Nikolai Chebotaryov

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Nikolai Chebotaryov
Nikolai Chebotaryov (to the left) with students
Born (1894-06-15)15 June 1894
Kamianets-Podilskyi, Russian Empire (modern-day Ukraine)
Died 2 July 1947(1947-07-02) (aged 53)
Moscow, Soviet Union
Nationality Soviet Union
Alma mater Kiev State University
Known for Chebotarev's density theorem
Scientific career
Fields Mathematics
Institutions Kazan State University
Doctoral advisor Dmitry Grave
Doctoral students Mark Krein
Naum Meiman

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

He was a student of Dmitry Grave, a famous 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 an influential 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[edit]

Nikolai Chebotaryov was born on 15 June 1894 in Kamianets-Podilskyi, Russian Empire (modern-day Ukraine). He entered the department of physics and mathematics at Kiev 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]