Shirshov may refer to:

People: Aleksandr Shirshov (born 1972), Russian Olympic fencer and coach Anatoly Illarionovich Shirshov (1921–1981), Soviet mathematician Nikolay Shirshov (born 1974), Uzbekistani football midfielder Pyotr Shirshov (1905–1953), Russian Soviet oceanographer, hydrobiologist, polar explorer, statesman, academician, hero of the Soviet Union (1938)

Geography: Shirshov Ridge, on the eastern border of the Commander Basin below the Kamchatka Peninsula Mount Shirshov, a small mountain 3 miles northeast of Mount Selwood in the Tula Mountains, Enderby Land Shirshov Institute of Oceanology in Moscow, the largest institute for ocean and earth science research in Russia

See also Lyndon-Shirshov basis or Free Lie algebra, a Lie algebra without any imposed relations