"Oye's TOEFL score is a little lower than mine, the GRE is a little higher than mine, and the GPA is the same as mine, both of which are 4.0. ”

"My scientific research experience is not as rich as Ouye, I only published one paper, and I wrote it with Ouye. ”

"If Ou Ye plays normally during the interview, then there should be nothing to do with me. ”

Zhou Yu'an explained the situation in China to Shen Qi.

"Oh, that's right. Shen Qi's guess is the same, Ou Ye's kind of verbal expression ability, if she meets a stern interviewer, she may be so nervous that she can't even speak.

ended the call with Zhou Yu'an, and Shen Qi called Ou Ye to confirm the situation.

Sure enough, Ouye's written grades were excellent, but the interview was messed up.

Throughout the interview, almost all of the interviewers at Princeton were talking, with Oye occasionally answering a few words.

The interviewer went crazy and gave Ouye the lowest interview score.

"His question, it's so strange, I, I ......" Ou Ye was about to cry on the other end of the phone.

"Don't be anxious, don't panic, and let me think. "My own woman is in a hurry, Shen Qi must not be in a hurry, if both of them are in a hurry, then there is no salvation.

"Are you sure that you will continue to apply to the Department of Mathematics of the University next season? I guess it's still a bit hanging, and the interview card is there. Shen Qi was a little dignified.

"That'...... So what should I do?" Ouye's lack of social experience made her helpless.

"In addition to Princeton, did you go to any other American university?" asked Shen Qi in as calm a tone as possible.

Oye: "No. ”

"You...... Hey, it's very European. Shen Qi had no choice but to take Ou Ye, he walked back and forth in the apartment, thinking about countermeasures: "There is still time, Xiao Yezi, you listen to me, and submit application essays to other prestigious schools on the East Coast of the United States and around Princeton." ”

Ouye: "But I want to go to Puda." ”

The mathematics departments of New York University and Columbia University are also very strong, and New York is very close to Princeton, similar to the distance from the capital to Langfang, I can often go to New York to see you, this is nothing, many people who work in the capital still live in Langfang. As long as you have a car in the United States, it's not a big deal, I bought a Chevrolet, and the traffic problem has been solved. Shen Qi came up with a compromise plan.

Suddenly, Shen Qi had an idea: "By the way, our senior brother Gong Changwei is a professor in the Department of Mathematics of Columbia University, you can apply for his graduate school! Senior brother Changwei is an expert in number theory, and he happens to be the counterpart of your major!"

If you're lucky, you can go to New York in January next year to study, stay with Brother Changwei for a year or two, and then come to Princeton for a Ph.D. When you arrive in the United States, everything is easy to say, and I will help you arrange everything for your PhD study at Princeton. I'll just ask you Ouye, do you listen to me?"

"Listen, I listen to you. ”

The young couple reached an agreement, and Ouye first went to Columbia University for graduate school, and then came to Princeton for a Ph.D.

There's no way, who made Ou Ye unable to pass the interview.

This strategy of saving love with a curve is the best strategy that Shen Qi can think of at present.

So the question is, Columbia University in New York City is also an Ivy League school, and their family's interview will definitely give Ouye a passing grade?

This requires a little bit of in-depth understanding.

"Professor Müller, I don't know if there is such a system, where you come forward as an interviewer and interview a Chinese student, who is a very good mathematical genius. Shen Qi did not give up, he made two preparations, and immediately found Professor Mueller, wanting Professor Mueller to directly recruit Ou Ye to Princeton.

"It's a pity, Shen Qi, that such a rule doesn't exist, at least not in Princeton. New York University and Columbia University have more flexible admissions systems, and you can let her try. Professor Muller explained that for recruiting foreign undergraduates to study at the university, the professors of the university only make a written assessment of the student's academic performance, and do not participate in the interview, and the interview is conducted by a professional interviewer.

Shen Qi has Gong Changwei's contact information, and the two exchanged business cards when they held the "Ivy Number Theory Seminar" last year.

Before contacting Gong Changwei, Shen Qi first greeted Sun Erxiong and asked Sun Erxiong to help blow the wind.

