評論
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Now you might ask and it's an obvious question,
你可能會問，也是個顯而易見的問題，就是：
why can't you do this with elliptic curves and modular forms,
為什么你不可以用橢圓曲線和模形式來進行
why couldn't you count elliptic curves, count modular forms, show they're the same number?
為什么你不可以數橢圓曲線、數模形式，再表示它們一樣多?
Well, the answer is people tried and they never found a way of counting,
答案就在于人們試過了，但從未能找到一種計數的方式，
and this was why this is the key breakthrough,
這即為關鍵突破所在的原因
that I found a way to count not the original problem, but the modified problem.
我找到的方式不是來計數原問題，而是修改后的問題。
I found a way to count modular forms and Galoisrepresentations.
我找到了一種計數模形式和伽羅華表示的方法。
This is only the first step and have already taken 3 years of Andrew's life.
這只是第一步，但已花費了安德魯三年的時間。
My wife's only known me while I've been working on Fermat.
我太太只知道我在研究費馬定理。
I told her a few days after we got married.
結婚后數天我告訴她的。
I decided that I really only had time for my problem and my family.
我決定把我僅有時間用于我的課題和我的家庭。
So I'd found this wonderful counting mechanism
因此我找到了這個很棒的計數機理，
and I started thinking about this concrete problem in terms of Iwasawa theory.
并開始從伊娃沙娃理論的角度來考慮這個具體問題。
Iwasawa theory was the subject I'd studied as a graduate student
伊娃沙娃理論是我做為研究生時的課題，
and in fact with my advisor, John Coates, I'd used it to analyse elliptic curves.
實際上我正要和我的導師約翰·科茨來將其用在分析橢圓曲線上。
