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 ?