I am a man who agrees with this article.

 I am recently retired from founding and running a successful quantitatively oriented business, the president of which was a woman. We tried at every turn to find women.  We got involved in women's groups, we sent women to meet recruiters on campus and so on.  All things equal we would hire women.  Often women were by far the best candidate, for instance all three lawyers were women, but for core quantitative jobs we had a heck of a time finding candidates.

I have seem my kids, including a girl, go through high school and into university too.  It seems it is at the high school level that girls opt out of science and maths disproportionally to boys.  Medical schools are more than half female, but computer science, math, engineering and mathematical finance remain male domains.

People like the author don't need to convince me, they need to convince 15 year old girls to embrace science and technology careers.  We will all be better for it.