Top Student at Their Peak-Chapter 194 - 102: Insightful Eyes_5

Even when it comes to some modern tools, namely the theories of elliptic curves and modular forms, these tools already encompass the key ideas for similar problems, so there’s no reliance on Peter Scholze’s theories.

Similarly, when researching topics like prime number distribution, congruence theory, quadratic forms, the integer ring over algebraic number fields, and so on, Peter Scholze’s theories are also not essential. It’s like the classic proof of Fermat’s Last Theorem, which before Wiles’ work mainly relied on the basic concepts of elliptic curves, modular forms, and Lie group theory.

So this thing you’re working on, how should I say it, whether it will succeed or not is one thing — of course, I can’t judge its success or failure — but it’s certain that the proof process will be exceedingly complex, and I don’t even know if success would be a good thing or a bad thing."

Qiao Yu blinked and asked, "Why would it be a bad thing if it succeeds? Aren’t advanced mathematical tools created to be used?"

Xue Song glanced at Qiao Yu without much expression and said, "Because it means that for future research of this kind, Scholze’s theories might become indispensable, but fully understanding his theories is difficult, which means the threshold for researching related problems will be raised again in our generation."

Qiao Yu suddenly understood and said, "Oh! I get it; that means if I succeed, you might have to start learning Peter Scholze’s theories from scratch again, right?"

Xue Song glanced at Qiao Yu, not bothering to reply. This kid was getting more and more audacious.

But Qiao Yu was clearly more excited, confidently saying, "No, Mr. Xue, you can’t reject new things! We have to fully understand others’ work before we can come up with newer things on their foundations. If I succeed, and you want to learn this, I can teach you! Just like how you guide me, I won’t charge you!"

Obviously, Professor Xue wasn’t very appreciative and simply rebuked, "Shut up!"

Qiao Yu felt a bit aggrieved but indeed was too embarrassed to speak further.

However, in his mind, he thought of the topic studied by that Senior Brother Chen that his mentor mentioned yesterday.

Old Xue is already a professor, and it’s understandable if he’s less eager to learn, but Senior Brother Chen is different. If he could come up with a method like painting a gourd and solving Senior Brother Chen’s research problem, wouldn’t that mean Senior Brother would also have to relearn Peter Scholze’s theories before graduating?

From what Old Xue said, since this theory is so advanced, a highly talented Senior Brother Chen would surely be grateful to him, right?

But he had to speed up; otherwise, if he waited until Senior Brother Chen successfully graduated and found a job, what if he refused to accept such advanced ideas then? Wouldn’t all his sincerity be paid to the dogs?

Leading Qiao Yu up the stairs, Xue Song found that this kid had indeed kept silent all along and suddenly felt a bit regretful.

Wasn’t I too harsh on this kid just now? It would be bad if it hit his enthusiasm.

Although this kid’s words were often annoying, some things he said were indeed correct. If more advanced tools could solve problems, then it’s definitely something to learn; otherwise, you’ll just fall further behind. And... he’s only fifteen! It’s a lively and active age.

But Xue Song was too embarrassed to apologize outright, so he simply asked in a deep voice, "What are you thinking?"

"Reporting to Professor Xue, I was thinking about when Senior Brother Chen could graduate with his Ph.D.," Qiao Yu instinctively replied.

"Why are you concerned about when Senior Brother Chen graduates?" Xue Song frowned and asked, finding it quite mysterious.

"Uh..." Qiao Yu hesitated a bit, although he was sincerely thinking for Senior Brother’s good, the previous attitude of Old Xue made him unsure if Old Xue could understand his well-meaning intentions for Senior Brother.

"Is that hard to answer?" Xue Song couldn’t help but ask again. freeωebnovēl.c૦m

Qiao Yu hurriedly shook his head and replied, "No, I was just thinking about the idea that understanding one method helps understand all others; if I could use this theory to incorporate surfaces, manifolds, and such, and create more tools for Senior Brother to solve problems, would it make his graduation a bit easier?"

Xue Song opened his mouth but couldn’t be bothered to say anything.

It must be admitted that he worried unnecessarily just now. This kid’s enthusiasm isn’t so easily dampened.

It doesn’t matter, after all, he’s Mr. Tian’s student...

At that moment, Xue Song even felt a bit grateful that he didn’t have the mind to lure this kid under his tutelage. Otherwise, his ensuing life would probably be exhausting. Honestly, after getting familiar, Xue Song didn’t dare to speculate what on earth was going through Qiao Yu’s little head every day.

He even considered asking Qiao Yu for Lan Jie’s contact to inquire about how that high school teacher usually interacted with Qiao Yu.

"Uh, Mr. Xue, do you think..."

"Stop the nonsense, this is the conference room, come in with me."

Qiao Yu stuck out his tongue secretly when Mr. Xue wasn’t looking. Alas, Old Xue becomes rigid and unloved when he acts that way.

...

The lecture today was arranged in a medium-sized conference room.

Upon entering, you could see a blackboard in the center of the podium, with a screen on either side.

At this moment, Senior Brother Chen, whom Qiao Yu had been thinking about, was already on the podium testing the equipment, probably to ensure that when the lecture starts, Professor Robert’s PPT could be projected onto the screen properly.

This made Qiao Yu feel a bit emotional.

He suspected that Peter Schultz rapidly obtaining his master’s and doctorate degrees was probably to avoid having to work.