I’ve been thinking about your situation and have come up with a list of schools that are strong in math (offering through a doctorate in the field). They also have gone on to produce a number of alumni who went on for a PhD in the field. For the most part, I kept to the general geographic parameters of your original list (Mid-Atlantic and New England) though I did throw in a few outliers. All of the schools on this list offer merit aid, and for some I included the source for merit info.
Johns Hopkins, for instance, offers scholarships up to 2/3 the cost of tuition. That still leaves nearly $21k to pay for tuition plus an additional $20k for room & board, totallling about $41k. So, that’s a lot better than paying more than $83k/year, but if $41k/year isn’t within the budget, then it should be eliminated. Same thing for Brandeis (max of $24k) or Northeastern (max of $28k).
Additionally, it can be very challenging to get a maximum merit award. Your chances are probably likeliest at schools that are not the most competitive.
When chancing students, I usually use categories like this
Extremely Likely (80-99+%)
Likely (60-79%)
Toss-Up (40-59%)
Lower Probability (20-39%)
Low Probability (less than 20%)
In terms of finding big merit aid awards, I’ve now started another classification system. A system like this might help your family to gauge how it wants to craft the college application list in terms of trying to suss out the likelihood of a school coming back with a favorable financial result.
Extremely Likely (80-99+%) Schools that list big award packages or NPC results for a student with the appropriate stats
- U. of Arizona: About 39k undergrads and a very well-reputed honors college; 65 doctorates. With your current stats, you’d get $32k/year, leaving about $24k/year in costs (source).
- U. of Nebraska: About 19k undergrads; 63 doctorates. The NPC indicated that you’d be likely to get at least $20k/year here (which would bring costs to about $21k/year) and that you’d be competitive for the full ride scholarship. (I suspect that because they’re likely to give you the OOS waiver that you’d then be eligible for the President’s Scholarship, as I indicated Connecticut as your home state).
Low Probability (likely or extremely likely admit that has a selective number of big merit scholarships)
- Clarkson (NY): About 2700 undergrads; 18 doctorates. Up to full tuition scholarships are available (source).
- George Washington (D.C.): About 11k undergrads; 19 doctorates. Up to full tuition scholarships are available (source).
- RPI (NY): About 5900 undergrads; 69 doctorates. Offers up to at least $40k/year (Medal, but awards do not stack…source).
- Syracuse (NY): About 15k undergrads; 12 doctorates. Offers up to full tuition, stacked (source).
- U. of Maryland – College Park: About 30k undergrads; 84 doctorates
Very Low Probability (toss-up or lower probability school with very few big merit awards, or a more selective school with a higher percentage of students getting a big merit award)
- Brandeis (MA): About 3700 undergrads; 29 doctorates. Offers up to $24k/year in merit aid (source).
- Lehigh (PA ): About 5600 undergrads; 13 doctorates. Offers up to full tuition scholarships (source).
- U. of Rochester (NY): About 6800 undergrads; 51 doctorates. Scholarships of up to full tuition available (source).
Really Very Low Probability (lower probability of admission and then extremely competitive to get a big merit award)
- Case Western (OH): About 6k undergrads; 33 doctorates. Up to full tuition scholarships are available (source).
Extremely Low Probability (low probability to get into the school, and then extremely competitive to get a big merit award)
- Boston College (MA): About 10k undergrads; 25 doctorates. Up to full tuition scholarships are available (source).
- Boston U. (MA): About 18k undergrads; 52 doctorates Up to full tuition scholarships are available (source).
- Johns Hopkins: About 6k undergrads; 28 doctorates. Merit scholarships up to 2/3 of tuition are available (source).
- Northeastern (MA): About 16k undergrads; 14 doctorates. Offers merit scholarships of up to $28k/year (source).
- U. of Chicago (IL): About 7600 undergrads; 210 doctorates
Then there are these schools that I’m not going to categorize, except that I think they’re all likely or extremely likely admits for you. Not knowing much about your budget, these schools may have the potential to meet that threshold. If you only need a partial scholarship rather than the biggest scholarship, then the odds for getting the right combination improve. Additionally, Stony Brook and U. at Buffalo would cost no more in tuition than it would cost to attend UConn, as there is a flagship match at those schools. Though Binghamton is not included in the flagship match, for you, I suspect they would make themselves competitive. But there are schools below that offer full tuition or full ride scholarships, and I think you could be competitive for them.
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Binghamton (NY): About 14k undergrads; 34 doctorates
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Ohio State: About 46k undergrads; 73 doctorates
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Penn State: About 42k undergrads; 71 doctorates
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Rutgers – New Brunswick (NJ): About 36k undergrads; 76 doctorates
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Stony Brook (NY): About 18k undergrads; 64 doctorates
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U. at Buffalo (NY): About 21k undergrads; 30 doctorates
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U. of Connecticut: About 19k undergrads; 27 doctorates
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U. of Delaware: About 19k undergrads; 25 doctorates
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U. of Massachusetts: About 24k undergrads; 35 doctorates
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U. of Minnesota – Twin Cities: About 39k undergrads; 51 doctorates
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U. of Pittsburgh (PA ): About 24k undergrads; 47 doctorates
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U. of Rhode Island: About 15k undergrads; 22 doctorates