The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
"I seem to know what's wrong..."
For example, write a letter of recommendation or something.
It is no exaggeration to say that as soon as the paper is published, his name will definitely appear on the list of the Thousand Talents Plan.
"No, but we have achieved some initial results," Lu Zhou continued after a pause, "But what I am here to talk about today is not this, but the topic of our Kakutani conjecture."
After reading the paper from beginning to end, Professor Fefferman raised his eyes and looked at Lu Zhou: "How did you come up with the idea?"
"I seem to know what's wrong..."
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
As usual, his students are here.
Except for Hardy, Vera had already told Lu Zhou about her plans years ago, and even the application form had been handed over to him. Needless to say, Qin Yue also plans to continue his studies at Princeton.
The only difference lies in the construction of the B' bilinear operator that satisfies the elimination property 〈B'(μ,μ),μ〉=0. Professor Fefferman used a very clever method. This newly constructed B' is already very close to the original operator B.
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
A conference room with a blackboard at the Institute for Advanced Study.
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
As for whether to recruit a few more students...
As for whether to recruit a few more students...
The little girl opened her mouth slightly and said in a surprised tone: "Professor, your retreat is over?"
"No, but we have achieved some initial results," Lu Zhou continued after a pause, "But what I am here to talk about today is not this, but the topic of our Kakutani conjecture."
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
Vera was the first to speak.
"I seem to know what's wrong..."
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
The little girl opened her mouth slightly and said in a surprised tone: "Professor, your retreat is over?"
Bang bang bang bang—
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
Vera was the first to speak.
"That's right..." He glanced at Vera and then at Hardy next to him. He could see the shock on the faces of the students. Lu Zhou couldn't help but asked in confusion, "Why are you looking at me like that?"
Professor Fefferman glanced at Lu Zhou in surprise: "That's really surprising... It seems that I will have to go there more in the future."
Lu Zhou did not answer, but went straight to the point and asked, "What do you think about this method?"
Jericho, who was sitting not far from Hardy, whispered: "Because you are usually willing to come out of the house, you are probably successful..."
Jericho, who was sitting not far from Hardy, whispered: "Because you are usually willing to come out of the house, you are probably successful..."
After a pause, Lu Zhou continued.
Lu Zhou did not answer, but went straight to the point and asked, "What do you think about this method?"
…
As usual, his students are here.
After a pause, Lu Zhou continued.
Regarding the research results of more than a month, he had a lot to communicate with this partner...
Wei Wen looked solemn: "In other words, the Millennium Problem of the NS equation... have you solved it?"
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
For example, write a letter of recommendation or something.
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
"As I said before, the proof of Kakutani's conjecture is your graduation thesis. Although I originally expected you to make a small improvement based on previous research, I did not expect that you could actually complete the entire conjecture. It has been proven. I have to say, your performance really surprised me."
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
Vera was the first to speak.
"No, but we have achieved some initial results," Lu Zhou continued after a pause, "But what I am here to talk about today is not this, but the topic of our Kakutani conjecture."
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
For example, write a letter of recommendation or something.
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
"I seem to know what's wrong..."
Vera was the first to speak.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
However…
After reading the paper from beginning to end, Professor Fefferman raised his eyes and looked at Lu Zhou: "How did you come up with the idea?"
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
Especially Wei Wen looked at Qin Yue with envy.
The only difference lies in the construction of the B' bilinear operator that satisfies the elimination property 〈B'(μ,μ),μ〉=0. Professor Fefferman used a very clever method. This newly constructed B' is already very close to the original operator B.
Except for Hardy, Vera had already told Lu Zhou about her plans years ago, and even the application form had been handed over to him. Needless to say, Qin Yue also plans to continue his studies at Princeton.
[…]
Except for Hardy, Vera had already told Lu Zhou about her plans years ago, and even the application form had been handed over to him. Needless to say, Qin Yue also plans to continue his studies at Princeton.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
When they heard that the reviewer was Peter Sanak, Vera and others showed surprised expressions on their faces.
