Chapter 119 The Prince of Mathematics
As the top journal in the field of mathematics, Annals of Mathematics is undoubtedly a must-read journal for those who are passionate about mathematical research. Basically, every time the latest issue is published, it will be sent to the mathematics departments of universities.

University of California Los Angeles.

Outside the teaching building.

The bell rang for the end of get out of class, and a short-haired young man wearing glasses walked out of the classroom.

Just as he was about to return to the office, he happened to meet his colleague Professor Bagfu from the School of Mathematics, who came over with a rosy face. Upon closer inspection, he seemed to be holding an English journal in his hand.

"Terry has good news for you." The blond-bearded Bagev greeted them as soon as they met.

After saying that, he even grabbed Tao Terence's hand, looking very excited.

Terence Tao was a little confused by what happened suddenly, and looked at the other party with complete bewilderment.

"Calm down first, Professor Bagev. What kind of good news can make you so happy?"

"My friend, haven't you read the latest issue of the Annual of Mathematics yet?" Bagev asked in surprise.

As he spoke, he raised the journal in his hand.

When Terence Tao heard this, he was a little stunned. He was busy studying twin prime numbers recently and wanted to use a new sieve method to prove it, so he hadn't read the latest journals for a long time.

When he heard what Bagfu said, he suddenly thought of something, so he took the initiative to ask about the situation.

"Not yet in time."

“Is there any new progress in mathematics?”

"Which field?"

At this time, Bagoff no longer kept the secret and told Tao a field of mathematics with a smile on his face.

"Partial Differential Equations."

Then he said excitedly: "Partial differential equations have always been your area of ​​expertise. This time someone has thoroughly proved the problem of the global smoothness of the solutions of the Monge-Ampere equation in partial differential equations." He handed over the journal in his hand right after he finished speaking.

Tao Zhexuan heard everything his colleague said and was very surprised.

Before studying prime numbers, he was good at partial differential equations and was naturally familiar with the theory of Monge-Ampere equations.

It is no exaggeration to say that he also tried to remove those two conditions, but unfortunately he did not succeed in the end.

I never thought that someone would have completed the proof now.

At this time, he couldn't help but become interested and wanted to see what method the other party used to complete the proof.

"Thank you, Professor Bagev, for telling me this. I will study this paper carefully."

He immediately said this to Bagfu and prepared to take the journal back to the office to check.

Professor Bagev did not stop Tao Zhexuan, but just shouted something while looking at his back.

"The author of this paper is someone you know. It will definitely give you a big surprise."

When Tao Zhexuan, who was already walking in front, heard this, he didn't turn around to respond, but a question mark emerged in his mind.

"acquaintance?"

I quickly went through the names in my mind, but didn't find any so-called acquaintances who met the requirements.

The main reason is that it is true that many of his friends are mathematicians, but none of them are good at studying partial differential equations, so it is impossible to determine who proved the global smoothness of the solution to the Monge-Ampere equation.

With this thought in mind, his pace quickened significantly.

Not long after.

Terence Tao returned to his office.

He casually placed the things he brought from the classroom on the table, then sat down and took out the journal.

Soon he found the paper that Bagev mentioned.

First, I looked at the author of the paper, and immediately a familiar name came into my sight.

He couldn't help but read it out loud.

"Xu Yuan..."

Although he had never seen the person with this name, he was indeed familiar with it.

When the other party used a new sieve method to solve the problem of infinite Carmichael number intervals, he carefully studied the paper and praised the optimized sieve method therein.

At the same time, I was even more surprised that there was such a mathematical genius in China.

The mathematical genius that he could be called was not the kind of gold medalist in the International Mathematical Olympiad.

Instead, one needs to have strong mathematical, logical thinking and innovation, so as to generate inspiration to solve mathematical problems. Obviously, Xu Yuan is such a mathematical genius who meets the requirements.

After all, the optimized and innovative sieve method alone can be used to prove many prime numbers in number theory.

However, due to his own talent and self-confidence, he did not choose to use Xu Yuan's screening method.

I want to prove prime numbers using a new method.

Although there has been no breakthrough so far.

Although he didn't pay special attention to Xu Yuan, he would sometimes see some related news.

For example, at the previous international cryptography conference, when he saw Xu Yuan giving a report announcing the proof of the MD5 password, he was not only surprised but also more regretful. He never expected that the other party had transferred to cryptography.

Although achievements have been made in the field of cryptography, this situation is basically the same as giving up theoretical mathematics.

You know, in his opinion, if the other party can optimize that sieving method and continue to delve into it, it will definitely promote the development of the field of number theory.

When he saw this paper today, he was even more surprised. From number theory to cryptography, he has achieved such excellent results in partial differential equations.

The gap between the two is quite large indeed.

