Academic Circles Were Shocked Again-Why Were They Getting Shocked Every Day?

Under Shen Qi's guidance, a user with the ID Ou Ye posted the manuscript of the Strong BSD Conjecture Proof on arXiv.

Shen Qi did not modify any of the mathematical symbols in Ou Ye's manuscript. After posting a PDF scan of the forty-two-page manuscript, he typed in the post. "Seven Millennium Prize Problem, two left:)."

Just two hours after Ou Ye's manuscript on his BSD Conjecture was posted on arXiv, the news was reported by the media.

The first to report on it was not academic media, but the BBC.

BBC: "Chinese mathematician Ou Ye posted her 42-page manuscript on the global pre-authorization website arXiv. Ou Ye claims she has proven the strong BSD Conjecture, one of the Millennium Prize Problem in mathematics. The validity of Ou Ye's proof awaits further confirmation from the academic community."

Soon after, academic media, research institutions, and individuals published their comments.

"Based on preliminary assessments, Professor Ou Ye has provided a seemingly reasonable and complete proof of the strong BSD Conjecture. Purely for academic purposes, we will organize world-leading mathematicians with whom we have long collaborated to verify the validity of Ou Ye's proof." --- A report from Springer Publishing Group, an academic publishing group with many leading mathematicians, physicists, and other scientists with whom it has long collaborated.

"Of the seven Millennium Prize Problem, two remain? I will mobilize the most powerful resources to verify Ou Ye's solution." --- Comment from the Clay Mathematics Institute, the organization that established the seven Millennium Prize Problem. In 2000, the Clay Mathematics Institute seven Millennium Prize Problem, promising each one a value of $1 million. Many years have passed, prices have risen, and $1 million back then could buy a house in New York with a mortgage; now it can't even buy an apartment. Due to rising prices and housing costs, the price of each Millennium Prize Problem has now increased to $1.5 million.

"As a professional mathematician who has spent ten years proving the BSD Conjecture, I believe that Professor Ou Ye's version of the BSD Conjecture proof is the closest I have ever seen to the truth." --- Comment from Gong Changwei, a mathematics professor at Columbia University and Ou Ye's master's advisor.

"A masterpiece! At least it looks like a masterpiece." --- Comment from Israeli mathematician Lyndon Strauss, winner of the 2010 Fields Medal, who was Ou Ye's Doctoral Supervisor. Lyndon Strauss was 40 years old when he won the Fields Medal, with a full head of hair and a strong physique. Now, Lyndon Strauss is an old man, balding on top, but even stronger.

"For those who are not math majors, the BSD Conjecture is too profound and complex. Let me explain simply what the BSD Conjecture is, and what significance and value it would have if it were proven..." --- A popular science article by Zhou Yu'an, director of the Mathematics Room at the Shen Qi Research Center of Yanda University.

Ou Ye claims to have proven the BSD Conjecture.

The proof that Ou Ye proved the BSD Conjecture is the work of other mathematicians.

This will take a considerable amount of time; it certainly cannot be completed in a single day.

International authoritative academic institutions such as Springer Publishing Group and the Clay Mathematics Institute have demonstrated a relatively objective attitude; they neither readily affirm nor readily deny.

Ou Ye's mentors and friends demonstrated a positive attitude towards supporting Ou Ye.

Of course, there are also mathematicians internationally who hold a skeptical attitude.

Oxford University, United Kingdom.

Oxford University and its sister Cambridge University are not centers of mathematics in the 21st century.

The Fields Medal was established in 1936. Harvard University has the most Fields Medal recipients, followed by the University of Paris. Princeton and the ENS Paris, both considered the temples of mathematics, rank only third and fourth, respectively.

After all, both Prince Town and the teacher training college in Paris are small institutions with few students; their research staff is far fewer than that of Harvard or Paris.

The number of Fields Medal Fellows from Oxford and Cambridge University ranks after UC Berkeley and MIT.

