Chapter Summaries

Key Plot Points and Events

• Xiao Yi receives praise from Academician Hu for his paper on Far Abelian Geometry, which is considered the best in the field recently.
• Xiao Yi is advised to translate his paper into English for submission to international core journals, specifically 'Publications mathématiques de l'IHS.'
• Xiao Yi completes the translation and formatting of his paper under Liu Bin's guidance.
• Xiao Yi is advised to list himself as the sole author and corresponding author, and to protect his achievements in the academic world.

Character Developments

• Xiao Yi gains confidence in his mathematical abilities and talent after receiving praise from Academician Hu.
• Xiao Yi demonstrates humility and respect towards his seniors, seeking their advice and guidance.
• Liu Bin shows concern and support for Xiao Yi's academic growth, providing guidance and protecting his achievements.
• Academician Hu expresses high expectations for Xiao Yi's future in mathematics.

Significant Themes

• Recognition and Self-Confidence: Xiao Yi's paper receives recognition from Academician Hu, boosting his self-confidence in his mathematical abilities.
• Mentorship and Guidance: Liu Bin and Academician Hu provide guidance and advice to Xiao Yi, helping him navigate the academic world.
• Integrity and Protection of Achievements: Liu Bin warns Xiao Yi about the potential dirtiness of the academic world and advises him to protect his achievements.

Character Interactions

• Xiao Yi interacts with Professor Liu Bin and Academician Hu, seeking their advice and guidance.
• Liu Bin and Academician Hu exchange glances, expressing their surprise and admiration for Xiao Yi's talent.
• Xiao Yi and Liu Bin discuss the submission process and authorship of Xiao Yi's paper.

Key Plot Points and Events

• Xiao Yi successfully submits his paper to the journal Publications Mathématiques de l'IHS.
• He learns about the significance of publishing in SCI journals, especially Q1 journals, for academic career advancement.
• Hu Guangde, the academician, decides to set the questions for the Hua Luogeng Mathematics Class written exam, aiming to make them challenging.

Character Developments

• Xiao Yi shows determination and excitement in pursuing his academic goals.
• Hu Guangde demonstrates his authoritative and somewhat mischievous nature, wanting to challenge the students with difficult questions.

Significant Themes

• The competitive nature of academic publishing and the significance of publishing in high-impact journals.
• The rigorous standards and challenges faced by young academics.

Character Interactions

• Xiao Yi informs Professor Liu Bin about his successful paper submission.
• Hu Guangde discusses with Liu Bin about setting challenging questions for the mathematics class exam.
• Dean Chen expresses concern about the difficulty of Hu Guangde's exam questions.

Key Plot Points and Events

• The IHES mathematics journal is highly renowned, with an impact factor exceeding 6, making it one of the most prestigious in the math community.
• Evans, an editor at IHES, begins reviewing submissions, finding the first few papers unworthy of publication.
• He encounters a paper with a star symbol, indicating it has been fast-tracked by the Editor-in-Chief, Bojielun. The paper is titled "Non-singular Analytic and the Absolute Remote Abelian Conjecture" and is submitted by a high school student from China.
• Evans, surprised, seeks clarification from Bojielun, who reveals the paper was recommended by an old friend and bets Evans 50 euros that he won't be able to finish reading it.
• Evans starts reading the paper, initially planning to find a tactful way to reject it but becomes engrossed in its content.

Character Developments

• Evans: Initially skeptical and somewhat dismissive of the high school student's paper, Evans becomes increasingly impressed by the paper's quality as he reads it.
• Bojielun: The Editor-in-Chief is revealed to have a personal connection to the paper's submission and bets Evans to read and review it thoroughly.

Significant Themes

• Prestige and Quality in Mathematics: The chapter highlights the high standards and rigorous review process of the IHES journal, contrasting it with other journals that may have lower standards.
• Discovery and Recognition of Talent: The chapter explores the potential for discovering and recognizing mathematical talent, even in unexpected places like high schools.

Character Interactions

• Evans and Bojielun: Their interaction reveals Bojielun's personal connection to the paper and his bet with Evans, adding a layer of tension and curiosity to the situation.
• Evans and David: Evans's colleague David shows sympathy and understanding towards Evans's situation, indicating a supportive work environment.

