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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]OP, what are her goals? Graduate school, the job market? What is the financial situation?[/quote]

She wants to pursue a PhD. We are very comfortable financially. -op[/quote] Then she's in a good spot, as PhD admissions in math is mostly about your (ideally graduate-level) math background, letters of recommendation, and research experience. Certain schools are very strong at the graduate level while not being super selective at the undergrad level - Stony Brook might be the most extreme example, but realistically she should be fine at any of the R1s publics mentioned in my previous comment - OSU, NCSU, UGA, etc. as they are often flexible with students taking grad level courses early.

Does a particular area of math interest her? What area has her research been in?[/quote]

Her research was in Number Theory.[/quote] I suggest visiting some of the universities mentioned here and talking with professors about the academic opportunities, opportunities to meet major requirements using the grad level version of the courses, etc.

What's her pure math background? Has she studied any advanced math like advanced calculus, proof-based linear algebra, etc. ?[/quote]

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