I just want to be a quiet scholar
Chapter 244 The Mueller-Shen Theorem?
Chapter 244 The Mueller-Shen Theorem?
"Ouye's TOEFL score is a little lower than mine, GRE is a little bit higher than mine, and her GPA is the same as mine at 4.0."
"My scientific research experience is not as rich as Ouye's. I only published one paper, and I wrote it together with Ouye."
"If Ouye performed normally during the interview, then there should be nothing wrong with me."
Zhou Yu'an explained the domestic situation to Shen Qi.
"Oh, that's it." Shen Qi's guess is the same. With Ouye's verbal expression ability, if she meets a strict interviewer, she may be so nervous that she can't even speak.
After finishing the call with Zhou Yu'an, Shen Qi called Ouye to confirm the situation.
Sure enough, Ouye's written performance was excellent, but the interview was messed up.
During the whole interview, the interviewer from Princeton was almost the one talking, and Ouye occasionally answered a few words.
The interviewer went crazy and gave Ouye the lowest interview score.
"The question he asked is so strange, I, I..." Ouye was about to cry on the other end of the phone.
"Don't be impatient, don't panic, just let me think about it." Shen Qi must not be in a hurry when his woman is in a hurry, if both of them are in a hurry, there is no way out.
"Are you sure that you will continue to apply to the Department of Mathematics of Pudong University next season? I guess it's still a little uncertain, and the interview is stuck there." Shen Qi was a little dignified.
"Then... what should I do?" Ouye lacked social experience, and she was helpless.
"Besides Princeton, did you vote for other American universities?" Shen Qi asked in a calm tone as much as possible.
Ouye: "No."
"You... hey, this is very Ouye." Shen Qi didn't know what to do with Ouye. He walked back and forth in the apartment, thinking about countermeasures: "There is still time, Xiaoye, you listen to me, and give it to the east coast of the United States and around Princeton. Send application documents to other prestigious schools.”
Ouye: "But I want to go to Puda."
"The situation is special, let's take the next best thing, my little leaf! The mathematics departments of New York University and Columbia University are also very strong. New York is very close to Princeton, similar to driving from the capital to Langfang. I can often go to New York to see you, It's 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 problem. I bought a Chevrolet, and the traffic problem has been solved." Shen Qi came up with a compromise .
Suddenly, Shen Qi had an idea: "By the way, our senior brother Gong Changwei is a professor in Columbia University's Department of Mathematics. You can apply for his graduate student! Senior brother Changwei is an expert in number theory, and he just matches your major!"
"Hurry up, Ouye, submit an application essay to Columbia University's Department of Mathematics immediately! If you are lucky, you will be able to go to New York to study in January next year. You will first stay with Brother Changwei for a year or two, and then come to Princeton to study for a Ph.D. Everything is easy to talk about in the United States, and I will help you arrange all the matters of Princeton's Ph.D. I will ask you Ouye, will you listen to me?"
"Listen, I listen to you."
The young couple reached an agreement, and Ouye first went to Columbia University to study as a graduate student, and then came to Princeton to study for a Ph.D.
There is no way, who made Ouye unable to pass the interview.
This kind of curve-saving strategy to save love is the best strategy Shen Qi can think of so far.
So here comes the question, Columbia University in New York City is also an Ivy League school, so they will definitely give Ouye a passing grade in the interview?
This takes a little bit of digging.
"Professor Muller, I don't know if there is such a system, that is, you personally act as the interviewer to interview a Chinese student? She is a very good math genius." Shen Qi did not give up, he made two-handed preparations , immediately found Professor Muller, and wanted Professor Muller to directly recruit Ouye to Princeton.
"Unfortunately, Shen Qi, there is no such regulation, at least not in Princeton. The admissions systems of New York University and Columbia University are more flexible, you can let her try." Professor Muller explained, for the admission of foreign undergraduates Students who come to Pudong University to study in graduate school, the professors of the school only evaluate the student's written academic performance, and do not participate in the interview. The interview is organized by a professional interviewer.
