Hi all,

First, I'd like to thank everyone here for all the helpful information that even a lurker can benefit from.

I've been fortunate enough to get an acceptance letter from DAM @ Brown (that list of rejections on grad cafe was a bloodbath! ) -- the only school I got accepted to.

My question is: how good is Brown? I've seen the rankings, it's high for applied, but what's going on there currently? How are the profs? How easily can I work with someone in pure math? What are Brown's specialties? Who are the really good researchers in applied math? Specifically, I am interested in Fourier / harmonic analysis, Lie theory, geometry, topology and PDEs, in so far as these can be applied to real-world problems and numerical analysis.

I'm asking because I have the potential of getting a one year master's and applying again, this time with a better GRE score and a possibly more focused area of research, numerical methods with Lie groups and invariantization. I've been told I can get into any school I want if I play my cards right -- I've been looking particularly at MIT and Princeton's ACM.

I have to say I still don't know wtf I want to do. Brown looks like a good place but maybe it wouldn't be a bad idea to stay at my home institution, pick up some more knowledge and then target specific researchers to do really good things with them.

Does anyone have any insight? I'll appreciate any comments.