teach the honors section of Freshman calculus each year. He was renowned for the elegance of his teaching. Frei and Roquette write that Artin's "main medium of communication was teaching and conversation: in groups, seminars and in smaller circles. We have many statements of people near to him describing his unpretentious way of communicating with everybody, demanding quick grasp of the essentials but never tired of explaining the necessary. He was open to all kinds of suggestions, and distributed joyfully what he knew. He liked to teach, also to young students, and his excellent lectures, always well prepared but without written notes, were hailed for their clarity and beauty." 1274:, which he subscribed to. He spent weeks in the basement attempting to grind the mirror to specifications, without success, and his continued failure to get it right led to increasing frustration. Then, in California to give a talk, he made a side trip to the Mt. Wilson Observatory, where he discussed his project with the astronomers. Whether it was their technical advice, or Natascha's intuitive suggestion that it might be too cold in the basement, and that he should try the procedure upstairs in the warmth of his study (which he did), he completed the grinding of the mirror in a matter of days. With this telescope, he surveyed the night skies over Princeton. 837:. By the time they reached the lower end of SkagafjörĂ°ur, however, they were persuaded by a local farmer from whom they had hoped to rent the horses that a cross-country trek was by then impracticable; with the approach of winter, highland routes were already snow-bound and impassable. Instead of turning south, then, they turned north to SiglufjörĂ°ur, where they boarded another steamer that took them around the western peninsula and down the coast to ReykjavĂ­k. From ReykjavĂ­k, they returned via Norway to Hamburg. By Artin's calculation the distance they had covered on foot through Iceland totaled 450 kilometers. 1170:, a recently invented electronic instrument that simulated the sound of a pipe organ. He wanted this instrument in order primarily to play the works of J. S. Bach, and because the pedal set that came with the production model had a range of only two octaves (not quite wide enough for all the Bach pieces), he set about extending its range. Music was a constant presence in the Artin household. Karin played the cello, and then the piano as well, and Michael played the violin. As in Hamburg, the Artin living room was regularly the venue for amateur chamber music performances. 2435: 574:, and attended a school there. When he returned from France to Reichenberg, his academic work markedly improved, and he began consistently receiving grades of "gut" or "sehr gut" (good or very good) in virtually all subjects—including French and "Comportment." By the time he completed studies at the Realschule in June 1916, he was awarded the Reifezeugnis (diploma—not to be confused with the Abitur) that affirmed him "reif mit Auszeichnung" (qualified with distinction) for graduation to a technical university. 563:
Mathematik zeigte sich erst im sechzehnten Lebensjahr, wĂ€hrend vorher von irgendeiner Anlage dazu ĂŒberhaupt nicht die Rede sein konnte." ("My own predilection for mathematics manifested itself only in my sixteenth year; before that, one could certainly not speak of any particular aptitude for it.") His grade in French for 1912 was actually "nicht genĂŒgend" (unsatisfactory). He did rather better work in physics and chemistry. But from 1910 to 1912, his grade for "Comportment" was "nicht genĂŒgend."
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Wiederherstellung des Berufsbeamtentums) of April 7, 1933. Ironically, he had applied only some months earlier, on February 8, 1937, for a leave of absence from the university in order to accept a position offered him at Stanford. On March 15, 1937, the response had come back denying his application for leave on the grounds that his services to the university were indispensable ("Da die TÀtigkeit des Professors Dr. Artin an der UniversitÀt Hamburg nicht entbehrt werden kann. . .").
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at any age. Artin, in turn, took many fine and evocative portraits of Natascha. Lacking access to a professional darkroom, their films and prints had to be developed in a makeshift darkroom set up each time (and then dismantled again) in the small bathroom of whatever apartment they were occupying. The makeshift darkroom notwithstanding, the high artistic level of the resulting photographic prints is attested to by the exhibit of Natascha's photographs mounted in 2001 by the
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listeners. In this attempt, he must always fail. Mathematics is logical to be sure, each conclusion is drawn from previously derived statements. Yet the whole of it, the real piece of art, is not linear; worse than that, its perception should be instantaneous. We have all experienced on some rare occasion the feeling of elation in realizing that we have enabled our listeners to see at a glance the whole architecture and all its ramifications."
629:, which he passed with the grade of "gut" (good), receiving for the second time the Reifezeugnis (diploma attesting the equivalence of satisfactory completion of 6 years at a Realschule). How this Leipzig Reifezeugnis differed technically from the one he had been granted at Reichenberg is unclear from the document, but it apparently qualified him for regular matriculation as a student at the university, which normally required the Abitur. 1102: 926: 713: 453: 25: 849:
his teaching at the University of Hamburg went beyond the strict boundaries of mathematics to include mechanics and relativity theory. He kept up on a serious level with advances in astronomy, chemistry and biology (he owned and used a fine microscope), and the circle of his friends in Hamburg attests to the catholicity of his interests. It included the painter
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disposal into shipping their entire household, from beds, tables, chairs and double-manual harpsichord down to the last kitchen knife, cucumber slicer, and potato masher to their new home. This is why each of their residences in the United States bore such a striking resemblance to the rooms photographed so beautifully by Natascha in their Hamburg apartment.
664:. In June 1921 he was awarded the Doctor of Philosophy degree, based on his "excellent" dissertation, "Quadratische Körper im Gebiete der höheren Kongruenzen" ("On the Arithmetic of Quadratic Function Fields over Finite Fields"), and the oral examination which—his diploma affirms—he had passed three days earlier "with extraordinary success." 1322:
he moved permanently to Germany. His decision to leave Princeton University and the United States was complicated, based on multiple factors, prominent among them Princeton's (then operative) mandatory retirement age of 65. Artin had no wish to retire from teaching and direct involvement with students. Hamburg's offer was open-ended.
