  Inspired by the recent work of Henrard, Kvamme and van Roosmalen [17], we
prove a categorified version of higher Auslander correspondence in the context
of exact categories. We define n-Auslander exact categories and show that there
is a bijection between the equivalence classes of n-cluster tilting
subcategories of exact categories and the equivalence classes of n-Auslander
exact categories.
