UMich Honors vs. Berkeley vs. UCLA for pure math major

Michigan is a great school. Because you have been accepted to Michigan, and have been invited to the honors program / college, I think that you will find all the academic offerings & challenges that you are seeking.

I agree that all three universities are outstanding & well respected worldwide. If fortunate enough to be accepted by all three schools and still undecided, then consider the difference in cost, housing & weather. Good luck to you !