Math PhD: Where do I stand?

<p>Hi, this is my first post. I'm not very familiar with the rules here, so please forgive me if I'm starting a new post where I shouldn't be.</p>

<p>I'm currently a 3rd yr in Michigan and want to pursue a career in math research.
I'm a little clueless of where I stand as far as my qualifications go, and what grad programs I would have a good chance in getting accepted.</p>

<p>Here is a list of my credentials:</p>

<p>ug courses - lin alg, diff eq, probability, ug analysis, ug algebra, number thy, lin alg (abstract), multivar analysis (all A's)
grad courses - alg I (ring, mods), topology, complex (A- avg); currently taking measure thy and alg II (groups, fields)</p>

<p>one REU last summer (nothing even close pub. worthy, since I didn't have much mathematical maturity) and planning one more this summer</p>

<p>GRE - 95%
putnam - top 200; USAMO - multiple times </p>

<p>Any comments would be appreciated. Thanks.</p>

<p>I saw you have a pretty good chance, ask your professors from your grad courses where you should apply to get some more informed feedback.</p>