Rips was the first high school student from Latvia to participate in the International Mathematical Olympiad. In January 1969 he learnt from listening to Western radio broadcast---then illegal in the USSR---of the self-immolation of Czechoslovak student Jan Palach. On 13 April 1969, Rips, then a graduate student at the University of Latvia, attempted self-immolation in a protest against the Soviet invasion of Czechoslovakia. After unwrapping a self-made slogan condemning the occupation of Czechoslovakia he lit a candle and set his gasoline-soaked cloths ablaze. A group of bystanders was able to quickly put the fire out, resulting only in burns to Rips' neck and hands. Though injured, he was first taken to the local KGB office and interrogated. He was incarcerated by the Soviet government for two years. After his story spread among Western mathematical circles and a wave of petitions, Rips was freed in 1971. The following year, he was allowed to immigrate to Israel.