I have completed studying Galois theory, Fermat's Last Theorem for Regular prime and some number theoretic complex analysis (prime number theorem), and basic linear forms in logarithm.
What else should I complete reading to be eligible to read contemporary literature in Diophantine Equation (Exponential) ?
My graduation was in engineering, so I am from non-math (I mean serious math!) background, and I am not going to a university in near future, but wish to conduct research as an independent researcher.
There might be a lack of specification in my question, so if possible, adjust your answer according to that, also feel free to edit.