I studied BSc chemistry and because I didn't like it, my BSc GPA is 2.46. Alongside with BSc duration, I studied mathematics at home as a self-learner. Since my BSc-GPA was too low, so I got admission to a very low ranking university in MSc-Maths. However, in my first year of MSc I got GPA 3.78 p. I am discouraged to apply for a PhD for a nice university because:
1- My current university's world ranking is >>4000 and I doubt that it would be a 'university' from the viewpoint of universities that I am trying to get my PhD admission.
2- I don't have BSc in math and very low BSc-GPA in completely different field.
My questions are:
1- Is it possible to get admission for PhD (with full scholarship) to a high-ranking universities in mathematics with such a conditions that I have?
2- If I have to study my PhD in the same university or a little better one, do my university reputation and and low GPA-in-BSc threat my future career after PhD (even if I show strong research ability and good recommendation letters)?
My target for PhD admission is countries: Canada (first priority), Europe and Australia. And I am not targeting USA.
Thank you for your helps. And, sorry for my terrible English.
Please feel free to edit the question to improve it.