Chapter 383: Defense concluded

Jingda.

In the lecture hall, the boy on the podium spoke eloquently. Below, five old men had solemn expressions, nodding from time to time, revealing looks of praise and amazement.

"Here, there is a very important step, which is to use bilinear oscillatory integral estimates to improve square function estimates, and this requires two other very important steps."

Xu Qingzhou spoke unhurriedly, answering the professors' questions.

By the window, Song Yao rested her chin on her hand, sitting leisurely, looking at the boy in front, a strange light flowing in her eyes; she seemed a bit mesmerized.

Usually, this guy was always acting cheeky, but when he suddenly became serious, he was very charming.

"The first step is to adopt the Whitney decomposition lemma and parabolic scaling transformation technique..."

"The professors might have also noticed that one of the key factors in proving Theorem 8.1 is the variable-coefficient Kakeya maximal function estimate."

"..."

Xu Qingzhou explained in detail how to transform the bilinear terms falling within the same scale into the standard situation appearing in the lemma.

The entire paper totaled more than ninety pages, containing many groundbreaking theories.

For example, the brand-new bilinear oscillatory integral estimate with "Xu Qingzhou" characteristics, and the unique square function inequality—if nothing goes wrong, multiple lemmas starting with "Xu" will appear in the future.

At the entrance of the lecture hall.

Three boys had complex expressions, especially the one in the middle.

Kong Xianbo was really a bit numb now.

Knowing the gap was huge was one thing, but being crushed face-to-face was another.

He had been mentally prepared, but now that he clearly felt the gap with Xu Qingzhou, he felt terrible.

Thinking back to the past, he had even treated this guy as his most threatening competitor.

That was reckless.

This guy was simply not human.

Meanwhile, Wutong residential area.

Wang Xiaping looked at the defense video Song Yao sent to the group and frowned: "Bilinear... division, what are all these strange things? It's like chanting spells."

"If you could understand it, you'd be sitting under the podium," Xu Shouyun sipped his tea.

Wang Xiaping didn't refute. Mathematics and such—she wasn't good at it when she was studying. What she still found surprising to this day was that these strange things could actually be worth one or two million.

If it were some kind of invention or something valuable, she could understand it. For example, in that program on TV, one invention was worth millions or tens of millions.

"Mm, dressed so neatly, it must be Song Yao who helped him dress up. Look at the past: all black, then a buzz cut, just like he had just gotten out... Sigh... It's like a dream. This kid is about to graduate with his master's."

"I heard from Song Yao that those people below are either academicians or big professors..."

The more the old couple looked, the more dazed they felt.

Academicians—in the past, they could only occasionally hear about them on TV, saying that such-and-such academician had made great contributions to the country.

After sighing, the two felt gratified in their hearts. Not only was this kid successful in his career, but he had even found a girlfriend.

Xu Shouyun thought of a big event and said to Wang Xiaping: "By the way, there's usually that bachelor's gown, right? Let them take more photos and send them over."

"It's been a long time since we posted on Moments."

Wang Xiaping nodded slightly.

After discovering that their son's genes were diverging more and more seriously, they had both kept a low profile, and news about Xu Qingzhou rarely appeared on their Moments.

But graduation was a big event; it had to be commemorated.

Jingda, School of Mathematics.

"In the fifth part, implementing Taylor expansion near point z, h-ψ^λ(z, h): (z\λ, h)—can this part of the content be simplified by changing variables?" Gu Zhizhong asked in a deep voice.

Xu Qingzhou stared at the part Gu Zhizhong pointed out, pondered for a moment, and nodded: "Mm, it can indeed be simplified here. Using Professor Gu's method can speed up the calculation. Thank you for your guidance, Professor."

Gu Zhizhong shook his head: "I just deduced it based on your formula; it doesn't even count as adding flowers to the brocade."

Next, the other professors also pointed out three places that could be modified, but they were all about simplifying equations.

Time passed slowly.

