N.M. Stat. § 22-3B-4
Residence.
A candidate for the office of public education commissioner shall reside in the district
for which the candidate files a declaration of candidacy at the time of such filing. A
public education commissioner shall reside in the district from which the commissioner
was elected or appointed and shall be deemed to have resigned if the commissioner
changes residence to a place outside the district. Vacancies shall be filled as provided
in Section 16 [22-3B-16 NMSA 1978] of the 2021 Educational Redistricting Act.