Claudio Procesi (born 31 March 1941 in Rome) is an Italian mathematician, known for works in algebra and representation theory.
Procesi studied at the Sapienza University of Rome, where he received his degree (Laurea) in 1963.
In 1966 he graduated from the University of Chicago advised by Israel Herstein, with a thesis titled "On rings with polynomial identities".
), at the International Centre for Theoretical Physics in Trieste, and at the École Normale Supérieure.
In 1978 he was an invited speaker at the International Congress of Mathematicians (ICM) in Helsinki.