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not ultimately quite hopeless, certainly not good. Hasse, like Blaschke a nationalistic supporter of the regime, had applied for Party membership, but was nonetheless no anti-Semite. Besides he was a long-time friend and colleague of Artin's. He suggested that the two Artin children—only one quarter Jewish, or in Nazi terminology, "
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where a very beautiful Buddhist temple is. We were received by the abbot, and a priest translated into English. We obtained the first sensible explanation about modern Buddhism. The difficulty of obtaining such an explanation is enormous. To begin with most Japanese do not know and do not understand
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The family must have worked feverishly to prepare for emigration to the United States, for this entailed among other things packing their entire household for shipment. Since German law forbade emigrants taking more than a token sum of money out of the country, the Artins sank all the funds at their
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in the north of the island. Here the Wandervogel group disembarked, their initial goal, trekking down the LaxĂĄ River to Lake MĂœvatn. They made a circuit of the large, irregular lake, staying in farm houses, barns, and occasionally a tent as they went. When they slept in barns, it was often on piles
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Artin's marriage to Natascha had by this time seriously frayed. Though nominally still husband and wife, resident in the same house, they were for all intents and purposes living separate lives. Artin was offered a professorship at Hamburg, and at the conclusion of Princeton's spring semester, 1958,
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from the organ at the Busch-Reisinger Museum in Cambridge, to which Artin and Natascha listened still lounging in bed) it was switched on only to hear news of the war. Similarly, the Artin household would never in years to come harbor a television set. Once the war had ended, the radio was retired
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zweiten Grades"—might, if a few strategic strings could be pulled, be officially "aryanized." Hasse offered to exert his influence with the Ministry of Education (Kultur- und Schulbehörde, Hochschulwesen), and Artin—not daring to leave any stone unturned, especially with respect to the safety of his
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The following year, Artin took a leave of absence to return to Germany for the first time since emigration, nearly twenty years earlier. He spent the fall semester at Göttingen, and the next at Hamburg. For the Christmas holidays, he travelled to his birthplace, Vienna, to visit his mother, Vienna
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for their joint use (a Leica A, the first commercial model of this legendary camera), Natascha began chronicling the life of the family, as well as the city of Hamburg. For the next decade, she made a series of artful and expressive portraits of Artin that remain by far the best images of him taken
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It was in this period that he acquired his lifelong nickname, "Ma," short for mathematics, which he came to prefer to his given name, and which virtually everyone who knew him well used. Although the nickname might seem to imply a narrow intellectual focus, quite the reverse was true of Artin. Even
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descent. His Armenian last name was Artinian which was shortened to Artin. Several documents, including Emil's birth certificate, list the father's occupation as "opera singer" though others list it as "art dealer." It seems at least plausible that he and Emma had met as colleagues in the theater.
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Whenever he was asked whether mathematics was a science, Artin would reply unhesitatingly, "No. An art." His explanation was that: " all believe that mathematics is an art. The author of a book, the lecturer in a classroom tries to convey the structural beauty of mathematics to his readers, to his
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If Göttingen had been the "Mecca" of mathematics in the 1920s and early 1930s, Princeton, following the decimation of German mathematics under the Nazis, had become the center of the mathematical world in the 1940s. In April 1946, Artin was appointed Professor at Princeton, at a yearly salary of $
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Toying with their watcher on a fine autumn afternoon was one thing, but the atmosphere was in fact growing inexorably serious. Natascha's Jewish father and her sister, seeing the handwriting on the wall, had already left for the U.S. in the summer of 1933. As half-Jewish, Natascha's status was, if
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Now that it was time to move on to university studies, Artin was no doubt content to leave Reichenberg, for relations with his stepfather were clouded. According to him, HĂŒbner reproached him "day and night" with being a financial burden, and even when Artin became a university lecturer and then a
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Artin insisted that only German be spoken in the house. Even Tom, born in the U.S., spoke German as his first language, acquiring English only from his siblings and his playmates in the neighborhood; for the first four or five years of his life, he spoke English with a pronounced German accent.
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In keeping with the Wandervogel ethos, Artin and his companions carried music with them wherever they visited. The young men had packed guitars and violins, and Artin played the harmoniums common in the isolated farmsteads where they found lodging. The group regularly entertained their Icelandic
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Artin's academic performance in the first years at the Realschule was spotty. Up to the end of the 1911–1912 school year, for instance, his grade in mathematics was merely "genĂŒgend," (satisfactory). Of his mathematical inclinations at this early period he later wrote, "Meine eigene Vorliebe zur
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our questions. All this is made more complicated by the fact that there are numerous sects and each one has another theory. Since you get your information only piece wise, you cannot put it together. This results in an absurd picture. I am talking of the present day, not of its original form."
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It was early November 1937 by the time they arrived in South Bend, where Artin joined the faculty at Notre Dame, and taught for the rest of that academic year. He was offered a permanent position the following year 170 miles to the south at Indiana University, in Bloomington. Shortly after the
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and the fall of the Third Reich, Natascha made the mistake of reminding him of this vow, and in lieu of a champagne toast, he indulged in what was intended to be the smoking of a single, celebratory cigarette. Unfortunately, the single cigarette led to a second, and another after that. Artin
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Natascha recalled going down to the newsstand on the corner one day and being warned in hushed tones by the man from whom she and Artin bought their paper that a man had daily been watching their apartment from across the street. Once tipped off, she and Artin became very aware of the watcher
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Artin kept a meticulous journal of this trip, making daily entries in a neat, minuscule hand. He and several of the young men had brought cameras, so that the trek is documented also by nearly 200 small photographs. Artin's journal attests to his overarching interest in the geology of this
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in the Czech Republic). Documentary evidence suggests that Emma had already been a resident in Reichenberg the previous year, and in deference to her new husband, she had abandoned her vocal career. HĂŒbner deemed a life in the theater unseemly—unfit for the wife of a man of his position.
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By this time, to be precise, on July 15, 1937, because of Natascha's status as "Mischling ersten Grades," Artin had lost his post at the university—technically, compelled into early retirement—on the grounds of paragraph 6 of the Act to Restore the Professional Civil Service (Gesetz zur
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and his wife of the Psychology Department, as well as prominent members of the Fine Arts, Art History, Anthropology, German Literature, and Music Departments. For several summer semesters, Artin accepted teaching positions at other universities, viz., Stanford in 1939 and 1940, The
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might close forever, Artin and Natascha chose to risk somehow getting Karin past emigration and customs officials without their noticing her condition. They managed to conceal Karin's feverish state, and without incident boarded the ship. When they landed a week later at
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By June 1919, he had moved to Leipzig and matriculated at the university there as a "Class 2 Auditor" ("Hörer zweiter Ordnung"). Late the same year, Artin undertook the formality of standing for a qualifying examination by an academic board of the Oberrealschule in
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From Lake MĂœvatn, Artin and his companions headed west towards Akureyri, passing the large waterfall GoĂ°afoss on the way. From Akureyri, they trekked west down the Öxnadalur (Ox Valley) intending to rent pack horses and cross the high and barren interior by foot to
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offered Artin a professorial position; however, Hamburg matched the offer financially, and (as noted above) promoted him to full professor, making him (along with his young colleague Helmut Hasse) one of the two youngest professors of mathematics in Germany.
