What Are the Best Undergrad Physics Programs for a Student with a 3.3-3.5 GPA?

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A junior in high school is seeking advice on the best undergraduate physics programs, given a GPA of 3.3-3.5 and an SAT score of 2010. They have engaged in research with both a physics and a math teacher, focusing on differential geometry, and are self-teaching astrophysics. The student is considering universities like OSU, UoA, and the University of Illinois-U&C but feels these may be safety schools. Suggestions include applying to prestigious institutions such as MIT, Harvard, Caltech, and Princeton, emphasizing the importance of strong letters of recommendation and a detailed statement of purpose that highlights their self-study and research. It is noted that MIT allows for an optional paper about research, which could enhance their application.
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Hello,

I'm currently a junior in high school looking for the best undergrad physics program based off of my grades. Just to give you an idea:

GPA:

Unweighted: 3.3-3.5
Weighted:Not sure

Extracurriculars: Did some research with Physics teacher, and some research with Math teacher (differential geometry), self-teaching Astrophysics 1(which is why my GPA is low...sadly)

SAT:
2010 ( 750 M, 600 CR, 660 W)

I've been looking at OSU, UoA, and University of Illinois-U&C. I feel like I've been looking at universities that are somewhat of safeties. Are there any other great undergrad physics programs that I should be looking at?
 
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If you are doing differential geometry research and can get good letters of recommendation, then I'd at least pick two big name schools (i.e. MIT/Harvard/Caltech/Princeton). You don't lose anything except a few dollars, and you might get lucky.

One thing that would be useful is if you can mention in great detail exactly what you are studying in your statement of purpose, and if you can get someone to include your self-study in the letters of recommendation that would be very, very useful.
 
Yeah my physics teacher and my math teacher both will write extensive and detailed recommendation letters. Thanks for the information as well.
 
For MIT, I think you can write an optional paper about your research/project. I think that'll definitely help your chances! I'm doing something similar.
 
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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