Walked into the study and sat in front of the computer.
While turning on the computer screen, I recalled information about the interview students in my mind.
He randomly arranged the order of interviews, but for Yuan Siping, he specifically put him at the end for the interview.
Looking at the time, for six people, it takes about thirty minutes for each person on average, and it takes three hours in total.
Of course, in graduate student interviews, 30 minutes is already a relatively long time.
However, Li Mu has his own ideas about this interview, so thirty minutes may not be enough.
Specifically, it depends on the interview situation at that time.
"the first person……"
He entered the online conference room and waited for the first interview student to enter. At the same time, he also opened the first student's resume.
The first student is from France, Department of Mathematics, Ecole Normale Supérieure in Paris.
The mathematics department of École Normale Supérieure in Paris is regarded as the best mathematics major in the world.
Just look at the number of Fields Medal winners who have graduated from the Ecole Normale Supérieure in Paris, which is almost the largest number in the world.
Therefore, in terms of mathematical quality alone, there is definitely no need to question this student.
In addition, Li Mu has also read the papers this student has published in the past - of course he also needs to know in detail the level of the papers written by these students before officially starting the interview.
If the level is not good and the quality is too poor, it will definitely be passed on.
In the field of mathematics, the paper can adequately reflect a student's true level.
And this student's paper was excellent enough.
While Li Mu was thinking, someone suddenly came into the online conference room.
When the video started, a guy with naturally curly brown hair appeared.
He looks quite handsome.
Seeing this person, Li Mu smiled and said hello: "Hello, are you Anthony Alex?"
When the French guy saw Li Mu at the other end of the video, he immediately sat upright, with obvious excitement on his face.
"Yes! I am Anthony Alex...Professor Li! It's really nice to meet you!"
"me……"
After saying "I" intermittently for a long time, Anthony Alex also noticed this embarrassment, and then said with some embarrassment: "I'm sorry, Professor Li, it's just because I'm too excited to see you!"
Li Mu smiled and said, "Okay, don't be too excited. I don't want to receive a student who can't speak after seeing me."
Anthony Alex scratched his head in embarrassment. He said that he did not expect to be so excited after seeing Li Mu.
Of course, it was also because Li Mu won the Wolf Prize at the same time a few days ago that his admiration for Li Mu became even more profound.
But soon, after adjusting his mentality, he quickly became serious.
We can't continue to leave a bad impression.
Seeing how he had adjusted, Li Mu said, "It seems that you have adjusted well. Then our interview will officially begin. Let's introduce ourselves first."
"OK."
Anthony Alex nodded solemnly and then entered the process.
"Hello, dear Professor Li, I am Anthony Alex from the Ecole Normale Supérieure in Paris, France. I am honored to be here and accept your interview. I..."
A simple one-minute self-introduction mainly allows the interviewer to form a preliminary impression of the interviewee.
Li Mu looked at Anthony Alex's resume and listened to his self-introduction, nodding slightly.
No matter what, Anthony Alex's resume is indeed very beautiful, and he is the best among the first eleven people.
This is also the main reason why Li Mu ranked him first. In addition, he also seemed more confident when introducing himself.
For those who study mathematics, self-confidence is a very important thing. If you are not confident enough, you may have the idea of shrinking back when encountering any difficult problem.
Of course, a good first impression depends on its ability.
Interviews for graduate students, of course, are all about testing their actual level.
As the self-introduction ended, Li Mu nodded slightly.
"Yes, in general, from several of your papers, I can see that you are of a certain level."
"I have read your papers, and they are basically in the direction of algebraic geometry."
When he said this, Li Mu paused for a moment.
"Well, my interview is very simple. The most quick way to verify a person's mathematical ability is to solve problems. So, now I will give you a question and you can try it."
Afterwards, Li Mu shared a file with Anthony Alex in the online conference room.
"Your score with me will depend on your problem-solving process and the final result."
Anthony Alex was stunned, probably not expecting that Li Mu's interview would be in such a format.
Of course, he quickly accepted this form.
Mathematics, to put it bluntly, is all about solving problems.
Ask them to say, and maybe they won't be able to say anything, but if you give them a math problem, they can easily use up twenty pages of scratch paper.
"Good professor."
Soon, Anthony downloaded the file shared by Li Mu and opened it to read.
[If the product of the Abelian variant on a field k with characteristic p greater than 0 and the supersingular elliptic curve on the algebraic closure of k is homogeneous, it is called supersingular. Let AgFp be the modulus space of the g-dimensional principal polarization Abelian variant with eigenvalue p > 0. The super-singular trajectory Sg is defined as a closed subset of the super-singular principal polarization Abelian variants of Agf. This trajectory can be considered the most degenerate layer in the AgFp Newtonian polygon layering...
For g = 1 and g = 2, the supersingular trajectories are a layer of Ekedahl-Oort layers, so the class is known. For g = 3, the supersingular trajectories do not belong to the Ekedahl-oort layer, but their cyclic class has also been proven.
So, next, please try to determine the factors of the cyclic type of super singular trajectories when g=4, please use your abilities well. 】
After reading the description of the problem, Anthony was a little dazed.
Before the interview officially started, he was a little confused about how long the interview lasted for half an hour, but now that he saw this question, he immediately understood.
Half an hour?
Pooh!
One month is too little!
Anthony is very familiar with this question because his previous thesis was closely related to this aspect, so he knows very well how difficult this question is.
As long as this result can be completed, it will be enough to publish an article in one area!
Immediately, his expression turned gloomy, and he said to Li Mu: "Professor, are you sure this is my interview question? This is too difficult..."
Li Mu smiled and said, "Don't worry, continue reading below. There are tips from me on page 2."
"In addition, this issue is just for you to try, not for you to completely solve the problem. The most important thing is to show your ideas well."
Hearing what Li Mu said, Anthony was relieved, and then said: "Okay, I understand."
Li Mu nodded, "Then let's get started."
Without further words, Anthony began his problem-solving process.
And Li Mu also waited quietly.
Anthony also saw the tips given by Li Mu on the second page. To his surprise, these tips given by Li Mu were enough to write another paper that could be rated as a second area at least. However, now, Li Mu just Putting the results of this second area thesis in the interview, and it was just his interview.
It's really... a luxury.
Of course, he soon felt relieved. For a big boss who could easily publish a top journal, what was the second area paper?
Probably nothing.
Anthony's thoughts began.
At Li Mu's request, he needed to ensure that the camera included the scratch paper, so that Li Mu could easily see his thinking process.
The thinking process can best reflect the talent of a mathematical scholar.
In this way, time passed quickly.
Half an hour later.
Anthony stopped the pen in his hand, with a look of surprise on his face.
"I know! If you want to determine the factors of the cyclic class of super-singular trajectories when g=4, you need to first prove that on the Chow ring of the falting-chai compactification (AgFp) with rational coefficients, one of the cyclic classes of super-singular trajectories formula, which should allow the class to be a monomial in the Chern class of Hodge bundles, up to a polynomial whose factors are p!"
(End of chapter)