Shen Qi has Gong Changwei's contact information, and they exchanged business cards when they held the "Ivy League Number Theory Seminar" last year.
Before contacting Gong Changwei, Shen Qi first greeted Sun Erxiong and asked Sun Erxiong to help him.
When Gong Changwei heard about this situation, he immediately made a decision. Ouye 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". Big read my graduate student, I interview her in person, video interview.
Shen Qi is relieved, Gong Changwei will be the interviewer himself, at least he will not intentionally make things difficult for Master Yan.
Moreover, Ouye's written grades are here, and she is a calculation girl who focuses on number theory. It is very suitable for her to learn from number theory expert Gong Changwei.
In September, Shen Qi became a doctoral candidate in the Department of Mathematics of Princeton University.
At the same time in China, Ouye and Zhou Yu'an are entering their senior year. They are making preparations respectively and are going to report to Columbia University and Princeton University in January next year.
While waiting for Ouye, Shen Qi decided to do some meaningful and interesting academic research.
This interesting idea came from an accidental discovery.
Shen Qi was looking for a paper published by Faltings in the early 80s. In this paper, Faltings proved a theorem, which laid the foundation for him to prove Model's conjecture a year later.
It is precisely because of the proof of Model's conjecture that Faltings was a smash hit in the 80s and won the Fields Medal.
Faltins is currently at Princeton and is the editor-in-chief of the Annals of Mathematics.
Shen Qi was looking for the old paper of Daniel Faltings in order to do a meaningful research, and he needed to cite this paper of Faltings as a material.
In this mathematics journal published in the early 80s, Shen Qi discovered an interesting secret, which was another paper.
The authors of this interesting paper are Alan Muller and Tony Manning.
Shen Qi didn't know who Tony Manning was, but he knew that Alan Muller was his master's tutor + doctoral tutor, Professor Muller.
Alan Muller and Tony Manning, two mathematical researchers, jointly published this paper in 1982 on the study of Banach spaces.
Banach spaces are a hot research direction, and have been for decades.
In this paper on Banach spaces, Alan Muller and Tony Manning claimed that they had proved a remarkable theorem, which they named "Muller-Manning Theorem".
However, in Shen Qi's impression, he has never heard of the mathematical theorems related to "Muller-Manning". The combination of the names of these two people looks more like the reaction of names in organic chemical synthesis.
The "Mill-Manning Theorem" is described as follows:
Let X be a Banach space and X* be the conjugate space of X, then the following claims are equivalent:
(1) If x*∈S(X*) reaches its norm on S(X), then x* is the ω*concave point of the unit ball B(X*);
(2) X is a strongly smooth space;
(3) Every ω* closed convex set of X* is close to a compact Chebyshev set.
"So Professor Muller, you and Mr. Manning unilaterally claimed to prove this theorem?" Shen Qi asked very curiously.
It's really curious. Thirty years have passed, and the IMU has not recognized the so-called "Muller-Manning theorem".
What is the situation? Mathematicians all over the world have spent more than [-] years and have not yet verified the proof of the "Muller-Manning Theorem"?
"This is the early research result of Manning and I. At that time, we thought it must be correct, but now I find that it is full of loopholes." Professor Muller said sadly, as if he had done a stupid thing 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 before it is thoroughly proved. If I are asked to complete the proof, I think I have a new attempt It can make up for the loopholes, make the proof process as rigorous and perfect as possible, and finally be recognized by the IMU."
Muller said: "Then you try it, and I will work with you to re-do the proof work, the proof work in the 21st century. If we succeed, it will be rewritten as the 'Muller-Shen theorem'."
"What about Mr. Manning? If I take his place, will he have any objections? Or is it more appropriate to change it to the MMS theorem?" Shen Qi made a suggestion, respecting the academic status of the original author.
"This damned bastard...he died ten years ago." Professor Muller said suddenly, gritted his teeth, looking sad and aggrieved.
"May Mr. Manning be well in heaven." Shen Qi expressed regret that a great mathematician died ten years ago.
"Heaven? This bastard must have gone to hell! There is no MMS theorem, only the Muller-Shen theorem, let's start this century-long project, Shen Qi."
