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. He is best known for the Chebotaryov density theorem.

Nikolai Chebotaryov
Born(1894-06-15)15 June 1894
Died2 July 1947(1947-07-02) (aged 53)
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. 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. 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.

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