Regardless of whether Qin Yue plans to continue his studies or return to China to teach or engage in academic research, domestic universities will offer a price that most people cannot refuse.
"No, but we have achieved some initial results," Lu Zhou continued after a pause, "But what I am here to talk about today is not this, but the topic of our Kakutani conjecture."
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
A conference room with a blackboard at the Institute for Advanced Study.
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
In academia, a letter of recommendation signed by a well-known scholar can often play a crucial role in the interview. Even if the interviewer's first impression of the interviewer is not good, he will seriously consider the recommender's opinion...
Bang bang bang bang—
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
…
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
…
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
After a pause, Lu Zhou continued.
A conference room with a blackboard at the Institute for Advanced Study.
Wei Wen looked solemn: "In other words, the Millennium Problem of the NS equation... have you solved it?"
Vera was the first to speak.
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
…
Wei Wen looked solemn: "In other words, the Millennium Problem of the NS equation... have you solved it?"
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
"As I said before, the proof of Kakutani's conjecture is your graduation thesis. Although I originally expected you to make a small improvement based on previous research, I did not expect that you could actually complete the entire conjecture. It has been proven. I have to say, your performance really surprised me."
A conference room with a blackboard at the Institute for Advanced Study.
The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
After a pause, Lu Zhou continued.
For example, write a letter of recommendation or something.
Qin Yue smiled sheepishly: "It's mainly thanks to the mathematical tools you provided. It's impossible to do it with our strength alone."
Vera was the first to speak.
I always feel like something is missing.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
[…]
The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
Lu Zhou shook his head: "No matter whether the tool is easy to use or not, it needs a smart person to use it. You are very talented, so don't belittle yourselves. I also wish you that you can continue on the path of number theory in the future and continue to improve your skills." and greater achievements in the promising field of property and number theory."
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
For example, write a letter of recommendation or something.
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
"I seem to know what's wrong..."
Qin Yue smiled sheepishly: "It's mainly thanks to the mathematical tools you provided. It's impossible to do it with our strength alone."
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
After a pause, he looked slightly calmer and continued.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
As usual, his students are here.
I always feel like something is missing.
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
"That's right..." He glanced at Vera and then at Hardy next to him. He could see the shock on the faces of the students. Lu Zhou couldn't help but asked in confusion, "Why are you looking at me like that?"
"I seem to know what's wrong..."
"As of today, you graduate!"
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
I always feel like something is missing.
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
Regarding the research results of more than a month, he had a lot to communicate with this partner...
…
Lu Zhou: “I was inspired when I was running next to Carnegie Lake.”
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
Bang bang bang bang—
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
Vera was the first to speak.
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
Especially Wei Wen looked at Qin Yue with envy.
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Regardless of whether Qin Yue plans to continue his studies or return to China to teach or engage in academic research, domestic universities will offer a price that most people cannot refuse.
It is no exaggeration to say that as soon as the paper is published, his name will definitely appear on the list of the Thousand Talents Plan.
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
Being able to publish a paper in a top journal like the "Annals of Mathematics", and it is a paper on the proof of a major mathematical proposition such as the "Kakutani Conjecture"...
Whether his students plan to continue their studies, or plan to work in a graduate school or university, he will provide them with help to the best of his ability.
"Differential manifolds... seem a bit interesting."
Jericho, who was sitting not far from Hardy, whispered: "Because you are usually willing to come out of the house, you are probably successful..."
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
Lu Zhou: “I was inspired when I was running next to Carnegie Lake.”
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
It is no exaggeration to say that as soon as the paper is published, his name will definitely appear on the list of the Thousand Talents Plan.
"As I said before, the proof of Kakutani's conjecture is your graduation thesis. Although I originally expected you to make a small improvement based on previous research, I did not expect that you could actually complete the entire conjecture. It has been proven. I have to say, your performance really surprised me."
The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
Regardless of whether Qin Yue plans to continue his studies or return to China to teach or engage in academic research, domestic universities will offer a price that most people cannot refuse.
