Undergrad/grad major subject correlates with IQ. The population of teachers that majored in math should have a higher average IQ than the population of teachers

Undergrad/grad major subject correlates with IQ. The population of teachers that majored in math should have a higher average IQ than the population of teachers who majored in other subjects, controlling for university. I would be shocked if teaching ability didn’t correlate with IQ. I’m sure it’s not a perfect correlation, but it should be there. And yet, I cannot find anything on the subject. That is very suspicious. It’s like no one wants to look into it. Can anyone tell me what’s going on here? Did I miss something, or is it just common sense that the intelligence of your teacher doesn’t matter?