Chapter 479

This sycophancy......

Cheng Nuo held his forehead, helpless.

However, Cheng Nuo soon switched himself back to the role of a mentor.

After a deep sigh, Cheng Nuo opened his mouth and said, "Since you are my students, I naturally won't leave you alone." In the future, no matter what problem you have, you can come to me. The learning aspect, but also the life aspect. ”

"Of course, I also hope that you will live up to my training for you. ”

Cheng Nuo's voice became serious, "My minimum requirements for you, in the first year, you need to complete the writing of your doctoral dissertation, and I will let you choose the remaining two years." ”

"I know a lot of famous mathematicians abroad, and I can recommend you to work under them, or, alternatively, work under me. ”

One year to complete the doctoral dissertation!

This requirement can be said to be quite harsh.

You know, this is a doctoral dissertation, not an undergraduate dissertation that can be passed with water.

Sweeping the frowning brows of the two, Cheng Nuo smiled slightly, "Not sure?"

Zhang Minghua's face hesitated, and finally gritted his teeth and said fiercely, "Yes!"

Fan Yi also nodded heavily beside him.

Both of them are not bad at mathematics, otherwise they would not stand out among more than 100 people and be selected by Cheng Nuo.

In the eyes of ordinary people, the two of them can already be said to be geniuses among geniuses.

In Cheng Nuo's view, completing a doctoral dissertation in one year is not a problem for his two students.

The key is whether you are willing to keep pushing your limits and are willing to fight.

Compared with foreign countries, the domestic scientific research environment is still too comfortable, that is, there is less hard work.

Zhang Minghua and Fan Yi are not weak, and they are even better than most doctoral students at MIT.

What most of MIT's PhD students can do, so can the two of them.

Moreover, there is its own assistance.

Cheng Nuo can't change the entire domestic scientific research environment, but Cheng Nuo can still do it by changing the people around him.

The first meeting came to an end after eating and drinking.

Cheng Nuo didn't give much guidance on the topic of the two graduation theses, but just said that he would study the direction he was most interested in.

It is just to let the two of them decide on the topic and let him know.

............

September, October, November.

In the past three months, Cheng Nuo has rarely even stepped out of Tsinghua University.

Apartment buildings, research institutes, restaurants, three points and one line, Cheng Nuo devoted almost all of his energy to the study of the BSD conjecture.

Just yesterday, Senior Brother Zhang Wei had already sent the derivation of the first stage, that is, the elliptic curve part, to Cheng Nuo's mailbox.

Cheng Nuo took a serious look at it.

The final result of the derivation was similar to what Cheng Nuo expected.

But there is still a short way to go with the desired result.

However, this is also the limit of what Senior Brother Zhang Wei can do at this stage.

The small step behind is like a moat, and it is difficult to move forward a little.

The reason for this is considerable.

Because, in the existing system of mathematical theories, there is no axiom that can take this small step.

It's like the banks of a river.

From one bank to the other, although the straight-line distance is very short, there is a river in between, and if you want to go over, you only have to find the end of the river and go around it.

Historically, many mathematicians have tried to do this, but they have walked for a long time and have not reached the end of the river.

Cheng Nuo didn't want to do that.

It's plain to say that even if he could find the end of the river, it wouldn't be a long detour.

Compared with bypassing, Cheng Nuo is more accustomed to another simple and crude plan: building bridges!

The deduction theorem made by Cheng Nuo is a process of building bridges.

Once the bridge is erected, the last short distance can be easily completed.

And now, Cheng Nuo has built that bridge!

In the office, Cheng Nuo stretched his body and looked at a few lines of formulas on the screen, feeling extremely comfortable.

"Finally, let me get it out!"

If it weren't for the fear of affecting other people in the institute, Cheng Nuo really wanted to let out a long howl now.

For three months, Cheng Nuo spent three full months for this theorem!

During this period, Cheng Nuo revised the draft many times, and the number of forks in the road was no less than ten times, stumbling along the way, so that Cheng Nuo almost gave up directly.

Cheng Nuo also experienced a rare feeling of running out of inspiration.

But now, it's all in the past.

The bridge was erected by Cheng Nuo, and all the efforts before that were worth it.

Cheng Nuo called Zhang Wei directly, "Senior brother, I have already deduced the theorem, come to my office." ”

"Okay, I'm right on the other side of the Shuyuan Building, I'll be there in five minutes. After Zhang Wei on the other side heard the news, his tone was also extremely excited.

Five minutes later, Zhang Wei arrived in a hurry.

He didn't even have time to drink the water, so he hurriedly asked Cheng Nuo, "What about the new theorem?"

Cheng Nuo smiled and handed over a piece of A4 paper.

Zhang Wei took it and looked down.

[The elliptic curve on the logarithmic field K, the torus (R/Z)^2 has a natural Abel group structure, if the elliptic curve is δ embedded in the projective plane, the elliptic curve conforms to the following geometric theorem:

(1): The intersection point O of the δ and the infinite line is the Abel zero;

(2): for R=(x,y),-R=(x,y);

(3): For P, Q, the straight line of P, Q intersects with δ at the third point P, then P+Q=-R

............】

After Zhang Wei read it carefully, he raised his head and looked at Cheng Nuo with a look of horror.

"This, this theorem ......"

Zhang Wei now has the feeling that someone will send a pillow as soon as he dozes off.

Cheng Nuo's new theorem, and what they are studying, couldn't be more suitable.

Like charcoal in the snow, the dead road that was originally blocked in front of it suddenly became clear.

On the one hand, Zhang Wei was happy at the same time, but also surprised.

At the beginning, although Cheng Nuo patted his chest and promised that he would definitely deduce a new theorem within three months.

But as time passed, Zhang Wei's understanding of the BSD conjecture gradually increased, and he also realized how difficult Cheng Nuo's task really was.

Zhang Wei had long been prepared for the failure of this project.

But unexpectedly, for this seemingly impossible task, Cheng Nuo handed over a new theorem to him within three months, as he said.

And this new theorem also has quite high academic significance.

To put it simply, even if you don't consider the BSD conjecture, just take out the new theorem derived by Cheng Nuo, at least it is at the level of the second-echelon mathematical theorem.

It was rumored that Cheng Nuo was evil, but Zhang Wei did not feel it personally.

But now, Zhang Wei finally realized what a terrifying guy this young man sitting in front of him was!