I reach the pinnacle of life by learning
Chapter 152
Yanda also has similar make-up lessons for preparations.
It is impossible for the two universities to fight openly and secretly for decades without any unique skills.
Qiao Yu doesn't need to make up lessons, but he recently picked a thesis topic given by the system, and for this research, sometimes it is inevitable that he needs the help of others.
At the top, Professor Tian Cheng is teaching Eisenstein's discriminant method. As a leading figure in domestic algebraic geometry, his lectures are profound and simple, which has benefited a lot of undergraduates.
Qiao Yu was sitting in the last row, with a pensive face, writing and drawing on the surface diagram on the paper.
Soon, a piece of draft paper was filled with messy calculations.Occasionally there are a few lines of comments to aid in thinking.
Tian Cheng spoke for 10 minutes, took out water to moisten his throat, and then said: "I asked the assistant to send out the practice questions before, you take them out to consolidate."
A group of academic masters bent over their desks one after another and began to write.
Even if you don't know how to do it, you can't fall behind others in terms of momentum.
Only Su Mingyang started scratching his head at the practice questions.
He majored in biology in college, but he was very lacking in mathematics.However, he applied for the Hua Luogeng Award (analysis and differential equations) and the Zhou Weiliang Award (algebra, geometry, and number theory) without fear of death, and now he is the only one who can't keep up with the progress.
He couldn't help but move his gaze to Qiao Yu beside him.
Su Mingyang wanted to ask Qiao Yu to give him a lecture, but he was timid, so he could only stare at his side face eagerly, hoping that the other party would find out because he was his younger brother Duan Shui.
But Qiao Yu didn't, he wrote very seriously.His brows were frowned in a rare way, and he occasionally ground his lower lip with his teeth, and the light-colored lips turned bright red from his biting.
Su Mingyang looked boldly at Qiao Yu's draft paper.
"At least when K/Qp is finite non-branching, the correspondence between GL2(k) representations and two-dimensional curves..."
Grass?WTF? ?
Aren't they doing the same paper?
At some point, Tian Cheng came behind Qiao Yu.
Jiang is indeed old and hot, Tian Cheng waited for him to stop writing, and said, "Are you studying Shimura Cluster?"
Even in the fields of algebra and number theory, Shimura clusters are unpopular among the unpopular ones, proposed by the island country mathematician Goro Shimura in the 50s.
It is a very special algebraic variety, which can be considered as an analogous model of curves at high latitudes.
Tian Cheng will notice it, the first reason is that he has extensively studied various theories in the field of algebraic geometry; the second reason is that some mathematicians speculate that Shimura clusters are moduli spaces of certain Hodge structures.
The name Hodge structure is relatively unfamiliar, but if it is replaced by Hodge conjecture, most people majoring in mathematics will probably understand it.
"Yes." Qiao Yu had nothing to hide, "I want to study the multiplicity of ModP cohomology under the Shimura curve."
Tian Cheng thought about it for a while, and found that he didn't have any decent thoughts at the first time when he heard a thesis topic.
He had to drink water to relieve his embarrassment: "This is not easy to do. Among all algebraic varieties, the Shimura variety belongs to the weird and difficult one."
Qiao Yu gave a "hmm" and replied, "Try, there's nothing to do anyway."
Su Mingyang shrank aside, looking at the basic competition questions on the paper, feeling as small as a speck of dust.
The students of Yenching University were dissatisfied with the setting up of Qingguang University instead of Yenching University.
But Mr. Qiu is an honorary professor of Tsinghua University after all, such an arrangement is completely understandable.
Knowing that Qiao Yu was coming, Zheng Qinghua woke up early.
When he was in high school, he felt that Qiao Yuchang was precocious, like someone in his early twenties.
Now that I have studied mathematics for a year, I already look like a person in his early thirties. Qiao Yu is engaged in academics every day, but he still looks like he is in his early twenties, which makes Zheng Qinghua very embarrassed.
