universal data

Chapter 344 Graduation Thesis
347 chapter

"Inventiones mathematicae" and "Annals of Mathematics" are the two top journals in the field of mathematics, known as "Nature" and "Science" in the field of mathematics.

Both belong to the journals of the first district, and the impact factors are above 10.

Although there is still some gap with the more than 40 impact factors of "Nature" and "Science", it is already the two highest journals in the mathematics field.

Naturally, the higher the impact factor, the more difficult it is for the submitted journal to be included.

Most of the papers that can be published in "Inventiones mathematicae" are world-renowned mathematics masters.

Even Professor Fang, a top mathematician in the field of applied mathematics in China, has never published a paper in the two journals.

However, the reason why Professor Fang decided to submit the proof paper to this journal this time is naturally full of confidence.

As far as the proof process and difficulty of the weak BSD conjecture are concerned, it is absolutely qualified to publish the specific proof process on it.

There is no doubt that the signature of the paper is the joint name of Professor Fang and Cheng Nuo.

Although Professor Fang is not as influential as those top mathematicians, he is still well-known in the world. With Professor Fang's signature, this conjecture will not prove that the paper will directly sink into the sea.

After converting more than 100 pages of papers into PDF format and entering the official website of the journal "Inventiones mathematicae", Professor Fang successfully submitted the paper.

All that remains is to wait for the news.

As short as one or two months, as long as half a year, the journal will reply conveniently.

"Okay, just wait for the news quietly." Professor Fang closed the webpage, took off his reading glasses, turned his head and smiled at Cheng Nuo.

Cheng Nuo let out a breath, "Finally I can rest for a while."

Professor Fang nodded and smiled, "Indeed, you have worked really hard in the past year. How about this, I will give you a month off, and I will arrange a new task for you after one month."

"Is there still a mission?" Cheng Nuo burst into tears.

"At your age, you are in the stage of frantically acquiring knowledge. You can relax a bit, but if you continue to relax, you will waste all your talent!" Professor Fang said with a smile.

Cheng Nuo nodded resignedly, "Okay. Professor, can you tell me what my new mission is?"

Professor Fang coughed dryly, "I haven't figured it out yet."

Cheng Nuo: "Uh..."

Professor Fang waved his hand, "Anyway, you just won't be idle."

"You are in the United States these few days, and you are sorting out papers. You should be tired. Go back and rest. I will contact you when there is news about the new task."

"That's fine." Cheng Nuo nodded.

…………

In a blink of an eye, half a month passed.

After a month of adjustments, Cheng Nuo also recovered from his previous busy state.

Work and rest normally every day, go to bed early and get up early, spend daily life on campus, and live a leisurely life.

Apart from studies, without the constraints of other jobs, I can control my time freely, which is really beautiful!

In early March, the weather turned from cold to cooler.

Cheng Nuo sat in a corner of the library, resting his chin and thinking.

And the content of thinking is about his graduation thesis.

According to Professor Fang's arrangement, this semester, he will finish all the undergraduate courses, but like most seniors, he will get a degree certificate in mathematics.

The graduation thesis and graduation defense were the hurdles that Cheng Nuo had to face before graduation.

Originally, for Tsinghua students, passing the graduation defense before graduation was not such a difficult task.Every year, the students in the school who fail to pass the graduation defense and fail to obtain a degree certificate can definitely count them on both hands.

Therefore, it can be explained that the standard for graduation defense will not be too strict.

However, that is for fresh graduates.

Cheng Nuo was a genius who shortened the four-year course to two years, so the standard would naturally be different.

Professor Fang had already checked with Cheng Nuo in advance, and said that if he wanted to pass the graduation defense smoothly, it was best to prepare a graduation thesis that was comparable to his own mathematics level. Otherwise, the teachers in the defense team might not be able to do so. It was easy for Cheng Nuo to get his diploma.

This made Cheng Nuo have a toothache!
Papers that are at the same level as your own mathematics?

Cheng Nuo asked Professor Fang about the subtext of this sentence.

Professor Fang told Cheng Nuo that, to put it simply, the college hopes that Cheng Nuo can prepare a graduation thesis that is eligible to be included in the bottom-level SCI journals in the first district.

hiss--

Cheng Nuo gasped.

I... am I so powerful?
That is a paper in a SCI journal in the first district. Although it is only those SCI journals with lower rankings, the impact factor also has five or six points.

Even some professor-level figures in Huaguo universities can't say that they can write a paper on the first district casually.

Other students may get high marks for a paper at the level of domestic core journals, and full marks for papers in SCI journals in the second and third districts. qualifications.

Alas, it's hard to be a genius these days!
It seems that it has become unrealistic to just write a second or third district level SCI paper and fish in troubled waters to pass the graduation defense.

In this way, we can only be positive.

That's why Cheng Nuo stayed in the library thinking about the content of his graduation thesis.

On his desk, there is a large stack of books.

"Functional Analysis", "Methods of Mathematical Physics", "Summary of Modern Number Theory"...

Cheng Nuo's eyes were empty and lifeless, and he seemed to be wandering away, but his mind was running at high speed non-stop.

There are many theories in my mind that can be considered as a thesis, but in terms of academic value, they are not very high, far from reaching the level required by Cheng Nuo.

Space theory of functional equations?
no.The knowledge in this area is too simple, and it is difficult to have any profound insights.

What about nonlinear evolution equations and infinite-dimensional dynamical systems?
This doesn't work either. Partial differential equations are not yet a field of deep research.

…………

Cheng Nuo, who was full of thoughts, opened his eyes helplessly, and he sighed.

Still have no idea?
He twisted his neck, picked up the "Review of Modern Number Theory" on the table, and turned to a page casually.

Title of the page: Bertrand Hypothesis.

Cheng Nuo glanced over from the beginning.

Bertrand assumes that its content is: for any natural number n ≥ 2, there exists at least one prime number p such that n < p < 2n.

It was proposed as a hypothesis in 1845 by the French mathematician Joseph Bertrand. Bertrand verified the situation within 3000000. In 1850, the Russian mathematician Pafnuty Chebyshev (1821 - 1894) gave the first rigorous proof of this hypothesis.Therefore Bertrand's hypothesis is sometimes called Chebyshev's theorem.

It took Cheng Nuo two hours to read the detailed proof process given by Chebyshev, and then frowned tightly.

It's complicated, it's too complicated!

Cheng Nuo couldn't find any other comments on Chebyshev's proof process except for the word "complex".

Looking at the piles of formulaic characters, Cheng Nuo, who was used to it for a long time, felt his scalp tingling.

Just when Cheng Nuo gathered his thoughts and was about to turn the page, the movements in his hands suddenly stopped, and something seemed to come to his mind...

(End of this chapter)