<p>I'm aiming at applying for about ten Ph.D. programs in pure mathematics, but I am very ignorant of what schools are within my reach. The list of the schools is at the bottom.</p>
<p>I come from a small, unknown liberal arts state University. I have a 3.7 GPA overall, and 3.7 GPA overall in Math (All A's in Upper Division, B's in Standard Calculus Sequence). I scored a 20 on the Putnam. I have no research experience -- except a Senior Thesis, which was basically filling in the missing details of an AMM article. I did give a couple of talks about my work there, one at a local University, the other at MathFest.</p>
<p>My school is on a quarter system not semester; for upper division I have: Group Theory, Ring Theory, 2xLinear Algebra, Complex Analysis, 2xAdvanced Calculus, Discrete Math, Differential Equations, Probability, Statistics, Math History, Cryptology, Point Set Topology, and Number Theory.</p>
<p>I have a wife and two children, so between being a TA and my studies, so I can devote no more than 50-55 hours per week in pursuing a Ph.D. I am mostly interested in pure math.</p>
<p>So, finally my question: </p>
<p>Given my credentials and personal limitations, what kinds of schools should I be looking at or avoiding? (I take the GRE in November, I should get at least 80%, but I'm working very hard to try and get 90%.)</p>
<p>Here are places I am currently considering:</p>
<p>Yale, Michigan(Ann Arbor), Texas(Austin), Washington(Seattle), Oregon(Eugene), California(Davis), Oregon State, Idaho(Moscow), Cornell, Purdue, Michigan State(East Lansing), North Carolina State(Raleigh), Arizona State(Tempe),Kent State, Oklahoma(Norman), North Texas(Denton), Ohio (Athens)</p>