He touched his head, which was becoming brighter, and said, "Qiao Er, I think if you work harder, I will be able to apply for your postgraduate examination when I graduate from university."
Zheng Qinghua originally thought that Qiao Yu would be more polite.
In the end, Qiao Yu said, "You may not pass the exam if you work hard."
Zheng Qinghua was speechless for a while: "The preliminary round will be held later. I came here as a freshman to gain experience. Our school's main team is all juniors and seniors. Our dean said that whoever scores higher than you will protect him research."
Qiao Yu couldn't help smiling slightly: "Then your dean may not need to recruit graduate students this year."
Out of a weak sense of honor for his school, Zheng Qinghua retorted: "You can just say what you say in Yanda University. In our place, be careful of being covered with sacks. Qingda Mathematics Institute also has very powerful bosses, such as Yangshen and Wei Wei. God, I have started to independently publish papers in SCI journals since my sophomore year..."
His voice is getting smaller and smaller.
After all, there are many SCI journals.
The "Acta Mathematica Sinica" published by Qiao Yu is also an SCI journal, which is completely crushing level.
But Zheng Qinghua quickly cheered up: "There are four individual events in this competition, there must be one or two that you are not very familiar with!"
Qiao Yu thought for a moment: "Indeed. I don't know statistics very well."
There are too many nouns like models and various distributions.
Fortunately, this kind of mathematics learning can only be done with hands, and it is almost the same if you use the formulas to calculate.
Qiao Yu spent a whole night endorsing the book.
A Tsinghua University student who happened to pass by felt ecstasy in his heart at this moment.
The project he reported was Statistics and Applied Mathematics.Doesn't it look like a good chance?
However, he didn't know how naive his thoughts were until he met Qiao Yu in the examination room.
When he was only halfway through the test paper, the other party had already got up to hand in the paper.
It's like a joke.
If Qiao Yu, who had just finished the college entrance examination, were to participate in the Qiu competition, it might indeed be a bit difficult.
After all, the way of thinking in high school and university is very different. High school pays more attention to the cultivation of foundation, while the knowledge of university is much wider.
But now Qiao Yu has studied for another whole year.
During the whole year, he was carefully cultivated by all the teachers as the "light of the school". He went to Wu Zhitian's office more often than the head teacher's office, and there was a progressive study plan prepared for him by the system.
Every day from six in the morning to ten in the evening.On average, a full thirteen hours are spent on learning knowledge every day.And it was thirteen hours of total dedication.
Qiao Yu can proudly touch his conscience and say that he has never wasted a single day.
In addition to falling in love with Song Tianyu, it may have killed about 50 hours in total... But this is also to restore the mood. Humans are social animals. No matter how withdrawn and paranoid Qiao Yu is, as a normal adult male mammal, he also has emotional needs of.
In the past year, the breadth and depth of Qiao Yu's understanding has made a qualitative leap.
To participate in the Qiu competition again is like a college student going back to do elementary school math problems.
The competition system of the Qiu competition is very special. The preliminary round is a written test, and the final is an oral test.
The final score is determined by a combination of written and oral exam scores.The score is still the national pull pass ranking.
And only those who scored in the top 13 in each subject in the preliminary competition can receive the invitation to the final.
Even if there are no duplicate quotas, only 52 of the hundreds of people participating each year can enter the finals.
The only gratification is that as long as they enter the finals, there will be 1 gold medal, 3 silver medals and 6 bronze medals for each project.More than half of the people will not return empty-handed.
With the unremitting efforts of the teachers of each school, it only took a week for the final list to be announced on the official website.
Although I had expected in my heart for a long time, the four "Yenjing University Qiao Yu" were in the same row, which was still very shocking.
Zheng Qinghua felt that Qiao Yu hadn't lied to him.
His statistics are indeed not good enough, only 2 points higher than No.2.Like number theory and calculus, each subject is at least [-] points higher than No.[-]...
Several "God Xs" who were highly expected from Qing University got together and saw the news at the same time.
"He's not human."
"It's not necessary, there's really no need to compare with Qiao Yu, we can just compare with ourselves."
