Shen Qi of Aquarius is about to turn 23 years old, and the National Medal of Honor is the best birthday gift he has ever received.

Shen Qi's reputation in China has reached a new height, and a young scientist like him who is a national treasure can almost walk sideways in China.

Shen Qi, who had planned to stay in China for a week, changed his plans and returned home for the New Year, spending a month in China before returning to Princeton at the end of January.

It is better to travel all over the world, or the motherland.

In the United States, Shen Qi cares about the motherland.

Staying in Princeton can naturally enjoy some unique advantages, what Shen Qi can do is to make full use of these advantageous resources, constantly strengthen himself, enrich himself, and make great achievements after returning to China.

This year is Shen Qi's third year in the United States.

Ou Ye and Zhou Yu'an have entered the third semester of studying in the United States, and the two of them are expected to enter the doctoral stage after this semester.

Shen Qi ushered in his first batch of graduate students, a total of two students, one Chinese and one American.

The Chinese student is really handsome, his name is Yu Lei, he has won the IMO gold medal, and studied in the Department of Mathematics of Mizuki University as an undergraduate.

"Yu Lei, you are finally here. Shen Qi was very pleased.

"Little Brother Qi, oh no, Professor Shen!" Yu Lei is full of vitality and is a sunny boy full of vitality.

"Being my student, there is no psychological burden, right?" Shen Qi asked tentatively.

"Of course there is!" Yu Lei covered his heart with both hands, making a small heart pounding.

"Yes, what kind of psychological burden?" Shen Qi needed to understand the student's psychological condition at the first time.

"My mentor is a big man of the Philippine Award, I must be under pressure, I have to show excellent grades to prove myself, and the most important thing is that I can't embarrass Professor Shen. "Yu Lei is very upright, handsome and sensible.

"Oh, the pressure on that, it doesn't matter, step by step, step by step. Shen Qi smiled and praised: "Yu Lei, you are so handsome, it would be good to be a quiet beautiful man in Princeton, Mizuki University is really rich in beautiful men." ”

Yu Lei said firmly: "I prefer to be a quiet scholar." ”

Shen Qile said: "There are ideas, there is a future!"

In a very good mood, Shen Qi invited Yu Lei to dinner as soon as possible and called Zhou Yu'an.

Zhou Yu'an looked at Yu Lei repeatedly, this kid has become a good-looking little fresh meat when he grows up.

After confirming, Zhou Yu'an finally dared to admit him: "Yu Lei, you can obviously eat with your face, what kind of graduate school are you studying?"

"Brother Xiaoyu, can you rely on your face for a lifetime?" Yu Lei shook his head and said: "Only knowledge can maintain its value forever." ”

"Our junior teammate is amazing. Shen Qi had a good impression of Lei, and he suddenly had an impulse to pass on his life's learning to Yu Lei, hoping that someone would inherit the mantle.

What did Shen Qi learn all his life?

What are the characteristics of his genre?

Shen Qi's self-evaluation of the characteristics of his genre is: eclectic, integrated, specialized and broad, criss-crossed.

"Yu Lei, remember no, you repeat the sixteen-character outline of our school. ”

"Eclectic, integrated, specialized, broad, criss-crossed. Brother Qi, do you mean that our school is a math generalist?"

"Theoretically, you and Ralph are among the first graduate students I recruited, and I am optimistic about you both. ”

"Huh, so we're guinea pigs. ”

What is a generalist?

Shen Qi believes that undergraduates are the prototype of generalists, because undergraduates learn everything.

Of course, there are many courses taken at the undergraduate level, but they are also superficial.

Graduate students study one or two directions in depth, and they specialize in specialization, but they are also academically stereotyped.

Ou Ye and Zhou Yu'an are basically finalized, and they must have studied number theory more deeply when they studied for a doctorate, as well as differential geometry + partial differential equations.

Only Yu Lei, a blank sheet of paper that has just graduated from undergraduate, is malleable.

Another blank sheet of paper is that of Ralph Miller, an American student who studied mathematics at Princeton as an undergraduate.

Shen Qi couldn't see Ralph's fist subjects from the report card, and he didn't find any shortcomings.

In the first class, Shen Qi didn't talk about tactics, only strategy.

In order to take care of Ralph, who didn't understand Chinese, Shen Qi spoke English: "Yu Lei, Ralph, I don't force you to choose any major major, auxiliary research and other professional directions, in my school, any research direction can become your main direction." The first thing you have to do is to re-study all the math courses you studied at the undergraduate level, and re-study them in advanced mode, you know what I mean?"

"It's almost impossible to do. "Ralph doesn't like to laugh and is a bit stereotypical.

"Yes, Professor Shen, I also think that it is too difficult to cultivate a generalist in mathematics, and not everyone has the ability to be both specialized and erudite like you. Yu Lei solemnly called Shen Qi "Professor Shen" when he spoke English, and called Shen Qi "Little Brother Qi" when he spoke Chinese.

"I just want to successfully complete my master's studies, and it is clear that it is logical to choose a direction to do a dissertation. Ralph completely disagreed with Shen Qi's setting of cultivating mathematical generalists, and he did not blindly cater to Shen Qi and ignore his soul because Shen Qi was a big man of the Philippine Award.

Ay...... Shen Qi sighed silently, in the first class, his school concept was questioned, and his strategic ideas were not recognized.

Shen Qi, who was originally full of passion, was a little lost at the moment, he finally realized Edward Witten's helplessness, he had no skills, and there was no successor.

"Well, Ralph, I respect your point of view. Shen Qi read Ralph's paper written in his undergraduate years, and he said: "Ralph, the title of the paper you published when you were in your fourth year was "A Study of the Augmented Quotient of Dihedral Groups", which belongs to the category of algebra, and to put it more closely, it is the direction of group theory. ”

"That's right. Ralph nodded.

Shen Qi said: "Your paper is very well written, I have read it roughly. But I would like to point out that proposition 3.1 on page 67 is not rigorous, Sn is not absolutely a linear expansion of Bn on Z, and there is a hole in your generalization of the good order set. ”

"Huh?" Ralph was surprised, he remembered my paper after reading it? Professor Shen's memory is amazing!

Ralph's 82-page essay on group theory as an undergraduate is a huge work for an undergraduate.

Shen Qi can accurately say with his empty hands that you, proposition 3.1 on page 67 of Ralph's paper is not an absolutely correct proposition, and the inductive treatment of the good order set could be more perfect.

Ralph couldn't tell if the inductive treatment of the good order set in that paper was perfect, he needed to find the paper and study it, and he couldn't remember the full text of the paper he wrote by hand.