Paper Completed, Buff Upgraded

"Finally, the last step."

In his bedroom, Xiao Yi sat at his desk and took a deep breath.

The desk was a mess, as if perfectly obeying the law of entropy: various draft papers were scattered everywhere, leaving almost no room for the laptop in the middle. The wall in front of the desk was also plastered with draft papers, filled with complex equations.

However, despite the apparent disarray, Xiao Yi could find his way through it.

In his eyes, the area around the desk had transformed into his personal memory palace. When he needed to refer to previous conclusions while writing his paper, he only needed to glance at this memory palace to find them, without wasting much time.

Now that the paper had reached its final stage, he quickly summarized what he needed from the messy draft papers.

He picked up a pen, found a new sheet of draft paper, and began to write.

"4. Geometric Representation of Point Types"

"Let C be an algebraically closed, completely non-Archimedean field of mixed characteristic (0, p)."

"4.1 Let D = M(C{T}) be a closed disk; let η be its Gaussian point, and let c ∈ H1(D, Zp(1)..."

Line after line of seemingly profound descriptions flowed from Xiao Yi's pen without a hitch.

As mentioned before, the more difficult he found things, the more his thirst for knowledge grew. As he got into the groove, the complete framework of the paper gradually came under his control.

Today, finally, the last conclusion was thoroughly analyzed.

"Ultimately, we can prove that if x ∈ Z^an of a given type, then DxπZ satisfies the corresponding property in Definition 4.2."

"In summary, we have proven that πalg1(Y))/～ is a bijection."

Putting down his pen, Xiao Yi rubbed his temples. After a moment, he opened his eyes again, looked at the formulas before him, and a slight smile appeared on his face.

The final conclusion was complete.

The Absolute Remote Abelian Conjecture.

This was an extension of the Grothendieck-Remote Abelian Conjecture, which expanded the original conjecture's description of "hyperbolic curves" to "hyperbolic curves satisfying non-singular analytic properties." The difficulty wasn't immense, as the Remote Abelian Conjecture had already been proven by the Japanese mathematician Shinichi Mochizuki. By building upon his proof process and extending it, this problem was solved.

However, there was no doubt that for a "newbie" like Xiao Yi, deriving the conclusion of this paper was already a remarkable achievement.

Not to mention that he had only started studying professional mathematics a few months ago.

"I just don't know how valuable this conclusion will be."

Xiao Yi pondered for a moment.

As a "mathematics newbie," his lack of experience in mathematical research was matched by his limited understanding of the mathematics community.

He wasn't sure if his paper could be published in a core journal.

"Whatever, I'll organize the paper first and then send it to Professor Liu. He should be able to tell."

Without further thought, Xiao Yi opened his computer, went into the document, and began the final editing.

This mainly involved summarizing the various derivation processes and the final conclusion in text form to create a complete paper.

He had initially used Word, but writing a mathematics paper in Word was torture. So, he switched to LaTeX. As software specifically for scientific papers, it was much more convenient than Word, especially for functions like inserting formulas.

Being adept at finding and using tools was also a sign of intelligence.

After spending about several hours, Xiao Yi finally finished organizing the entire paper.

Including the bibliography, the paper was a total of 25 pages.

He then spent another few hours reviewing it from beginning to end, ensuring that all derivations in the paper were correct.

"Done."

He smiled slightly. The work that had taken so long was finally over.

Just then, he suddenly heard a long-lost voice in his mind.

"The 'Ruthless Continuous Study' effect has been active for over 50 days, and an academic paper of elementary value has been completed. Level has been upgraded to Lv3."

"Skill effects have changed as follows: For every hour of continuous study, learning efficiency increases by 1.4 times, up to a maximum of 14 times."

Hearing the voice in his mind, Xiao Yi was stunned.

What the heck?

'Ruthless Continuous Study' had leveled up again?

It had been several months since the last upgrade. He hadn't received any upgrade notifications for so long that he thought it had reached its limit, or that it required more days to be active. So, he hadn't paid much attention to it.

But now, he saw that reaching Lv3 only required over 50 days of activation, with the added condition of completing an academic paper.

The requirement was for "elementary value."

Elementary value...

Xiao Yi's joyful expression immediately fell.

This was bad.

This paper, which had taken him months to complete, was only of elementary value?

Could it even be published in a core journal?

Would it just be a general publication?

No way?

For a moment, he couldn't help but feel worried, even considering if he should rethink the conclusions of this paper and strive for something more valuable.

But in the end, he sighed. Forget it, he'd just send the paper to Professor Liu first.

At least he could get some advice from Professor Liu before knowing how far he was from meeting the requirements for a core journal. And thinking optimistically, maybe the value of his paper already met the core journal's requirements?

Feeling a little better, he logged into WeChat and sent the paper to Professor Liu.

Then, he humbly added a message: [Professor Liu, my paper is finished. I feel it might not be good enough. Could you please take a look?]

Soon, a message came back: [Oh? You actually finished it? Alright, I have some free time now, I'll take a look for you.]

Xiao Yi: [Thank you, Professor Liu.]

In Professor Liu's office, he looked at the file Xiao Yi had sent on his computer, feeling quite puzzled.

This kid wrote his paper so quickly?

It had only been about three months since he'd asked about the topic, right? He finished it in three months?

If that was the case, the quality of the paper probably wouldn't be very high.

But in the end, he shook his head.

Never mind, even if it took four months, it wouldn't make much of a difference. He shouldn't hold out too much hope.

He'd open it and see.

Immediately, he downloaded the file and opened the document.

However, as the content loaded, the title under the size 3 font immediately caught his eye, and he froze.

"Non-singular Analytic and the Absolute Remote Abelian Conjecture?!"

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