Among them, one named Yangshen, looked very painful: "I know there is a gap with him, but why is it so big... Do you have to admit the false proposition of talent, I am not willing!"
In high school, they firmly believe that they are number one.
When you go to university, although you are not the first, you can still be in the top three.
But when facing Qiao Yu, there seemed to be no difference whether it was first or second.
Xu Tianyang also met the legendary Qiao Yu during the final.
This is the Morningstar Mathematical Center, the national mathematics highland.The students who entered the finals got their numbers and went to different rooms one by one for oral exams.
In fact, there were only about 40 classmates who entered the finals, but compared to the 4 judges for each subject, it was still too many.
A group of young people chattered and waited in the conference room. After their mobile phones were confiscated, they seemed to regard this place as a social occasion.
Only Qiao Yu sat alone on the side, his eyes were empty, and he was still wearing a suit.
No way, Zheng Qinghua, Qun Chengguang and Su Mingyang all failed to make it to the finals, he was not familiar with the others.
However, most of the first-year students who come to participate in the competition have accumulated experience, and there are only a few of them who can enter the finals like him.
Some of the contestants also wore suits, and they were all college students, so it doesn't matter if you want to be more formal.
Just paired with a childish and innocent expression, it looks like a graduate going to a company for an interview for the first time.
But Qiao Yu gave people a different feeling.
If someone told Xu Tianyang that the other party just got off some business reception, he would also believe it.
Xu Tianyang hesitated for a long time, and took the initiative to walk in front of Qiao Yu: "Hi, I'm Xu Tianyang from Tsinghua University. I once published a paper on ARMA as my first work. I'm a senior this year."
"ARMA is already a top mathematics journal in the field of analysis and equations. It's great that you can publish papers on it." Qiao Yu stood up, shook hands politely, and replied: "Hello, Qiao Yu .”
After he stood up, Xu Tianyang realized that Qiao Yu was quite tall, at least 1.8 meters high.
Xu Tianyang originally wanted to ask a lot of questions, asking him how he learned, or expressing his admiration, or else he should ask for his contact information, but he said, "You look very lonely."
There was a hint of surprise on Qiao Yu's face, and then he smiled suddenly: "Maybe it's because the indoor light is not good."
Coincidentally, at this time the staff called his name.
"I'm going to take the oral exam, excuse me."
Xu Tianyang couldn't wait for Qiao Yu to come out, because soon he was also called for an interview.
His interviewer was from MIT, he was fluent in English and had a very gentle attitude.The other party said don't be too nervous, just chat with him.
Xu Tianyang thinks that his English is good, but in this one-on-one communication situation, it is inevitable that he has to respond for a few seconds longer.
After leaving the small black room, Xu Tianyang felt annoyed for a while.
Usually he can speak eloquently, but when he met the professor at MIT, his thinking was not very clear. When discussing differential equations with the other party, he didn't even use half of what he knew.
I heard that Qiao Yu has participated in several international academic conferences, this level should not trouble him, right?
Xu Tianyang couldn't help thinking this way, but unfortunately, after the interview, he was invited out of the waiting room, and he couldn't see Qiao Yu coming out.
See you again, the award ceremony will be two days later.
Four gold medals.The record is impressive.
Yanda's team leader has been laughing all night.
The words of the students of Yan University became a prophecy, and they really only deserved to grab the second place.
Even the seating arrangement is different.Qiao Yu's location is not in the student area at all.
He was sitting next to Professor Hilton, and the chairman of the competition committee was looking forward to the future. The two of them wrote and drew on a piece of paper.
It made other participating students envious.
Xu Tianyang thought of some small things in his mind.
He won the IMO gold medal in his second year of high school and was recommended to Tsinghua University. In his third year of high school, he began to understand differential equations based on his own interest.
At that time, he was in the classroom and didn't attend classes. He often studied all day long with earplugs.It was dark when I came back to my senses.
Recalling my senior year in high school, are you lonely?
Not will.
