I am new to this webboard so I am not sure if I can ask this questions here (I am sorry if it is not suitable).
I am currently pursuing a MS degree in Pure Mathematics in a university in America. In a half year time, I will earn the MS degree, and I would like to continue to Ph.D. program. The thing is, for almost two years I spent time at this university, I had a really hard time. I believe that the math program here is quite strong, and I feel that my academic background is not suitable to stay here any longer. So I am trying to find another university to attend Ph.D. program.
To be more precise, I think that I am interested in Number Theory (might be either algebraic or analytic) and Analysis (Real analysis). I also can do relatively good in Algebra. So what I am looking for is a suitable university with relatively decent program in number thoery or analysis (or algebra).
The suitability here I suppose that I mean the program is not too intensive. I do not want to go to the best 50 math graduate school since I know that my academic insight does not that good. I am looking for a university with acceptable Ph.D. math program with relatively easier qualification requirements. I am not sure how to select universities which match my requirement. It is also hard to ask for suggestion for choosing a less intensive Ph.D. program to my advisor. (Most of the time, people are looking for a good best-25-math-grad school. So there is almost no information about a decent or relatively lower math Ph.d. program. That why I decide to ask it here)
If anyone experienced my situation or can suggest what I should do, please leave the advice below.
If you need more specific information in order to give more helpful advice, please mention it.