Chapter Summaries

Key Plot Points and Events

• Wash's Diophantine equation conjecture: aX^4 - bY^2 = 1 has at most two positive integer solutions.
• Shen Qi proves Wash's conjecture using the Thue-Siegel method, Padé approximation, and the Gap criterion.
• Shen Qi plans to submit his paper to top-tier international journals, with Professor Muller's encouragement.
• Mary, a specialist in Number Theory, reviews Shen Qi's paper and experiences a mix of emotions, including frustration and admiration.
• Mary inadvertently dislodges a button from her blouse during a meeting, causing a brief distraction.
• The team agrees to submit Shen Qi's paper and schedules a follow-up meeting to discuss the Riemann zeta function.

Character Developments

• Shen Qi: Proves Wash's conjecture, demonstrating exceptional mathematical skill and growth. He gains confidence and recognition from his peers.
• Mary: Struggles with her emotions upon reviewing Shen Qi's paper, feeling both admiration and envy. She experiences a moment of embarrassment during the meeting.

Significant Themes

• Mathematical Conjectures and Proofs: The chapter explores the process of proposing conjectures and the importance of proving them, highlighting the role of mathematicians in verifying these conjectures.
• Mathematical Growth and Competition: Shen Qi's rapid progress and Mary's struggle to keep up emphasize the competitive nature of mathematical research and the continuous learning and growth required.
• Emotional Struggles in Academia: Mary's internal conflict and embarrassment illustrate the emotional challenges faced by academics, even in a professional setting.

Character Interactions

• Shen Qi and Mary: Their interaction is marked by competition and mutual respect, with Mary struggling to accept Shen Qi's superior skills. Their dynamic is further complicated by Mary's embarrassment during the meeting.
• Shen Qi and Professor Muller: Muller serves as a mentor and advocate for Shen Qi, encouraging him to submit his paper to top-tier journals and facilitating his integration into the academic community.
• The Research Team: The team members collaborate and debate, with Shen Qi and Mary presenting differing viewpoints on the Riemann zeta function, leading to a follow-up meeting to find common ground.

Key Plot Points and Events

• Shen Qi proves the Diophantine Equation Wash Conjecture and submits it to the Journal of the American Mathematical Society.
• He decides to tackle the Riemann Hypothesis next, starting with the Riemann zeta function ζ(2n+1).
• Mary invites Shen Qi for a meeting, suggesting they present a single report for their project at the upcoming academic meeting.

Character Developments

• Shen Qi gains confidence in his mathematical abilities but remains humble in the face of greater mathematical challenges.
• Mary, stressed and exhausted, shows signs of strain from personal issues and work pressure.

Significant Themes

• The pursuit of mathematical excellence and the challenges it presents.
• The impact of personal life on professional achievements.

Character Interactions

• Shen Qi and Mary meet to discuss their collaborative research project. Mary invites Shen Qi to see her latest progress, but their meeting is interrupted by a call from Mary's husband, Peter Schultz.

Key Plot Points and Events

• Shen Qi and Mary collaborate on a paper, marking a significant improvement in their working relationship.
• Their paper, "Riemann Zeta Function ζ(2n+1) Problem," is completed and submitted to a top journal.
• Muller praises their teamwork and acknowledges Shen Qi's significant contribution.
• Shen Qi becomes a co-first author with Mary, with Muller as the second author.
• Muller's team surpasses last year's performance, with Shen Qi as the core figure.
• Muller encourages Shen Qi to tackle the Riemann Hypothesis (RH) independently.

Character Developments

• Shen Qi: He gains confidence and recognition, becoming a co-first author and Muller's favored student. He decides to challenge the RH independently.
• Mary: She improves her attitude towards Shen Qi, recognizing his contributions and working collaboratively with him.
• Muller: He demonstrates his supportive and nurturing nature as an advisor, encouraging Shen Qi to take on the RH independently.