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
Lu Zhou did not answer, but went straight to the point and asked, "What do you think about this method?"
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
When they heard that the reviewer was Peter Sanak, Vera and others showed surprised expressions on their faces.
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
"Differential manifolds... seem a bit interesting."
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
Vera was the first to speak.
Although the student Hardy is a bit skinny, his ability is still good.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Wei Wen looked solemn: "In other words, the Millennium Problem of the NS equation... have you solved it?"
Whether his students plan to continue their studies, or plan to work in a graduate school or university, he will provide them with help to the best of his ability.
"That's right..." He glanced at Vera and then at Hardy next to him. He could see the shock on the faces of the students. Lu Zhou couldn't help but asked in confusion, "Why are you looking at me like that?"
Qin Yue smiled sheepishly: "It's mainly thanks to the mathematical tools you provided. It's impossible to do it with our strength alone."
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
However…
For example, write a letter of recommendation or something.
As usual, his students are here.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
In academia, a letter of recommendation signed by a well-known scholar can often play a crucial role in the interview. Even if the interviewer's first impression of the interviewer is not good, he will seriously consider the recommender's opinion...
However…
Vera was the first to speak.
The little girl opened her mouth slightly and said in a surprised tone: "Professor, your retreat is over?"
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
The little girl opened her mouth slightly and said in a surprised tone: "Professor, your retreat is over?"
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Lu Zhou did not answer, but went straight to the point and asked, "What do you think about this method?"
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
Bang bang bang bang—
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
"As I said before, the proof of Kakutani's conjecture is your graduation thesis. Although I originally expected you to make a small improvement based on previous research, I did not expect that you could actually complete the entire conjecture. It has been proven. I have to say, your performance really surprised me."
Although the student Hardy is a bit skinny, his ability is still good.
"Differential manifolds... seem a bit interesting."
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
[…]
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
After a pause, he looked slightly calmer and continued.
The next day, after finishing his retreat, Lu Zhou came to the office of the Institute for Advanced Study in Princeton.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
Regarding the research results of more than a month, he had a lot to communicate with this partner...
However…
Especially Wei Wen looked at Qin Yue with envy.
"I seem to know what's wrong..."
In academia, a letter of recommendation signed by a well-known scholar can often play a crucial role in the interview. Even if the interviewer's first impression of the interviewer is not good, he will seriously consider the recommender's opinion...
In academia, a letter of recommendation signed by a well-known scholar can often play a crucial role in the interview. Even if the interviewer's first impression of the interviewer is not good, he will seriously consider the recommender's opinion...
Except for Hardy, Vera had already told Lu Zhou about her plans years ago, and even the application form had been handed over to him. Needless to say, Qin Yue also plans to continue his studies at Princeton.
"That's right..." He glanced at Vera and then at Hardy next to him. He could see the shock on the faces of the students. Lu Zhou couldn't help but asked in confusion, "Why are you looking at me like that?"
As usual, his students are here.
The calculation process is very similar to that of more than a month ago, and the entire calculation framework is still the same.
After a pause, he looked slightly calmer and continued.
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
After a pause, he looked slightly calmer and continued.
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
I always feel like something is missing.
"Differential manifolds... seem a bit interesting."
As for whether to recruit a few more students...
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Although the student Hardy is a bit skinny, his ability is still good.
Professor Fefferman glanced at Lu Zhou in surprise: "That's really surprising... It seems that I will have to go there more in the future."
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
Except for Hardy, Vera had already told Lu Zhou about her plans years ago, and even the application form had been handed over to him. Needless to say, Qin Yue also plans to continue his studies at Princeton.
"No, but we have achieved some initial results," Lu Zhou continued after a pause, "But what I am here to talk about today is not this, but the topic of our Kakutani conjecture."
As usual, his students are here.
When they heard that the reviewer was Peter Sanak, Vera and others showed surprised expressions on their faces.
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
"Differential manifolds... seem a bit interesting."
