men are by nature better at math and science then women
I would not say these are the only advantages of men.
I also believe men are more motivated (which explains why more men tend to focus on narrow occupations, or why almost exclusively men are inventors. It takes a lot of skill, and mostly a lot of time, and it is not even sure if it will be a success. This is why men are almost exclusively inventors, also because men are more risk-oriented and risk-loving than women.
Also, I believe men are more charismatic. Men can also be very good and strong leaders (yes some women too, however I say more men than women can be strong leaders, also because men tend to have more charisma on average).
Also, humour is more a typical male treat, than a female treat. Just look at how many more male stand-up comedians there are and comedy is mostly dominated by men on television in general.
Lastly, men are better at sports. Sports is also dominated by men.
Maybe there are other advantages too, but I don't have the time to think about it right now.
Women also have advantages of course, but I believe this is most of the time in different fields.