Significant Themes

• Teamwork vs. Individual Effort: The chapter highlights the importance of teamwork in academic research, but also the necessity of individual effort and independent thinking, especially when tackling major challenges like the RH.
• Recognition and Rewards: The characters receive recognition and rewards (co-authorship, praise) based on their contributions, reflecting the pragmatic nature of academic research.
• Patience and Persistence: The RH is presented as a long-term challenge, requiring patience and persistence, as seen in Shen Qi's determination to tackle it.

Character Interactions

• Shen Qi and Mary: Their relationship evolves from tense to collaborative, leading to a successful research project.
• Shen Qi and Muller: Muller mentors Shen Qi, encouraging him to take on the RH independently and offering guidance when needed.
• Muller and his team: Muller fosters a positive research environment, praising his team's progress and providing one-on-one tutoring to Shen Qi.

Key Plot Points and Events

• The chapter discusses the Riemann Hypothesis (RH), a complex mathematical conjecture.
• Shen Qi and Mary collaborate on RH, making progress with two recurrence relations for ζ(2n+1).
• Shen Qi's paper, "Proof of Diophantine Equation Wash Conjecture," is under review in the Journal of the American Mathematical Society.
• Reviewers include Professor Gong Changwei (Shen Qi's senior) and Professor Lavrov (an authoritative expert in Number Theory).

Character Developments

• Shen Qi: Struggles with the RH, has inspirations while drinking and running, but none related to RH. He's unaware of the review process of his paper.
• Mary: Collaborates with Shen Qi on RH, contributing to its progress.
• Gong Changwei: Recognizes the genius of Shen Qi's paper, provides positive feedback, and later discovers Shen Qi is his junior.
• Professor Lavrov: Reviews Shen Qi's paper, provides minor revision suggestions.
• Sun Erxiong: Shen Qi's advisor, learns about Shen Qi's paper from Gong Changwei.
• Ou Ye: Shen Qi's girlfriend, unaware of the paper's submission, feels proud and confused upon learning about it.

Significant Themes

• Mathematical Pursuit: The struggle and dedication of mathematicians in solving complex problems like the RH.
• Mentorship and Legacy: The relationship between Shen Qi, his advisor Sun Erxiong, and his senior Gong Changwei, highlighting the passing down of mathematical knowledge and skills.
• Collaboration and Competition: The cooperation between Shen Qi and Mary, and the competitive nature of mathematical research, with reviewers acknowledging the authors' genius.

Character Interactions

• Shen Qi and Mary: Collaborate on RH, sharing their findings and progress.
• Gong Changwei and Sun Erxiong: Discuss Shen Qi's and Ou Ye's paper, expressing their excitement and pride.
• Shen Qi and Jonas: Discuss their academic paths and personal lives, with Shen Qi feeling lost and Jonas encouraging him to find a new passion.
• Shen Qi and Ou Ye: Communicate via WeChat, with Ou Ye feeling proud and confused about the paper's submission.

Key Plot Points and Events

• Shen Qi expresses interest in Mathematical Physics and Algebraic Geometry, his original passions, after struggling with the Riemann Hypothesis.
• He submits two Number Theory papers to major journals but feels he's neglecting his main fields.
• Shen Qi attends a gathering at the Tiger Inn Dining Club, where he's encouraged to dance and socialize but chooses to drink alone with Mary, a fellow mathematician.
• Shen Qi receives feedback for minor revisions on his co-authored paper with Ou Ye, which is close to being accepted by JAMS.
• The next day, Shen Qi attends an Algebraic Geometry class taught by Edward Witten, who humorously admits he doesn't understand math.

Character Developments

• Shen Qi: Struggles with his mathematical pursuits, feels guilty for neglecting his main fields, and remains socially awkward despite encouragement to dance and socialize.
• Ou Ye: Expresses disappointment in Shen Qi for not telling her about their paper submission, but they maintain a supportive relationship.
• Edward Witten: Shows humility and humor in admitting he doesn't understand math, despite being a renowned physicist and Fields Medal winner.

Significant Themes

• The struggle and dedication required in mathematical pursuits.
• The tension between personal passions and professional responsibilities.
• The importance of social interaction and balance in one's life.