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being a city he had not seen in decades. In a letter home he described the experience of his return in a single, oddly laconic sentence: "It is kind of amusing to walk through Vienna again." In 1957, an honorary doctorate was conferred on Artin by the
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Aside from consistently good school grades in singing, the first documentary evidence of Artin's deep and lifelong engagement with music comes from the year in Göttingen, where he was regularly invited to join in the chamber music sessions hosted by
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Artin and Natascha were divorced in 1959. In Hamburg, Artin had taken an apartment, but soon gave it over to his mother whom he had brought from Vienna to live near him in Hamburg. He in turn moved into the apartment of the mathematician
695:. He played all the keyboard instruments, and was an especially accomplished flautist, although it is not known exactly by what instruction he had achieved proficiency on these instruments. He became especially devoted to the music of 994:
and dissident professors. Still, Artin's situation became increasingly precarious, not only because Natascha was half Jewish, but also because Artin made no secret of his distaste for the Hitler regime (he evidently signed the 1933
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in the same neighborhood; though they never married, their relationship was equivalent to marriage. On January 4, 1961, he was granted German citizenship. In June 1962, on the occasion of the 300th anniversary of the death of
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Consistent with his program of maintaining the family's German cultural heritage, Artin gave high priority to regularly reading German literature aloud to the children. The text was frequently from Goethe's autobiographical
1214:’s "The Canterville Ghost". For the Artin children, these readings replaced radio entertainment, which was strictly banned from the house. There was a radio, but (with the notable exception of Sunday morning broadcasts by 605:
Studies at Vienna were interrupted when Artin was drafted in June 1918 into the Austrian army (his Army photo ID is dated July 1, 1918). Assigned to the K.u. K. 44th Infantry Regiment, he was stationed northwest of
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for the duration of the war. On April 12, 1945, with the end of the war in Europe only weeks away, they applied for naturalization as American citizens. American citizenship was granted them on February 7, 1946.
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by E. Artin. Notes by Gerhard WĂŒrges from lectures held at the Mathematisches Institut, Göttingen, Germany in the winter semester, 1956-57. Translated and distributed by George Striker, Schildweg 12, Göttingen"
1011:(Natascha liked to refer to him as their "spy"), and even rather enjoyed the idea of his being forced to follow them on the long walks they loved taking in the afternoons to a café far out in the countryside. 525:
at Mauer Öhling, 125 kilometers west of Vienna. It is notable that neither wife nor child contracted this highly infectious disease. Artin's father died there July 20, 1906. Young Artin was eight.
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member, but nonetheless solicitous of the Artins’ well-being, warned Artin discreetly to close his classroom door so his frankly anti-Nazi comments could not be heard by passersby in the hallway.
1024:, to draft and have notarized an affidavit attesting to the Christian lineage of his late wife, Natascha's mother. Artin submitted this affidavit to the Ministry of Education, but to no avail. 2596: 1281:. From his letters, it is clear he was treated like royalty by the Japanese mathematical community, and was charmed by the country. He was interested in learning about the diverse threads of 1088:, Richard Courant and Natascha's father, the Russian agronomist Naum Jasny (then working for the U.S. Department of Agriculture) were on the dock to welcome the family to the United States. 904:, who had moved to Göttingen. He chose to remain at Hamburg, however. Two years later, in 1932, for contributions leading to the advancement of mathematics, Artin was honored—jointly with 821:
of wet straw or hay. On those lucky occasions when they slept in beds, it could be nearly as damp on account of the rain trickling through the sod roofs. The tent leaked as well.
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hosts, not in full exchange for board and lodging, to be sure, but for goodwill certainly, and sometimes for a little extra on their plates, or a modestly discounted tariff.
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Artin survived both war and vermin on the Italian front, and returned late in 1918 to the University of Vienna, where he remained through Easter of the following year.
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On the orders of a Hamburg doctor whom he had consulted about a chronic cough, Artin had given up smoking years before. He had vowed not to smoke so long as
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Artin, Emil. (1898–1962) BeitrĂ€ge zu Leben, Werk und Persönlichkeit, eds., Karin Reich and Alexander Kreuzer (Dr. Erwin Rauner Verlag, Augsburg, 2007).
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made in Hamburg by G. Urban. Chamber music gatherings became a regular event at the Artin apartment as they had been at the Courants in Göttingen.
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was born. The political climate at Hamburg was not so poisonous as that at Göttingen, where by 1935 the mathematics department had been purged of
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Courant arranged for Artin to receive a stipend for the summer of 1922 in Göttingen, which occasioned his declining a position offered him at the
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The University of Hamburg honored his memory on April 26, 2005, by naming one of its newly renovated lecture halls The Emil Artin Lecture Hall.
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at Ann Arbor in 1941 and 1951, and The University of Colorado, in Boulder, in 1953. On each of these occasions, the family accompanied him.
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In Reichenberg, Artin formed a lifelong friendship with a young neighbor, Arthur Baer, who became an astronomer, teaching for many years at
2531: 2526: 1285:, and visiting its holy sites. In a letter home he describes his visit to the temples at Nara. "Then we were driven to a place nearby, 570:, a period he spoke of later as one of the happiest of his life. He lived that year with the family of Edmond Fritz, in the vicinity of 521:, among them increasing mental instability, and was eventually institutionalized at the recently established (and imperially sponsored) 2586: 1314:. That fall, he returned to Princeton for what would be his final academic year at that institution. He was elected a Fellow of the 1339:
conferred an honorary doctorate on him. On December 20 of the same year, Artin died at home in Hamburg, aged 64, of a heart attack.
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Artin was one of the leading algebraists of the century, with an influence larger than might be guessed from the one volume of his
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Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State
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mid-Atlantic island, situated over the boundary of two tectonic plates whose shifting relation makes it geologically hyperactive.
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From 1919 to June 1921, Artin pursued mostly mathematical studies at Leipzig. His principal teacher and dissertation advisor was
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The circle of the Artins’ University friends reflected Artin's wide cultural and intellectual interests. Notable among them were
2003: 890: 884:émigré who had been a student in several of his classes. One of their shared interests was photography, and when Artin bought a 861:, and their two Hamburg-born children. Music continued to play a central role in his life; he acquired a Neupert double manual 2571: 1957: 1902: 1878: 1848: 1559: 1315: 208: 909: 228: 2551: 89: 1892:
Reprints Artin's books on the gamma function, Galois theory, the theory of algebraic numbers, and several of his papers.
555:, he thought—and told Artin where in the sky to look. Artin tapped back the terse reply "A-N-D-R-O-M-E-D-A N-E-B-E-L." ( 2349: 2123: 528:
On July 15, 1907, Artin's mother remarried to Rudolf HĂŒbner: a prosperous manufacturing entrepreneur from Reichenberg,
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In January 1933, Natascha gave birth to their first child, Karin. A year and a half later, in the summer of 1934, son
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During the Princeton years, Artin built a 6-inch (15 cm) reflecting telescope to plans he found in the magazine
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for meditation is the following: If you clap your hands, does the sound come from the left hand or from the right?"
