I wouldn't argue with any of this, but the rarity of female math geniuses is very unlikely just another instance of keeping women down.

Who would argue against fairness in admissions? In STEM work? There has been more progress since 1980 in this kind of equality than in the millennia previous. May it continue to full equality.

I need to add something though and I don't seek to be offensive ... I recently removed myself from a blog community where three members would shoehorn unfairness to women into the most unrelated topics, daily bitter rants that got very old. They could not accept that any man was with them. In this chapter of this forum we're discussing gender issues. I don't deny a word of what you wrote but please don't make a habit of it. Thanks in advance.

My degree is in mathematics and I've been reading the history of mathematics since before my voice changed. I don't think you can make the case that the gender inequality of these trailblazing mathematicians can be lain at the feet of misogyny.

Poetess Emily Dickenson was unpublished in her lifetime; when her writings were discovered she was elevated to the highest esteem in poetry, and that was long before feminism. There have been stellar female mathematicians and physicists (Emmy Noether springs to mind) but the Galois/Gödel class seems reserved to young men.

As for representation in STEM I think it's more complicated than that. I'm a software developer and technical writer (my boss is an American woman though the company is in London) and concede that I have worked with very few women. There are a lot more of them in HR and the business side of the industry than writing code.