Mathematics after engineering

Introduction : First let me tell you something about myself. I am a 4th-year undergraduate student pursuing BE in ECE from NSIT, Delhi. I liked Mathematics from my school days. I used to solve math problems for hours in a day. During JEE preparation also, I was so focused on Math and Physics that I could not give much time to chemistry. During JEE preparation days, we learned Fermat’s last theorem and I was so astonished by the fact that it took decades to prove this simple result. For me, this Theorem was the first example to demonstrate the Beauty of Mathematics. I wanted to pursue math right after my 12th but due to societal pressure and lack of knowledge about BSc. courses, I ended up joining NSIT. At that time, I was also not aware about the pure science courses in IISER’s. First 5 semesters in college (THE PLAN) : After joining NSIT, I tried to build my interest in ECE(I wasn’t interested in coding at all which is the reason why I didn’t go for CS stream). I tried exploring di