SomeoneThrewMyShoe

He is likely not a troll. This is the honest to god way a lot of men in STEM and other fields think. 

To be fair, you do sound a bit insufferable. 

I've literally been told all of this BS to my face from people in academia, so even if this guy is a troll, there are a lot of people who legitimately believe this. 
(And yeah, it really hurts to be on the other end of this when you've worked so hard. It can feel degrading. I have an honors ivy quant degree, a perfect GRE, a first-author paper submitted to Science, olympiad background, years of research and industry experience... but apparently that's not enough and all the smart men don't get into programs because of the dumb women like me taking their place.)

Honestly your first statement sounds like a perfect example of confirmation bias. You, and the others who pay attention to it, expect to see women getting into "higher tier programs" since you think they are getting chosen because of their gender, so you do and because you are looking for this "evidence/pattern" you focus on it to strengthen your argument that this trend is occurring even though it might not actually be a real trend. Have you looked for evidence that contradicts your belief that women get an advantage getting into higher tier math programs? Because recognizing contradicting evidence is one of the best ways to thwart confirmation bias tainting your personal view of something.
But since you are so upset about people citing your lack of evidence for this trend, I will also address your question as to whether this trend (if it is occurring) should be happening.  Women are routinely told they shouldn't/can't excel in math and often get harassed in these "boys club" type settings, so maybe it is okay if they are getting chosen because they are women. If women aren't encouraged to be in this setting, maybe having some opportunities that are open to them that are not open to similarly qualified men is not a bad thing since this can lead to changes in the system as these women enter the field which will then hopefully make the field that much more open to women following them.

Lemonade came out like 2 years ago, and I'm still not over how awesome that album is! Haha

I agree and I apologize if I implied that a mismatch of the gender distribution of graduate students and the general population means there is discrimination at the graduate admissions level.
(Aside: I do, however, think that each field of academia should have roughly equal distribution in demographics of academics as the general population. One reason is that people are often personally motivated to do research, often in areas of disease treatment etc. Another is that it is my opinion that the only point of doing any research is to benefit humanity and therefore, the people doing the research should represent humanity, not just a subset of humans who have the opportunity to do so. However, this is problem at a much larger level and I'd say it is beyond the scope of whether there is bias at the graduate admissions level or not.)
Back to the scope of this thread: The "control group" we must compare to is the pool of which the graduate applicants come from. So, if you accept the basic premise that men and women are equally brilliant**, then you would expect that the demographics of people accepted into grad school should match the demographics of people applying to grad school. If we do not see this, then there is something introducing bias at the admissions committee step. This is why I also brought up the fields medal example. The fraction of women in Math is much more than 1 in 56, yet the Fields Medal has only been awarded to a woman once in 56 times.
The bias could be many things, including unconscious ones due to the committee choices, conscious ones due to prejudiced committee members, and systematic ones that unfairly favour men over women that aren't directly in the control of the committee. An example of the last one is GRE scores. Findings from ETS show that men score higher than women. Again, if you accept the premise that men and women are equal, the only logical conclusion is that the test is biased to favour men. Incorporating these metrics into the evaluation means the committee will (knowingly or not) favour men.
Why does everyone think it is happening if no one can actually provide evidence for it. That doesn't sound like logical thinking to me and this also leads to observation/confirmation bias. I have had colleagues comment on the gender bias in conference sessions (i.e. "too many women were speaking") but when you actually count, it was representative of the field. When the norm is under-representation, equal-representation appears to be over-representation.
Also, I want to address this point too. I think you are setting up an unrealistic imaginary scenario and then trying to draw conclusions from it to apply to circumstances you appear to be observing in the math departments. For any pool of applications to grad school, it is very unlikely for two applicants to be otherwise identical.
However, there have been lots of actual studies done where reviewers/evaluators get two applications/proposals/resumes/etc. that are indeed identical, except for the name, and the result is that men are picked much more often than women. Here is an example. Same resume, different gender for a STEM job: https://blogs.scientificamerican.com/unofficial-prognosis/study-shows-gender-bias-in-science-is-real-heres-why-it-matters/