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later that summer. Iceland (before the transforming presence of American and British forces stationed there during
332: 266: 2322: 68: 2576: 2025: 1391: 1503: 1455: 1336: 1127: 951: 789:). In this year also, Artin applied for and was granted German citizenship. He was promoted to full Professor ( 734: 478: 46: 786: 2430: 2107: 1866: 1192:, or his poems, "Erlkönig," for instance. Occasionally, he would read from an English text. Favorites were 1925: 75: 2601: 1123: 947: 730: 474: 42: 1538:. A more complete list of his students can be found at the Mathematics Genealogy Project website (see " 583:
professor, HĂŒbner deprecated his academic career as self-indulgent and belittled its paltry emolument.
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Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on
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children—went along with this effort. He asked his father-in-law, by then resident in
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Emil Artin was born in Vienna to parents Emma Maria, née Laura (stage name Clarus), a
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By July, when he was summarily "retired," ("in Ruhestand versetzt") the position at
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After moving to Bloomington, Artin quickly acquired a piano, and soon after that a
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Natascha A. Brunswick, "Hamburg: Wie Ich Es Sah," Dokumente der Photographie 6,
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framework of Buddhist belief. Then he adds, "By the way, a problem given by the
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with the intention of gathering a congenial group to undertake a trek through
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family resettled there, a second son, Thomas, was born on November 12, 1938.
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On August 15, 1929, Artin married Natalia Naumovna Jasny (Natascha), a young
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Emil Artin and Helmut Hasse: Their Correspondence 1923–1934, Introduction.
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As German citizens, Artin and Natascha were technically classified as
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Odefey, Alexander (2011). "Emil Artins Islandreise im Sommer 1925".
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is said to derive in part from Artin's ideas, as well as those of
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Early in the summer of 1925, Artin attended the Congress of the
1558:, an American algebraic geometer and professor emeritus at the 991: 813: 801: 607: 567: 514: 153: 2167:
by Emil Artin with a chapter on applications by A. N. Milgram"
590:, having focused by now on mathematics. He studied there with 1843:, AMS Chelsea Publishing, Providence, RI, pp. viii+194, 1278: 874: 785:
On April 1, 1925, Artin was promoted to Associate Professor (
611: 599: 571: 893:, and its accompanying catalogue, "Hamburg—Wie Ich Es Sah." 439:
They were married in St. Stephen's Parish on July 24, 1895.
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Members of the Göttingen Academy of Sciences and Humanities
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A Freshman Honors Course in Calculus and Analytic Geometry
430:, and Emil Hadochadus Maria Artin, Austrian-born of mixed 1973:
Notices of the AMS. Vol. 49, # 4, April 2002, pp. 469–470
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for the second conjecture, assuming certain cases of the
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In September 1955, Artin accepted an invitation to visit
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Artin spent the school year 1912–1913 away from home, in
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Artin, Emil (1982) , Lang, Serge; Tate, John T. (eds.),
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Artin advised over thirty doctoral students, including
2120:"Natascha Artin–Brunswick, nĂ©e Jasny | Memorial2U.com" 1949:
The Honors Class: Hilbert's Problems and Their Solvers
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Artin entered school in September 1904, presumably in
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by Emil Artin, Cecil J. Nesbitt and Robert M. Thrall"
2085:
Hooley, Christopher (1967). "On Artin's conjecture".
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at New York University. He used his notes to publish
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Notable among his graduate students at Princeton are
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Fellows of the American Academy of Arts and Sciences
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His letter goes on to outline at length the general
1239:
returned to heavy smoking for the rest of his life.
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ETH (Eidgenössische Technische Hochschule) in ZĂŒrich
540:
In September 1907, Artin entered the Volksschule in
