I was doing a Master degree in Algebraic Geometry, though I was working on projective geometry rather than number theory. Because of this, I can follow this qui

I was doing a Master degree in Algebraic Geometry, though I was working on projective geometry rather than number theory. Because of this, I can follow this quite easily right up until it goes into intricacies of modular forms, after that there are some familiar concepts like deformations or Gorenstein modules, but the whole picture is completely blurry. What I find interesting though is that behind every single sentence I could I understand from the first half of this article, there were literally hours of time spent on learning the concepts. For instance: >With this addition, the solution set has the structure of an abelian group, with ∞ as the neutral element. The inverse of (x, y) is (x, −y), and the sum of three points vanishes if they lie on a line. This just reminds the hours I spent learning about group of Weil linear divisors, how they correspond to Cartier divisors on nonsingular varieties, why O(a) != O(b) for a != b if a, b are codimension 1 subvarieties (i.e. points) of eliptic curves, and so on, and so on. Literally every single sentence brings back memories of hours of study. Now, reading sentences from the half I don't understand makes it completely obvious to me that just like the hours I spent to understand the first half, I need more hours to understand the second half. I feel sad I don't do math anymore.