Key Plot Points and Events

• Evans, a mathematician at the French Institute for Advanced Study, is captivated by a paper on Far Abelian Geometry, a niche area he once dedicated himself to.
• He becomes so engrossed in the paper that he starts calculating proofs on a draft, which raises suspicion from his colleague David.
• Evans realizes he has lost a bet with Bojielun, the editor-in-chief, who paid him to reject the paper. The bet was that if the paper was well-written, Evans would pay Bojielun 50 Euros.
• Evans decides to finish reading the paper before addressing the bet.

Character Developments

• Evans: Initially skeptical, he becomes genuinely impressed and intrigued by the paper, reigniting his interest in Far Abelian Geometry. He shows humility and integrity by acknowledging the paper's quality despite his initial intention to reject it.
• David: He shows concern for Evans' reputation and offers to help him confront Bojielun. He also demonstrates honesty and curiosity, admitting he can't understand the paper despite Evans' encouragement.

Significant Themes

• The Pursuit of Knowledge: Evans' dedication to understanding the paper, even when it challenges him, highlights the pursuit of knowledge and understanding in the academic world.
• Integrity and Humility: Evans acknowledges the paper's quality despite his initial bias, showing integrity and humility as an academic.
• Mentorship and Recognition: The chapter hints at Evans' potential role in recognizing and mentoring young talent, as he sees the paper's author as a rising star.

Character Interactions

• Evans and David: Their interaction shows a friendly, collegial relationship. David warns Evans about the appearance of plagiarism and later offers to help him confront Bojielun. Evans, in turn, shares his admiration for the paper with David.
• Evans and Bojielun (implicit): Their interaction is implied through Evans' thoughts about the bet. Evans' decision to finish the paper before addressing Bojielun suggests a respect for the academic process and the paper's quality.

Key Plot Points and Events

• Evans, unable to understand a submitted paper, reports it to Editor-in-Chief Bojielun.
• Bojielun initially dismisses the paper as unworthy of his time, assuming it's from a high school student.
• Evans insists on having the paper reviewed by experts, mentioning Peter Scholze and Jacob Stix.
• Bojielun reads the paper and, though unable to understand its content, recognizes its professional writing style.
• Bojielun contacts Peter Scholze, who agrees to review the paper due to its focus on Far Abelian Geometry.
• Evans speculates that Scholze might be interested in refuting Shinichi Mochizuki's abc conjecture proof.

Character Developments

• Evans demonstrates his determination and confidence in the paper's quality, challenging Bojielun's initial dismissal.
• Bojielun shows his professionalism and willingness to reconsider his stance after reading the paper.

Significant Themes

• The value and potential of work from young or unconventional authors.
• The importance of expert review in the academic publishing process.

Character Interactions

• Evans and Bojielun engage in a conversation that challenges Bojielun's initial assumptions about the paper's quality.
• Evans and Bojielun collaborate to have the paper reviewed by Peter Scholze, demonstrating mutual respect and trust.

Key Plot Points and Events

• Xiao Yi's paper is still under expert review, indicating no major issues.
• The Mathematics class entrance exam is scheduled for August 29th, with questions set by multiple Academicians, including Academician Hu.
• The exam will be a joint assessment involving fifteen universities, with questions differing from typical competition problems.

Character Developments

• Xiao Yi remains calm and composed, showing curiosity and eagerness when faced with the unusual exam situation.
• Professor Liu Bin demonstrates concern for Xiao Yi's academic progress and preparation for the exam.

Significant Themes

• The pressure and expectations placed on exceptional students like Xiao Yi.
• The importance of mathematics education and talent cultivation in China.

Character Interactions

• Xiao Yi and Professor Liu Bin discuss the status of Xiao Yi's paper and the upcoming exam.
• Xiao Yi joins a QQ group with other students preparing for the exam, witnessing their concerns and fears about the challenging questions set by Academicians.

Key Plot Points and Events

• The exam's afternoon session involves analyzing excerpts from famous mathematics papers and solving related problems.
• Xiao Yi meets Chen Muhua, a fellow student from Hui Province, in the exam group chat.
• Eight days later, Xiao Yi attends the joint examination for university mathematics programs at USTC.
• He meets a young student, Ye Cheng, from the Gifted Class who addresses him as 'Scholar Xiao.'

