I was a very good math student in high school. I was in the national level Olympiad team. Now I'm studying at the best college in my country with really good mathematicians.
I've all almost all of my confidence in the pursuit of finding rigorous proofs in abstract algebra. As a result I no longer have an open to come up with new ideas, worrying that it may not be rigorous enough and hence restricting myself to the usual methods. This was shocking visible to be in a quiz today where i was given a nil-potent element (rm = 0 in a ring structure) and I didn't even see the fact of higher power of r greater than m being equal to 0. This was completely shocking to me as I always had a systemic approach to problems. Also, the terms such as quotient rings haven't given an intuition picture even though my peers get it so easy.
Problems from M.Artin which merely have any logical sophistication with merely a few lines of proof is giving me such a pain. I feel extremely bad when I look up the answer after pondering over it and seeing how trivial it is. While my batchmates, they recite the proof orally. It's even more frustrating when they say it's trivial orally while I can't solve it on paper.
Is my math just no good anymore?