Chapter 420

Chapter 423

Cambridge University is not inferior to MIT in terms of the overall strength of the University and the ranking of mathematics majors.

According to the QS World University Mathematics rankings in 2021, Cambridge University ranks second.

MIT came in third.

Professor Hans from Cambridge University, Professor Fresnel does not know this person, but it is certainly unusual for him to be invited to the dinner party by Professor Maas.

What's more, all the information of the faculty and staff of Cambridge University is made public on the Internet. It is easy to find out that this person has no need to cheat.

Since Cheng Nuo is not limited to one place and study in another place, Cambridge University in Yingguo is undoubtedly a good choice.

"Cheng Nuo, what do you think?"

Although Professor Fresnel has this idea in mind, he still needs to consider Cheng Nuo's opinion in the end.

To Cambridge University as an exchange student?

Cheng Nuo touched his chin, pondered for a while, and finally nodded slowly, "I don't mind!"

There was a glow on Professor Hans's face.

He suddenly grasped Cheng Nuo's hand and said kindly, "classmate Cheng Nuo, on behalf of our school, you are welcome to exchange views."

When Cheng Nuo, a gifted and diligent student, comes to his school, he may bring a lot of new atmosphere.

Professor Hans said to Professor Fresnel, "Mr. Fresnel, I will contact the school immediately to determine the specific matters about exchange students. Our school will also send an excellent graduate student to exchange with Cheng Nuo."

Professor Fresnel nodded, "set the exchange time for next semester? I'm afraid it will be too late for Cheng Nuo to go to Cambridge for exchange

Hans was stunned for a moment, then suddenly. He shrugged and laughed, "no problem. I hope to see Cheng Nuo in the class of Cambridge University next year

"I'm looking forward to your exchange students." Fresnel smiles indifferently.

The two raised their glasses, touched each other and laughed at each other.

…………

After Christmas, Chenault's days returned to normal.

It's the second half of the semester for exchange students to go to Cambridge University. Cheng still has some time to prepare.

Just after finishing a "big" project, and Cheng's stay at MIT was not long, Professor Fresnel did not arrange a new project for Cheng Nuo.

So every day, Cheng Nuo came to the office slowly at work time and helped other assistants solve some small problems. Seeing that no one asked for his help, he slipped to the school library to eat books.

The last research topic, under that kind of high pressure, although both physical and mental fatigue, but Cheng Nuo's harvest is undoubtedly quite huge.

Taking advantage of this free time, Cheng Nuo can absorb and consolidate again.

Anyway, there is Professor Fresnel around, and sometimes some questions you don't understand can be consulted at any time.

And Professor Fresnel, because Cheng Nuo is about to leave half a semester, naturally he knows everything and says everything.

In this way, Cheng Nuo felt that his mathematics level was improving at a speed visible to the naked eye.

…………

For graduate students at MIT, there is no final exam, but a final exam. The difference between the two is that one is officially approved by the school, and the other is conducted by teachers alone.

The form of the final exam is decided by the teacher.

It can be divided into two types: classroom test and final paper.

Cheng Nuo chose the basic mathematics direction, but there were no compulsory courses, but there were still credit requirements. At the beginning, Cheng Nuo directly chose the course with half of the credits required in the postgraduate stage.

There are ten courses.

Although there are many courses, Cheng Nuo didn't go to a few classes.

He also has no time. Since the beginning of school in September, he has been wandering among topics, and he has also taken time to go to the International Conference of mathematicians.

As a result, which course teacher is which Professor, Cheng Nuo does not know.

But fortunately, teachers don't care.

MIT is a very liberal school. It won't force you to sit in your seat. It will just hand in an application to drop out when you fail in many subjects.

Ten courses, three of which are in the last week of the course, will be tested in class, and the other seven courses will need to submit their final papers.

Compared with the final paper, Cheng Nuo still prefers the form of examination.

Why?

That's seven papers?!

Although it is only a final paper, the quality requirements are not as high as SCI papers, but there are so many quantity and rigid rules on the number of words, which makes Cheng Nuo a headache.

In the library, Cheng Nuo sat by the window and looked through the brand-new algebra of group theory. He wrote and drew something on the paper beside him.This book is one of the ten courses he has taken this semester. In Cheng Nuo's impression, it seems that he showed his face in one class, and all the remaining ten classes were absent.

But this is not undergraduate stage, not exaggeration, this kind of course, Cheng Nuo has no need to listen to.

Maybe it's OK to ask him to stand on the platform.

Just a simple paper, Cheng Nuo with the current level of mathematics, nature can be big water special water, with the speed of a day to complete one.

But this kind of writing has no soul!

Chengnuo will not do this unless he really has no time. But now, without any subject in his body, Cheng Nuo has a lot of time.

Therefore, Cheng Nuo came to the quiet place of the library and began his own work.

"Group theory algebra" is a course of algebra. Cheng Nuo first used more than an hour to sort out more than 100 pages of textbooks from the beginning to the end, wrote down the important knowledge points, and after pondering for a while, he chose a breakthrough point as the topic of his thesis: "the universal envelope algebra of τ - Lie algebra and its pbw theorem".

To determine the theme of the paper, Cheng Nuo first performs the calculation on the draft paper, and then turns on the laptop and clatters on the keyboard.

In this paper, Cheng Nuo discusses a class of generalized Lie algebras, which are generalizations of Lie algebras, Lie superalgebras and ε Lie Algebras: τ - Lie algebras and Universal Enveloping Algebras u on τ - Lie algebras L.

In order to further explain the structure of u, we define the graded associative algebra g related to u and the graded associative algebra S on L: τ - symmetric algebra S. by constructing a representation ψ of τ - Lie algebra L, we extend the important result of the universal envelope algebra of Lie algebras - pbw theorem to τ - Lie algebras Isomorphic.

After the dinner, the old Dai Nuo talked about the latest topics in mathematics.

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