Chapter 423: Final paper

Chapter 423
Cambridge University, this is a school that is not inferior to MIT in terms of overall strength of the school or in the ranking of single subjects in mathematics.
According to the 2021 QS World University Rankings for Mathematics, Cambridge University ranks second.
The Massachusetts Institute of Technology ranked third.
Professor Hans from the University of Cambridge, Professor Fresnel does not know this person, but it is certainly not an ordinary person to be eligible to be invited by Professor Maas to this dinner.
Moreover, the information of all the faculty and staff of the University of Cambridge is publicly available on the Internet, and as soon as you check, there is no need for this person to cheat.
Since there is an idea to let Cheng Nuo not be 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 his mind, he still needs to consider Cheng Nuo's opinion in the end.
Go to Cambridge University as an exchange student?
Cheng Nuo touched his chin, pondered for a while, and finally nodded slowly, "I have no objection!"
A touch of joy appeared on Professor Hans's face.
He shook Cheng Nuo's hand abruptly and said kindly, "Cheng Nuo, I represent our school, and you are welcome to come and communicate."
When Cheng Nuo, a talented and hardworking student, came to their school, it might 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 concerning the exchange students. Our school will also send an outstanding graduate student to exchange with Cheng Nuo. "
Professor Fresnel nodded,
Should the exchange time be set for the next semester? I’m afraid it’s too late and Cheng Nuo will no longer have the need to go to Cambridge to communicate.

Hans was stunned for a moment, then suddenly. He shrugged and smiled, "No problem. I hope to see Cheng Nuo in the Cambridge University class next year."
"I also look forward to the arrival of exchange students from your school." Fresnel smiled lightly.
The two raised their wine glasses and touched them and smiled at each other.
…………
After Christmas, Cheng Nuo's days returned to normal.
It is the second half of the semester for exchange students to go to Cambridge University, and Cheng Nuo still has some time to prepare.
Just after finishing a "big" project, and in addition to Cheng Nuo's not long stay at MIT, Professor Fresnel did not arrange a new project for Cheng Nuo.
Therefore, Cheng Nuo's daily routine is to come to the office slowly at work time to help the other assistants answer small questions. After seeing that no one is asking for help, he slips to the school library to eat books.
In the last research topic, under the high pressure, although physically and mentally exhausted, Cheng Nuo's gain is undoubtedly quite huge.
Taking advantage of this free time, Cheng Nuo was able to absorb and consolidate again.
Anyway, there is Professor Fresnel around, and sometimes you can ask for some questions you don't understand.
And Professor Fresnel, because Cheng Nuo was about to leave him for half a semester, naturally knew everything he could say.
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 done by the teacher alone.
The format of the final exam is determined by the instructor.
There are roughly two types: classroom tests and final essays.
The basic mathematics direction chosen by Cheng Nuo does not have any required courses, but there are still credit requirements. At the beginning, Cheng Nuo directly chose half of the credits required for postgraduate courses.
Counting down, there are ten courses.
Although there are many courses, I just have to go to a few sessions.
He also didn't have time. Since the beginning of school in September, he has been wandering between topics one after another, and he also took time to make a trip to the International Congress of Mathematicians.
Even Cheng Nuo doesn't know which professor is the teacher of which course.
Fortunately, the instructor would not care about these.
Massachusetts Institute of Technology is a fairly free school. It will not force you to hold you in your seat to listen to classes, but will submit an application for withdrawal when you fail in many subjects.
Of the ten courses, three are in-class tests during the last week of the course, and the final essay is required for the other seven courses.
Compared to the final essay, Cheng Nuo still prefers the form of examination.
why?
Are that seven papers? !
Although it is only a final paper, the quality requirement is not as high as that of SCI papers, but with such a large number, there are hard and fast rules on the number of words, which makes Cheng Nuo a headache.
In the library, Cheng Nuo was sitting by the window, looking at the brand-new "Algebra of Group Theory", writing and painting on the paper on the side.
This book is one of the ten courses he took this semester. In Cheng Nuo's impression, it seems that he showed his face in one class and was absent from the remaining dozen classes.
But this is not at the undergraduate level, nor is it an exaggeration. There is no need for Cheng Nuo to listen to this kind of course.
Perhaps it would be okay to have him stand on the podium and give a lecture.
Just a simple final paper, Cheng Nuo, with the current level of mathematics, can naturally finish one in one day.
But the paper written in this way has no soul!
Unless there is really no time, Cheng Nuo won't do this, but now, Cheng Nuo, who doesn't have any topics, can say that he has plenty of time.
So ~EbookFREE.me~ Cheng Nuo came to the quiet place of the library and started her own work.
"Group Theory Algebra" is a course in algebra. Cheng Nuo first used more than an hour to sort out more than 100 pages of textbook from beginning to end, and write down important knowledge points. After pondering for a while, he chose An entry point is used as the topic of the final paper: "The Universal Enveloping Algebra of τ-Lie Algebra and Its PB Theorem".
To determine the theme of the thesis, Cheng Nuo first calculated it on the draft paper, then turned on the laptop, crackling the keyboard.
In the thesis, Cheng Nuo discussed a class of generalized Lie algebras as generalizations of Lie algebra, Lie superalgebra and ε Lie algebra: τ-Lie algebra and universal envelope algebra U on τ-Lie algebra L.
And in order to further explain the structure of U, the graded associative algebra G related to U and the graded associative algebra on L are defined: τ-symmetric algebra S, and by constructing a representation ψ of τ- Lie algebra L, the The PB theorem, an important result of the universal envelope algebra of algebra, is extended to τ-Lie algebra, and the PB theorem of τ-Lie algebra is obtained: the graded associative algebra G and S are isomorphic.
The algebra problem that Cheng Nuo discussed was not a cliche, but a research content determined based on the latest trends in the subject after hearing the conversations of several bigwigs after the dinner.