Character Interactions

• Shen Qi and Jonas: Jonas encourages Shen Qi to dance and socialize, but Shen Qi remains reserved.
• Shen Qi and Mary: They share a drink and conversation, with Mary revealing her marital issues through her inebriated state.
• Shen Qi and Ou Ye: They discuss their co-authored paper and express their affection for each other.
• Shen Qi and Edward Witten: They meet for the first time, with Witten teaching Shen Qi's class and humorously admitting he doesn't understand math.

Key Plot Points and Events

• Edward Witten, a physicist, explains his Superstring Theory using mathematical language, earning him the Fields Medal.
• Witten teaches a class on Low-Dimensional Topology, connecting it with String Theory, but most students are bewildered.
• Witten uses chewing gum to illustrate changes in the microscopic world and the concept of higher-dimensional spaces.
• Shen Qi, a student, understands and mimics Witten's chewing gum demonstration, impressing Witten.
• After class, Witten asks Shen Qi about his understanding of String Theory and physics.
• Shen Qi conceives the idea of studying 'Orbifold' in mathematics and decides to pursue it as a research topic.

Character Developments

• Edward Witten: A brilliant physicist who struggles to be understood by his peers and students. He's disappointed with his previous students and hasn't taken on any new ones. He's impressed by Shen Qi's understanding and intuition.
• Shen Qi: A gifted student who initially struggles to understand Witten's lecture but eventually impresses Witten with his understanding and creativity. He decides to pursue a niche research topic in mathematics.

Significant Themes

• The struggle to communicate complex ideas and be understood by others.
• The pursuit of knowledge and creativity in the academic world.
• The intersection of physics and mathematics, particularly String Theory and Topology.

Character Interactions

• Witten and Shen Qi: Witten is initially bewildered by his students' lack of understanding but is impressed by Shen Qi's demonstration. They have a brief but significant conversation after class, leading Shen Qi to pursue a new research topic.

Key Plot Points and Events

• Shen Qi's project "orbifold fundamental group characterization of symplectic orbifold groupoids" is approved.
• Shen Qi's "Proof of Diophantine Equation Wash Conjecture" is nearing publication.
• His "Riemann zeta function ζ(2n+1) problem" is under peer review at Ann-Math.
• Shen Qi struggles with work overload and lack of support, leading to a mental breakdown.
• He attempts to leave Princeton but ultimately decides to stay and continue working.
• Shen Qi's paper with Ou Ye, "Proof of Diophantine Equation Wash Conjecture," is published in the Journal of the American Mathematical Society, earning him a significant reward in scholar points.

Character Developments

• Shen Qi: Struggles with work overload, faces a mental crisis, but ultimately decides to stay and work harder. His dedication to his work is reinforced.
• Professor Muller: Does not provide specific help or discuss details with Shen Qi, leaving him to manage projects alone.
• Mary: Can cooperate with Shen Qi as an equal but not as a subordinate, due to her possessiveness over first authorship.
• Jonas: His reliability is uncertain, and Shen Qi is unsure if he can depend on him.
• Ou Ye: Though not present, her absence is felt, and Shen Qi misses her help and support.

Significant Themes

• The pressure and isolation of academic research, especially in a foreign environment.
• The struggle between individual ambition and the desire for support and collaboration.
• The importance of perseverance and dedication in achieving one's goals.

Character Interactions

• Shen Qi feels unsupported by his colleagues and struggles with the workload alone.
• He misses Ou Ye and considers her as someone who could have helped him, highlighting their close working relationship.
• Shen Qi's interaction with Princeton students is limited, showing his isolation and struggle to fit in.
• Sun Erxiong, Shen Qi's former professor, is proud of his students' achievements and considers nominating them for the Chern Prize in Mathematics.

Key Plot Points and Events

• The author expresses gratitude to the Party, the Government, and readers for their support.
• The author announces that today is the last rest day and promises to release as many chapters as possible, without secretly saving drafts.
• The author urges readers to cast their guaranteed monthly votes.

Character Developments

• The author demonstrates commitment, work ethic, and transparency by promising to release as many chapters as possible on the last rest day and not secretly saving drafts.

