Let me introduce my background first. I am now a mathematical physics master student in Germany. I obtained my Bachelor in physics in Asia, used to be a M.Phil student in my undergraduate's university, but then I decide to quit, switching to Germany.
I don't take many math course except calculus,linear algebra and topology. Rather I self-study mathematics, including abstract algebra,analysis,geometry,etc. So I am not sure my mathematics background is good enough or not. But at least I got 1.0 in both geometry in manifolds and group and representation. So I am optimistic about my background.
In next semester, I will choose as many math course as I can, but not all of them are basic course. So I do not have a formal background of a math undergraduate student as. Also I don't know if my master degree can be count as a master in mathematics.
Question: Based on my situation, do I have a chance(or how many chance) to get admitted in U.S or Canada school for a pure math Phd? I know that unlike Europe, it seems they required a background of mathematics. So I am afraid it may hurt my chance to get admitted.