**Alexei Ivanovich Kostrikin** (Russian: Алексей Иванович Кострикин) (12 February 1929 – 22 September 2000) was a Russian mathematician, specializing in algebra and algebraic geometry.

Kostrikin graduated from the MSU Faculty of Mechanics and Mathematics in 1952. His advisor was Igor Shafarevich.

In 1959 Kostrikin achieved important results on Burnside problem and a year later, in 1960, he earned Doctor of Sciences degree and since 1963 worked at the faculty (professor since 1976).

Kostrikin was awarded USSR State Prize in 1968 for his research on finite groups and Lie algebras and elected the corresponding member of the USSR Academy of Sciences in 1976. In 1998 he became Honoured Professor of Moscow State University.

Alexei Kostrikin published many scientific articles, books and textbooks, including university textbook about algebra *Introduction to algebra*, translated into English and other languages.