Significant Themes

• Gratitude and appreciation for support (Party, Government, readers)
• Commitment and work ethic (promise to release chapters, transparency)
• Encouragement and engagement (urging readers to cast guaranteed monthly votes)

Character Interactions

• The author interacts with readers through the text, expressing gratitude, making promises, and encouraging action (casting guaranteed monthly votes).

Key Plot Points and Events

• The Chern Prize in Mathematics is awarded every two years to young Chinese scholars in mathematics.
• Lu Guozhen and Sun Erxiong discuss nominating Shen Qi and Ou Ye for the prize for their proof of the Wash Conjecture.
• Sun Erxiong informs Shen Qi and Ou Ye about their nomination.
• Shen Qi and Ou Ye are working together on a project called SOZ, with Zhou Yu'an also involved.
• Shen Qi's paper on the Wash Conjecture is discussed at a meeting of Princeton's mathematics department Big Shots.

Character Developments

• Shen Qi: Recognized for his academic achievements, nominated for the Chern Prize, and acknowledged by Princeton's mathematics department Big Shots.
• Ou Ye: Gains recognition alongside Shen Qi for their joint work on the Wash Conjecture, feels happy and confident about their nomination.
• Zhou Yu'an: Feels pressured by Shen Qi and Ou Ye's achievements, envies Ou Ye's success, and feels he needs to rely on himself more.

Significant Themes

• Academic Achievement and Recognition: The chapter emphasizes the importance of publishing in top journals and the recognition that comes with it, both within the academic community and from mentors and peers.
• Collaboration and Competition: The characters work together on projects but also feel competitive, with Zhou Yu'an feeling pressured by Ou Ye's success.
• Mentorship: Sun Erxiong acts as a mentor to Shen Qi and Ou Ye, guiding their careers and supporting their nominations for the Chern Prize.

Character Interactions

• Sun Erxiong and Lu Guozhen: They discuss nominating Shen Qi and Ou Ye for the Chern Prize, with Sun Erxiong handling the specific work of recommending candidates.
• Sun Erxiong and Shen Qi: Sun Erxiong informs Shen Qi about their nomination, with Shen Qi expressing gratitude and excitement.
• Sun Erxiong and Ou Ye: Sun Erxiong informs Ou Ye about their nomination, with Ou Ye expressing gratitude.
• Shen Qi and Ou Ye: They work together on projects and are nominated for the Chern Prize together.
• Zhou Yu'an and Ou Ye: Zhou Yu'an feels pressured by Ou Ye's success and envies her, while Ou Ye encourages Zhou Yu'an to focus on his own work.
• Shen Qi and the Princeton mathematics department Big Shots: Shen Qi attends a meeting of the Big Shots, where his paper on the Wash Conjecture is discussed, and he is asked to share his thoughts on the conjecture.

Key Plot Points and Events

• Charles Fefferman, a mathematical prodigy and Fields Medalist, is now the head of Princeton's Math department.
• Shen Qi, a young mathematical genius, presents his proof of the Wash Conjecture to a panel of esteemed mathematicians, including Fefferman, Elon Lindenstrauss, and Gerd Faltings.
• The panel challenges Shen Qi's methods, leading to a lively debate.
• Shen Qi successfully defends his work and impresses the panel.
• The panel invites Shen Qi to contribute to revising Princeton's Number Theory textbook, acknowledging his achievement as a significant step in his career.

Character Developments

• Shen Qi: Proves his mathematical prowess and gains recognition from the Princeton Math department. His academic understanding and confidence grow significantly.
• Charles Fefferman: Maintains his reputation as a demanding and direct leader of the Princeton Math department.
• Elon Lindenstrauss and Gerd Faltings: Show their expertise in Number Theory and Algebraic Geometry, respectively, and their willingness to challenge and mentor young mathematicians.

Significant Themes

• The high standards and rigorous environment of mathematical research, particularly at Princeton.
• The importance of not only publishing work but also presenting and defending it to gain recognition.
• The mentorship and guidance of established mathematicians to young researchers.

