Who leads the prayer if the wife has memorized more of the Quran than the husband: Is it the one who has memorized more, or the man?

It is not permissible for a woman to lead a man and men in prayer, and there is no disagreement on this matter. It has been explicitly stated that a woman invalidates a man's prayer if she passes in front of him. This is coupled with the saying of the Prophet (peace be upon him): "The Imam is a shield," and his ruling that a woman should be behind a man in prayer, and that the Imam stands in front of the congregants. From these texts, the invalidity of a woman leading a man and men in prayer is definitively established.