I'm a sophomore in Electrical Engineering and have a keen interest in abstract mathematics. As you know the mathematics taught in the first two years of engineering is nothing but more applied mathematics comprising of Fourier/Laplace/Z transforms, some linear algebra, numerical methods and probability.
I, on the other hand, am interested in pure mathematics. I try to study on my own whenever I get time from my engineering course. Its not that I dislike my EE course but I am more inclined towards pure mathematics.
Is there any intersection of the two, in which I can pursue my MS/further studies. Something which gives me a flavor of both? Sorry for the long post and if my question appears too vague. I'm hoping to get some guiding light from the esteemed members of this forum.