Nikolai Chebotaryov Explained

Nikolai Chebotaryov
Birth Date:15 June 1894
Birth Place:Kamianets-Podilskyi, Russian Empire (modern-day Ukraine)
Death Place:Moscow, Soviet Union
Nationality:Soviet Union
Fields:Mathematics
Workplaces:Kazan State University
Alma Mater:Kiev State University
Doctoral Advisor:Dmitry Grave
Doctoral Students:Mark Krein
Naum Meiman
Known For:Chebotarev's density theorem

Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Ukrainian: Мико́ла Григо́рович Чеботарьо́в, Russian: Никола́й Григо́рьевич Чеботарёв) (– 2 July 1947) was a Soviet mathematician.[1] He is best known for the Chebotaryov density theorem.[2]

He was a student of Dmitry Grave, a Russian mathematician. 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.[3] He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune,[4] 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, Russian Empire (now in Ukraine). He entered the department of physics and mathematics at Kyiv University in 1912. In 1928 he became a professor at Kazan University, remaining there for the rest of his life. He died on 2 July 1947. He was an atheist.[5] On 14 May 2010 a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.[6]

Notes and References

  1. .
  2. .
  3. http://websites.math.leidenuniv.nl/algebra/artin.pdf
  4. . Translated from Postnikov's 1963 Russian book on Galois theory
  5. https://www.ams.org/notices/201401/rnoti-p62.pdf
  6. "Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html