Fraenkel was to spend the rest of his career at the Hebrew University, being appointed the first Dean of the Faculty of Mathematics, and serving as the rector of the university for a period.
Fraenkel ay sa gastusin ang natitirang bahagi ng kanyang karera sa Hebrew University, na hinirang ang unang Dean ng Faculty ng Matematika, at magsilbi bilang ng rektor ng ang unibersidad para sa isang panahon.