Character Developments

• Xiao Yi realizes the exam's abstract nature and feels excited about the challenge.
• He shows humility and friendliness when interacting with Chen Muhua and Ye Cheng.
• Xiao Yi continues to study diligently, forming new mathematical ideas in his mind.

Significant Themes

• The importance of abstract thinking in mathematics.
• The intense competition among mathematical prodigies.
• Xiao Yi's humility and dedication to his studies.

Character Interactions

• Xiao Yi interacts with Chen Muhua in the exam group chat, showing mutual respect and wishing each other luck.
• He meets Ye Cheng at the exam venue, who addresses him as 'Scholar Xiao,' leading to a brief conversation.

Key Plot Points and Events

• Xiao Yi and Ye Cheng discuss their Gaokao scores and future plans.
• Ye Cheng reveals his ambitious plan to win a Fields Medal before turning 40.
• The exam begins, and Xiao Yi finishes all three questions in 20 minutes, submitting his paper early.
• Other students, including Ye Cheng, struggle with the first question, realizing Xiao Yi's exceptional ability.

Character Developments

• Xiao Yi: Demonstrates his extraordinary mathematical prowess by completing the exam in 20 minutes. His confidence in his abilities grows, and he begins to question his future life plan.
• Ye Cheng: Reveals his impressive academic goals and admits to feeling nervous about the exam. He shows admiration for Xiao Yi's abilities.

Significant Themes

• Genius and Brilliance: The chapter highlights the exceptional mathematical abilities of Xiao Yi and Ye Cheng, challenging the notion of what it means to be a genius.
• Ambition and Planning: Both characters discuss their future plans, with Ye Cheng's detailed life plan contrasting with Xiao Yi's more open-ended goals.
• Pressure and Expectations: The exam setting emphasizes the pressure these students face, with Ye Cheng admitting to feeling nervous despite his high score.

Character Interactions

• Xiao Yi and Ye Cheng: The two engage in a conversation about their Gaokao scores and future plans, with Ye Cheng expressing admiration for Xiao Yi's abilities. Their interaction highlights the competitive yet respectful dynamic between these mathematical prodigies.

Key Plot Points and Events

• The afternoon exam begins at 2 PM, with Xiao Yi drawing significant attention due to his swift completion of the morning exam.
• An online meeting of prominent mathematicians, including academicians Liao Huan and Hu Guangde, is held to remotely proctor the exam.
• Peter Scholze's recent claim about disproving Shinichi Mochizuki's abc conjecture proof is discussed among the academicians.
• The exam papers are distributed, containing processes from two mathematics papers personally selected by the academicians. Xiao Yi receives a question based on Chen Jingrun's work on the Goldbach Conjecture.

Character Developments

• Xiao Yi remains humble despite the attention he receives, showing no signs of arrogance or overconfidence.
• Academicians Liao Huan and Hu Guangde are portrayed as rivals, each boasting about their universities' candidates.
• Academician Hu Guangde reveals that one of his students recently wrote a paper on Far Abelian Geometry, which is relevant to the ongoing discussion about Scholze's claim.

Significant Themes

• The intense competition and rivalry among top universities and their students in the mathematics field.
• The ongoing debate and intrigue surrounding Shinichi Mochizuki's abc conjecture proof and Peter Scholze's recent claim.
• The importance of mathematical history and foundational work, as exemplified by Chen Jingrun's paper on the Goldbach Conjecture.

Character Interactions

• Xiao Yi and Ye Cheng discuss the upcoming exam, with Ye Cheng expressing admiration for Xiao Yi's abilities.
• Academicians Liao Huan and Hu Guangde engage in a friendly rivalry, arguing about the superiority of their universities' candidates.
• The academicians discuss Peter Scholze's claim and share information about the exam questions, revealing their connections and influence in the mathematical community.

Key Plot Points and Events

• The exam begins with excerpts from two mathematical papers.
• The first excerpt is from Chen Jingrun's paper, which Xiao Yi finds relatively easy.
• The second excerpt is from Zhang Yitang's paper on the Twin Prime Conjecture, which Xiao Yi finds simple but challenging for others.
• Xiao Yi starts writing answers immediately, drawing attention from other candidates and invigilators.

