Hi all. I posted this inquiry on sci.math, but I only got one response. I'm hoping the good folks here can be a bit more helpful. I apologize in advance for the length of this post; I saw no other way of explaining things. I'm having some trouble thinning the herd of graduate schools, and wonder if I can avail myself of the experience present here. I have no preference as to geography, though I'm a US citizen and English is my only fluent language. My issues come in two forms: where can I get in, and where can I do interesting math. To wit: Where can I get in: My background is somewhat nontraditional, thus limiting the choices. I briefly attended a high ranking school but had to leave (for reasons that shouldn't be relevant). I completed my BS at a local state university (not well known for math). I have also taken a few graduate courses at another local state school (also a small department). All this has taken many years. My grades have been good, though not uniformly excellent. In spite of this, I have confidence in my abilities, and in my grasp of the undergraduate curriculum. I can do the problems in the UCB book at a reasonable rate. I'm hoping for GRE scores in the mid 90'th percentile, (judging by practice tests). Unfortunately, when I sat for he exam this month the test center shorted me 10 minutes. I'm in contact with ETS to resolve this, but I don't expect to have scores for another few months. Recommendations are likely to be good but not stellar. Where can I do interesting math: My interests are broad, so I'm looking for a school strong in a variety of areas. As far as core competency goes, my approach to problems has always had a somewhat "geometric" flavor to it. The first thing I tend to do to an object is try to apply an algebraic structure to it. When I do topology, I tend to use set based arguments rather than ones based on limit points (in spaces where both approaches work). The *problems* I've worked on, though, usually have a combinatorial nature, so I want to be somewhere that recognizes that first class mathematics can occur in a discrete setting. Does anyone have advice? Thanks, GM.