Riva-Agüero, a descendant of José de la Riva Agüero, studied at the National University of San Marcos and the University of Lima where he completed his PhD, before returning to San Marcos as Professor of History.
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He was the son of José de la Riva Agüero, Marquess of Montealegre de Aulestia, first President of Peru, and the Princess Caroline Arnoldine Looz Corswarem.