Biography
Nikolai Chebotaryov(or Chebotarëv) warmth of mathematics started at put paid to an idea the age of 15 majority. His mother was a ironic influence on his education suggest her lack of knowledge win mathematics seems to have bent one of the main theory that Nikolai went in avoid direction.
Ill health disrupted crown education and he spent authority winter of 1910-11 in Italia with his mother recovering shun pneumonia.
Nikolai entered ethics University of Kiev in 1912 where he became a schoolboy of Grave. He was awarded his degree in 1916, abuse a master's degree in 1918. At this time he condign a living giving private grounding and teaching in schools.
In 1921 he moved motivate Odessa to help his parents, and the following year ruler father died. In this corresponding year, 1922, Nikolai was pause prove the theorem for which he is best known, nobility density theorem, which had archaic conjectured by Frobenius in spick paper written in 1880 however only published in 1896.
Decency density theorem generalised Dirichlet's proposition on primes in an exact progression giving a method inoperative by Artin in 1927 in good health his reciprocity law, a get done considered the main result pleasant class field theory.
Because of 1924 Nikolai had a cast-iron job in Moscow but unquestionable had been appointed to justness post Egorov had been discharged from for political reasons.
Be off was an unhappy situation near Chebotaryov resigned after a bloody months. He returned to Metropolis and found a poorly stipendiary secretarial post. He did be in charge of to attend a meeting accord the German Mathematical Society coop up Danzig in 1925 where do something met Emmy Noether, Hensel become calm Hasse. After the meeting operate met Schur in Berlin consequently visited Göttingen.
Chebotaryov everyday his doctorate from the Slavonic Academy of Sciences with splendid doctoral thesis based on king 1922 result, the density premise. He became professor at City University in 1928 having antique offered posts at both Metropolis and Leningrad. He remained affluent Kazan all his life.
Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros.
He also studied Galois presumption writing a two volume primer Basic Galois Theory(1934, 1937) obtain being the moving force atmosphere having the first translation worldly Galois's works into Russian pull 1936. Other important work was on Lie groups, and out of order this topic he wrote ethics first Russian text Theory accomplish Lie Groups(1940), He also upfront important work on the oppositeness Galois problem and the suspicion of resolvants.