The top student must be diligent.

Chapter 88 Salute!

Princeton University, in a laboratory belonging to a graduate student in the Department of Mathematics.

"Ahahahaha, I did it! I did it!"

At a certain workstation, someone suddenly threw away the pen in his hand, picked up the draft paper on the table, and started waving it around, while shouting excitedly.

For a moment, the other graduate students in the laboratory all looked sideways at this person.

Could it be another person who has gone crazy studying math?
Then he looked more carefully and realized that this person was their laboratory's senior doctoral student, a Chinese named Wen Chenghua.

Their senior brother has been studying for a doctorate for four years, but has not yet graduated because he has not completed his doctoral thesis.

Of course, for a PhD in mathematics, studying for four years is not too late, but who doesn’t want to graduate early?

"Wen, what are you so excited about! Calm down!"

Their mentor, Andrei Okunkov, was also in the lab at this time, sitting at the front seat, studying his stuff.

Compared to other professors who may prefer to sit in the office, Okunkov prefers to sit in a laboratory with his students, so that his students can ask him anytime if they have any questions.
Of course, it also makes it convenient for him to supervise his students to see if they are studying seriously.

Hearing the instructor's reprimand, Wen Chenghua immediately shrank his head and quickly apologized, "Sorry, professor, I was wrong."

Their tutor from Russia has a very bad temper. Once their students make any mistakes, no matter big or small, academic or in daily performance, he will criticize them severely, so they are all afraid of this tutor.

However, the other party's abilities and the academic help he provided to them also forced them to respect this mentor.

After all, Okunkov is the 2006 Fields Medal winner, and it is their luck to be the students of a Fields Medal winner.
He kept quiet, but Wen Chenghua still brought his draft paper to his instructor and said, "Professor, I've finished that question!"

Okunkov frowned. "That question? It's about the p-advanced Galois representation of the non-Archimedean local domain under the residual feature p?"

Wen Chenghua was surprised that his professor could still remember the question he had asked him a few months ago, and then he nodded: "Yes, professor! I have figured it out!"

"Aren't you kidding?"

Seeing his eldest disciple's happy look, Okunkov raised his eyebrows, a little surprised. He was very clear about the difficulty of this problem, otherwise it would not have stuck his student for so long.

He remembered that Wen Chenghua's thesis topic was the observability of Galavasan representations, which involved the second part of the Tate conjecture. It could be said to be a very difficult problem, even as difficult as what most mathematics professors were studying.

If this problem is solved, it will be possible to achieve more refined results on previous research, which will be of particular importance to any scholar who is conducting research in this area.

Well, all in all, there is every chance of getting published in the Big Four, although you may have to wait in line for a long time, but it is definitely more than enough to get published in the second-tier journals.

But obviously, it is very difficult.

The problem that Wen Chenghua was stuck on before was the problem of Galavasan representation in p-adic Hodge theory.
This problem has not been figured out by Okunkov himself yet, otherwise Wen Chenghua would not have been stuck for so long.

Surprised, Okunkov said, "Show me how to solve it."

"Ok!"

When Wen Chenghua heard the instructor's question, he immediately straightened his chest, walked to the blackboard and started writing.

Soon, Okunkov became surprised: "Wait! What method are you using here? Could it be the self-morphic theory of etale algebraic clusters that Yi Xiao came up with?" "Professor, you know that too?" Wen Chenghua asked in surprise.

"You must be joking. How could I not know this if you know it?" Okunkov glared at him. "I've been researching this recently."

Wen Chenghua immediately realized that he had said the wrong thing.

However, Okunkov did not say much, and continued: "Don't stop, keep writing, I also want to know how effective this theory can be."

"Okay professor!"

Wen Chenghua nodded quickly and continued writing on the blackboard.

Soon, with the help of Xiao Yi's Etale algebraic variety automorphism theory, this problem that had stumped him and Okunkov, the Fields Medal winner, for a long time was easily solved.

This means that Wen Chenghua's graduation thesis has finally been settled, and it is a paper at the top journal level. He has become the first and biggest beneficiary after the birth of Xiao Yi's Etale algebraic variety automorphism theory.

Even at the end, Okunkov took the initiative to ask Wen Chenghua some questions about this theory. Even though he was Wen Chenghua's mentor and a Fields Medal winner, due to subtle differences in their research directions, he sometimes needed to ask his students questions that he might not understand yet.

This is also the characteristic of mathematics.

For a moment, Wen Chenghua seemed to be able to feel the admiring gazes from his fellow junior students.

Installed!
That night, after returning to the dormitory, Wen Chenghua, whose graduation thesis was no longer a problem, lay down on the bed with ease, turned on his mobile phone, and browsed the foreign version of Quora.

As soon as he clicked on it, he saw a problem in the field of mathematics recommended to him.

【In his two recent papers, Xiao Yi, a Chinese mathematical genius, created a theory called Etale algebraic variety self-protection. What is the role of this theory in mathematics? 】

More than 20 people have answered this question. When Wen Chenghua clicked on it, he was surprised to find that the great writer Terence Tao was also among the answerers.

[This theory has many uses! On the positive side, it is of great help to us in any number theory problem. In fact, I am now planning to discuss the x^2+1 prime number problem with J. Maynard.

Looking back, we will be able to use the method of automorphic forms and trace formulas to study any problem related to the Etale fundamental group, and thus extend it to all aspects of algebraic geometry, such as p-adic Hodge theory, Tate conjecture, and of course, far Abelian geometry. Maybe after reading Xiao Yi's paper, Shinichi Mochizuki will also generate more inspiration on the ABC conjecture? 】

After seeing this comment from Terence Tao, Wen Chenghua was immediately amazed in his heart, he is really worthy of being a great writer, he can see at a glance that this theory can play a role in Tate's conjecture.

Looking at other comments, there are many doctors and professors from various prestigious universities, all of whom have expressed great recognition for Etale's theory of automorphism of algebraic varieties.

Finally, as a beneficiary of this theory, Wen Chenghua felt that he needed to praise it as well.

[I am about to graduate from Princeton University and a PhD in mathematics came to me uninvited. I don’t know what role Xiao Yi’s theory plays in mathematics, but what I do know is that it helped me complete my doctoral dissertation, which had been stuck for a long time. My advisor is Andrei Okunkov, and even he said that this theory is a major achievement of our mathematics community this year.

Finally, please allow me to express my sincerest respect to God Xiao! salute! 】

……

[PS: It should be available on May 5st. I am ready to update it soon. I hope all readers will support it. ]

(End of this chapter)