The top student must be diligent.

Chapter 28 Paper Topic Selection
"Next I should start thinking about the topic of my thesis."

Xiao Yi thought in his heart.
It is now the end of April, and there is still a little over a month left before the college entrance examination, and only four months left before the start of school at USTC.

For him now, the college entrance examination is not a big problem. The knowledge learned in high school does not pose any difficulty for him now.

There is no need to say much about mathematics. If he couldn't get full marks in mathematics, he would finish the book on the spot. As for English, after only one month of study, his English score increased from 130 to 144. When it came to the college entrance examination, English was not a problem at all. As for comprehensive science, it was the same as mathematics. If he couldn't get full marks, he would finish the book on the spot. Basically, only Chinese required luck.

In general, he has already aimed to be the top scorer in this year's college entrance examination.

The only pity is that even if he got the top scorer, he could not apply to any school except the junior class of USTC. After all, as a sophomore in high school, he was not qualified to take the college entrance examination.

This is also a kind of protection for senior high school students. Otherwise, the number of students that colleges and universities can enroll each year is limited. If those who are not senior high school students are allowed to take the college entrance examination, it will greatly squeeze the number of senior high school students.

However, although it was a pity, Xiao Yi had no regrets.

He knew clearly that when it comes to studying, the environment may be important, but one's own ability is more important.

Now that he has a 12-fold bonus on learning efficiency, the influence of the environment is no longer an important factor.

There is no need to worry about the college entrance examination. All that remains is to write a paper before admission.

“Four months to complete a paper…”

Actually, this is still very simple for Xiao Yi, just like the paper "Convergence of Riemann Integral and Lebesgue Integrability" that Hu Guangde asked him to read. To be objective, even if he has never written a paper, he can write several in a day - it depends on his typing speed.

But obviously, such papers cannot meet the requirements of "core journals".

Even just barely reaching the threshold of a core journal is not Xiao Yi's goal.

As the first paper in his life, he hopes to have a good result.

At least when he looks back on it a few years later, he won't feel too embarrassed by the immaturity of this paper.

"Why not ask Professor Liu Bin and see if he has any suggestions?"

Finally, Xiao Yi made a decision.

When writing a paper for the first time, asking the teacher is always the best choice.

He took out his own cell phone - students' cell phones were always kept by the class teacher while they were in school and they could only be taken home.

But now, these rules have become a thing of the past for Xiao Yi. This afternoon, he could even go to the principal's office to get a notebook.

He took out his cell phone and called Professor Liu Bin.

Soon, the call was connected.

"Xiao Yi, why did you find time to call me?"

Liu Bin asked with a smile.

Xiao Yi stated his purpose: "Professor Liu, I am preparing to start writing my paper, but I have some problems with the topic selection. I hope to get your advice."

Liu Bin was surprised and asked, "You have already started preparing to write the paper?"

"Yes." Xiao Yi said, "After all, there are only four months left."

Liu Bin was silent. At this moment, he really wanted to tell Xiao Yi the truth. Even if he didn't write a core journal-level paper, he didn't have to worry about admission. Liu Bin couldn't imagine that a rookie who had never published a paper could complete a high-quality paper in four months.

When he was young, he was considered quite outstanding and published several mathematics papers during his undergraduate studies. However, it took him nearly a year to publish his first paper, which was not even published in a core journal and was just an ordinary journal.

Although Xiao Yi's performance was indeed much better than he was back then, he still didn't think that Xiao Yi could do it, even though Academician Hu Guangde had told him those words.

Of course, no matter what, he still agreed with Xiao Yi's plan to start writing his thesis. Regardless of the final quality, it would also give Xiao Yi some experience in writing thesis.

Just like when every freshman first enters college, the teachers will more or less explain to them the benefits of writing papers, although in the end more than 90% of the students will forget about it.

"So what direction do you want to write about now?"

"Algebra? Geometry? Or number theory?"

Xiao Yi thought for a moment, and remembered the proof of Fermat's Last Theorem he had read, and then he said, "Number theory."

"Oh? Number theory?" Liu Bin's tone rose, and he asked with a smile: "There is a saying in mathematics that number theory is a game for geniuses. Hmm...it is indeed quite suitable for you."

"But why did you choose number theory?"

Xiao Yi said: "I read Wiles' paper proving Fermat's Last Theorem, and this paper made me very interested in number theory."

After hearing Xiao Yi's words, Liu Bin immediately lost his composure.
He was surprised and asked, "What? Did you read Andrew Wiles' paper proving Fermat's Last Theorem? The original paper? Or did you find the proof on the Internet?"

"The original text of the paper." Xiao Yi replied.

“There are two papers, both published in the third issue of Volume 1995 of Annals of Mathematics in 141.”

Xiao Yi sighed, "I see that there are four or five papers in each issue of Annals of Mathematics, but that issue only has these two papers. Is this the treatment for a paper that solves a world-class mathematical problem?"

Hearing Xiao Yi's words, Liu Bin hissed.

The fact that Xiao Yi was able to mention "Annals of Mathematics" and explain that only two papers proving Fermat's Last Theorem by Andrew Wiles were published in that issue proves that Xiao Yi did read the original texts of those two papers.

This is even more difficult to obtain than reading those papers that have been summarized and simplified by later generations.

This kid... can actually read the original proof of Fermat's Last Theorem?
"Have you finished reading those 40 books I gave you?"

Xiao Yi replied: "I have already started watching it for the second time. In a few days, I will be able to finish it for the second time."

The speed of reading it the second time should be faster than the first time, but because he also had to read papers and so on, the speed was much slower.

However, Liu Bin still sighed in his heart.

After watching it for the first time, I am willing to watch it for the second time.

This kid really likes math!
Perhaps, he really has a chance to write his first paper at the level of a core journal?

Then, Liu Bin said, "Okay, in that case, let me recommend some topics in number theory to you."

Please collect and recommend! !


(End of this chapter)