A mediocre person will feel lonely because he doesn't fit in.
It is impossible for the two universities to fight openly and secretly for decades without any unique skills.
Qiao Yu doesn't need to make up lessons, but he recently picked a thesis topic given by the system, and for this research, sometimes it is inevitable that he needs the help of others.
At the top, Professor Tian Cheng is teaching Eisenstein's discriminant method. As a leading figure in domestic algebraic geometry, his lectures are profound and simple, which has benefited a lot of undergraduates.
Qiao Yu was sitting in the last row, with a pensive face, writing and drawing on the surface diagram on the paper.
Soon, a piece of draft paper was filled with messy calculations.Occasionally there are a few lines of comments to aid in thinking.
Tian Cheng spoke for 10 minutes, took out water to moisten his throat, and then said: "I asked the assistant to send out the practice questions before, you take them out to consolidate."
A group of academic masters bent over their desks one after another and began to write.
Even if you don't know how to do it, you can't fall behind others in terms of momentum.
Only Su Mingyang started scratching his head at the practice questions.
He majored in biology in college, but he was very lacking in mathematics.However, he applied for the Hua Luogeng Award (analysis and differential equations) and the Zhou Weiliang Award (algebra, geometry, and number theory) without fear of death, and now he is the only one who can't keep up with the progress.
He couldn't help but move his gaze to Qiao Yu beside him.
Su Mingyang wanted to ask Qiao Yu to give him a lecture, but he was timid, so he could only stare at his side face eagerly, hoping that the other party would find out because he was his younger brother Duan Shui.
But Qiao Yu didn't, he wrote very seriously.His brows were frowned in a rare way, and he occasionally ground his lower lip with his teeth, and the light-colored lips turned bright red from his biting.
Su Mingyang looked boldly at Qiao Yu's draft paper.
"At least when K/Qp is finite non-branching, the correspondence between GL2(k) representations and two-dimensional curves..."
Grass?WTF? ?
Aren't they doing the same paper?
At some point, Tian Cheng came behind Qiao Yu.
Jiang is indeed old and hot, Tian Cheng waited for him to stop writing, and said, "Are you studying Shimura Cluster?"
Even in the fields of algebra and number theory, Shimura clusters are unpopular among the unpopular ones, proposed by the island country mathematician Goro Shimura in the 50s.
It is a very special algebraic variety, which can be considered as an analogous model of curves at high latitudes.
Tian Cheng will notice it, the first reason is that he has extensively studied various theories in the field of algebraic geometry; the second reason is that some mathematicians speculate that Shimura clusters are moduli spaces of certain Hodge structures.
The name Hodge structure is relatively unfamiliar, but if it is replaced by Hodge conjecture, most people majoring in mathematics will probably understand it.
"Yes." Qiao Yu had nothing to hide, "I want to study the multiplicity of ModP cohomology under the Shimura curve."
Tian Cheng thought about it for a while, and found that he didn't have any decent thoughts at the first time when he heard a thesis topic.
He had to drink water to relieve his embarrassment: "This is not easy to do. Among all algebraic varieties, the Shimura variety belongs to the weird and difficult one."
Qiao Yu gave a "hmm" and replied, "Try, there's nothing to do anyway."
Su Mingyang shrank aside, looking at the basic competition questions on the paper, feeling as small as a speck of dust.
The students of Yenching University were dissatisfied with the setting up of Qingguang University instead of Yenching University.
But Mr. Qiu is an honorary professor of Tsinghua University after all, such an arrangement is completely understandable.
Knowing that Qiao Yu was coming, Zheng Qinghua woke up early.
When he was in high school, he felt that Qiao Yuchang was precocious, like someone in his early twenties.
Now that I have studied mathematics for a year, I already look like a person in his early thirties. Qiao Yu is engaged in academics every day, but he still looks like he is in his early twenties, which makes Zheng Qinghua very embarrassed.
He touched his head, which was becoming brighter, and said, "Qiao Er, I think if you work harder, I will be able to apply for your postgraduate examination when I graduate from university."
