Am I right in assuming you are from the northeast of the U.S.? A tough region from which to get noticed by HYPSM as they tend to care about geographic diversity and the states in that region are considered āoverrepresentedā. For that reason, Iām thinking Chicago is your most likely bet. Iād also take a serious look at Washngton U., Vanderbilt and Duke.
Looking for something with the style and sophistication of the northeast but below the radar? Take a look at the NESCAC colleges. In the words of a former Amherst adcom, theyāve prospered immensely from HYPSM rejects for as long as anyone can remember. Amherst, Wesleyan and Williams, in particular, are known for their science facilities and often refer to themselves as New Englandās āLittle Threeā.
Just a few suggestions of colleges to check out with an Astrophysics interest besides āthe usual suspectsā. With your numbers, you can be picky about your Likelies and softer Targets, and in fact can look for places where merit is a serious possibility (it may not be necessary, but it is always nice):
If you would be interested in considering smaller undergrad-focused institutions (not a bad idea if your path eventually would go through grad school anyway), one obvious choice to me is Franklin & Marshall. Well-known for being strong in physical sciences, a grad school feeder, and has merit. Unusually for an LAC, they also have a full Astrophysics major:
For midsize research universities, Rochester could be an excellent option. They have merit, very strong in Physics, again very good grad program placement, and they have a BS in Physics and Astronomy suitable for aspiring Astrophysicists:
And then since you mentioned tech-focused options like MIT and Caltech, you could check out RPI. They have a very flexible Physics curriculum, including a customizable Computational Physics track you might want to consider (they mention they have already approved an Astrophysics version of this track), and you can also do minors in Astronomy, Astrophysics, or Astrobiology:
These are just some of the possible ideas, but if you are at all interested in RPI, you should immediately ask your counselor about the Rensselaer Medal. Great program, and nominations are due May 1:
Even if awarded the Medal, you are not committed to accepting the offer, so it would be a great thing to have in your pocket.
With smaller schools, be sure to check the upper level physics and math offerings. Because physics is often a small major, and physics instructors have to service other majors (e.g. biology and premeds), small departments may offer some major courses at minimum frequency (once every two years) and offer few or no upper level electives. Being highly advanced in math means checking if there are enough upper (and graduate) level math courses if you decide to go in that direction.
Thatās fair - mainly Iām just suggesting OP determine what she wants, beyond it showed up high in a magazine ranking, which seems to be the initial screen.
I note if small colleges are under consideration, Bryn Mawr, Swarthmore, and Haverford are not bad choices including because of their consortium relationship with each other and with Penn, which expands out the upper level course options. Physics is actually a relatively popular major at Haverford speciifically, and they have a dedicated Astrophysics major:
I do a lot of self-study math, physics, and CS. I use lots of programming in my research, including Python, MATLAB, and Simulink. I do MIT OpenCourseWare as well.
Wesleyan has an Astrophysics PhD (probably the only LAC that does); not that youād necessarily want to pursue one there, but just to let you know that its undergraduate Physics dept. has the necessary depth.
You have an excellent profile so youāll be a competitive applicant everywhere. That being said, please make sure you have a couple of admissions targets and safeties that are strong in your major that you would be happy to attend (and be honest with yourself here). Too often strong students have a list of elite reaches and an afterthought safety/likely school that they wouldnāt want to attend. Given the competitiveness of elite schools these days that isnāt a great strategy. Youāve gotten a lot of great suggestions for some safer alternatives above so Iād suggest checking those out and see if any could be a good fit. Best of luck to you!
Next year, register at a local high school which offers AP physics C for both physics C exams. Ask their AP coordinators for an exam only join code. Hopefully at least one school in driving distance will agree.
You might also want try your hand at the f=ma and USAAAO exams in February. Thatās too late for early round applications, but in time for RD / ED2 / LOCIs.