For the first one or two centuries before the 20th century, Oxford and Cambridge University were indeed large and powerful.

Throughout the history of modern science, British scientists have almost single-handedly made up half of the field, and these British scientists mostly came from Oxford and Cambridge University. The Victoria era, the most prosperous period in British history, was also the most prosperous era for British science.

Today, the UK remains a developed country, a nation with advanced technology and ranking among the world's top in scientific research.

Oxford and Cambridge University continue to cultivate outstanding talents for Britain in all fields.

For example, if Dr. Adama, the Indian mathematician at Oxford University, had stayed in India and had not come to Oxford, England for further studies and had not studied under Andrew Wiles, it would have been extremely difficult for him to achieve his current academic accomplishments.

This morning, Dr. Adama was grinding coffee beans in his office as usual, a perfect start to the day with a cup of aromatic hand-ground coffee.

Sipping coffee, turning on his computer, and browsing the news online, Dr. Adama was relaxed and content, quite satisfied with his current lifestyle.

Oh no, Manchester United got thrashed 7-1 by Tottenham at home! This is so disappointing for a die-hard Red Devils fan like me. My Pound Sterling 50 bet on Manchester United to win is gone. I swear, from now on I'll chop off my hand if I ever bet on Manchester United again.

Clay Jr. knocked out Bob Dylan in the second round, so it seems he wasn't doing too badly today. My Pound Sterling 500 bet on Clay Jr. to knock out his opponent was 9 to 1.

This year's US Open was fantastic; I think I should book my Wimbledon tickets for next year.

Dr. Adama lived in England for many years and described himself as a passionate sports fan, whose enthusiasm for sports was no less than that for mathematics.

Cricket is India's number one sport, and like most Indian men, Dr. Adama's favorite sport used to be cricket.

After arriving in England, Dr. Adama's hobbies became more and more like those of the British, including football, boxing, and tennis, which are popular sports in England.

Creak.

The office door opened, and a white man walked in.

The white man was named John Green, from Yorkshire, England. He was also a mathematician and shared an office with Hadamard.

"Good morning, Hadamard." John Green expertly poured Hadamard a cup of coffee and praised his coffee-grinding skills.

"Good morning, John." Hadamard was in a good mood, after all, Clay Jr.'s knockout victory had brought him several thousand Pound Sterling in income.

"Did you know, Hadamard, Lionheart Bar is having a promotion today? Buy any two drinks, pay for both. How about we go there tonight?"

"You know, John, what I hate most is the Lionheart Bar. They've been using the same old promotional gimmick for over twenty years, it's so unoriginal. I'd much rather go to the Crusader Bar, even though it's a mile more away, I believe it's worth it."

"The real reason I want to go to Lionheart is because there are lots of hot girls there, and it's easy to pick them up."

"I agree with that. Alright, John, let's go to the Lionheart Bar for some fun tonight."

"It's settled then. By the way, Hadamard, have you seen the news?"

"Manchester United lost 1-7 to Tottenham. The goal Manchester United scored was an own goal, meaning Tottenham scored eight goals in one game at Manchester United's home ground. I've done the Mathematical Analysis; the probability of this happening is one in eighteen hundred, and Manchester United and Tottenham only meet twice in a season. Oh, the amazing English Premier League, the incredible Tottenham. Clay knocked down Bob Dylan in the second leg; that hook was gorgeous. Poor Bob Dylan felt like he'd been hit by a train..."

"No, no, no, Hadamard, I wasn't talking about sports news, did you not read academic news? But seriously, Manchester United is getting worse and worse. If they keep playing like this, they won't even be able to beat Oxford! I really miss the days when Sir Alex Ferguson, Chris Ronaldo, and Rooney were at the Red Devils. Right now, Manchester United is just a relegation team! Hahaha, Manchester United, go play in the Championship next season! Long live Tottenham, Arsenal are invincible!"

"Academic news? What major events have occurred in academia?"

