Lu Guozhen gave Shen Qi a few pieces of paper, which were crumpled and tattered, and they had their own archaeological relics without special treatment.

There are two kinds of handwriting on the paper, one is particularly sloppy, and the words are ugly as if they had been gnawed by a dog.

The other handwriting is written in block letters, strong and powerful, Shen Qi recognizes this kind of handwriting, and Lu Guozhen's handwriting is very beautiful.

The writer discusses an algorithm in mathematical language, although the logic is confusing, but Shen Qi roughly understands the problem of bounded harmonic analysis based on Fourier multipliers and Fourier integral operators.

The characters are ugly, the language logic is chaotic, and ordinary people can't understand the original intention of the writer, the reason why Shen Qi can understand is that he has excellent mathematical comprehension ability, and secondly, Lu Guozhen's annotation plays a key role.

Lu Guozhen typed a × with a red pen on a certain page, and the text annotation was: "Wrong use of Lebesgue space theory, change!"

Lebesgue, known as Lebesgue, cites theorems and formulas named after people when writing papers, and usually writes the English names of these mathematicians, which is also done in the Chinese version of the paper.

On another page, Lu Guozhen drew a strikethrough and annotated: "Here you need to use the complex value of the Schartz function space to speed down, change!"

There are twelve similar annotations, and the summary is that the writer was criticized by Lu Guozhen for nothing.

Shen Qi learned from Lu Guozhen that the writer of the dog gnawing character was a graduate student, who studied at the School of Mathematics and Computer Science of Anhui Normal University as an undergraduate, took the postgraduate examination, and was admitted to the School of Mathematics of Yan University, and followed Lu Guozhen to do the project.

After following 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 pages have become a legacy topic, and Shen Qi will continue to complete the next work and complete this topic.

The workload is very large, and the graduate student's argument is basically completely denied by Lu Guozhen, and Shen Qi is equivalent to writing a new paper.

Lu Guozhen took the title of a dissertation topic, called "Analysis of Strong Singular Integral Operators along Homogeneous Curves"

Shen Qi can appropriately adjust the title of the paper according to his actual exposition, which is what Lu Guozhen said.

However, the scope of the discussion should not change too much, and the main problem to be solved is the boundedness of the singular integral operator in the generalized amplitude modulation space.

Lu Guozhen's twelve annotations have become Shen Qi's only valuable clue, and he will expand and extend the central idea of the topic, and strive to write a high-quality mathematics paper, complete the topic, and get 15 number credits in advance.

"It's a challenging subject. ”

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 Qixin's paper, which only he can understand and write in his notebook.

The topic given by Lu Guozhen can indeed be summarized 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, five thesis topics transformed from Gao Dai's 36 questions.

Shen Qiyi compared, Professor Lu's "Analysis of Strong Singular Integral Operators along Homogeneous Curves" was more difficult than the most difficult topic given by Professor Sun.

Rise to the challenge!

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

The sources are SCI and arXiv, the more in-depth the research project, the more international the researchers, the more difficult it is to find valuable Chinese materials, and 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.

Mathematics Level 7 (288/250,000)

Physics Level 5 (40/50,000)

Physical Education Level 4 (18/10000)

CET-4 (0/10000)

Language Level 3 (298/5000)

Chemistry Level 3 (104/5000)

Mob Level 3 (101/5000)

History Level 2 (111/3000)

Geography Level 2 (219/3000)

Politics Level 2 (498/3000)

Balance of student 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 mathematics, upgraded to level 8 elite, and the investment amount is as high as 250,000 student points.

"There are still nearly 160,000 points left, where can I get it?"

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

Wait, what's the solution.

But one thing is certain, the higher the quality of the paper, the better the journal it publishes, and the more outstanding the achievements, of course, the more points of the top students will be more.

Brush the number of papers, or do the quality of papers?

That's a problem.

The best of both worlds is to publish a large number of high-quality papers, publish three or five papers in Ann-Math (Annals of Mathematics) in the first quarter, brush up on his seven or eight papers in Acta-Math (Acta Mathematica Sinica) in the second quarter, and switch to Inv-Math (mathematical inventions) and JAMS (Journal of the American Mathematical Society) in the third and fourth quarters, and ensure the publication of dozens of papers in the four major international mathematical journals every year.

Let's work towards this goal, boy!

Shen Qi set a small goal and then threw himself into battle.

First, complete the number of points given by Professor Lu.

Collecting references is a time-consuming task, and the collection path reflects the core idea of a paper author.

Casting a net everywhere and downloading what you see shows that the author of the paper has a dark eye and does not have a clear direction.

No matter, let's write first, write wherever you want, a Mac in your left hand, a Pad in your right hand, and an ifi at your feet, looking up information while writing papers. It's a very amateurish approach, which seems to be busy as a dog, but in fact it is inefficient.

Shen Qi is a professional level 7 in mathematics, he can't be so amateurish, his direction is very clear, three keywords, strong singular integral, amplitude modulation space, homogeneous curve, just search for information in these directions.

The direction of the reference collection was determined, and the rest was a matter of time.

“. Falls, who's this guy? Oh, Princeton's, he's pretty good at writing this Ph.D. dissertation, collection. ”

"This is a devil, Dongda, there is only one formula in the whole paper that works, collect it first, and then I can directly quote this formula and prove it myself, at least a month. ”

"Gong,., this is my senior brother, MIT, that's right, it's my senior brother Gong Changwei, this paper...... Let's collect it first, Senior Brother Gong focuses on number theory, friendship collection, maybe I can use it in the future. ”

“. Haking, University of Cambridge, author of the paper...... Stephen Hawking!"

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

Stephen Hawking, a physicist and mathematician, wrote a mathematical paper that was included in the British Mathematical Abstracts in 1987, a year before A Brief History of Time was published.

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

Hawking's assistant was a learned man and understood Hawking well.

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

"The translation of this mathematical paper written by Hawking into Chinese should be, the bounded nature of the exchange of the Reese potential operator related to the Schrödinger operator? ”

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

Shen Qi keenly discovered that Hawking's mathematical paper based on the Schrödinger operator and the Reese potential operator, published in 1987, had at least one proof that could be cited in his new paper.

Shen Qi understood Hawking's proof and burned a lot of brain cells.

The remaining important proof and a core formula were incomprehensible to Shen Qi.

If you don't understand it, you can't quote it, otherwise you will laugh and be generous.

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

In any case, Shen Qi has read at least one of Hawking's mathematical proofs at the height of his academic career, and his comprehension is stronger than that of most of his peers.

A good paper is inseparable from a good citation, and a good citation needs to rely on strength to understand and be used by me, Shen Qi drew the key points, and Hawking made a mathematical proof to cite it.