Short answers, pulled from the story.
Lev Davidovich Bronstein, known as Leon Trotsky, was born on the 7th of November 1879 in Yanovka, a village in the Kherson Governorate of the Russian Empire. The location is now part of present-day Kropyvnytskyi Raion in the Kirovohrad Oblast of Ukraine.
On the 13th of March 1918, Leon Trotsky became People's Commissar of Army and Navy Affairs and chairman of the Supreme Military Council with full control over the Red Army. He authorized blocking detachments to shoot troops that deserted or retreated without permission and implemented hostage-taking measures against relatives of ex-Tsarist officials.
Stalin formed a triumvirate with Zinoviev and Lev Kamenev in April 1922 to block Leon Trotsky from succeeding Vladimir Lenin after his health deteriorated. Evidence suggests this troika initially nominated Trotsky for minor government departments while actively working to exclude him from power.
Leon Trotsky was deported from the Soviet Union in February 1929 and arrived in Turkey. Turkish authorities moved him and his family to the island of Büyükada into a house called the Yanaros mansion in April 1929.
Leon Trotsky formulated the theory of permanent revolution which held that socialism could only survive if spread to more advanced capitalist countries. In The Revolution Betrayed published in 1936, he argued that the Soviet Union had become a degenerated workers' state.