As soon as Gong Changwei heard about this situation, he immediately made a decision, Ou Ye is a good student, I have an impression of her, she and Shen Qi jointly published "The Proof of the Walsh Conjecture of the Diophantine Equation", no problem, let Ou Ye come to Columbia University to study my graduate school, I will interview her in person, video interview.

Shen Qi was relieved, Gong Changwei personally acted as an interviewer, at least he would not deliberately make things difficult for Senior Sister Yan.

Moreover, Ou Ye's written results are here, and she is a computational Ji who specializes in number theory, and it is very suitable to study under Gong Changwei, an expert in number theory.

In September, Shen Qi became a Ph.D. student in the Department of Mathematics at Princeton University.

Meanwhile, in China, Ou Ye and Zhou Yu'an are in their senior years, and they are preparing to report to Columbia University and Princeton University in January next year.

While waiting for Ouye, Dr. Shen decided to do some meaningful and interesting academic research.

This interesting idea came from an unexpected discovery.

Shen Qi was looking for a paper by Faltins published in the early 80s, in which Faltins proved a theorem that would lay the groundwork for him to prove the Modell conjecture one year later.

It was because of the proof of Modell's conjecture that Faltins became a smash hit in the 80s, winning the Fields Medal.

Faltins currently works at Princeton and is the editor-in-chief of the Annals of Mathematics.

Shen Qi looked for Faltins' old paper in order to do a meaningful study, and he needed to cite Faltins's paper as material.

In this mathematical journal published in the early 80s, Shen Qi discovered an interesting secret, another paper.

There are two authors of this interesting paper, Alan Mueller, and Tony Manning.

Shen Qi didn't know which god Tony Manning was, but he knew that Alan Mueller was his master's supervisor + doctoral supervisor Professor Mueller.

In 1982, Alan Mill and Tony Manning, two mathematical researchers, jointly published this paper on the study of Banach space.

Banach space is a popular research direction that has been for decades.

In this paper on Barnach space, Alan Mill and Tony Manning claim that they have proved an amazing theorem, which they call "Muller-Manning theorem".

However, in Shen Qi's impression, he had never heard of the mathematical theorem related to "Muller-Manning", and the combination of the names of the two people looked more like a human-name reaction in organic chemical synthesis.

The "Mill-Manning theorem" describes it this way:

Let X be the Banach space and X* be the conjugate space of X, then the following argument is asserted for equivalence:

(1) If x*∈S(X*) reaches its norm on S(X), then x* is the ω* concave point of the unit sphere B(X*);

(2) X is a strong smooth space;

(3) Each ω* closed convex set of X* is an approximate tight Chebyshev set.

"So Professor Mueller, you and this Mr. Manning unilaterally claim to have proved this theorem?" Shen Qi asked very curiously.

It's really curious, more than 30 years have passed, and the IMU has not recognized the so-called "Muller-Manning theorem".

What is the situation that mathematicians all over the world have spent more than 30 years and still have not completed the proof of the "Müller-Manning theorem"?

"This is Manning's and I's early research, and we thought it had to be right, but now I realize that it's full of holes. Professor Müller said with embarrassment, as if he had done something stupid when he was young.

Shen Qi expressed his opinion: "I think there is no problem with the description of this theorem, of course, it can only be regarded as a hypothesis until it is thoroughly proven. If I were to complete the proof, I think I would have a new attempt to close the loophole and make the proof process as rigorous and perfect as possible, and finally get the IMU to accept it. ”

"Then you try, and I'll work with you to restart the work of proof, the work of proof in the 21st century," Müller said. If we succeed, it will be rewritten as the 'Mill-Shen theorem'. ”

"What about Mr. Manning? If I take his place, will he have an opinion? Or would it be more appropriate to change it to the MMS theorem?" Shen Qi suggested, respecting the academic status of the original creator.

"This goddamn bastard...... He died ten years ago. Professor Mueller suddenly gritted his teeth, looking sad and aggrieved.

"May Mr. Manning be well in heaven. Shen Qi expressed regret that a great mathematician unfortunately died ten years ago.

There is no MMS theorem, only the Müller-Shen theorem, let's begin this century-spanning project, Dr. Shen Qi. ”