(End of this chapter)
"Ouye's TOEFL score is a little lower than mine, GRE is a little bit higher than mine, and her GPA is the same as mine at 4.0."
"My scientific research experience is not as rich as Ouye's. I only published one paper, and I wrote it together with Ouye."
"If Ouye performed normally during the interview, then there should be nothing wrong with me."
Zhou Yu'an explained the domestic situation to Shen Qi.
"Oh, that's it." Shen Qi's guess is the same. With Ouye's verbal expression ability, if she meets a strict interviewer, she may be so nervous that she can't even speak.
After finishing the call with Zhou Yu'an, Shen Qi called Ouye to confirm the situation.
Sure enough, Ouye's written performance was excellent, but the interview was messed up.
During the whole interview, the interviewer from Princeton was almost the one talking, and Ouye occasionally answered a few words.
The interviewer went crazy and gave Ouye the lowest interview score.
"The question he asked is so strange, I, I..." Ouye was about to cry on the other end of the phone.
"Don't be impatient, don't panic, just let me think about it." Shen Qi must not be in a hurry when his woman is in a hurry, if both of them are in a hurry, there is no way out.
"Are you sure that you will continue to apply to the Department of Mathematics of Pudong University next season? I guess it's still a little uncertain, and the interview is stuck there." Shen Qi was a little dignified.
"Then... what should I do?" Ouye lacked social experience, and she was helpless.
"Besides Princeton, did you vote for other American universities?" Shen Qi asked in a calm tone as much as possible.
Ouye: "No."
"You... hey, this is very Ouye." Shen Qi didn't know what to do with Ouye. He walked back and forth in the apartment, thinking about countermeasures: "There is still time, Xiaoye, you listen to me, and give it to the east coast of the United States and around Princeton. Send application documents to other prestigious schools.”
Ouye: "But I want to go to Puda."
"The situation is special, let's take the next best thing, my little leaf! The mathematics departments of New York University and Columbia University are also very strong. New York is very close to Princeton, similar to driving from the capital to Langfang. I can often go to New York to see you, It's 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 problem. I bought a Chevrolet, and the traffic problem has been solved." Shen Qi came up with a compromise .
Suddenly, Shen Qi had an idea: "By the way, our senior brother Gong Changwei is a professor in Columbia University's Department of Mathematics. You can apply for his graduate student! Senior brother Changwei is an expert in number theory, and he just matches your major!"
"Hurry up, Ouye, submit an application essay to Columbia University's Department of Mathematics immediately! If you are lucky, you will be able to go to New York to study in January next year. You will first stay with Brother Changwei for a year or two, and then come to Princeton to study for a Ph.D. Everything is easy to talk about in the United States, and I will help you arrange all the matters of Princeton's Ph.D. I will ask you Ouye, will you listen to me?"
"Listen, I listen to you."
The young couple reached an agreement, and Ouye first went to Columbia University to study as a graduate student, and then came to Princeton to study for a Ph.D.
There is no way, who made Ouye unable to pass the interview.
This kind of curve-saving strategy to save love is the best strategy Shen Qi can think of so far.
So here comes the question, Columbia University in New York City is also an Ivy League school, so they will definitely give Ouye a passing grade in the interview?
This takes a little bit of digging.
"Professor Muller, I don't know if there is such a system, that is, you personally act as the interviewer to interview a Chinese student? She is a very good math genius." Shen Qi did not give up, he made two-handed preparations , immediately found Professor Muller, and wanted Professor Muller to directly recruit Ouye to Princeton.
"Unfortunately, Shen Qi, there is no such regulation, at least not in Princeton. The admissions systems of New York University and Columbia University are more flexible, you can let her try." Professor Muller explained, for the admission of foreign undergraduates Students who come to Pudong University to study in graduate school, the professors of the school only evaluate the student's written academic performance, and do not participate in the interview. The interview is organized by a professional interviewer.
Shen Qi has Gong Changwei's contact information, and they exchanged business cards when they held the "Ivy League Number Theory Seminar" last year.