2317: 2197: 2084: 1562:. His daughter, Karin Artin, was the first wife of 1423:in 1957, where he extended the material to include 1248:8,000. The family moved there in the fall of 1946. 1234:remained in power. On May 8, 1945, at the news of 49:. Unsourced material may be challenged and removed. 1665: 2404: 2277: 1983: 1035:had been filled. However, through the efforts of 2498: 2331:MAA Reviews, Mathematical Association of America 2054: 1922:"Armenia honors mathematician Dmitry Mirimanoff" 2097: 2237: 1374:. He also contributed to the pure theories of 896:In 1930, Artin was offered a professorship at 2157: 679:. While at Göttingen, he worked closely with 368:; March 3, 1898 – December 20, 1962) was an 2562:Academic staff of the University of Hamburg 2447:. Contains a section on Artin at Princeton. 2346: 1130:. Unsourced material may be challenged and 954:. Unsourced material may be challenged and 765: 586:In October 1916, Artin matriculated at the 481:. Unsourced material may be challenged and 408: 2592:Expatriates from Austria-Hungary in France 2433: 2367: 2347:Schoeneberg, Bruno (1970). "Artin, Emil". 1804:, Providence, RI: AMS Chelsea Publishing, 1802:Algebraic numbers and algebraic functions. 1509: 131: 2388: 2325:Algebraic Numbers and Algebraic Functions 2302: 2262: 2222: 2182: 2072: 1838: 1809: 1474:the frequency with which a given integer 1430:Artin was also an important expositor of 1150:Learn how and when to remove this message 1062: 974:Learn how and when to remove this message 753:Learn how and when to remove this message 501:Learn how and when to remove this message 401:, he is considered the founder of modern 109:Learn how and when to remove this message 2137: 1597:Artin, Emil (1947), "Theory of braids", 1569: 667:In the fall of 1921, Artin moved to the 2537:Austrian emigrants to the United States 2416:MacTutor History of Mathematics Archive 2026:"Book of Members, 1780-2010: Chapter A" 1945: 1450:He left two conjectures, both known as 577: 2499: 2147:. The Harvard Gazette. 7 October 2020. 2050:Zum Gedenken an Emil Artin (1898–1962) 1871:Exposition by Emil Artin: a selection. 1721:, Göttingen: Mathematisches Institut, 1071:On the morning they were to board the 1051:, a position was found for him at the 912:, which carried a grant of 500 marks. 800:youth movement at Wilhelmshausen near 2060: 1903:List of things named after Emil Artin 1864: 1799: 1773: 1737: 1731: 1716: 1698: 1689: 1659: 1640: 1596: 1590: 1575: 1560:Massachusetts Institute of Technology 1494:varies. These are unproven; in 1967, 1345: 1316:American Academy of Arts and Sciences 363: 209:List of things named after Emil Artin 2607:20th-century Armenian mathematicians 2542:Austrian expatriates in West Germany 2517:20th-century American mathematicians 2004:Museum fĂŒr Kunst und Gewerbe Hamburg 1778:, New York-Berlin: Springer-Verlag, 1438:approach to class ring theory (with 1128:adding citations to reliable sources 1095: 1091: 952:adding citations to reliable sources 919: 891:Museum fĂŒr Kunst und Gewerbe Hamburg 735:adding citations to reliable sources 706: 479:adding citations to reliable sources 446: 47:adding citations to reliable sources 18: 2532:Austrian people of Armenian descent 2527:American people of Armenian descent 2373:"Emil Artin, His Life and His Work" 2018: 1539: 1305:Return to Hamburg and personal life 853:, and the author and organ-builder 13: 2377:Notre Dame Journal of Formal Logic 2350:Dictionary of Scientific Biography 2340: 1966: 1242: 442: 16:Austrian mathematician (1898–1962) 14: 2618: 2398: 1839:Artin, Emil; Tate, John (2009) , 2587:University of Notre Dame faculty 2477:Dod Professor of Mathematics at 1100: 924: 910:Ackermann–Teubner Memorial Award 711: 451: 229:Ackermann–Teubner Memorial Award 23: 2311: 2304:10.1090/S0002-9904-1958-10142-1 2271: 2264:10.1090/S0002-9904-1962-10725-3 2231: 2224:10.1090/S0002-9904-1945-08398-0 2191: 2184:10.1090/S0002-9904-1945-08345-1 2151: 2112: 2078: 1402:in 1927. He also developed the 1386:. The influential treatment of 722:needs additional citations for 34:needs additional citations for 2582:University of Michigan faculty 2043: 2009: 1996: 1977: 1939: 1914: 1692:Elements of algebraic geometry 1504:generalized Riemann hypothesis 1445: 1337:University of Clermont-Ferrand 1219:to the rear of a dark closet. 915: 614:front in the foothills of the 1: 2431:Mathematics Genealogy Project 2108:Mathematics Genealogy Project 1908: 1400:Hilbert's seventeenth problem 2572:Princeton University faculty 2205:Rings with minimum condition 1676:Rings with Minimum Condition 1647:, Dover Publications, Inc., 869:made by the Hamburg builder 7: 2245:Theory of algebraic numbers 1946:Yandell, Ben (2001-12-12). 1896: 1719:Theory of algebraic numbers 1413:In 1955 Artin was teaching 787:außerordentlicher Professor 594:, and also took courses in 10: 2623: 2552:Indiana University faculty 1370:and a new construction of 1366:, contributing largely to 422:on the operetta stages of 413: 390:and a new construction of 386:, contributing largely to 2485: 2475: 2467: 2462: 1703:, University of Buffalo, 1545: 1259:, Harold N. Shapiro, and 702: 350: 292: 276: 254: 244: 237: 224: 214: 200: 186: 164: 139: 130: 123: 2421:University of St Andrews 2390:10.1305/ndjfl/1093957731 1952:. Taylor & Francis. 1053:University of Notre Dame 766:Professorship at Hamburg 409:Early life and education 263:University of Notre Dame 219:Natascha Artin Brunswick 2567:Scientists from Liberec 2006:, 2001, pp. 48–53. 1510:Supervision of research 1415:foundations of geometry 1364:algebraic number theory 793:) on October 15, 1926. 