"The above is the content regarding the discrete bilinear square function estimate problem." After Xu Qingzhou answered Professor Feng's question, he waited quietly. Chu Jiangfeng turned to look at his old friends and asked: "Does anyone else have any questions?"

Gu Zhizhong shook his head, and Xu Shihui and the other three also shook their heads.

Frankly speaking, this paper was already quite perfect.

As for simplifying the steps, it was a completely normal phenomenon; proofs like Fermat's Last Theorem or the Twin Prime Theorem could all be slightly simplified.

"Since that's the case, then I will announce it."

Chu Jiangfeng handed over the graduation certificate and degree, smiling slightly: "Student Xu Qingzhou, congratulations on completing your master's studies at Jingda."

"Thank you, Professor Chu. Thank you for your help over the past year," Xu Qingzhou said sincerely.

"It's all the result of your own hard work."

Chu Jiangfeng shook his head. He had been teaching for decades, and this was the first time he had encountered such a worry-free student. And it wasn't just worry-free; in the process of talking, he had learned a lot of new knowledge.

"Congratulations, Student Xu Qingzhou."

Xu Qingzhou thanked everyone one by one.

Not a single word of the content was missed!

Professor Feng said: "Actually, you've even won the Wolf Prize in Mathematics; us old guys sitting here are completely redundant."

"You are too kind. In the field of mathematics, I still have a long way to go, and I still need to learn more from all the seniors."

Xu Qingzhou answered modestly.

"What direction are you planning for next?" Xu Shihui was curious about this young man's next move.

"I haven't decided yet." Xu Qingzhou just felt that he should tackle some more challenging topics.

"Have you considered the Riemann Hypothesis?"

Xu Shihui asked with a smile. Just now, he couldn't help but think of the scene at Cambridge when Xu Qingzhou and Professor Maynard were doing calculations on the podium.

Xu Qingzhou said: "Maybe I will try in the future."

"Old Xu, don't lead Qingzhou astray."

Gu Zhizhong reminded him with dissatisfaction. The Riemann Hypothesis—one of the seven millennium mathematical problems—how many people had rushed forward, wasting their whole lives on it.

"Hahaha, seeing Student Xu Qingzhou, I feel that the future of the Xia Nation's mathematical community is full of hope."

Everyone chatted for a while, took a group photo together, then exchanged a few pleasantries and left to attend to their own business.

The classroom was soon left with only a group of young people.

Xu Qingzhou pinched Song Yao's hand and asked cockily: "Handsome, right?"

"It's alright." Song Yao curled her lips. Although this guy was indeed very charming when he was serious, he couldn't be praised, otherwise his tail would be wagging to the sky.

"You're saying one thing but meaning another."

Someone's eyes were full of those admiring stars just now.

Xu Qingzhou didn't dwell on this problem with the school beauty, pinching her small hand and greeting the three roommates who walked up from the back of the classroom.

Xu Zhengyang gave a thumbs up and said with a smile: "Old Xu, badass!"

"Congratulations." Kong Xianbo and Zhai Ziqiang also congratulated him with smiles.

Although they had been hit, as roommates, everyone was sincerely happy for Xu Qingzhou.

"Routine operation."

The three of them scoffed.

"We haven't even graduated from undergraduate yet, and you're already going to study for a PhD."

Xu Zhengyang revealed an envious expression.

Xu Qingzhou patted his shoulder and comforted him: "It's okay, maybe we can graduate together next year."

"Old Xu, when it comes to showing off, it still has to be you."

"Come, come, let's take a group photo first."

They took a group photo together at the entrance of the School of Mathematics, then clamored for Xu Qingzhou to treat them to a big meal. After arranging the dinner, Xu Zhengyang and the others left.

Xu Qingzhou changed into his master's gown and took photos with the school beauty.

(End of chapter) ===== CHAPTER 384 =====

Xu Qingzhou put on his master's gown and took photos with School Beauty Song to mark the occasion.

(End of chapter)