Schools Attending Top Math Graduate Schools: Average Student Profiles

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The discussion centers on the profiles of students accepted into prestigious math programs at institutions like Chicago, Michigan, Princeton, and Harvard. Key factors for admission include high GPAs, strong GRE scores, and experience with independent projects, although the weight of these elements is debated. Participants express concern about the competitiveness of their own academic records, particularly those with lower GPAs from earlier college experiences. The conversation highlights the pressure to improve academic performance to meet the standards of top graduate programs. Overall, the emphasis is on the rigorous preparation needed for successful admission into elite math schools.
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It may be tough to speak for such a thing, but does anyone know what the profile of students who get the chance to attend the likes of great math schools like Chicago, Michigan, Princeton, Harvard, and so on actually are like on average? Is a significant factor the fact they were able to learn very advanced things rapidly and work with them successfully?

Because I imagine a significant number of students who have a realistic shot at these places have good GPAs and decent GRE scores, along with some experience working on independent projects. Also, sure they value good grades and scores, but how much is another broad question I have had.
 
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To clarify, I understand that recommendation letters are very important, but I'm wondering more about some of the actual raw profiles.
 
wooow after reading those I'm really going to have to work a ton and get a lot better to get into graduate school.
 
I know how you feel Chetlin. I'm doing everything I can to set myself up for grad school (Applied Mathematics); however, I have a HUGE mountain to climb. I spent two years after high school goofing off in college (2.03 GPA) then joined the military. Since getting back in school, I've maintained a 3.58 GPA, but my older grades are still haunting me (comprehensive 2.30 GPA).

So good luck to you my friend and hopefully we'll both be in at least a masters program in the future!
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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