Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, uk, Мико́ла Григо́рович Чеботарьо́в, russian: Никола́й Григо́рьевич Чеботарёв) ( – 2 July 1947) was a

Ukrainian Ukrainian may refer to: * Something of, from, or related to Ukraine * Something relating to Ukrainians, an East Slavic people from Eastern Europe * Something relating to demographics of Ukraine in terms of demography and population of Ukraine * So ...

and

Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, ...

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 On ...

. He is best known for the

Chebotaryov density theorem Chebotarev's density theorem in algebraic number theory describes statistically the splitting of prime number, primes in a given Galois extension ''K'' of the field \mathbb of rational numbers. Generally speaking, a prime integer will factor into s ...

. He was a student of

Dmitry Grave Dmitry Aleksandrovich Grave (russian: Дми́трий Алекса́ндрович Гра́ве; September 6, 1863 – December 19, 1939) was an Imperial Russian and Soviet mathematician. Naum Akhiezer, Nikolai Chebotaryov, Mikhail Kravchuk, ...

, a

Russian Russian(s) refers to anything related to Russia, including: *Russians (, ''russkiye''), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *Rossiyane (), Russian language term for all citizens and peo ...

mathematician. Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied

Galois theory In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to ...

and wrote a textbook on the subject titled ''Basic Galois Theory''. His ideas were used by

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 lar ...

to prove the

Artin reciprocity law The Artin reciprocity law, which was established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms a central part of global class field theory. The term "reciprocity law" refers to a long line ...

. He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune, and proved the conjecture now known as the Chebotaryov theorem on roots of unity.

Early life

Nikolai Chebotaryov was born on 15 June 1894 in

Kamianets-Podilskyi Kamianets-Podilskyi ( uk, Ка́м'яне́ць-Поді́льський, russian: Каменец-Подольский, Kamenets-Podolskiy, pl, Kamieniec Podolski, ro, Camenița, yi, קאַמענעץ־פּאָדאָלסק / קאַמעניץ, ...

Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. ...

(now in

Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...

). He entered the department of physics and mathematics at

Kyiv University Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU ...

in 1912. In 1928 he became a professor at

Kazan University Kazan (Volga region) Federal University (russian: Казанский (Приволжский) федеральный университет, tt-Cyrl, Казан (Идел буе) федераль университеты) is a public research uni ...

, remaining there for the rest of his life. He died on 2 July 1947. He was an atheist. On 14 May 2010 a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University."Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html

References

1894 births 1947 deaths People from Kamianets-Podilskyi People from Kamenets-Podolsky Uyezd Ukrainian people of Russian descent 20th-century Russian mathematicians Soviet mathematicians Russian atheists Ukrainian mathematicians Number theorists Corresponding Members of the USSR Academy of Sciences Stalin Prize winners Recipients of the Order of Lenin Recipients of the Order of the Red Banner of Labour {{Russia-mathematician-stub