I am masters student and I am applying for phd position in analytic number theory in Europe. But there are very less number of professors in analytic number theory as compared to algebraic number theory. Also some professors to which I wrote didn't even replied.
Recently I was watching a lecture of a professor of India whose name is Ritabrata Munshi (ISI Kolkata) who works in analytic number theory, he mentioned in interview his phd guide was Andrew Wiles who he mentions as an algebraic person. Then professor Ritabrata munshi mentions prof Andrew Wiles didn't changed him to an algebraic person and Ritabrata munshi works even now in algebraic number theory.
So, my question is, should I apply to professors working in Europe in algebraic number theory for working for my phd thesis in analytic number theory OR
I should consider this case as an exceptional case as Andrew Wiles is one of legendary persons in Mathematical Community and I as I was searching about Prof Ritabrata munshi , he has also made great contributions to analytic number theory and I should also remember how good in Mathematics Ritabrata Munshi must be as Wiles agreed to guide him for phd at Princeton University!!
So, is applying to professors working in algebraic number theory for phd in analytic number theory right or wrong?