Boys and girls generally have to go through several major stages in their relationship. The first stage is to be able to talk and ask the girl out. The second stage is to achieve physical contact. As for the third stage, it is just overthrown. △Lv Qiujian Now

The first two steps have been completed, and there is no rush for the third step yet.

Just as he and Natalie were having sex with each other, Professor Nan received a new email. The issuer of the email was Gregory Perelman, "Huh? Has Grisha achieved anything else?"

, Professor Nan opened the email with a hint of envy:

Dear Nan,

Could you please take a look at my new paper? I propose a monotonic form of daily cci flow, which holds in all dimensions and does not require curvature assumptions... If no problems are found, I plan to publish it on the arxiv mathematics website.

Gregory Perelman

It seems like a bit of a car crash! Poor Grisha, research crashes often happen in academia. Unexpectedly, this time it was the turn of his friend Grisha. Professor Nan could tell at a glance that his paper seemed to be similar to Lu Qiujian's.

The difference is the same, except that Grisha has not yet completely completed the proof of the Poincaré conjecture, but has only found a breakthrough; however, judging from the ideas revealed in this article, it is only a matter of time before Grisha completes the Poincaré conjecture.

What a pity! But this is the cruelty of academia. People usually only consider the first person to achieve a breakthrough, and the rest will only become their foil. After thinking for a moment, Professor Nan began to reply:

Dear Grisha,

I have finished reading your paper, it is a wonderful article, and I sincerely congratulate you on your achievements; but I still regret to tell you that a third-year Princeton student has completed this proof before you,

And he has gone further than you. He has completely completed the proof of Poincaré's conjecture. The summary of the paper will be published in the next issue of "Science", and all the papers will also be published in "Annals of Mathematics".

If you are interested, you can check it out after the journal is released.

Of course, if you are willing to communicate with Lu Qiujian, the student who cracked the Poincaré conjecture, I will be happy to help you establish contact.

Finally, I hope you will not lose your fighting spirit due to this blow and can achieve greater breakthroughs in the future.

your friend nan

The email quickly reached the other side of the world through the Internet. At this time, it was freezing and snowing in distant Moscow, and Grigory Yakovlevich Perelman was munching on Bifelife brand yogurt in front of the computer.

He has been eating cold, hard brown bread for more than ten years.

People who know him well like Professor Nan usually call him Grisha. Grisha became interested in mathematics when he was 4 years old. While other children were having fun, he was chewing mathematics books alone;

When I entered the famous St. Petersburg No. 239 Middle School, this school has always been famous for its advanced mathematics and physics teaching. In the first year of entering No. 239 Middle School, I participated in the International Mathematical Olympiad as a high school student and won the International Mathematical Olympiad with a perfect score of 42 points.

gold medal.

Everyone knew that this genius had an immeasurable future. The Americans immediately offered him a generous scholarship, but he declined the invitation to study in the United States.

After graduating from high school, he entered St. Petersburg University and became a member of the St. Petersburg School founded by Chebyshev. After receiving his doctorate, he visited the Courant Institute of New York University in the United States, and then went to Stony Brook University of the State University of New York. During this period

Get to know Professor Nan.

After the visit, he returned to St. Petersburg and continued to work "quietly" at the Steklov Institute. Living in isolation, no one knew what he was doing; he did not expect that he would make such a big breakthrough quietly.

.

The sound of a new email arriving sounded. When Perelman saw Professor Nan's name on the sender's page, he smiled and ate the brown bread faster.

Why did he reply so quickly? With a little doubt, Perelman opened Professor Nan's email. The content of the email immediately shocked her. She didn't expect that the results she had worked on for many years had been done by others in advance.

, the excited Perelman immediately responded to the letter and asked Professor Nan for Lu Qiujian's paper.

After obtaining Lu Qiujian's consent, Professor Nan sent the email. Anyway, after what happened with Professor Ferrig, the honor of cracking the Poincaré conjecture has fallen on Lu Qiujian, so there is no need to worry about others.

question.

Sure enough, the idea was the same as mine! Unfortunately, I was still a step too late! Lu Qiujian's subsequent steps were not beyond Perelman's expectations. If he had been asked to do it, he would probably have used the same approach as Lu Qiujian.

.

God, do you really not want me to retire so early? Perelman, who had planned to launch himself into the world of mathematics after cracking the Poincaré conjecture, was confused about what he should do next.

I don’t know when he will give a public report. I must go and see it then, but the travel expenses are a big problem! The Steklov Institute is not a place that can provide high salaries. The meager salary is not enough.

He used it to purchase various journals and research facilities, and Perelman had not saved much savings over the years.

It would be great if he was willing to put it in Europe. At least the travel expenses would be less. Forget it, this is not an unsolvable matter. Let’s wait until we receive the news! Professor Nan will probably inform me then, right?

Putting the matter of travel expenses aside, Perelman leaned back in his chair and thought about his future. This situation is not a bad thing. At least now he doesn't have to worry about having nothing to do anymore like Wiles.

It's a huge loss, isn't it? He comforted himself like this.

In mathematics, the Poincaré conjecture is not the only unsolved problem that has been solved. There are also Riemann's hypothesis, Hodge's hypothesis and many other problems waiting for mathematicians to solve! Perelman struggled a lot.

day, he began to look for a way forward for himself. Of course, he did not forget to send an email to Professor Nan:

Dear Nan,

I was both disappointed and excited when I received this email. What was disappointing was that I was lagging behind others, but what was exciting was that I could see the complete cracking process of the Poincaré conjecture earlier; if Lu Qiujian wants to make a public report in the future, please

Give me a ticket; you don’t have to worry about my situation. I have come out of my confusion and am looking for new research directions. I hope you won’t bring me something like this next time you receive an email.

Such bad news.

Gregory Perelman
Chapter completed!