Zheng Qinghua originally thought that Qiao Yu would be more polite.
In the end, Qiao Yu said, "You may not pass the exam if you work hard."
Zheng Qinghua was speechless for a while: "The preliminary round will be held later. I came here as a freshman to gain experience. Our school's main team is all juniors and seniors. Our dean said that whoever scores higher than you will protect him research."
Qiao Yu couldn't help smiling slightly: "Then your dean may not need to recruit graduate students this year."
Out of a weak sense of honor for his school, Zheng Qinghua retorted: "You can just say what you say in Yanda University. In our place, be careful of being covered with sacks. Qingda Mathematics Institute also has very powerful bosses, such as Yangshen and Wei Wei. God, I have started to independently publish papers in SCI journals since my sophomore year..."
His voice is getting smaller and smaller.
After all, there are many SCI journals.
The "Acta Mathematica Sinica" published by Qiao Yu is also an SCI journal, which is completely crushing level.
But Zheng Qinghua quickly cheered up: "There are four individual events in this competition, there must be one or two that you are not very familiar with!"
Qiao Yu thought for a moment: "Indeed. I don't know statistics very well."
There are too many nouns like models and various distributions.
Fortunately, this kind of mathematics learning can only be done with hands, and it is almost the same if you use the formulas to calculate.
Qiao Yu spent a whole night endorsing the book.
A Tsinghua University student who happened to pass by felt ecstasy in his heart at this moment.
The project he reported was Statistics and Applied Mathematics.Doesn't it look like a good chance?
However, he didn't know how naive his thoughts were until he met Qiao Yu in the examination room.
When he was only halfway through the test paper, the other party had already got up to hand in the paper.
It's like a joke.
If Qiao Yu, who had just finished the college entrance examination, were to participate in the Qiu competition, it might indeed be a bit difficult.
After all, the way of thinking in high school and university is very different. High school pays more attention to the cultivation of foundation, while the knowledge of university is much wider.
But now Qiao Yu has studied for another whole year.
During the whole year, he was carefully cultivated by all the teachers as the "light of the school". He went to Wu Zhitian's office more often than the head teacher's office, and there was a progressive study plan prepared for him by the system.
Every day from six in the morning to ten in the evening.On average, a full thirteen hours are spent on learning knowledge every day.And it was thirteen hours of total dedication.
Qiao Yu can proudly touch his conscience and say that he has never wasted a single day.
In addition to falling in love with Song Tianyu, it may have killed about 50 hours in total... But this is also to restore the mood. Humans are social animals. No matter how withdrawn and paranoid Qiao Yu is, as a normal adult male mammal, he also has emotional needs of.
In the past year, the breadth and depth of Qiao Yu's understanding has made a qualitative leap.
To participate in the Qiu competition again is like a college student going back to do elementary school math problems.
The competition system of the Qiu competition is very special. The preliminary round is a written test, and the final is an oral test.
The final score is determined by a combination of written and oral exam scores.The score is still the national pull pass ranking.
And only those who scored in the top 13 in each subject in the preliminary competition can receive the invitation to the final.
Even if there are no duplicate quotas, only 52 of the hundreds of people participating each year can enter the finals.
The only gratification is that as long as they enter the finals, there will be 1 gold medal, 3 silver medals and 6 bronze medals for each project.More than half of the people will not return empty-handed.
With the unremitting efforts of the teachers of each school, it only took a week for the final list to be announced on the official website.
Although I had expected in my heart for a long time, the four "Yenjing University Qiao Yu" were in the same row, which was still very shocking.
Zheng Qinghua felt that Qiao Yu hadn't lied to him.
His statistics are indeed not good enough, only 2 points higher than No.2.Like number theory and calculus, each subject is at least [-] points higher than No.[-]...
Several "God Xs" who were highly expected from Qing University got together and saw the news at the same time.
"He's not human."
"It's not necessary, there's really no need to compare with Qiao Yu, we can just compare with ourselves."
