Claudio Procesi

Claudio Procesi (March 31, 1941 in Rome) is an Italian mathematician, known for works in algebra and representation theory.

Procesi studied at the 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 study of the article called "On rings with polynomial identities". From 1966 he was Assistant Professor at the University of Rome, 1970 associate professor at the University of Lecce and 1971 at the Pisa University. From 1973 he was full professor in Pisa and in 1975 ordinary Professor at the University La Sapienza in Rome. He was a visiting scientist at the Columbia University (1969–1970), and UCLA (1973/74) at IMPA, the Massachusetts Institute of Technology (1991), in Grenoble, at the Brandeis University (1981/2), at the University of Texas at Austin (1984), the Institute for Advanced Study (1994), the MSRI (1992, etc.), at the ICTP in Trieste, at the École Normale Supérieure.

Procesi studies noncommutative algebra, algebraic groups, invariant theory, enumerative geometry, infinite dimensional algebras and quantum groups, polytopes, braid groups, cyclic homology, geometry of orbits of compact groups, arrangements of subspaces and tori.

Procesi proved that the polynomial invariants of n x n matrices over a field K all come from the Hamilton-Cayley theorem, which says that a square matrix satisfies its own characteristic polynomial.

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