Character Developments

• Xiao Yi demonstrates his exceptional mathematical prowess by solving complex problems quickly and accurately.
• Ye Cheng, initially confident, becomes discouraged and impressed by Xiao Yi's abilities but remains determined to keep trying.

Significant Themes

• Genius and exceptional talent in mathematics.
• The challenge and exclusivity of high-level mathematics.
• The impact of a genius's presence on others' perceptions of their own abilities.

Character Interactions

• Xiao Yi's actions draw the attention of Ye Cheng and the invigilators.
• Ye Cheng feels discouraged but remains determined after seeing Xiao Yi's abilities.
• The invigilators are surprised and impressed by Xiao Yi's performance.

Key Plot Points and Events

• Students struggle with the first section of the mathematics exam, set by academicians.
• Xiao Yi, a high school student, finishes and submits his paper in 20 minutes.
• Academicians remotely monitoring the exam are surprised and curious about Xiao Yi's paper.

Character Developments

• Xiao Yi demonstrates exceptional mathematical prowess by finishing the exam early and potentially answering questions set by academicians.
• Academicians, initially skeptical, become intrigued by Xiao Yi's performance.

Significant Themes

• Genius and exceptional talent (Xiao Yi's abilities)
• Competition and curiosity (among academicians)

Character Interactions

• Academicians discuss and react to Xiao Yi's early submission and potential answers to their questions.
• Xiao Yi, unaware of the academicians' interest, ponders the exam questions independently.

Key Plot Points and Events

• The university exam concludes, and papers are exchanged for cross-grading.
• Academicians from major universities, including Jingda and USTC, participate in marking the papers.
• Academician Liao Huan finds Xiao Yi's paper, which is flawless in the first excerpt and improves upon Zhang Yitang's method in the second.
• Bojielun, the editor-in-chief of The Publications Mathématiques de l'IHS, receives an email from Peter Scholze praising Xiao Yi's paper as groundbreaking and highly valuable in Far Abelian Geometry.

Character Developments

• Xiao Yi's mathematical prowess is confirmed and further emphasized as he improves upon established methods.
• Academicians, including Liao Huan and Wang Jianxin, are impressed and surprised by Xiao Yi's work.
• Bojielun is astonished by the content of Peter Scholze's email, indicating that Xiao Yi's work has international recognition and potential impact.

Significant Themes

• Xiao Yi's exceptional mathematical abilities and potential.
• The recognition and validation of Xiao Yi's work by established mathematicians.
• The international significance and impact of Xiao Yi's mathematical contributions.

Character Interactions

• Academicians Liao Huan and Wang Jianxin discuss and evaluate Xiao Yi's paper together, leading to a collective realization of its significance.
• Bojielun and Peter Scholze, through their email exchange, highlight the international recognition and potential impact of Xiao Yi's work.

Key Plot Points and Events

• Xiao Yi's paper on Far Abelian Geometry is accepted by 'Publications mathématiques de l'IHS'.
• The paper has been recognized as correct, error-free, and of high quality by experts, including Fields Medal winner Peter Scholze.
• Scholze finds the paper's mathematical ideas and analytical methods "extremely astonishing" and intends to use it for significant work.
• The journal will publish the paper online as soon as possible and in print in December.

Character Developments

• Xiao Yi: Proven to be a gifted mathematics scholar at the age of 17, making history for the journal and potentially the field of mathematics.
• Bojielun: Shocked and excited by the paper's recognition, he instructs Evans to notify Xiao Yi and proceed with publication.
• Evans: Excited about the paper's recognition, he personally writes an email to Xiao Yi detailing the next steps and Scholze's suggestion to publish on preprint servers like arXiv in the future.

Significant Themes

• The power of mathematical genius and its recognition in the academic community.
• The importance of publishing and sharing research findings in mathematics.

Character Interactions

• Bojielun and Evans: They share their excitement about the paper's recognition and discuss the next steps for publication.
• Xiao Yi and Liu Bin: Xiao Yi shares the news of his paper's acceptance with Liu Bin via WeChat, expressing his excitement and surprise.