669:University of Göttingen 549:University of Cambridge 384:algebraic number theory 2577:Scientists from Vienna 1312:University of Freiburg 1180:University of Michigan 1063:Emigration to the U.S. 873:, as well as a silver 791:ordentlicher Professor 2291:Bull. Amer. Math. Soc 2251:Bull. Amer. Math. Soc 2211:Bull. Amer. Math. Soc 2171:Bull. Amer. Math. Soc 2073:Artin & Tate 2009 1986:Mitt. Math. Ges. Hamb 1800:Artin, Emil (2006) , 1750:10.1002/9781118164518 1738:Artin, Emil (1988) , 1641:Artin, Emil (1998) , 1576:Artin, Emil (1964) , 1570:Selected bibliography 1530:, Harold N. Shapiro, 1464:linear representation 1189:Dichtung und Wahrheit 842:University of MĂŒnster 697:Johann Sebastian Bach 610:at Primolano, on the 333:Kollagunta Ramanathan 259:University of Hamburg 195:University of Leipzig 2479:Princeton University 2407:Robertson, Edmund F. 2087:J. Reine Angew. Math 1865:Artin, Emil (2007), 1717:Artin, Emil (1959), 1699:Artin, Emil (1958), 1690:Artin, Emil (1955), 1124:improve this section 1049:Princeton University 948:improve this section 731:improve this article 588:University of Vienna 578:University education 475:improve this section 271:Princeton University 191:University of Vienna 43:improve this article 2602:Armenian scientists 2471:Luther P. Eisenhart 2405:O'Connor, John J.; 2319:GouvĂȘa, Fernando Q. 2199:Schilling, O. F. G. 1578:The gamma function. 1550:In 1932 he married 1425:symplectic geometry 1236:Germany's surrender 1086:Hoboken, New Jersey 1057:South Bend, Indiana 1041:New York University 1033:Stanford University 840:Early in 1926, the 592:Philipp FurtwĂ€ngler 1841:Class field theory 1452:Artin's conjecture 1408:algebraic topology 1368:class field theory 1346:Influence and work 1261:O. Timothy O'Meara 851:Heinrich Stegemann 772:University of Kiel 388:class field theory 329:O. Timothy O'Meara 321:A. Murray MacBeath 287:Otto Ludwig Hölder 267:Indiana University 2495: 2494: 2486:Succeeded by 2463:Academic offices 2285:Geometric algebra 2279:Schafer, Alice T. 1959:978-1-56881-216-8 1880:978-0-8218-4172-3 1850:978-0-8218-4426-7 1741:Geometric Algebra 1672:Thrall, Robert M. 1668:Nesbitt, Cecil J. 1500:conditional proof 1460:Artin L-functions 1420:Geometric Algebra 1272:Sky and Telescope 1207:A Christmas Carol 1160: 1159: 1152: 1092:Bloomington years 1045:Solomon Lefschetz 984: 983: 976: 763: 762: 755: 654:Maxwellian theory 511: 510: 503: 365:[ˈaʁtiːn] 354: 353: 313:David K. Harrison 293:Doctoral students 239:Scientific career 233: 168:December 20, 1962 119: 118: 111: 93: 2614: 2557:Number theorists 2489:Albert W. Tucker 2468:Preceded by 2460: 2459: 2453:in the database 2437: 2423: 2394: 2392: 2369:Zassenhaus, Hans 2364: 2335: 2334: 2315: 2309: 2308: 2306: 2275: 2269: 2268: 2266: 2235: 2229: 2228: 2226: 2195: 2189: 2188: 2186: 2155: 2149: 2148: 2141: 2135: 2134: 2132: 2131: 2122:. Archived from 2116: 2110: 2101: 2095: 2094: 2082: 2076: 2070: 2064: 2058: 2052: 2047: 2041: 2040: 2038: 2036: 2030: 2022: 2016: 2013: 2007: 2000: 1994: 1993: 1981: 1975: 1970: 1964: 1963: 1943: 1937: 1936: 1934: 1933: 1924:. Archived from 1918: 1891: 1861: 1832: 1813: 1811:10.1090/chel/358 1796: 1776:Collected papers 1770: 1729: 1713: 1695: 1686: 1657: 1637: 1588: 1524:K. G. Ramanathan 1436:group cohomology 1404:theory of braids 1388:abstract algebra 1352:Collected Papers 1155: 1148: 1144: 1141: 1135: 1104: 1096: 1001:Wilhelm Blaschke 979: 972: 968: 965: 959: 928: 920: 855:Hans Henny Jahnn 758: 751: 747: 744: 738: 715: 707: 557:Andromeda nebula 506: 499: 495: 492: 486: 455: 447: 403:abstract algebra 367: 362: 278:Doctoral advisor 231: 205:Abstract algebra 171: 149: 147: 135: 121: 120: 114: 107: 103: 100: 94: 92: 51: 27: 19: 2622: 2621: 2617: 2616: 2615: 2613: 2612: 2611: 2497: 2496: 2491: 2482: 2473: 2445:Gian-Carlo Rota 2401: 2361: 2343: 2341:Further reading 2338: 2316: 2312: 2276: 2272: 2236: 2232: 2196: 2192: 2156: 2152: 2145:"John Tate, 94" 2143: 2142: 2138: 2129: 2127: 2118: 2117: 2113: 2102: 2098: 2083: 2079: 2071: 2067: 2059: 2055: 2048: 2044: 2034: 2032: 2028: 2024: 2023: 2019: 2014: 2010: 2001: 1997: 1982: 1978: 1971: 1967: 1960: 1944: 1940: 1931: 1929: 1920: 1919: 1915: 1911: 1899: 1881: 1851: 1822: 1786: 1760: 1711: 1655: 1611:10.2307/1969218 1572: 1548: 1532:Hans Zassenhaus 1512: 1448: 1406:as a branch of 1398:. Artin solved 1392:van der Waerden 1362:. He worked in 1348: 1307: 1245: 1243:Princeton years 1202:Charles Dickens 1156: 1145: 1139: 1136: 1121: 1105: 1094: 1073:Hamburg-Amerika 1065: 1037:Richard Courant 1022:Washington D.C. 980: 969: 963: 960: 945: 929: 918: 768: 759: 748: 742: 739: 728: 716: 705: 693:Richard Courant 673:Richard Courant 634:Gustav Herglotz 580: 542:HornĂ­ Stropnice 507: 496: 490: 487: 472: 456: 445: 443:Early education 416: 411: 360: 343: 341:Hans Zassenhaus 339: 335: 331: 327: 323: 319: 315: 311: 307: 303: 299: 285: 283:Gustav Herglotz 269: 265: 261: 207: 193: 187:Alma mater 182: 173: 169: 160: 158:Austria-Hungary 151: 145: 143: 126: 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 2620: 2610: 2609: 2604: 2599: 2594: 2589: 2584: 2579: 2574: 2569: 2564: 2559: 2554: 2549: 2544: 2539: 2534: 2529: 2524: 2519: 2514: 2509: 2493: 2492: 2487: 2484: 2474: 2469: 2465: 2464: 2458: 2457: 2451:Author profile 2448: 2438: 2424: 2400: 2399:External links 2397: 2396: 2395: 2365: 2359: 2342: 2339: 2337: 2336: 2327:by Emil Artin" 2321:(6 May 2006). 