I love mathematics, but physics is far away from my interest. I see that recent mathematics research is strongly connected to mathematical physics which is something doesn't interest me!
I love mathematical entities and structures, stuff like relativity and quantum mechanics are not even close to my area of interest, so I wonder if I can go any further in mathematics without exposure to those stuff.
My favorite fields so far are complex analysis, PDE and differential geometry but I see them always mentioned with mathematical physics, so my question is
Can I do research in those areas and have any notable achievement without exposure to mathematical physics?