Chapter 381

"I'm also lucky."

Xu Qingzhou said modestly.

The field involved in Fourier integral operators is indeed many. It is an important tool in partial differential equations. In physics, it can convert wave functions from one representation to another, for example, converting spatial representation to momentum representation, so as to show the frequency and momentum distribution of particles.

This is also the reason why he chose this direction at the beginning.

"In March, according to the plan, you will go to MIT for public-funded study this year. Regarding the supervisor, you can start considering it. Currently, several old guys are contacting me, but, this still has to be chosen by yourself."

"Hmm, I will think about it seriously."

Xu Qingzhou nodded. Regarding the supervisor problem, he really hadn't thought about it seriously, wait until the thesis is finished before considering it.

Professor Chu Jiangfeng nodded, the topic reached mathematical calculation, and asked: "How did you solve the lack of L^p—L^p estimation of the variable-coefficient Kakeya maximal function?"

"I focused on studying the geometric properties of the Kakeya set..."

Xu Qingzhou pulled out the manuscript paper and calculated on the spot.

"Hmm, this line of thought is very good."

"Junior brother is awesome, this function can also be changed like this."

Staying at Professor Chu Jiangfeng's place for half an hour, Xu Qingzhou also got up to say goodbye and went back to rush the thesis.

Yang Yongze couldn't help but sigh: "Junior brother is too awesome."

"You should have some crisis awareness. If you are surpassed by your junior brother, that's called shameful." Professor Chu Jiangfeng said angrily.

"Like this, not being crushed by junior brother wouldn't be normal, right?" Yang Yongze muttered.

Professor Chu Jiangfeng was stuck for a moment, originally wanting to scold Yang Yongze for having no ambition, but felt it seemed to make some sense. This kid Xu Qingzhou's talent is really too terrifying.

Yang Yongze pondered: "It's time to recruit a few graduate students to lead."

"Figured it out?"

Professor Chu Jiangfeng sipped tea and asked with a smile.

"Hmm, figured it out." Yang Yongze nodded, paused, and said: "There must be something that surpasses junior brother. Comparing research is a bit difficult, then only compare the number of students."

"."

Students are compared by quantity?

Professor Chu Jiangfeng blew his beard and stared, having a feeling that this number was scrapped.

Qingming season, the air was filled with the scent of fresh soil. It just stopped in the morning, and it rained drizzlingly again in the evening, falling on the balcony railing, and then sliding down the windowsill with a tick-tock sound.

Xu Qingzhou was still calculating. After more than half a month of fighting, he successfully completed the improvement of the local smoothness research.

The local smoothness conjecture attempts to describe how the output function of a Fourier integral operator will maintain or improve this smoothness when the input function has a certain smoothness.

After proving this smoothness, the next step is to continue extending the local smoothness.

Song Yao came out of the bedroom lazily, leaned on the sofa, wanted to play with Xu Qingzhou's hair, and then went to the sofa to rest.

Xu Qingzhou also got up and followed.

Song Xiaohua's hair was messy again from sleeping, her long hair scattered on her shoulders, her dark eyes staring at the ceiling in a daze, and paired with her plain face that was slightly haggard compared to usual, she had a familiar sense of brokenness.

Xu Qingzhou couldn't help but pinch her white and delicate little face, like a porcelain doll that could be trampled on by anyone.

Song Yao still didn't move, just stared at Xu Qingzhou expressionlessly like this.

Pondering about taking revenge after she got better, and, this feeling of having no strength, not wanting to move, and only being able to let Xu Qingzhou bully her... inexplicably made one enjoy it a bit.

However, why is it a bit strange.

She sometimes actually looked forward to Xu Qingzhou using more force.

Not right, not right.

Song Yao's little face condensed, her expression solemn, this kind of thinking is not normal, how can she hope that Xu Qingzhou tortures herself.

So perverted.

Just... like Xu Qingzhou likes to be beaten.

Some strange attribute.

Song Yao sighed in her heart, dying, she seemed to be becoming more and more strange.

Why would it be like this?

