Short answers, pulled from the story.
The Academy of Sciences of the Soviet Union was officially formed on the 27th of July 1925 by a resolution of the Central Executive Committee and the Council of People's Commissars. This new body stood on the foundation of the Russian Academy of Sciences which had previously been known as the Imperial Saint Petersburg Academy of Sciences before the February Revolution.
Alexander Karpinsky served as the first president appointed to lead the Academy of Sciences of the Soviet Union following its establishment. The Politburo issued a special decision on the 25th of February 1929 appointing Alexander Karpinsky as president alongside vice-presidents Gleb Krzhizhanovsky, Nikolai Marr, and Vladimir Komarov.
Over one hundred people were arrested under what became known as the Academic Case during the period from December 1929 to December 1930. These arrests primarily targeted experts in humanities fields especially historians while commissions dismissed hundreds of full-time employees and supernumeraries from the academy staff.
By 1985 the total number of research workers employed by the Academy of Sciences of the Soviet Union had grown to one point five million. This figure represented an increase of more than sevenfold from the one hundred thirty thousand researchers recorded in 1945.
The Russian Academy of Sciences was created on the 21st of November 1991 through a presidential decree signed on the initiative of Russian academicians. All members of the Academy of Sciences of the Soviet Union automatically became members of this new organization regardless of whether they lived in countries of the Commonwealth of Independent States.