Among them, one named Yangshen, looked very painful: "I know there is a gap with him, but why is it so big... Do you have to admit the false proposition of talent, I am not willing!"
In high school, they firmly believe that they are number one.
When you go to university, although you are not the first, you can still be in the top three.
But when facing Qiao Yu, there seemed to be no difference whether it was first or second.
Xu Tianyang also met the legendary Qiao Yu during the final.
This is the Morningstar Mathematical Center, the national mathematics highland.The students who entered the finals got their numbers and went to different rooms one by one for oral exams.
In fact, there were only about 40 classmates who entered the finals, but compared to the 4 judges for each subject, it was still too many.
A group of young people chattered and waited in the conference room. After their mobile phones were confiscated, they seemed to regard this place as a social occasion.
Only Qiao Yu sat alone on the side, his eyes were empty, and he was still wearing a suit.
No way, Zheng Qinghua, Qun Chengguang and Su Mingyang all failed to make it to the finals, he was not familiar with the others.
However, most of the first-year students who come to participate in the competition have accumulated experience, and there are only a few of them who can enter the finals like him.
Some of the contestants also wore suits, and they were all college students, so it doesn't matter if you want to be more formal.
Just paired with a childish and innocent expression, it looks like a graduate going to a company for an interview for the first time.
But Qiao Yu gave people a different feeling.
If someone told Xu Tianyang that the other party just got off some business reception, he would also believe it.
Xu Tianyang hesitated for a long time, and took the initiative to walk in front of Qiao Yu: "Hi, I'm Xu Tianyang from Tsinghua University. I once published a paper on ARMA as my first work. I'm a senior this year."
"ARMA is already a top mathematics journal in the field of analysis and equations. It's great that you can publish papers on it." Qiao Yu stood up, shook hands politely, and replied: "Hello, Qiao Yu .”
After he stood up, Xu Tianyang realized that Qiao Yu was quite tall, at least 1.8 meters high.
Xu Tianyang originally wanted to ask a lot of questions, asking him how he learned, or expressing his admiration, or else he should ask for his contact information, but he said, "You look very lonely."
There was a hint of surprise on Qiao Yu's face, and then he smiled suddenly: "Maybe it's because the indoor light is not good."
Coincidentally, at this time the staff called his name.
"I'm going to take the oral exam, excuse me."
Xu Tianyang couldn't wait for Qiao Yu to come out, because soon he was also called for an interview.
His interviewer was from MIT, he was fluent in English and had a very gentle attitude.The other party said don't be too nervous, just chat with him.
Xu Tianyang thinks that his English is good, but in this one-on-one communication situation, it is inevitable that he has to respond for a few seconds longer.
After leaving the small black room, Xu Tianyang felt annoyed for a while.
Usually he can speak eloquently, but when he met the professor at MIT, his thinking was not very clear. When discussing differential equations with the other party, he didn't even use half of what he knew.
I heard that Qiao Yu has participated in several international academic conferences, this level should not trouble him, right?
Xu Tianyang couldn't help thinking this way, but unfortunately, after the interview, he was invited out of the waiting room, and he couldn't see Qiao Yu coming out.
See you again, the award ceremony will be two days later.
Four gold medals.The record is impressive.
Yanda's team leader has been laughing all night.
The words of the students of Yan University became a prophecy, and they really only deserved to grab the second place.
Even the seating arrangement is different.Qiao Yu's location is not in the student area at all.
He was sitting next to Professor Hilton, and the chairman of the competition committee was looking forward to the future. The two of them wrote and drew on a piece of paper.
It made other participating students envious.
Xu Tianyang thought of some small things in his mind.
He won the IMO gold medal in his second year of high school and was recommended to Tsinghua University. In his third year of high school, he began to understand differential equations based on his own interest.
At that time, he was in the classroom and didn't attend classes. He often studied all day long with earplugs.It was dark when I came back to my senses.
Recalling my senior year in high school, are you lonely?
Not will.
A mediocre person will feel lonely because he doesn't fit in.
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