Before contacting Gong Changwei, Shen Qi first greeted Sun Erxiong and asked Sun Erxiong to help him.
When Gong Changwei heard about this situation, he immediately made a decision. Ouye 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". Big read my graduate student, I interview her in person, video interview.
Shen Qi is relieved, Gong Changwei will be the interviewer himself, at least he will not intentionally make things difficult for Master Yan.
Moreover, Ouye's written grades are here, and she is a calculation girl who focuses on number theory. It is very suitable for her to learn from number theory expert Gong Changwei.
In September, Shen Qi became a doctoral candidate in the Department of Mathematics of Princeton University.
At the same time in China, Ouye and Zhou Yu'an are entering their senior year. They are making preparations respectively and are going to report to Columbia University and Princeton University in January next year.
While waiting for Ouye, Shen Qi decided to do some meaningful and interesting academic research.
This interesting idea came from an accidental discovery.
Shen Qi was looking for a paper published by Faltings in the early 80s. In this paper, Faltings proved a theorem, which laid the foundation for him to prove Model's conjecture a year later.
It is precisely because of the proof of Model's conjecture that Faltings was a smash hit in the 80s and won the Fields Medal.
Faltins is currently at Princeton and is the editor-in-chief of the Annals of Mathematics.
Shen Qi was looking for the old paper of Daniel Faltings in order to do a meaningful research, and he needed to cite this paper of Faltings as a material.
In this mathematics journal published in the early 80s, Shen Qi discovered an interesting secret, which was another paper.
The authors of this interesting paper are Alan Muller and Tony Manning.
Shen Qi didn't know who Tony Manning was, but he knew that Alan Muller was his master's tutor + doctoral tutor, Professor Muller.
Alan Muller and Tony Manning, two mathematical researchers, jointly published this paper in 1982 on the study of Banach spaces.
Banach spaces are a hot research direction, and have been for decades.
In this paper on Banach spaces, Alan Muller and Tony Manning claimed that they had proved a remarkable theorem, which they named "Muller-Manning Theorem".
However, in Shen Qi's impression, he has never heard of the mathematical theorems related to "Muller-Manning". The combination of the names of these two people looks more like the reaction of names in organic chemical synthesis.
The "Mill-Manning Theorem" is described as follows:
Let X be a Banach space and X* be the conjugate space of X, then the following claims are equivalent:
(1) If x*∈S(X*) reaches its norm on S(X), then x* is the ω*concave point of the unit ball B(X*);
(2) X is a strongly smooth space;
(3) Every ω* closed convex set of X* is close to a compact Chebyshev set.
"So Professor Muller, you and Mr. Manning unilaterally claimed to prove this theorem?" Shen Qi asked very curiously.
It's really curious. Thirty years have passed, and the IMU has not recognized the so-called "Muller-Manning theorem".
What is the situation? Mathematicians all over the world have spent more than [-] years and have not yet verified the proof of the "Muller-Manning Theorem"?
"This is the early research result of Manning and I. At that time, we thought it must be correct, but now I find that it is full of loopholes." Professor Muller said sadly, as if he had done a stupid thing 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 before it is thoroughly proved. If I are asked to complete the proof, I think I have a new attempt It can make up for the loopholes, make the proof process as rigorous and perfect as possible, and finally be recognized by the IMU."
Muller said: "Then you try it, and I will work with you to re-do the proof work, the proof work in the 21st century. If we succeed, it will be rewritten as the 'Muller-Shen theorem'."
"What about Mr. Manning? If I take his place, will he have any objections? Or is it more appropriate to change it to the MMS theorem?" Shen Qi made a suggestion, respecting the academic status of the original author.
"This damned bastard...he died ten years ago." Professor Muller said suddenly, gritted his teeth, looking sad and aggrieved.
"May Mr. Manning be well in heaven." Shen Qi expressed regret that a great mathematician died ten years ago.
"Heaven? This bastard must have gone to hell! There is no MMS theorem, only the Muller-Shen theorem, let's start this century-long project, Shen Qi."
(End of this chapter)
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