Key Plot Points & Events

• Hu Guangde discovers Xiao Yi's paper was found and praised by other academicians, causing him to gloat at home.
• Xiao Yi's paper is accepted by IHES, a top-tier mathematics journal, and the affiliated school pays the publication fee of $3,390 (over 22,000 yuan).
• The results of the joint examination for 15 universities are released, with Xiao Yi scoring 101 points out of 100, ranking first.

Character Developments

• Hu Guangde becomes proud and boastful due to Xiao Yi's accomplishments.
• Xiao Yi remains humble despite his achievements and is surprised by the school's generous payment for the publication fee.

Significant Themes

• Recognition and pride in one's achievements (Hu Guangde, Xiao Yi).
• The value and cost of academic publications.
• The impact of exceptional performance on others' perceptions (Xiao Yi's score of 101 points).

Character Interactions

• Hu Guangde shares his triumph with his wife, expressing his pride in Xiao Yi's accomplishments.
• Xiao Yi interacts with the school principal and leaders, who express their gratitude and admiration for his achievements.

Key Plot Points and Events

• Xiao Yi scores a perfect 101 out of 100 on the afternoon exam, causing shock in the group chat.
• The group chat discusses Xiao Yi's score, with many guessing he read the papers beforehand.
• Luo Xiao asks about the extra point, demoralizing the group.
• Xiao Yi attends his USTC interview, which focuses on evaluating problems from the previous day's exam.

Character Developments

• Xiao Yi remains humble and unaware of the impact of his score on others.
• Lu Ping, a top genius, admits to struggling with the exam and is demoralized by Xiao Yi's score.
• The group chat members are demoralized upon realizing the reason for Xiao Yi's extra point.

Significant Themes

• Genius vs. Average: Xiao Yi's exceptional abilities contrast with the struggles of other students.
• Competition and Comparison: The group chat members compare their scores and abilities, leading to demoralization.
• Humility and Awareness: Xiao Yi remains humble despite his extraordinary achievements.

Character Interactions

• The group chat members discuss Xiao Yi's score, with some guessing he read the papers beforehand.
• Xiao Yi interacts with other candidates before his interview, showing humility and confidence.
• Xiao Yi's interview panel includes Academician Hu and Liu Bin, who seem friendly towards him.

Key Plot Points and Events

• Xiao Yi's interview for university admission lasts less than two minutes, ending with no questions asked.
• Xiao Yi receives an email notifying him that his paper has been accepted and published online by IHES.
• News spreads about Peter Scholze's upcoming conference to present the final report on the abc conjecture, with rumors suggesting he was inspired by a Chinese mathematician's paper.
• A math blogger shares news about Xiao Yi's paper being published in IHES, sparking interest and discussion.

Character Developments

• Xiao Yi remains calm and collected throughout the unusual interview process.
• The blogger "Math and Physics Events" demonstrates curiosity and eagerness to share news about Xiao Yi's paper.

Significant Themes

• The exceptional talent and achievements of Xiao Yi are highlighted, challenging conventional norms and expectations.
• The global recognition of Chinese mathematicians is emphasized, with Xiao Yi's paper being published in a top international journal.

Character Interactions

• Xiao Yi interacts briefly with the interviewers, showing respect and gratitude.
• The blogger "Math and Physics Events" interacts with their audience by sharing news and encouraging discussion in the comments section.

Key Plot Points and Events

• A high school graduate, Xiao Yi, published a paper in the prestigious International Journal of Higher-Order Structures (IHES).
• The news shocks the mathematics community and spreads rapidly on social media.
• The blogger "Math and Physics Events" confirms Xiao Yi's identity and shares his disbelief and admiration.

Character Developments

• Xiao Yi: Emerges as a mathematical prodigy, publishing in a top international journal at an exceptionally young age.
• Blogger "Math and Physics Events": Reflects on his own academic journey and expresses disbelief and admiration for Xiao Yi's achievement.

Significant Themes

• Genius and Talent: Xiao Yi's exceptional mathematical ability challenges the norms of academic achievement and sparks discussions about the gap between individuals.
• Disbelief and Admiration: The news of Xiao Yi's accomplishment evokes feelings of disbelief, admiration, and even envy among mathematicians and netizens.
• Fairness and Comparison: The chapter explores the theme of fairness, with many questioning whether Xiao Yi's achievements are fair to others in the field.