2310: 2270: 2239:Mordell, L. J. 2230: 2190: 2150: 2136: 2111: 2096: 2077: 2065: 2053: 2042: 2017: 2008: 1995: 1976: 1965: 1958: 1938: 1912: 1910: 1907: 1906: 1905: 1898: 1895: 1894: 1893: 1879: 1867:Rosen, Michael 1862: 1849: 1836: 1833: 1820: 1797: 1784: 1771: 1758: 1735: 1730:Reprinted in ( 1714: 1709: 1696: 1687: 1663: 1658:Reprinted in ( 1653: 1638: 1605:(1): 101–126, 1594: 1589:Reprinted in ( 1571: 1568: 1552:Natascha Jasny 1547: 1544: 1540:External links 1511: 1508: 1482:modulo primes 1480:primitive root 1447: 1444: 1347: 1344: 1306: 1303: 1295:eschatological 1244: 1241: 1216:E. Power Biggs 1158: 1157: 1108: 1106: 1099: 1093: 1090: 1064: 1061: 982: 981: 932: 930: 923: 917: 914: 871:Walther Ebeloe 767: 764: 761: 760: 719: 717: 710: 704: 701: 650:quantum theory 579: 576: 509: 508: 459: 457: 450: 444: 441: 415: 412: 410: 407: 352: 351: 348: 347: 325:Arthur Mattuck 297:Nesmith Ankeny 294: 290: 289: 280: 274: 273: 256: 252: 251: 246: 242: 241: 235: 234: 226: 222: 221: 216: 212: 211: 202: 201:Known for 198: 197: 188: 184: 183: 174: 172:(aged 64) 166: 162: 161: 152: 141: 137: 136: 128: 127: 124: 117: 116: 31: 29: 22: 15: 9: 6: 4: 3: 2: 2619: 2608: 2605: 2603: 2600: 2598: 2595: 2593: 2590: 2588: 2585: 2583: 2580: 2578: 2575: 2573: 2570: 2568: 2565: 2563: 2560: 2558: 2555: 2553: 2550: 2548: 2545: 2543: 2540: 2538: 2535: 2533: 2530: 2528: 2525: 2523: 2520: 2518: 2515: 2513: 2510: 2508: 2505: 2504: 2502: 2490: 2481: 2480: 2472: 2466: 2461: 2456: 2452: 2449: 2446: 2442: 2439: 2436: 2432: 2428: 2425: 2422: 2418: 2417: 2412: 2408: 2403: 2402: 2391: 2386: 2382: 2378: 2374: 2370: 2366: 2362: 2360:0-684-10114-9 2356: 2352: 2351: 2345: 2344: 2332: 2328: 2326: 2320: 2314: 2305: 2300: 2296: 2292: 2288: 2286: 2280: 2274: 2265: 2260: 2256: 2252: 2248: 2246: 2240: 2234: 2225: 2220: 2216: 2212: 2208: 2206: 2200: 2194: 2185: 2180: 2176: 2172: 2168: 2166: 2165:Galois theory 2160: 2159:Albert, A. A. 2154: 2146: 2140: 2126:on 2016-03-04 2125: 2121: 2115: 2109: 2105: 2104:H. N. Shapiro 2100: 2092: 2088: 2081: 2074: 2069: 2062: 2057: 2051: 2046: 2027: 2021: 2012: 2005: 1999: 1991: 1987: 1980: 1974: 1969: 1961: 1955: 1951: 1950: 1942: 1928:on 2012-11-24 1927: 1923: 1917: 1913: 1904: 1901: 1900: 1890: 1886: 1882: 1876: 1872: 1868: 1863: 1860: 1856: 1852: 1846: 1842: 1837: 1834: 1831: 1827: 1823: 1821:0-8218-4075-4 1817: 1812: 1807: 1803: 1798: 1795: 1791: 1787: 1785:0-387-90686-X 1781: 1777: 1772: 1769: 1765: 1761: 1759:0-471-60839-4 1755: 1751: 1747: 1743: 1742: 1736: 1733: 1728: 1724: 1720: 1715: 1712: 1710:0-923891-52-8 1706: 1702: 1697: 1693: 1688: 1685: 1681: 1677: 1673: 1669: 1666:Artin, Emil; 1664: 1661: 1656: 1654:0-486-62342-4 1650: 1646: 1645: 1644:Galois Theory 1639: 1636: 1632: 1628: 1624: 1620: 1616: 1612: 1608: 1604: 1600: 1599:Ann. of Math. 1595: 1592: 1587: 1583: 1579: 1574: 1573: 1567: 1565: 1561: 1557: 1556:Michael Artin 1553: 1543: 1541: 1537: 1533: 1529: 1525: 1521: 1517: 1516:Bernard Dwork 1507: 1505: 1501: 1497: 1493: 1490:is fixed and 1489: 1485: 1481: 1477: 1473: 1469: 1465: 1461: 1457: 1453: 1443: 1441: 1437: 1434:, and of the 1433: 1432:Galois theory 1428: 1426: 1422: 1421: 1416: 1411: 1409: 1405: 1401: 1397: 1393: 1389: 1385: 1381: 1377: 1373: 1369: 1365: 1361: 1357: 1353: 1343: 1340: 1338: 1334: 1333:Blaise Pascal 1329: 1323: 1319: 1317: 1313: 1302: 1300: 1296: 1291: 1288: 1284: 1280: 1275: 1273: 1268: 1264: 1262: 1258: 1254: 1249: 1240: 1237: 1233: 1228: 1225: 1220: 1217: 1213: 1209: 1208: 1203: 1199: 1195: 1191: 1190: 1183: 1181: 1176: 1175:Alfred Kinsey 1171: 1169: 1168:Hammond Organ 1164: 1154: 1151: 1143: 1133: 1129: 1125: 1119: 1118: 1114: 1109:This section 1107: 1103: 1098: 1097: 1089: 1087: 1082: 1078: 1075:line ship in 1074: 1069: 1060: 1058: 1054: 1050: 1046: 1042: 1038: 1034: 1029: 1025: 1023: 1018: 1012: 1008: 1006: 1002: 998: 993: 989: 978: 975: 967: 957: 953: 949: 943: 942: 938: 933:This section 931: 927: 922: 921: 913: 911: 907: 903: 900:, to replace 899: 894: 892: 887: 883: 878: 876: 872: 868: 864: 860: 856: 852: 846: 843: 838: 836: 830: 826: 822: 819: 815: 811: 807: 803: 799: 794: 792: 788: 783: 781: 777: 773: 757: 754: 746: 736: 732: 726: 725: 720:This section 718: 714: 709: 708: 700: 698: 694: 688: 686: 682: 678: 677:David Hilbert 674: 670: 665: 663: 659: 658:radioactivity 655: 651: 647: 646:atomic theory 643: 639: 635: 630: 628: 622: 619: 617: 613: 609: 603: 601: 597: 593: 589: 584: 575: 573: 569: 564: 560: 558: 554: 550: 545: 543: 538: 535: 531: 526: 524: 523:insane asylum 520: 516: 505: 502: 494: 484: 480: 476: 470: 469: 465: 460:This section 458: 454: 449: 448: 440: 437: 433: 429: 425: 421: 406: 404: 400: 395: 393: 389: 385: 380: 378: 374: 373:mathematician 371: 366: 358: 349: 346: 342: 338: 334: 330: 326: 322: 318: 314: 310: 309:David Gilbarg 306: 305:Bernard Dwork 302: 301:Karel deLeeuw 298: 295: 291: 288: 284: 281: 279: 275: 272: 268: 264: 260: 257: 253: 250: 247: 243: 240: 236: 230: 227: 223: 220: 217: 213: 210: 206: 203: 199: 196: 192: 189: 185: 181: 177: 167: 163: 159: 155: 150:March 3, 1898 142: 138: 134: 129: 122: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: â€“  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 2476: 2414: 2411:"Emil Artin" 2380: 2376: 2371:(Jan 1964). 