I Just Want to Be a Quiet Top Student

Lu Guozhen gave Shen Qi a few pieces of paper, which were crumpled and tattered, and had the attributes of archaeological cultural relics without any special treatment.

There are two kinds of handwriting on the paper, one is particularly sloppy handwriting, the ugly handwriting looks like a dog has chewed it.

Another kind of handwriting is written in block letters, which is strong and powerful. Shen Qi can recognize this kind of handwriting. Lu Guozhen's handwriting is beautiful.

Dog chewing characters occupy most of the space. The writer discusses an algorithm in mathematical language. Although the logic is confusing, Shen Qi roughly understands it, that is, a bounded algorithm based on Fourier multipliers and Fourier integral operators. Reconcile and analyze problems.

The handwriting was ugly, and the logic of the language was confusing. Most people could not understand the original intention of the writer. The reason why Shen Qi could understand it was firstly because of his excellent mathematical comprehension ability, and secondly, Lu Guozhen's annotations played a key role.

Lu Guozhen marked an X with a red pen on a certain page, and the text annotation read: "Wrong use of Lebesgue space theory, correct it!"

Lebesgue is the well-known Lebesgue. When writing papers, we quote the names of people or theorems and formulas named after people. We usually write the English names of these mathematicians. This is also done in the Chinese version of the paper.

On another page, Lu Guozhen drew a strikethrough and commented: "Here we need to use the complex-valued rapid drop of the Schwartz function space, change it!"

There are twelve similar comments, and the conclusion is that the writer was criticized by Lu Guozhen as useless.

Shen Qi learned from Lu Guozhen that the writer of the dog chewing characters was a graduate student. He studied at the School of Mathematics and Computer Science of Wanzhou Normal University as an undergraduate. topic.

After working with Lu Guozhen for less than half a year, the graduate student changed his major and went to the School of Environmental Science and Engineering.

These few pages have become a legacy project, and Shen Qi has to continue to complete the next work and finish this project.

The workload was heavy, and Lu Guozhen basically denied all the arguments of the postgraduate fellows, and Shen Qi was equivalent to writing a new thesis.

Lu Guozhen took the title of a thesis topic called "Analysis of Strong Singular Integral Operators Along Homogeneous Curves"

Shen Qi can adjust the title of the thesis according to his own actual discussion, which is what Lu Guozhen said.

But the scope of discussion should not change too much. The main problem to be solved is the boundedness of singular integral operators in the generalized amplitude modulation space.

Lu Guozhen's twelve comments became Shen Qi's only valuable clues. He will expand and extend around the central idea of ​​the project, and strive to write a high-quality mathematics paper. After completing this project, he will get 15 points ahead of time. credit.

"This subject is very challenging."

Shen Qi brought a few pages back to the dormitory, and after his refinement, they were finally condensed into half a page.

This half page is the core logic of Shen Qi's new thesis, only he can understand it, and write it in his notebook.

The topic given by Lu Guozhen can indeed be classified into the category of mathematical analysis, but the analysis method will be particularly complicated.

A few months ago, Sun Erxiong actually gave Shen Qi five topics, based on the five thesis topics transformed from the 36 questions of Gaodai.

Shen Qi compared that the "Analysis of Strong Singular Integral Operators Along Homogeneous Curves" given by Professor Lu was more difficult than the most difficult subject given by Professor Sun.

Rise to the challenge!

Shen Qi started looking for information, and before writing this new paper, he needed to do a lot of preparation.

The source of the data is SCI and arXiv. The more in-depth the research of the subject, the more international the researchers are, and the more difficult it is to find valuable Chinese materials. More than 90% of Shen Qi’s materials are in English.

In order to better integrate into the process of globalization, Shen Qi upgraded his English to level 4.

Math Level 7 (288/250,000)

Physics Level 5 (40/50,000)

Physical Education Level 4 (18/10000)

English Level 4 (0/10000)

Chinese Level 3 (298/5000)

Chemistry Level 3 (104/5000)

Biology Level 3 (101/5000)

History Level 2 (111/3000)

Geography Level 2 (219/3000)

Politics Level 2 (498/3000)

Balance of Xueba points: 90789 points

Upgrading English to level 4 only cost more than 4,000 Xueba points, which is a very small investment.

The big head is still mathematics, upgraded to the elite level of level 8, and the investment amount is as high as 250,000 Xueba points.