[…]
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
Regarding the research results of more than a month, he had a lot to communicate with this partner...
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
Especially Wei Wen looked at Qin Yue with envy.
Being able to publish a paper in a top journal like the "Annals of Mathematics", and it is a paper on the proof of a major mathematical proposition such as the "Kakutani Conjecture"...
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
"Differential manifolds... seem a bit interesting."
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
For example, write a letter of recommendation or something.
"Differential manifolds... seem a bit interesting."
…
As for whether to recruit a few more students...
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
Bang bang bang bang—
The calculation process is very similar to that of more than a month ago, and the entire calculation framework is still the same.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
A conference room with a blackboard at the Institute for Advanced Study.
"I seem to know what's wrong..."
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
A conference room with a blackboard at the Institute for Advanced Study.
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
As usual, his students are here.
Being able to publish a paper in a top journal like the "Annals of Mathematics", and it is a paper on the proof of a major mathematical proposition such as the "Kakutani Conjecture"...
The office remembered the applause, and it was Jericho and Wei Wen who applauded.
"Differential manifolds... seem a bit interesting."
Lu Zhou shook his head: "No matter whether the tool is easy to use or not, it needs a smart person to use it. You are very talented, so don't belittle yourselves. I also wish you that you can continue on the path of number theory in the future and continue to improve your skills." and greater achievements in the promising field of property and number theory."
"As of today, you graduate!"
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
Jericho, who was sitting not far from Hardy, whispered: "Because you are usually willing to come out of the house, you are probably successful..."
"Differential manifolds... seem a bit interesting."
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
But Professor Fefferman has not done any research in this area, so he cannot immediately give Lu Zhou a positive or negative answer.
Whether his students plan to continue their studies, or plan to work in a graduate school or university, he will provide them with help to the best of his ability.
Being able to publish a paper in a top journal like the "Annals of Mathematics", and it is a paper on the proof of a major mathematical proposition such as the "Kakutani Conjecture"...
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
After reading the paper from beginning to end, Professor Fefferman raised his eyes and looked at Lu Zhou: "How did you come up with the idea?"
After a pause, he looked slightly calmer and continued.
[…]
Lu Zhou: “I was inspired when I was running next to Carnegie Lake.”
"That's right..." He glanced at Vera and then at Hardy next to him. He could see the shock on the faces of the students. Lu Zhou couldn't help but asked in confusion, "Why are you looking at me like that?"
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
Professor Fefferman glanced at Lu Zhou in surprise: "That's really surprising... It seems that I will have to go there more in the future."
It is no exaggeration to say that as soon as the paper is published, his name will definitely appear on the list of the Thousand Talents Plan.
"Differential manifolds... seem a bit interesting."
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
"Differential manifolds... seem a bit interesting."
Lu Zhou did not answer, but went straight to the point and asked, "What do you think about this method?"
Hardy smiled sheepishly: "Professor, if you are still willing to take me in, of course I am willing to continue my studies with you."
Compared with the method of abstract proof, using differential manifolds to study NS equations is undoubtedly a novel idea. Introducing topological methods into partial differential equations seems feasible.
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
The only difference lies in the construction of the B' bilinear operator that satisfies the elimination property 〈B'(μ,μ),μ〉=0. Professor Fefferman used a very clever method. This newly constructed B' is already very close to the original operator B.
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
But Professor Fefferman has not done any research in this area, so he cannot immediately give Lu Zhou a positive or negative answer.
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
For example, write a letter of recommendation or something.
Qin Yue smiled sheepishly: "It's mainly thanks to the mathematical tools you provided. It's impossible to do it with our strength alone."
After reading Lu Zhou's manuscript, Professor Fefferman rubbed the stubble on his chin with his index finger and said thoughtfully.
Those who can enroll in the Princeton Mathematics Department for a master's degree are basically extremely talented in their respective research fields, and the so-called strength gap is just the difference between stronger and stronger.
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
After the students' affairs were arranged, Lu Zhou made an appointment with Professor Fefferman.