Character Interactions

• Netizens and mathematicians react to the news in various group chats, forums, and social media platforms, expressing their shock and admiration.
• The blogger "Math and Physics Events" interacts with his followers by sharing his personal academic journey and expressing his disbelief at Xiao Yi's accomplishment.
• Xiao Yi, though mentioned, does not directly interact with others in this chapter.

Key Plot Points and Events

• A blog post about a 17-year-old's mathematical achievement goes viral on Weibo, causing a stir in the international mathematics community.
• The paper, written by Yi Xiao, is published in a top international mathematics journal, inspiring Peter Scholze and sparking discussions among mathematicians worldwide.
• The Max Planck Institute for Mathematics in Bonn learns about Yi Xiao's paper, and Peter Scholze expresses interest in communicating with Yi Xiao.

Character Developments

• Peter Scholze is inspired by Yi Xiao's paper and is eager to meet and discuss mathematics with him.
• Gerd Faltings, the former director of the Max Planck Institute, remains involved and brings news about Yi Xiao's paper.

Significant Themes

• Genius and Prodigy: Yi Xiao's exceptional mathematical abilities at a young age are the catalyst for the chapter's events.
• Mathematical Community and Collaboration: The international mathematics community reacts to Yi Xiao's paper, and Peter Scholze looks forward to collaborating with Yi Xiao.

Character Interactions

• Peter Scholze and Jacob Stix discuss Yi Xiao's paper and its implications for their own research.
• Gerd Faltings informs Peter Scholze about Yi Xiao's paper and his age, leaving both Scholze and Stix astonished.

Key Plot Points and Events

• Peter Scholze, a Fields Medal laureate, is surprised to learn about a 17-year-old mathematician named Xiao Yi who has submitted a profound paper to IHES.
• Scholze, along with Faltings and Stix, plans to hold an academic conference in two weeks to discuss Xiao Yi's work and invite him to attend.
• Scholze writes an invitation letter to Xiao Yi, expressing his admiration for Xiao Yi's unique mathematical thinking and offering to cover all expenses for the conference.

Character Developments

• Peter Scholze: Recognizes Xiao Yi's exceptional talent and is eager to meet and discuss mathematics with him.
• Shinichi Mochizuki: Mentioned as a former student of Faltings who became obsessed with the abc conjecture, wasting his talent. Scholze and Stix hope to convince him to resume his research in Far Abelian Geometry.

Significant Themes

• Genius and Prodigy: The chapter highlights Xiao Yi's exceptional mathematical talent at a young age.
• Mentorship and Guidance: Faltings, Scholze, and Stix discuss the importance of guiding young mathematicians like Xiao Yi and Mochizuki.
• Mathematical Innovation: Scholze admires Xiao Yi's unique mathematical thinking and methods, which challenge established conventions.

Character Interactions

• Peter Scholze and Faltings: They discuss Xiao Yi's paper and plan the academic conference. Faltings shares his concerns about his former student, Shinichi Mochizuki.
• Peter Scholze and Stix: They work together to plan the conference and agree to try and convince Mochizuki to resume his research in Far Abelian Geometry.
• Peter Scholze and Xiao Yi (via letter): Scholze expresses his admiration for Xiao Yi's work and invites him to the academic conference.

Key Plot Points and Events

• Xiao Yi receives an email from Peter Schultz, a Fields Medal winner, inviting him to a mathematics conference in Germany on September 13th.
• The conference is about the abc conjecture, a famous unsolved problem in mathematics.
• Xiao Yi decides to attend the conference, even though it coincides with his freshman military training.

Character Developments

• Xiao Yi shows interest and eagerness to attend the conference and learn more about the abc conjecture, demonstrating his passion for mathematics.
• Xiao Yi's fame grows within his Mathematics Department after his paper at IHES, with senior students recognizing and respecting him.

Significant Themes

• The abc conjecture as a significant unsolved problem in mathematics.
• Xiao Yi's passion and dedication to mathematics.
• The recognition and respect Xiao Yi receives from his peers due to his mathematical achievements.

Character Interactions

• Xiao Yi interacts with senior students at his Mathematics Department's registration point, who recognize and respect him due to his paper at IHES.
• Xiao Yi meets with Professor Liu Bin, who shows him the invitation letter from Peter Schultz and expresses curiosity about it.