Short answers, pulled from the story.
Peter the Great signed a Senate decree on the 8th of February 1724 to establish the St. Petersburg Academy of Sciences. The academy opened its doors in December 1725 under Empress Catherine I.
A presidential decree on the 2nd of December 1991 restored the Russian Academy of Sciences name. State support for science dropped drastically during the crisis of the 1990s and many scientists left Russia for Europe, Israel or the United States.
Four territorial branches now connect fifteen regional scientific centers. These include the Siberian Branch established in 1957, the Ural Branch started in 1932, the Far East Branch, and the St. Petersburg Branch which opened in 2023.
Three types of membership exist within the Russian Academy of Sciences including full members known as academicians, corresponding members, and foreign members. Elections to membership occur based on scientific contributions alone and require citizens of Russia when elected except for some who were elected before the USSR collapse.
Ivan Petrovich Pavlov received the medicine prize in 1904 for his work on digestion while Andre Geim became a Nobel laureate in 2010 for graphene research. Other winners include Ilya Mechnikov in 1908, Nikolay Semyonov in 1956, and Pyotr Kapitsa in 1978.