2348: 2330: 2324: 2313: 2294: 2290: 2287:by E. Artin" 2284: 2273: 2254: 2250: 2244: 2233: 2214: 2210: 2204: 2193: 2174: 2170: 2164: 2153: 2139: 2128:. Retrieved 2124:the original 2114: 2099: 2090: 2086: 2080: 2068: 2056: 2045: 2033:. Retrieved 2031:. p. 19 2020: 2011: 1998: 1989: 1985: 1979: 1968: 1948: 1941: 1930:. Retrieved 1926:the original 1916: 1870: 1840: 1801: 1775: 1740: 1718: 1700: 1691: 1675: 1643: 1602: 1598: 1577: 1549: 1513: 1498:published a 1491: 1487: 1483: 1475: 1468:Galois group 1451: 1449: 1429: 1418: 1412: 1396:Emmy Noether 1351: 1349: 1341: 1324: 1320: 1308: 1292: 1276: 1271: 1269: 1265: 1250: 1246: 1232:Adolf Hitler 1229: 1224:enemy aliens 1221: 1205: 1197: 1187: 1184: 1172: 1165: 1161: 1146: 1137: 1122:Please help 1110: 1081:Nazi Germany 1070: 1066: 1039:(by then at 1030: 1026: 1013: 1009: 1003:, by then a 985: 970: 961: 946:Please help 934: 906:Emmy Noether 902:Hermann Weyl 895: 879: 847: 839: 831: 827: 823: 810:World War II 795: 784: 780:Privatdozent 769: 749: 740: 729:Please help 724:verification 721: 689: 685:Helmut Hasse 681:Emmy Noether 666: 662:astrophysics 640:, including 631: 623: 620: 604: 596:astrophysics 585: 581: 565: 561: 546: 539: 527: 512: 497: 488: 473:Please help 461: 417: 399:Emmy Noether 396: 381: 356: 355: 255:Institutions 238: 180:West Germany 170:(1962-12-20) 105: 96: 86: 79: 72: 65: 58:"Emil Artin" 53: 41:Please help 36:verification 33: 2522:Algebraists 2512:1962 deaths 2507:1898 births 2323:"Review of 2283:"Review of 2257:: 162–166. 2243:"Review of 2217:: 510–512. 2203:"Review of 2163:"Review of 1542:," below). 1446:Conjectures 1372:L-functions 1354:edited by 1212:Oscar Wilde 1077:Bremerhaven 916:Nazi period 863:harpsichord 798:Wandervogel 397:Along with 392:L-functions 249:Mathematics 2501:Categories 2483:1948–1953 2427:Emil Artin 2383:(1): 1–9. 2130:2019-08-07 2093:: 209–220. 2061:Artin 1947 1992:: 127–180. 1932:2023-06-09 1909:References 1732:Artin 2007 1660:Artin 2007 1591:Artin 2007 1520:Serge Lang 1470:; and the 1356:Serge Lang 1253:Serge Lang 1198:Tom Sawyer 1194:Mark Twain 1017:Mischlinge 1005:Nazi Party 908:—with the 867:clavichord 357:Emil Artin 317:Serge Lang 146:1898-03-03 125:Emil Artin 69:newspapers 2297:: 35–37. 1619:0003-486X 1564:John Tate 1528:John Tate 1458:concerns 1440:John Tate 1360:John Tate 1328:Hel Braun 1318:in 1957. 1257:John Tate 1140:June 2023 1111:does not 964:June 2023 935:does not 835:ReykjavĂ­k 743:June 2023 642:mechanics 616:Dolomites 553:supernova 491:June 2023 462:does not 420:soubrette 379:descent. 337:John Tate 99:June 2023 2281:(1958). 2241:(1962). 2201:(1945). 2161:(1945). 2035:25 April 1897:See also 1674:(1944), 1536:Max Zorn 1283:Buddhism 865:, and a 859:Natascha 519:syphilis 436:Armenian 432:Austrian 377:Armenian 370:Austrian 345:Max Zorn 2429:at the 2177:: 359. 2106:at the 1889:2288274 1869:(ed.), 1859:2467155 1830:2218376 1794:0671416 1768:1009557 1727:0132037 1684:0010543 1635:0019087 1627:1969218 1586:0165148 1486:, when 1287:Horiuji 1132:removed 1117:sources 1043:), and 988:Michael 956:removed 941:sources 882:Russian 818:HĂșsavĂ­k 806:Iceland 776:Hamburg 638:physics 627:Leipzig 612:Italian 534:Liberec 530:Bohemia 483:removed 468:sources 428:Germany 424:Austria 414:Parents 361:German: 176:Hamburg 83:scholar 2455:zbMATH 2357:  1956:  1887:  1877:  1857:  1847:  1828:  1818:  1792:  1782:  1766:  1756:  1725:  1707:  1682:  1651:  1633:  1625:  1617:  1584:  1546:Family 1496:Hooley 1472:second 1462:for a 1454:. The 1384:fields 1380:groups 1335:, the 1210:, and 992:Jewish 814:Norway 802:Kassel 703:Career 660:, and 608:Venice 568:France 515:Vienna 245:Fields 232:(1932) 225:Awards 215:Spouse 154:Vienna 85:  78:  71:  64:  56:  2443:, by 2029:(PDF) 1623:JSTOR 1601:, 2, 1478:is a 1466:of a 1456:first 1376:rings 1279:Japan 886:Leica 875:flute 600:Latin 572:Paris 532:(now 90:JSTOR 76:books 2355:ISBN 2037:2011 1954:ISBN 1875:ISBN 1845:ISBN 1816:ISBN 1780:ISBN 1754:ISBN 1705:ISBN 1649:ISBN 1615:ISSN 1534:and 1382:and 1358:and 1299:Zens 1115:any 1113:cite 939:any 937:cite 683:and 675:and 598:and 466:any 464:cite 434:and 426:and 165:Died 140:Born 62:news 2385:doi 2299:doi 2259:doi 2219:doi 2179:doi 2091:225 1806:doi 1746:doi 1607:doi 1390:by 1204:’s 1196:'s 1126:by 1055:in 1047:at 950:by 733:by 477:by 375:of 45:by 2503:: 2419:, 2413:, 2409:, 2379:. 2375:. 2329:. 2295:64 2293:. 2289:. 2255:68 2253:. 2249:. 2215:51 2213:. 2209:. 2175:51 2173:. 2169:. 2089:. 1990:30 1988:. 1885:MR 1883:, 1855:MR 1853:, 1826:MR 1824:, 1814:, 1790:MR 1788:, 1764:MR 1762:, 1752:, 1723:MR 1680:MR 1670:; 1631:MR 1629:, 1621:, 1613:, 1603:48 1582:MR 1566:. 1526:, 1522:, 1518:, 1506:. 1427:. 1410:. 1378:, 1255:, 1200:, 1059:. 782:. 699:. 687:. 656:, 652:, 648:, 644:, 602:. 559:) 405:. 178:, 156:, 2393:. 2387:: 2381:5 2363:. 2333:. 2307:. 2301:: 2267:. 2261:: 2227:. 2221:: 2187:. 2181:: 2133:. 2075:. 2063:. 2039:. 1962:. 1935:. 1808:: 1748:: 1734:) 1662:) 1609:: 1593:) 1492:p 1488:a 1484:p 1476:a 1153:) 1147:( 1142:) 1138:( 1134:. 1120:. 977:) 971:( 966:) 962:( 958:. 944:. 756:) 750:( 745:) 741:( 727:. 504:) 498:( 493:) 489:( 485:. 471:. 359:( 148:) 144:( 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

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"Emil Artin"
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Vienna
Austria-Hungary
Hamburg
West Germany
University of Vienna
University of Leipzig
Abstract algebra
List of things named after Emil Artin
Natascha Artin Brunswick
Ackermann–Teubner Memorial Award
Mathematics
University of Hamburg
University of Notre Dame
Indiana University
Princeton University
Doctoral advisor
Gustav Herglotz
Otto Ludwig Hölder

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