In my committee work, we have seen clear empirical evidence to the contrary. That is, we find women underrepresented in the candidates that were accepted to the program. In all of the STEM fields. We find further underrepresentation in the number of women that choose to attend (i.e. the fraction of women that attend our school is lower than the fraction of women accepted to our school). Our school is a top tier program. 
I don't think there is a bias against men at all in STEM admissions, if that is what you are implying. If we want to discuss Math specifically, I can point to many examples of gender bias against women / for men. For example, the Fields Medal in Math has been awarded 56 times since 1936, to 55 men and 1 woman (in 2014) [citation]. There will be another round of medalists this year so maybe that number will increase. Yes, I am aware that the Fields Medal is certainly a different type of competition than a graduate school application, but to match your statement, I would say that anyone familiar with the field of Math would contend that the field itself has a bias towards men and the Fields Medal list is just one example.
As @Comparativist said, can you provide any evidence for your claim that math graduate schools are biased towards admitting women?

To clarify, I am talking about discrimination for admissions -- and maybe this doesn't happen in all STEM fields, but it certainly does in math. Take a male candidate's application, change nothing but the gender, and they would have a whole new tier of schools accessible to them.
Again, I don't think anyone who is familiar with this would contend that math grad schools don't have this (fully intentional) bias. My question is more whether or not it is justified.

I have two grad school offers: 
School a: has a generous stipend with a low cost of living. The faculty is nice and the campus is beautiful though the town surrounding it is a bit dry & lackluster. This stipend is paid over 9 months which means I’m on my own during the summer. The school is also only 4 hours away which is a huge plus and I’ve found an apartment I LOVE!
School b: has a stipend much lower despite being a bit more “prestigious.” But the stipend is paid over 12 months, funds summer classes and gives $1000+ travel funding. The campus is also a tad nicer with a more lively town life. The faculty is bigger but I’m not sure about “better” and the average class size is also larger. This school is 9 hours from where I live.
I mention distance b/c Both are obly MA programs so whichever decision I make, it won’t be as permanent as a PhD program.
So which should I choose? The school that’s close to home with a good stipend and great faculty? Or the school that’s more prestigious, offers summer funding and has a busier town life?

I got accepted into the program that originally waitlisted me. This is the end of this waiting cycle and I'm so happy that it ends with an actual offer. Cannot believe it.
Good luck to those still waiting !

I have finally made my decision which is a HUGE relief! The only downside is that I did have my decision kind of made for me since the environment in one of the departments I was accepted at and visited is not an environment I would be happy in for 5-6 years. But that does go to show that if you have the ability to visit a department before accepting you really should since a visit can help you be aware of major red flags you might not know about unless you visit.

@muskratsam I wanted to attend but I already signed up for the march against the first amendment

I've made my decision and am happy!
Now to craft 4 emails telling programs I'm not attending 

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

Everyone: would you attend a program you did not visit? Everybody in grad school tells me it is imperative to attend a grad school to see the environment for yourself and, while I agree,  I do feel bad for rejecting a place mostly because I was unable to visit. In my defense I think funding is better at another program that I visited and fell in love with, but this program I couldn't visit seems fantastic on its own, too.
Just wanted to hear an opinion (I know not everybody gets a chance to visit before attending a program), but honestly I am closer and closer to deciding.

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

Thank you! I emailed everywhere else to let them know I'm not attending so:
I'm officially done!!! 

CONGRATS!

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

That just happened to me yesterday.  I felt so intimated because the student got a master’s first and took graduate classes before.  They wouldn’t have admitted us unless they thought we could handle it.  Congrats on making a decision. 

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace. 

So yesterday I visited one of my schools, felt like the biggest imposter in the world, maybe had a bit of a stroke, and then I SIGNED A CONTRACT?
I haven't even heard back from two of my schools (one I'm waitlisted at, another is an assumed rejection) but I FELL IN LOVE with the labs and the department and some potential advisers and the current grad students were all really cool (and sooooo intelligent, I'm kinda out of my league here). 
And because of the snow that's hitting the East right now I'm stuck here for another day (and the department generously paid for another night at the hotel) so I'm going to go buy some apparel and explore.
I.am.so.at.peace.