几个要点（仅供参考，以原版为准）。
· 具体谈到被广泛报道的2012年7月三日的突破，张解释说
他意识到问题可以被归结为几个情形（cases）。
这几种情形他都可以解决，而且其中有一个情形很“简单”容易解决。
但这并不完全正确。那个最简单的情形后来成为了最复杂棘手的情形。
正是在这里用到Weil 猜想 。但是他很快地学习了相关的理论并成功地
补上这段推理论证。
『代数几何中的Weil 猜想占据代数几何的核心多年
Grothendieck 发明了他的代数几何抽象理论并指出了Weil 猜想的大致解法。
他的学生Deligne用其理论和思路解决了Weil 猜想。
（Grothendieck获1966年菲尔兹。Deligne获1978年菲尔兹。）』
这成为丘成桐所说的“抽象方法的力量”的一个经典范例。
（解决Mordell猜想的Faltings（1986菲尔兹）也是学习Grothendieck的大师, btw。）
· 他从大学老师潘成彪那里学到了解析数论的基本技术（learnt basic techniques in analytic number theory）。
这对他在孪生素数问题上工作是关键性的。
他从他的博士导师莫宗坚那里学会了代数几何中精确计算（learned to do explicit computation in algebraic geometry）。
·他年轻时视高斯为数学英雄，后来他没有数学英雄。他觉得他可以与他们做得一样好。但他很欣赏两个人：
Andrew Wiles and Grigori Perelman。
（When asked if he had any mathematics hero, he said that when he was young, Gauss was his hero, but later he had none and felt that he was as good as great mathematicians (he can do as well as them). But he admired two people Andrew Wiles and Grigori Perelman.）
·他在做另一个大问题 并已取得实质性的进展（He is now working on another big problem, the Siegel zero problem and is making substantial progress）。
· 他10岁时读过10万个为什么。第八卷是关于数学的。他读了其中的“歌德巴赫猜想”和“黎曼假设”，但书中未提到
“孪生素数猜想”。
· 他15岁随父母去湖北农村。自己读了夏道行写的书“π和e”，这本书可能还在。他一直在困惑为什么π和e会是无理数。
e比较容易理解，但π更难理解，读了华罗庚的《数论导引》后才理解得好点。
·“唐”是他母亲的姓，也是中国人“唐人”的意思。“益”也是“Number 1”的意思。名字是他的祖父取的。他祖父是教师
写得一手好字（？）（This name was picked by his grand father, who was a school teacher and wrote beautiful words.）。
·他考了两次大学，第一次没考好，第二次考得非常好。
-------------------------- 季理真原文-----------------------------------------------------------------------------
张益唐在台北接受季理真和翁秉仁采访
by 季理真
A summary of interview with Zhang Yitang by Lizhen Ji and Ping-Zen Ong
in Taipei, in the evening of July 13, 2013.
A detailed (Chinese) version transcribing the 2 hour interview will appear later.
This is the first face-to-face interview with Zhang by mathematicians.
1. Right after the big typhoon, we (Ji and Ong) interviewed him at the math dept of Tai Da.
2. About His name. Tang is his mother's last name, it also means the whole Chinese people as in Tang people. Yi also means "Number 1". This name was picked by his grand father, who was a school teacher and wrote beautiful words.
3. at the age of 10, he read the popular book series "1000 why" (10个 万 为什么 ). volume 8 deals with math. He read "Goldbach conjecture" and "Riemann hypothesis" in this volume, but "Twin prime conjecture" was not mentioned there.
4. He did not get normal education (middle or high school education), and at the age of 15, he went to the countryside with his parents to Hubei. He read a book by Xia Daoxing called "\pi and e", which inspired him. He might still have this book. He was intrigued why \pi and e are irrational numbers. He could easily understand about e, but it was more difficult about \pi. Then later he read a book by Hua "Introduction to Number theory" and understood better. His pure interest motivated him to study mathematics on his own.
5. He took the entrance exam to university twice. He did not do so well at the first time, but did very well the second time. He was very happy that he did well in Chinese. When he entered college, he decided to study mathematics. His interest has always been interested in number theory. His reason is that in number theory, problems are simple to state, but it is often difficult to solve. He also emphasized that he was not encouraged by the success of Chen Jinrun, especially the report about Chen around 1978. In 1973 at the age of 18, before he learned calculus, he read the paper of Chen Jinrun without fully understanding it.
6. When asked if he had any mathematics hero, he said that when he was young, Gauss was his hero, but later he had none and felt that he was as good as great mathematicians (he can do as well as them). But he admired two people Andrew Wiles and Grigori Perelman.
7. In his work on the twin prime numbers, people all read that he had a breakthrough on July 3, 2012. The big idea he got on July 3 last year was that he realized that the problem could be reduced to several cases. He felt that he could handle them, especially one case was simple to be proved. But he was not completely right. The simplest case turned out to the most complicated. This is the place where the Weil conjecture was used. But he quickly learned the relevant theories and patched up the arguments. He is very happy with this.
8. He learnt basic techniques in analytic number theory from his teacher Pan at Bei Da. This has been crucial to his work on the twin prime problem, From his Ph. D. adviser Mu, he also learned to do explicit computation in algebraic geometry.
9. Zhang emphasized that it is important to learn new things, a broad vision, a high goal, and combine various things. During the 8 year period from getting Ph.D. degree until he worked at University of New Hampshire, he tried to read and learnt many new things. Though he was busy with work (he worked for his friend, who had several business), he can always find time to do mathematics. Thought he did not have access to a math library, he made copies of things he needed.
10. He is now working on another big problem, the Siegel zero problem and is making substantial progress. A Siegel zero is a type of potential counterexample to the generalized Riemann hypothesis. It was named after Carl Ludwig Siegel because of his work in 1930s. Its existence or non-existence will have a huge impact on many problems in number theory.
11. Teaching is important for Zhang and he still remembers vividly the effective and inspiring teaching of two excellent teachers in college.He has been thinking about writing a book on analytic number theory.It will not be in the usual format "Definition, Theorem, Lemma, Proposition ..." Instead he will explain how problems arise, why we should consider them, the essential points ..., i.e., emphasizing the more global picture side. For example, he does not agree with some people who plan to read his paper on twin primes line by line to fully understand it (or all the details).
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发表于 2013-7-19 16:13:02
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