Top-notch algebraic topolgy departments to which to apply for a PhD in math?

Graduate School
1

<p>I am looking to apply to PhD programs in a few years, and the areas in which I would like to specialize could succinctly be expressed as topos theory and its component parts–Homological algebra//algebraic topology, and logic//proof theory//category theory. I find that I would be well-served to enter into a program which is highly representative of algebraic topology, and I have made the following, incomplete list:</p>

<p>The University of Chicago
Cornell University
Johns Hopkins University
UC-Berkeley
Harvard (Lurie’s book “Higher Topos Theory” has lead much of my undergrad research this year).</p>

<p>Any other suggestions? (I realize that these are generally “reach” schools. I am also looking at Dartmouth, Notre Dame, UCSD, Rice, and a few others).</p>

<p>Thank you!</p>

2

<p>I think the good schools for topology and geometry are UC Berkeley, Princeton, and Harvard. I’m not a mathematician but I’ve studied some geometry.</p>

3

<p>Penn is also one of the stronger departments in geometry and stronger than JHU. Obviously, Cal, Princeton and Harvard are good, but it’s pretty damn hard to get in to those schools (well Cal is much easier, but quite a few fail in their Ph.D. program).</p>