N.M. Stat. § 21-3-7
Said boards of regents shall have full and complete power and control over their respective normal schools [universities]. Each board shall employ a superintendent or principal for such school who shall have the supervision and control of the school under such rules and regulations as may be provided by such board. Such board shall determine and provide as to what branches of learning shall be taught in such school and the classification and order of the same, and shall also direct the number of teachers that shall be employed, and shall determine the compensation to be paid to the superintendent and teachers. Such board shall also prescribe upon what terms and conditions pupils shall be admitted to such school, but no pupils shall be admitted who are not residents of this state, except on payment of a tuition fee to be prescribed by the board of regents for each term.
NMS § 21-3-7