Because... because...

She simply threw the pot onto Xu Qingzhou.

It's all because of Xu Qingzhou.

Song Yao came back to her senses, blinked, gazed at Xu Qingzhou, "Teacher Xu, use more force."

Hmm? Xu Qingzhou increased the force a bit, never heard of such a request before. However, he discovered a hand resting on his waist.

Not good.

"Hiss~"

Xu Qingzhou's plea for mercy rang out in the living room.

Song Yao was satisfied, saw Xu Qingzhou staring at her resentfully, and drove him away: "You disturbed me."

"."

Xu Qingzhou shook his head, understood that Song Yao was fishing just now, returned to the table, and continued the calculation just now.

If e is sufficiently small, it can be used to replace fψ, where ψ is a smooth function supported on b(e, 1/5) and equal to 1 on b(e, 1/100).

When an inequality uses Fefferman-Stein's estimation, an extra factor e^e will appear.

"Here... need to construct an inequality."

Time passed, and in a blink of an eye, it was late April.

Please... you... collect_(!)

After being busy for two consecutive weeks, Xu Qingzhou finally became completely free, and Song Yao also happened to give herself a small vacation.

The two of them didn't go anywhere, just rotted at home.

In the evening, the golden sunlight fell into the corner of the sofa.

Xu Qingzhou came out of the kitchen after washing the dishes and went to the sofa to pull at Song Xiaohua's legs.

Song Yao didn't raise her head and said: "Academician Chu just sent a message, your graduation defense is arranged on April 22nd, and Academician Wang and the others will all come then."

Xu Qingzhou finished the thesis on the afternoon of April 15th, plain and simple, just went out with Song Yao to have a good meal to count as celebration.

Immediately translated and submitted, and gave a copy to Professor Chu Jiangfeng's side.

Professor Chu Jiangfeng didn't even want a corresponding author position.

In Professor Chu Jiangfeng's words: "Can't afford to lose this person."

He indicated that the topics were all completed by Xu Qingzhou, and usually going to the office was also mainly for communication, which could be considered mutual learning. If he still wanted the position of corresponding author like this, where would he put his old face.

"22nd... that's okay."

Xu Qingzhou nodded, actually there was nothing to prepare, having studied things for more than a year, the content of each part was very familiar.

Song Yao seemed to have seen it, her willow eyebrows frowned, and her feet hooked Xu Qingzhou's clothes.

"Someone is challenging you on the internet."

"Challenge?"

Xu Qingzhou felt it was novel, leaned over to look at the news with Song Yao.

Weibo's private messages were still 99+.

There were advertisers, those asking math questions, theses, and those claiming they proved a certain mathematical conjecture and wanted to ask Xu Qingzhou to take a look, and even talent agencies.

"Academic God Xu, the third brother is challenging you."

After commenting, this netizen also attached a video of the interview.

Click open the video, a familiar person appeared on the screen.

Reporter: "Mr. Amir, heard that you are studying the local smoothness conjecture, do you have any good news to bring us currently?"

"Of course, gratifying progress has been made now, I have confidence, within half a year, it will definitely be possible to solve this problem proposed by harmonic analysis master Christopher D. Sogge in 1991."

"Can you reveal what work arrangements you have next."

"Xu Qingzhou from the Xia country seems to be conducting similar research, or rather, the same research on the local smoothness conjecture as your topic. Regarding this, what thoughts do you have?"

The reporter paused for a moment and asked with a smile: "After all, you have always regarded this Xia country person who has repeatedly created miracles as a competitor."

"Forgive me for being blunt, not every research needs miracles. As a scientific research worker, I believe more in carefulness and my own strength. In terms of harmonic analysis, I have absolute confidence." Amir smiled.

"Can I understand your words as a challenge?"

Amir said: "I am very happy."

The video was only two minutes long.

Song Yao sat upright, interviewing her boyfriend, "What thoughts do you have?"

"He..."

Xu Qingzhou paused, his expression serious, and said slowly: "He got darker than when I saw him last time."

(End of chapter)