Seeing that his thoughts were becoming more and more confused, he immediately shook his head and put these thoughts aside temporarily.

Focus your attention and pick up the journal to read.

He wanted to see how high the other party could reach in the field of partial differential equations in such a short time.

that's it.

As time passes by.

Tao's expression also gradually changed from initial calmness to solemnity.

There are also some surprises in between.

Then he took out a draft and a pen from the drawer to check the calculations.

Another half hour passed.

He finally stopped what he was doing, put down his pen, straightened his body, and slowly exhaled.

“This is a really great idea!”

“Use physical methods to prove mathematical problems, and find no loopholes in logic and process.”

“It’s really exquisite.”

There were not many papers that he could praise so much, but he became more and more curious about this undergraduate student from the Department of Mathematics at Qinghua University, and wanted to know what kind of learning method could make him so talented in mathematics.

After verification, he confirmed that Xu Yuan had indeed completed the proof and successfully eliminated the two necessary conditions for the smoothness of the Monge-Ampere equation.

Even if he is called the Mozart of mathematics, people cannot help but praise this talent.

The key point is that the other party is only a sophomore in undergraduate studies this year, and is much stronger than when he was an undergraduate.

At this time, he noticed that there was an evaluation given by Professor Deligne at the end of the paper.

"The author cleverly used physical methods to complete the mathematical proof and successfully removed the necessary conditions for the smoothness of the solution to the Monge-Ampere equation. The process and ideas are rigorous and reasonable without any loopholes. I can now finally announce that the mathematics world has a new prince of mathematics."

After reading all the reviews, Terence Tao was somewhat moved. He did not expect that Professor Deligne would give such a high evaluation.

As for the reputation of Prince of Mathematics, we should know that Gauss has always been referred to by the academic community as one of the most important mathematicians in the world. One can imagine the value of this title.

This made him want to communicate with the other party face to face more and more, and he muttered to himself while looking at the paper on the table.

"A mathematical prince in the mathematics world? I hope we can have the opportunity to communicate in the field of number theory and partial differential equations in the future."

……

……

"I didn't expect there is such a genius in the domestic mathematics community. Even Professor Deligne gave such an evaluation."

"You really are a terrible person!"

Wednesday, March 2005, 3, Chinese University of Hong Kong.

In the professor's office, Qiu Chengtong, the first Chinese winner of the Fields Medal, was reading a paper with a sharp gaze.

Although his research area was mainly differential geometry, the Calabi conjecture he once proved was related to the optimal transmission Monge-Ampere equation. It was this conjecture that won him the Fields Medal.

Now that someone has made a new breakthrough in Monge-Ampere's equation, he will definitely spend time studying it.

Therefore, after receiving the relevant information, he found the latest issue of the Annals of Mathematics to verify the proof of smoothness of the Monge-Ampere equation above.

The final result naturally surprised him. No matter the clever proof method or process, there was nothing wrong with it.

Of course, what surprised him most was that the author of this paper was not a professor from a famous overseas university, but a sophomore undergraduate student in the Department of Mathematics at Qinghua University in China.

This undoubtedly gave him hope for the development of domestic mathematics.

It is also worth mentioning that he was surprised when he first saw the evaluation given by Professor Deligne.

He wondered if the reputation of the Prince of Mathematics in the mathematics world was too high, especially since this student of Qinghua didn't seem to know Deligne.

Later, he did some research and found out that Xu Yuan had already proved a problem in number theory long before.

My favorable impression and expectations of Xu Yuan suddenly increased a lot, and I finally understood why Deligne gave such an evaluation.

After all, proving only one difficult mathematical problem might be a matter of luck, where inspiration came by chance, but solving two difficult problems in different fields in a short period of time is a completely different situation.

This showed that the other party did have an amazing talent for mathematics, and considering Xu Yuan's age, he couldn't help but feel a liking for his talent.

"After careful calculation, I realized that I haven't seen my old friends for a while. We can take this opportunity to organize an exchange activity between the two schools."

Soon an idea popped up in Qiu Chengtong's mind, and he confirmed it without much thought. While muttering to himself, he immediately picked up the phone on the desk and dialed the number.

……

Turning our attention to Qinghua University, with the latest issue of the Annals of Mathematics appearing in the School of Mathematical Sciences, Xu Yuan also gained the reputation of being the Prince of Mathematics.

After hearing this, Xu Yuan was at a loss whether to laugh or cry. He really didn't expect that Professor Deligne would give him such a high evaluation.

But the happiest people were naturally Professor Tang Shihong and Director Liao. Who wouldn't be happy to have such a student in the college?

As Xu Yuan officially graduated from undergraduate school and started to study for a doctorate, he also began to attend Professor Tang's differential geometry courses from time to time to strengthen his relevant mathematical knowledge.

(End of this chapter)