Character Interactions

• Shen Qi and Charles Fefferman: Fefferman challenges Shen Qi's methods, pushing him to defend his work more effectively.
• Shen Qi, Elon Lindenstrauss, and Gerd Faltings: The three Fields Medalists probe Shen Qi's work, initially challenging him but ultimately acknowledging his achievement.
• Shen Qi and the Princeton Math Department: The panel of mathematicians serves as a gatekeeper to recognition and opportunities for Shen Qi, such as contributing to the revision of the Number Theory textbook.

Key Plot Points and Events

• Shen Qi spends 106 days in the U.S., believing it to be a perfect, harmonious, and safe country based on his Princeton campus experience.
• On the 107th day, he's robbed at gunpoint in New York, shattering his illusions about American society.
• Shen Qi and Mary attend a mathematics seminar at Columbia University, where Shen Qi presents his proven Wash Conjecture.
• Shen Qi meets his former idol, Gong Changwei, a mathematics professor at Columbia University.

Character Developments

• Shen Qi: Realizes the disparity between his campus bubble and real-world American society. Gains confidence in his mathematical abilities and expands his academic reputation beyond Princeton.
• Mary: Shows concern for Shen Qi's safety and well-being. Becomes more accepting of Shen Qi's mathematical prowess.

Significant Themes

• The illusion vs. reality of American society.
• The power of mathematics and academic reputation.
• The importance of connections and networking in academia.

Character Interactions

• Shen Qi and Mary: Mary expresses concern for Shen Qi's safety, while Shen Qi shares his frustration about the robbery.
• Shen Qi and Gong Changwei: They meet for the first time, bonding over their shared background as mathematics students from Yanjing University. They discuss potential future collaborations.

Key Plot Points and Events

• Shen Qi meets Mr. Randall from the American Mathematical Society at a seminar, who informs him about the Ford Prize nomination.
• Shen Qi learns about the Ford Prize's nomination fee and seeks Professor Muller's advice.
• Shen Qi decides to participate in the Ford Prize competition using research funds allocated by Professor Muller.
• In China, the selection process for the Chern Prize in Mathematics reaches its final stage, with four candidates shortlisted.

Character Developments

• Shen Qi: Becomes aware of the Ford Prize and its nomination process, decides to compete for it, demonstrating his ambition and commitment to mathematics.
• Mr. Randall: Represents the American Mathematical Society, showcasing the organization's methods and the reality of some award nomination processes.
• Professor Muller: Supports Shen Qi's participation in the Ford Prize competition, showing his mentorship and belief in Shen Qi's abilities.

Significant Themes

• Ambition and competition in the mathematical community.
• The reality and politics behind academic awards and recognition.
• The role of mentors in supporting young mathematicians' careers.

Character Interactions

• Shen Qi and Mr. Randall: Discuss the Ford Prize nomination process, highlighting the differences in academic award systems.
• Shen Qi and Professor Muller: Discuss the Ford Prize, with Professor Muller offering support and research funds for Shen Qi's nomination.
• The expert panel and the president of the Chinese Mathematical Society: Collaborate in the final selection process for the Chern Prize, showcasing the fairness and impartiality of the selection process.

Key Plot Points and Events

• Shen Qi receives a surprise call from Cadre Liu on Christmas Eve, informing him he's won the Chern Prize in Mathematics.
• He learns the award ceremony will take place in Hong Kong and arranges his travel plans.
• Upon arrival in Hong Kong, he meets the president of the Chinese Mathematical Society and prepares for the conference.

Character Developments

• Shen Qi feels lonely and isolated during the Christmas holiday but finds solace in the call from Cadre Liu.
• He experiences a mix of excitement, disbelief, and eventual acceptance of his award.
• Shen Qi demonstrates determination and professionalism in preparing for the conference and mentally rehearsing his acceptance speech.

Significant Themes

• The importance of connections and mentors, as seen through Shen Qi's relationship with Cadre Liu and Professor Sun Erxiong.
• The recognition and rewards of hard work, highlighted by Shen Qi's reaction to winning the Chern Prize and his system reward.

