Nikolai Chebotaryov

Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Ukrainian: Мико́ла Григо́рович Чеботарьо́в, Russian: Никола́й Григо́рьевич Чеботарёв) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a Soviet mathematician.[1] He is best known for the Chebotaryov density theorem.[2]

In this name that follows Eastern Slavic naming conventions, the patronymic is Grigorievich and the family name is Chebotaryov.
Nikolai Chebotaryov
Born(1894-06-15)15 June 1894
Kamianets-Podilskyi, Russian Empire (modern-day Ukraine)
Died2 July 1947(1947-07-02) (aged 53)
Moscow, Soviet Union
NationalitySoviet Union
Alma materKiev State University
Known forChebotarev's density theorem
Scientific career
FieldsMathematics
InstitutionsKazan State University
Doctoral advisorDmitry Grave
Doctoral studentsMark Krein
Naum Meiman

He was a student of Dmitry Grave, a Russian mathematician.[3] 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.[4] He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune,[5] 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.[6] On 14 May 2010 a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.[7]

References
  1. O'Connor, John J.; Robertson, Edmund F., "Nikolai Grigorievich Chebotaryov", MacTutor History of Mathematics Archive, University of St Andrews.
  2. Lenstra, H. W.; Stevenhagen, P. (1996), "Chebotarëv and his density theorem" (PDF), Mathematical Intelligencer, 18 (2): 26–37, doi:10.1007/BF03027290, S2CID 14089091.
  3. Nikolay Grigorievich Chebotarev at the Mathematics Genealogy Project
  4. http://websites.math.leidenuniv.nl/algebra/artin.pdf
  5. Postnikov, M. M. (2000), "The problem of squarable lunes", American Mathematical Monthly, 107 (7): 645–651, doi:10.2307/2589121, JSTOR 2589121. Translated from Postnikov's 1963 Russian book on Galois theory
  6. https://www.ams.org/notices/201401/rnoti-p62.pdf
  7. "Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html
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