DS narrowing down list Pure Math 1520 [CA resident, 4.0 unweighted GPA, 4.0/4.3/4.6 for UC, $80k for four years]

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This topic may help your son further refine his list:

For Students Seeking a College Strong in Mathematics

College Transitions lists these schools in “Best Colleges for Mathematics.” Schools in bold also appear in a Princeton Review sampling, “Great Schools for Mathematics & Statistics Majors”: Amherst College Bowdoin College Bryn Mawr College Carleton College College of the Holy Cross Davidson College Hamilton College Harvey Mudd College Haverford College Pomona College Reed College Swarthmore College Williams College Brown University California Institute of Technology Carnegie Mellon University Columbia University Cornell University Duke University Harvard University Johns Hopkins University Massachusetts Institute of Technology New York University Northwestern University Princeton University Rice University Rensselaer Polytechnic Institute Stanford University University of Chicago University of Notre Dame University of Pennsylvania University of Rochester Vanderbilt University Washington University in St. Louis Yale University Colorado School of Mines …