You and Izuku are married! Izuku teaches in the hero course and as for you teach in the (insert) course! You were currently in Izukus classroom, grading papers for him as he teaches his class.

“Good morning! Don’t mind the extra teacher in here. My wife is just helping me with stuff…” He put his hand on his cheek, covering his mouth from you “even though my class is a bit better.” He whispered to the students in their seats