Nikolai Chebotaryov

Nikolai Chebotaryov
Born(1894-06-15)15 June 1894
Kamianets-Podilskyi, Russian Empire
Died2 July 1947(1947-07-02) (aged 53)
Moscow, Russian SFSR, Soviet Union
Alma materKiev University
Known forChebotarev's density theorem
Scientific career
FieldsMathematics
InstitutionsKazan State University
Doctoral advisorDmitry Grave
Doctoral studentsMark Krein
Naum Meiman

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

He was a student of Dmitry Grave. 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 Chebotarev theorem on roots of unity.