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Emil Artin
Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields. Along with Emmy Noether, he is considered the founder of modern abstract algebra. Early life and education Parents Emil Artin was born in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of mixed Austrian and Armenian 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 ...
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Vienna
en, Viennese , iso_code = AT-9 , registration_plate = W , postal_code_type = Postal code , postal_code = , timezone = CET , utc_offset = +1 , timezone_DST = CEST , utc_offset_DST = +2 , blank_name = Vehicle registration , blank_info = W , blank1_name = GDP , blank1_info = € 96.5 billion (2020) , blank2_name = GDP per capita , blank2_info = € 50,400 (2020) , blank_name_sec1 = HDI (2019) , blank_info_sec1 = 0.947 · 1st of 9 , blank3_name = Seats in the Federal Council , blank3_info = , blank_name_sec2 = GeoTLD , blank_info_sec2 = .wien , website = , footnotes = , image_blank_emblem = Wien logo.svg , blank_emblem_size = Vienna ( ; german: Wien ; ba ...
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David Kent Harrison
David Kent Harrison (6 April 1931, Massachusetts – 21 December 1999, Barnstable, Massachusetts) was an American mathematician, specializing in algebra, particularly homological algebra and valuation theory. He completed his Ph.D. at Princeton University in 1957; his dissertation, titled ''On torsion free abelian groups'', was written under the supervision of Emil Artin. Harrison was a faculty member from 1959 to 1963 at the University of Pennsylvania and from 1963 to 1993 at the University of Oregon, retiring there as professor emeritus in 1993. He developed a commutative cohomology theory for commutative algebras. Along with his colleague Marie A. Vitulli, he developed a unified valuation theory for rings with zero divisors that generalized both Krull and Archimedean valuations. He was a Guggenheim Fellow for the academic year 1963–1964. He supervised 28 doctoral students including Joel Cunningham. Ann Hill Harrison endowed the Harrison Memory Award for outstanding ma ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Austrians
, pop = 8–8.5 million , regions = 7,427,759 , region1 = , pop1 = 684,184 , ref1 = , region2 = , pop2 = 345,620 , ref2 = , region3 = , pop3 = 197,990 , ref3 = , region4 = , pop4 = 40,300–65,090 , ref4 = , region5 = , pop5 = 45,530 , ref5 = , region6 = , pop6 = 21,600–25,000 , ref6 = , region7 = , pop7 = 20,000 , ref7 = , region8 = , pop8 = 16,331 , ref8 = , region9 = , pop9 = 15,771 , ref9 = , region10 = , pop10 = 14,000 , ref10 = , region11 = , pop11 = 12,000 , ref11 = , region12 = , pop12 = 10,000 , ref12 = , region13 = , pop13 = 9,800 , ref13 = , region14 = , pop14 = 9,044 , ref14 = , region15 = , pop15 ...
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Natascha Artin Brunswick
Natascha Artin Brunswick, née Jasny (June 11, 1909 – February 3, 2003) was a Russian-American mathematician and photographer. St. Petersburg and Hamburg Natascha Artin Brunswick was the daughter of , a Russian Jewish economist from Kharkiv. Her mother was a Russian orthodox aristocrat and dentist. Since at the time Russian orthodox Christians were prohibited from marrying Jews, she converted to Protestantism. They were married in Finland. Naum Jasny was an adherent of the Mensheviks and fled to Tbilisi after the October Revolution in 1917. Natascha, her sister, and her mother followed in 1920. After the Bolsheviks took control of Georgia, the family lived in Austria from 1922 to 1924, for a brief period in 1924 in Berlin, and finally moved to Langenhorn, Hamburg, where they remained until 1937. Natascha Jasny attended the progressive Lichtwark school. While still in school, she photographed with a simple box camera and processed her own pictures in the bathroom at home, wh ...
