I'm eager to study some advanced topics in Number Theory, of special interest would be applying them to Olympiad problems. If anyone can recommend me some resources for learning and training, it will be a real pleasure. If I find something considered of interest, I also will share it.
What do I consider as advanced topics? First of all use of complex numbers, like Quadratic Extensions and other related topics, also of great interest would be usage of p-adic numbers, anything that will imply usage of abstract algebra, in particular Dirichlet L-functions and Finite Field Extensions.
If anyone got something interesting related to the topics listed above, please answer.
P.S. I'm not sure if Brilliant allows it, but feel free to contact me at nikolshapoval at gmail dot com. If it is against the rules, please let me know and I will remove this part.