Here is a proof of systemic discrimination against women in STEM fields (the focus is on mathematics):
http://front.math.ucdavis.edu/1502.06326
http://www.laurenbacon.com/how-likely-is-an-all-male-speakers-list-statistically/
How do you think the model can be improved?
http://front.math.ucdavis.edu/1502.06326