After a pause, he looked slightly calmer and continued.
When they saw Lu Zhou appear at the door of the office, everyone's faces showed surprise.
Professor Fefferman glanced at Lu Zhou in surprise: "That's really surprising... It seems that I will have to go there more in the future."
For example, write a letter of recommendation or something.
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
[…]
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
Although the student Hardy is a bit skinny, his ability is still good.
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
As usual, his students are here.
Lu Zhou said pleasantly: "Why don't you want to? If you want to apply for my doctorate, of course I welcome it."
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
Although the student Hardy is a bit skinny, his ability is still good.
Without exception, the three students chose to enter higher education. After the relevant procedures are completed, Lu Zhou's research team at Princeton will become a postdoctoral fellow in computational materials, as well as three PhDs and two masters.
The calculation process is very similar to that of more than a month ago, and the entire calculation framework is still the same.
The little girl opened her mouth slightly and said in a surprised tone: "Professor, your retreat is over?"
"I don't know. I admit that the idea you provided is very interesting, but I still prefer the abstract proof method." Professor Fefferman sighed, picked up the chalk and continued writing on the blackboard, "This has been more than a month. Come, I tried to improve the bilinear operator B' we constructed previously, and this construction quantity is already very close to the Euler linear operator B in μ(t)."
For example, write a letter of recommendation or something.
The only difference lies in the construction of the B' bilinear operator that satisfies the elimination property 〈B'(μ,μ),μ〉=0. Professor Fefferman used a very clever method. This newly constructed B' is already very close to the original operator B.
Although the student Hardy is a bit skinny, his ability is still good.
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
It depends on the quality of this batch of freshmen and whether there are enough talents to arouse his interest.
However…
Especially Wei Wen looked at Qin Yue with envy.
The only difference lies in the construction of the B' bilinear operator that satisfies the elimination property 〈B'(μ,μ),μ〉=0. Professor Fefferman used a very clever method. This newly constructed B' is already very close to the original operator B.
Not only that, this great man is also the editor of the "Annals of Mathematics". His name was one of the six reviewers of Lu Zhou's paper on "Proof of Goldbach-Lu Theorem".
But Professor Fefferman has not done any research in this area, so he cannot immediately give Lu Zhou a positive or negative answer.
Vera was the first to speak.
I always feel like something is missing.
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
Lu Zhou: “I was inspired when I was running next to Carnegie Lake.”
For example, write a letter of recommendation or something.
Recalling the discussion more than a month ago, and comparing the steps presented in front of him, Lu Zhou suddenly frowned slightly, and read a hint of unnatural contradiction in those calculations...
Whether his students plan to continue their studies, or plan to work in a graduate school or university, he will provide them with help to the best of his ability.
Vera was the first to speak.
"Yes, your paper was completed very well. Professor Peter Sarnaik, who reviewed it for you, spoke very highly of you." Lu Zhou smiled and nodded, "Your paper will be published soon." Published in the latest edition of Annals of Mathematics.”
As usual, his students are here.
But Professor Fefferman has not done any research in this area, so he cannot immediately give Lu Zhou a positive or negative answer.
The calculation process is very similar to that of more than a month ago, and the entire calculation framework is still the same.
After staring at the blackboard for a long time, Lu Zhou suddenly spoke.
Qin Yue, who had been silent, asked: "Has the "Annual Review of Mathematics" replied?"
After reading the paper from beginning to end, Professor Fefferman raised his eyes and looked at Lu Zhou: "How did you come up with the idea?"
Wei Wen looked solemn: "In other words, the Millennium Problem of the NS equation... have you solved it?"
Lu Zhou: “I was inspired when I was running next to Carnegie Lake.”
"I seem to know what's wrong..."
In the world of contemporary mathematics, Professor Sarnaik can be said to be one of the leaders in modern number theory. After staying in Princeton for so long, it was obviously impossible for them not to have heard of this great man's name.
After a pause, Lu Zhou looked at his three students and continued, "I want to hear your plans for your future."