View source for Nikolai Chebotaryov

{{Short description|Soviet mathematician (1894–1947)}}
{{family name hatnote|Grigorievich|Chebotaryov|lang=Eastern Slavic}}
{{Infobox scientist
| name              = Nikolai Chebotaryov
| image             = Nikolai_Chebotaryov.jpg
| image_size        = 
| caption           = 
| birth_date        = {{birth date|1894|06|15|df=y}}
| birth_place       = [[Kamianets-Podilskyi]], Russian Empire
| death_date        = {{death date and age|1947|07|02|1894|06|15|df=y}}
| death_place       = Moscow, [[Russian SFSR]], Soviet Union
| fields            = [[Mathematics]]
| workplaces        = [[Kazan State University]]
| alma_mater        = [[Kiev University]]
| doctoral_advisor  = [[Dmitry Grave]]
| doctoral_students = [[Mark Krein]]<br />[[Naum Meiman]]
| known_for         = [[Chebotarev's density theorem]]
| awards            = 
}}
'''Nikolai Grigorievich Chebotaryov''' (often spelled '''Chebotarov''' or '''Chebotarev'''; {{langx|ru|Никола́й Григо́рьевич Чеботарёв}}; {{langx|uk|Мико́ла Григо́рович Чеботарьо́в}}; {{OldStyleDate|15 June|1894|3 June}} – 2 July 1947) was a Soviet [[mathematician]].<ref>{{MacTutor|id=Chebotaryov|title=Nikolai Grigorievich Chebotaryov}}.</ref> He is best known for the [[Chebotaryov density theorem]].<ref>{{citation|url=http://websites.math.leidenuniv.nl/algebra/chebotarev.pdf|first1=H. W.|last1=Lenstra|first2=P.|last2=Stevenhagen|title=Chebotarëv and his density theorem|journal=[[Mathematical Intelligencer]]|volume=18|issue=2|year=1996|pages=26–37|doi=10.1007/BF03027290|s2cid=14089091}}.</ref>

He was a student of [[Dmitry Grave]].<ref>{{MathGenealogy |id=73922|name=Nikolay Grigorievich Chebotarev}}</ref> Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied [[Galois theory]] and wrote a textbook on the subject titled ''Basic Galois Theory''.
His ideas were used by [[Emil Artin]] to prove the [[Artin reciprocity law]].<ref>http://websites.math.leidenuniv.nl/algebra/artin.pdf {{Bare URL PDF|date=March 2022}}</ref>
He worked with his student Anatoly Dorodnov on a generalization of the [[quadrature of the lune]],<ref>{{citation|title=The problem of squarable lunes|journal=[[American Mathematical Monthly]]|volume=107|issue=7|year=2000|pages=645–651|jstor=2589121|first=M. M.|last=Postnikov|authorlink=Mikhail Postnikov|doi=10.2307/2589121}}. Translated from Postnikov's 1963 Russian book on [[Galois theory]]</ref> and proved the conjecture now known as the [[Chebotarev theorem on roots of unity]].

==Early life==
Nikolai Chebotaryov was born on 15 June 1894 in [[Kamianets-Podilskyi]], [[Russian Empire]] (now in [[Ukraine]]). He entered the department of physics and mathematics at [[Taras Shevchenko National University of Kyiv|Kiev University]]<!--See WP:KIEV--> in 1912. In 1928, he became a professor at [[Kazan Federal University|Kazan University]], remaining there for the rest of his life. He died on 2 July 1947. He was an atheist.<ref>https://www.ams.org/notices/201401/rnoti-p62.pdf {{Bare URL PDF|date=March 2022}}</ref> On 14 May 2010, a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of [[I.I. Mechnikov Odessa National University]].<ref>"Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html</ref>

==References==
{{reflist}}

{{Authority control}}

{{DEFAULTSORT:Chebotaryov, Nikolai}}
[[Category:1894 births]]
[[Category:1947 deaths]]
[[Category:People from Kamianets-Podilskyi]]
[[Category:People from Kamenets-Podolsky Uyezd]]
[[Category:Ukrainian people of Russian descent]]
[[Category:20th-century Russian mathematicians]]
[[Category:Soviet mathematicians]]
[[Category:Russian atheists]]
[[Category:Ukrainian mathematicians]]
[[Category:Number theorists]]
[[Category:Corresponding Members of the USSR Academy of Sciences]]
[[Category:Recipients of the Stalin Prize]]
[[Category:Recipients of the Order of Lenin]]
[[Category:Recipients of the Order of the Red Banner of Labour]]
[[Category:Russian scientists]]


{{Russia-mathematician-stub}}