Pyotr Sergeyevich Novikov (Russian: ???? ?????ยด???? ??ยด?????; 15 August 1901, Moscow, Russian Empire โ 9 January 1975, Moscow, Soviet Union) was a Soviet mathematician.
Novikov is known for his work on combinatorial problems in group theory: the word problem for groups, and Burnside's problem.
For proving the undecidability of the word problem in groups he was awarded the Lenin Prize in 1957.In 1953 he became a corresponding member of the USSR Academy of Sciences and in 1960 he was elected a full member.
He was married to the mathematician Lyudmila Keldysh (1904โ1976).
The mathematician Sergei Novikov is his son.
Sergei Adian and Albert Muchnik were among his students.