It was so indescribably beautiful, it was so simple and so elegant
and I just stared in disbelief for twenty minutes.
Then during the day I walked round the department,
I'd keep coming back to my desk and looking to see it was still there, it was still there.
Almost what seemed to be stopping the method of Flach and Kolyvagin was exactly what would make horizontally Iwasawa theory.
My original approach to the problem from three years before would make exactly that work,
so out of the ashes seemed to rise the true answer to the problem.
So the first night I went back and slept on it,
I checked through it again the next morning and by 11 o'clock I was satisfied and I went down,
told my wife I've got it, I think I've got it, I've found it.
It was so unexpected, I think she thought I was talking about a children's toy or something and said got what?
and I said I've fixed my proof, I've got it.