Graduate Studies in Mathematics in Canada

As the title suggests, I want to know that what are the best Universities in Canada for Graduate Studies in Pure Mathematics ? In particular, what about University of Waterloo and University of British Columbia (Pure Mathematics) ?

Is doing a Ph.D from any of these two universities advisable ? What is the academic standing in Pure Mathematics of these two universities in comparison with other American Universities (apart from top 10 Universities) ?

If given a chance to choose between these two universities and some other American Universities like Indiana University, University of Illinois Chicago, Purdue University, Emory University etc., which would a better option (in terms of faculty strength, seminars and productivity) ?

I understand that the questions which I have asked are rather broad, so any sort of help would be highly appreciated.

Thanks.