"It's still close to 160,000 Xueba points. Where can I get it? Speaking of the five papers that have been sent out, can I earn enough 160,000 Xueba points?"

Based on his experience, Shen Qi knew that he could only receive the Xueba points rewarded by the system after the paper was officially published.

Just wait, what can I do.

But one thing is for sure, the higher the quality of the paper, the more powerful the journals published, the more prominent the achievements, and the more points you will get as a top student.

The number of papers written, or the quality of papers?

This is a problem.

The best way to achieve the best of both worlds is to publish a large number of high-quality papers. In the first quarter, three or five papers will be published in Ann-Math (Annual Journal of Mathematics), and in the second quarter, seven or eight papers will be published in Acta-Math (Journal of Mathematics). Move to Inv-Math (mathematical invention) and JAMS (Journal of the American Mathematical Society) every quarter, and guarantee the publication of dozens of papers in the four major international mathematics journals every year, which requires millions or even millions of Scholar points Annual income?

Work hard towards this goal, boy!

Shen Qi set a small goal, and then went into battle.

First complete the scoring task given by Professor Lu.

Collection of reference materials is a rather time-consuming task, and the collection path reflects the core thinking of a paper author.

Casting nets everywhere, downloading what you see, shows that the author of the paper is blinded, and he doesn't have a clear direction.

No matter, let’s write first, wherever you write, you have a Mac in your left hand, a Pad in your right hand, and a wifi under your feet. You can check information while writing a thesis. This is a very amateurish approach. It looks like a busy dog, but it is actually inefficient.

Shen Qi is a professional-level person with level 7 mathematics. He can't be such an amateur. His direction is very clear. There are three key words, strong singular integral, amplitude modulation space, and homogeneous curve. It is right to search for information in these directions.

After determining the direction of reference collection, the rest is a matter of time.

"J.K. Falls, who is this guy? Oh, from Princeton, his doctoral dissertation is not bad, keep it."

"T.Nakata, this is a devil, from the University of Tokyo. There is only one formula that works in the whole paper. Save it first. Then I can directly quote this formula and prove it myself. It will take at least a month."

"Gong, C.W., this is my direct senior brother, from MIT, that's right, it's my senior brother Gong Changwei, this paper...let's save it first, Senior Brother Gong's main focus is number theory, please save it, maybe you can use it later. "

"S.W. Hawking, University of Cambridge, the author of this paper is... Stephen Hawking!"

Shen Qi searched and searched, and found a mathematics paper written by Hawking.

Hawking is a physicist as well as a mathematician. This mathematical paper he wrote was included in the "British Mathematical Digest" in 1987, the year before the publication of "A Brief History of Time".

During that time, Hawking could barely move his two fingers, and he relied on a speech synthesizer to communicate with his assistant.

Hawking's assistant is a learned man and knows Hawking well.

After Hawking's illness, the drafting of papers and popular science books was mainly done by assistants. Hawking provided the core ideas and passed them to academic assistants through a speech synthesizer. There may be more than one assistant, or a team.

"The translation of this mathematical paper written by Hawking into Chinese should be the boundedness of the commutator of the Rees potential operator related to the Schrödinger operator? The boss is indeed a boss, and the title of the paper is so complicated that it is suffocating." .”

Shen Qi collected Hawking's mathematics paper. Hawking's mathematical foundation is also solid. To describe the universe, describe time, and describe physics, the only tool is mathematics.

Not a friendly collection, Shen Qi keenly discovered that Hawking published this mathematical paper based on the Schrödinger operator and the Ries potential operator in 1987. At least one of the proofs can be cited in his new paper.

Shen Qi understood Hawking's proof and burned many brain cells to death.

Shen Qi couldn't understand the remaining one important proof and one core formula.

If you don't understand it, you can't quote it, otherwise it will be ridiculous.

This also verifies Mr. Qiu Chengtong's point of view: "Good mathematics papers must be rarely cited, because most people can't understand them. Therefore, the IF of mathematics journals is generally low."

In any case, Shen Qi at least understood one of Stephen Hawking's mathematical proofs at his academic peak, and his comprehension ability was stronger than most of his peers.

Good papers are inseparable from good citations, good citations need to rely on strength to understand and use for me, Shen Qi draws the key point, a mathematical proof of Hawking, cite it.