Hadamard closed the sports news page and went to the academic news section.

The next second, Dr. Adama was stunned.

Title 1: Chinese mathematicians prove the strong BSD Conjecture!

Title 2: Chinese female mathematician Ou Ye claims to have proven the strong BSD Conjecture!

Title 3: Chinese female mathematician Professor Ou Ye publishes 42-page manuscript, the strong BSD Conjecture may be proven!

Academic news is flooded with the news that a Chinese mathematician named Ou Ye has proven the strong BSD Conjecture.

Dr. Adama, who also studied the strong BSD Conjecture and achieved some research results, published his Strong BSD Conjecture Proof in the Annals of Mathematics a few months ago. His solution is widely recognized by the academic community as having made the most significant progress at the rank 0 and 1 levels and is the closest solution to the truth to date.

Even within academia, there's a fervent claim today that "the Ou Ye version is the closest to the truth to date."

Dr. Adama broke out in a cold sweat. He immediately logged onto arXiv and found Ou Ye's manuscript.

L^(r)(E,1)=cE#Sha(E)... Gross-Zagier Formula→L'(E,1)/cE→rational number... analytic rank≥2, Gauss conjecture in quadratic fie... L(E, s)=c(s-1)^r+High-Order Items!

Dr. Adama's hand holding the coffee cup trembled violently.

Bang!

The coffee cup fell to the ground and shattered, the thick liquid splashing onto Dr. Adama's gleaming leather shoes.

"She...she...she..." Dr. Adama opened his mouth in surprise, the Boss eyes wide open.

"She's pretty amazing, isn't she?" John said.

Dr. Adama suddenly lost his composure, shouting excitedly, "She... she plagiarized my paper! She's a fraud, she's a plagiarist!"

John shook his head and said, "I don't think so. Although her proof of rank 0 and 1 is extremely similar to your paper published in the * Annals of Mathematics *, the core of her manuscript is the proof that rank is greater than or equal to 2. This is her original work and the most crucial part of the entire scheme. If this manuscript were to be transformed into a formal paper, she could easily state in the paper that the proof of rank 0 and 1 cites Dr. Adama's article published in the * Annals of Mathematics *. So, Hadamard, you can't accuse her of plagiarizing your paper; of course, she will refute it, saying it's just a reasonable citation. Of course, whether her scheme is valid still needs further verification. Actually, I'm really looking forward to her formal paper and her face-to-face presentation. If she holds a presentation, I definitely want to be there."

"Verification? Of course it needs verification." Dr. Adama said expressionlessly, then took out a few tissues to wipe his leather shoes and the coffee on the floor.

Are we going to Lionheart again tonight?

"Of course I'll go, why wouldn't I? At this crucial moment, I need alcohol, and I need women."

Yenching University, China.

Shen Qi is writing his thesis.

Anyone who has written a thesis knows that a good thesis requires good citations.

Even Shen Qi, when writing his papers, would cite other people's literature. Of course, Shen Qi's research results were cited more often than others.

In fact, Shen Qi had noticed Hadamard's research team at Oxford University quite some time ago.

From an objective academic perspective, Hadamard's team's paper on the BSD Conjecture, published in the Annals of Mathematics a few months ago, is indeed very well written.

However, Shen Qi did not cite Hadamard's paper in the Annals of Mathematics.

Shen Qi knew that Ou Ye had not read Hadamard's paper before completing the rank 0 and 1 phase research results.

Plagiarism?

No, no.

It's not even quoting, let alone plagiarism.

At most, it can be said that Ou Ye and Hadamard developed relatively similar academic approaches to the same problem at the same time.

A clash of ideas is not uncommon in the History of Mathematics.

With so many brilliant minds in the world, there's bound to be a chance of them clashing.

So what if I hit you?

Whoever produces the most complete, rigorous, and self-consistent final research results will be remembered by history.

Currently, it appears that the Ou Ye team has gained the upper hand.