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List Of Things Named After Emil Artin
{{Short description, none These are things named after Emil Artin, a mathematician. * Ankeny–Artin–Chowla congruence * Artin algebra * Artin billiards * Artin braid group * Artin character * Artin conductor * Artin's conjecture for conjectures by Artin. These include :* Artin's conjecture on primitive roots :* Artin conjecture on L-functions * Artin group * Artin–Hasse exponential * Artin L-function * Artin reciprocity * Artin–Rees lemma * Artin representation * Artin–Schreier theorem * Artin–Schreier theory * Artin's theorem on induced characters * Artin–Zorn theorem * Artinian ideal * Artinian module * Artinian ring * Artin–Tate lemma * Artin–Tits group * Fox–Artin arc * Wedderburn–Artin theorem * Emil Artin Junior Prize in Mathematics See also * Artinian Artin Artin may refer to: * Artin (name), a surname and given name, including a list of people with the name ** Artin, a variant of Harutyun Harutyun ( hy, Հարություն and in Western ...
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Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ...
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Max August Zorn
Max August Zorn (; June 6, 1906 – March 9, 1993) was a German mathematician. He was an algebraist, group theorist, and numerical analyst. He is best known for Zorn's lemma, a method used in set theory that is applicable to a wide range of mathematical constructs such as vector spaces, and ordered sets amongst others. Zorn's lemma was first postulated by Kazimierz Kuratowski in 1922, and then independently by Zorn in 1935. Life and career Zorn was born in Krefeld, Germany. He attended the University of Hamburg. He received his PhD in April 1930 for a thesis on alternative algebras. He published his findings in ''Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg''. Zorn showed that split-octonions could be represented by a mixed-style of matrices called Zorn's vector-matrix algebra. Max Zorn was appointed to an assistant position at the University of Halle. However, he did not have the opportunity to work there for long as he was forced to leave Germany ...
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Hans Zassenhaus
Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra. Biography He was born in Koblenz in 1912. His father was a historian and advocate for Reverence for Life as expressed by Albert Schweitzer. Hans had two brothers, Guenther and Wilfred, and sister Hiltgunt, who wrote an autobiography in 1974. According to her, their father lost his position as school principal due to his philosophy. She wrote:Hiltgunt Zassenhaus (1974) ''Walls: Resisting the Third Reich'', Beacon Press :Hans, my eldest brother, studied mathematics. My brothers Guenther and Wilfred were in medical school. ... only students who participated in Nazi activities would get scholarships. That left us out. Together we made an all-out effort. ... soon our house became a beehive. Day in and day out for the next four years a small army of children of all ages would arrive to be tutored. At the University ...
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John Tate (mathematician)
John Torrence Tate Jr. (March 13, 1925 – October 16, 2019) was an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry. He was awarded the Abel Prize in 2010. Biography Tate was born in Minneapolis, Minnesota. His father, John Tate Sr., was a professor of physics at the University of Minnesota, and a longtime editor of ''Physical Review''. His mother, Lois Beatrice Fossler, was a high school English teacher. Tate Jr. received his bachelor's degree in mathematics in 1946 from Harvard University, and entered the doctoral program in physics at Princeton University. He later transferred to the mathematics department and received his PhD in mathematics in 1950 after completing a doctoral dissertation, titled "Fourier analysis in number fields and Hecke's zeta functions", under the supervision of Emil Artin. Tate taught at Harvard for 36 years before joining the Univers ...
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Kollagunta Gopalaiyer Ramanathan
Kollagunta Gopalaiyer Ramanathan (13 November 1920 – 10 May 1992) was an Indian mathematician known for his work in number theory. His contributions are also to the general development of mathematical research and teaching in India. K. G. Ramanathan's early life and his family K. G. Ramanathan was born in Hyderabad in South India. He completed his B.A. and M.A. in mathematics at Osmania University and the University of Madras respectively before going to Princeton to earn his Ph.D; his advisor was Emil Artin. At Princeton, Ramanathan also worked with Hermann Weyl and Carl Siegel. Thereafter he returned to India to team up with K. S. Chandrasekharan at the Tata Institute of Fundamental Research (TIFR) at Colaba in 1951. At Princeton, for about two years, Ramanathan's neighbour was Albert Einstein, the legendary physicist. He used to sing Carnatic songs of Tyagaraja to Einstein for entertainment. Ramanathan was married to Jayalakshmi Ramanathan. He had two sons. His father's n ...
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