# Nikolai Chebotaryov

Nikolai Chebotaryov | |
---|---|

Nikolai Chebotaryov (to the left) with students | |

Born |
Kamianets-Podilskyi, Russian Empire (modern-day Ukraine) | 15 June 1894

Died |
2 July 1947 53) Moscow, Soviet Union | (aged

Nationality | Soviet Union |

Fields | Mathematics |

Institutions | Kazan State University |

Alma mater | Kiev State University |

Doctoral advisor | Dmitry Grave |

Doctoral students |
Petr Kontorovich Mark Krein Naum Meiman Vladimir Morozov |

Known for | Chebotarev's density theorem |

**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 Ukrainian and 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 solved a conjecture which is now known as the Chebotaryov theorem on roots of unity

## Early Life

Nikolai Chebotaryov was born at 15 June 1894 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 and would remain there for the rest of his life. He died on the second of July in 1947. He was an atheist.^{[6]} On May 14, 2010, a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.^{[7]}

## References

- ↑ O'Connor, John J.; Robertson, Edmund F., "Nikolai Grigorievich Chebotaryov",
*MacTutor History of Mathematics archive*, University of St Andrews.. - ↑ Lenstra, H. W.; Stevenhagen, P. (1996), "Chebotarëv and his density theorem" (PDF),
*Mathematical Intelligencer*,**18**(2): 26–37, doi:10.1007/BF03027290. - ↑ Nikolay Grigorievich Chebotarev at the Mathematics Genealogy Project
- ↑ http://websites.math.leidenuniv.nl/algebra/artin.pdf
- ↑ 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 - ↑ http://www.ams.org/notices/201401/rnoti-p62.pdf
- ↑ "Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html