<p>One warning about LACs: if you have the talent and motivation, many math departments will push you forward very quickly. Most LACs (with some very notable exceptions) have limited upper-level math classes, which can hurt you. Many top math majors take graduate courses, so don’t automatically assume that undergrad-only is all good.</p>
Two of those “notable exceptions” are Williams College (in Massachusetts) and St. Olaf College (in Minnesota). Williams is one of the most selective LACs in the country. But St. Olaf, even though it is nationally known as a “math LAC”, is much less competitive overall; most people outside the math world have never heard of it. </p>
<p>If you want a small school with strong math that does not have cutthroat admissions, you might want to take a good look. If UCSD is a “match”, then St. Olaf is probably a match as well, based on test scores. If you happen to be Norwegian, it would be helpful, but this is not absolutely necessary.</p>
<p>In the 1990s, the National Science Foundation did a study to see which undergraduate programs were generating the most math, science, and engineering PhDs. They looked at the 1991-1995 time frame. Over that period, the 10 undergraduate programs that produced the most future math PhDs were:</p>
<p>62 UC Berkeley
50 Harvard
42 MIT
29 St. Olaf College
28 UCSD
27 UCLA
24 Reed College
24 Wisconsin
22 Minnesota
22 Princeton</p>