EGA wrote:Yeah, actually I would be interested in hearing both of your preferences on schools (if you don't mind) as it seems we have related interests. I'm hoping to work in algebraic/arithmetic geometry or homotopy theory.
As far as the schools I applied to, I think Michigan is among my top preferences, as they have a great community of algebraic geometers (unfortunately not much topology). Brown is pretty good for arithmetic geometry (also Goodwillie is amazing in homotopy theory - though I doubt I could convince him to be my advisor), and Northwestern is pretty awesome on the topology side of things. UIUC appears to be attractive in all areas, and Stanford would obviously be ideal on all fronts, but I don't think I'm qualified haha
I don't mind at all because I finally found other undergrads who are dedicated to getting that PhD. My rankings are:
Berkeley: Top ranked for Algebraic Geometry, decent Algebraic Topology (Constantin Teleman), warm weather
UCLA: Algebraic K-Theory (Paul Balmer) and Homotopy Theory (Mike Hill), warm weather
MIT: Haynes Miller for Algebraic Topology and a bunch of Algebraic Geometers
Michigan: Strong Algebraic Geometry + Igor Kriz for Algebraic Topology
Brown: Never noticed Goodwillie's name on faculty list so I ended up talking with their Algebraic Geometers (Joe Harris' students) quite a bit.
Northwestern: Paul Goerss and John Francis for Homotopy + Homology Theory. Met with one of John Francis' students at a seminar and we spoke for about an hour.
UIUC: Met with Dr. Jeremiah Heller at same seminar and liked what UIUC has to offer. Familiar with campus and they have decent Algebraic Geometry. One thing to note is that they have three Algebraic K-theorists/Homotopy Theorists and Matthew Ando.
UChicago/Stanford/Harvard: Good at everything but everything is just hard there. If I could do a 4th year of undergrad, certainly place these higher.
Johns Hopkins: I really love their abundance of Algebraic K-Theory and pure Category Theory (Emily Riehl)
UIC: Currently here. They keep hiring Algebraic Geometers so there's three giants, three rising stars and a crap ton of post-docs from Harvard (Joe Harris' students), MIT and UChicago. Good Algebraic Topology (Brooke Shipley and Ben Antieau)
UW-Madison: Basically UIC with less Algebraic Geometry and much colder.
Singularity wrote:You emailed Yun or Goncharov?