Peter Steven Landweber (born August 17, 1940 in Washington D. C.) is an American mathematician working in algebraic topology. Landweber studied at the University of Iowa (B.SC. 1960) and the Harvard University (master's degree 1961), where he graduated in 1965 after studying under Raoul Bott (Künneth formulas for bordism theories). He was then Assistant Professor at the University of Virginia (from 1965) and at Yale University from 1968 to 1970. From 1967 to 1968 he was at the Institute for Advanced Study at Princeton. In 1970, he became Associate Professor at the Rutgers University, where he taught from 1974 until his retirement in 2007. From 1974 to 1975 he was a NATO fellow at the University of Cambridge. Since 2007, he is a Professor Emeritus at Rutgers University.