"The plural of curriculum vitae ("course of life") is curricula vitarum. vitae is the genitive singular and vitarum is the genitive plural. vita is the nominative singular and vitae is also the nominative plural."

No. Genitives do not agree in number (or case, obviously, since, unlike adjectives, they have their own case) with the nouns they modified. Curricula vita means that each CV is of one person's life. Curricula vitarum would mean one CV is of several persons' lives; curriculae vitarum would refer to multiple CVs, each one of which was of several persons' lives.