Robin Hartshorne is an algebraic geometer at Berkeley. At some point he was associated to Grothendieck’s school, for example his book Residues and duality is a mainly a writeup of a Grothendieck’s cycle of seminars.
His textbook Algebraic geometry, Springer GTM is a now a classic of the theory of schemes. The definition of coherent sheaf in that book differs from EGA definition and is well behaved on Noetherian schemes.