Character Interactions

• Shen Qi interacts with Cadre Liu, expressing his surprise and gratitude for the award.
• He speaks with Professor Sun Erxiong, confirming the award and inquiring about Ou Ye's status.
• Shen Qi meets the president of the Chinese Mathematical Society, discussing the conference and receiving congratulations.

Key Plot Points and Events

• Shen Qi, now 21, is working towards advancing his Math level from 10 to 11.
• He reunites with his relatives and mentor in Hong Kong: Professor Sun Erxiong, his girlfriend Ou Ye, and his friend Zhou Yu'an.
• Shen Qi and Ou Ye haven't seen each other for over half a year, leading to an emotional reunion.
• They share a suite in a five-star hotel, marking a significant step in their relationship.

Character Developments

• Shen Qi: He has improved his mathematical skills and is now a Chern Prize winner. His confidence and maturity have grown, as shown in his interactions with his relatives and Ou Ye.
• Ou Ye: She has been longing for Shen Qi and is nervous about their reunion. Her feelings for him remain strong.
• Zhou Yu'an: He feels a sense of distance from Shen Qi, as Shen Qi has achieved more academically. He's also more reserved and introspective.

Significant Themes

• Love and Longing: The chapter explores the long-distance relationship between Shen Qi and Ou Ye, highlighting the emotional toll of separation and the joy of reunion.
• Maturity and Growth: Shen Qi's academic achievements and his handling of his relationship with Ou Ye demonstrate his personal growth.
• Familiarity and Intimacy: The chapter explores the need for physical intimacy to rekindle the familiar connection between couples after a long separation.

Character Interactions

• Shen Qi and Professor Sun Erxiong: Their relationship is mentor-mentee, with Sun Erxiong guiding Shen Qi's academic pursuits and being proud of his achievements.
• Shen Qi and Ou Ye: Their reunion is emotional and intimate, with Shen Qi reassuring Ou Ye of their connection and love.
• Shen Qi and Zhou Yu'an: Their friendship is shown to have evolved, with Zhou Yu'an feeling a sense of distance from Shen Qi's academic success.

Key Plot Points and Events

• Shen Qi and Ou Ye reunite and confess their love, spending the night together.
• Shen Qi wins the Chern Prize in Mathematics and attends the award ceremony.
• Professor Huang Weifeng, another recipient, makes bold statements about his research and Nobel Prize aspirations.

Character Developments

• Shen Qi: Confirms his love for Ou Ye and is committed to their relationship. He is also confident in his academic achievements.
• Ou Ye: Becomes more affectionate and intimate with Shen Qi. She experiences some physical discomfort after their first time together.
• Professor Huang Weifeng: Shows arrogance and boasts about his research and Nobel Prize ambitions.

Significant Themes

• Love and intimacy: Shen Qi and Ou Ye's relationship deepens as they express their love for each other.
• Academic ambition: Professor Huang Weifeng's bold statements highlight the competitive nature of the academic world.

Character Interactions

• Shen Qi and Ou Ye: Their interactions are affectionate and intimate, solidifying their relationship.
• Shen Qi and Professor Huang Weifeng: Although they don't interact directly, Shen Qi is aware of Professor Huang's boasts and is unimpressed.
• Shen Qi, Sun Erxiong, and Zhou Yu'an: They have a friendly breakfast together, discussing Shen Qi's upcoming award and his parents' visit.

Key Plot Points and Events

• Shen Qi, a 21-year-old math prodigy, receives the Chern Prize in Mathematics.
• He humbly describes himself as an "ordinary person who likes mathematics" during an interview.
• Shen Qi hints at a groundbreaking discovery in the Diophantine equation series of conjectures.
• The award ceremony begins, and Shen Qi is introduced as the youngest recipient in history.

Character Developments

• Shen Qi: He demonstrates humility and subtlety in his responses to reporters, showing maturity beyond his years. He also reveals his passion for theoretical mathematics and hints at future groundbreaking work.
• Huang Weifeng: Despite his humble demeanor, Huang Weifeng is revealed to be a successful capital market operator with significant assets. He expresses his love for theoretical mathematics and shares insights with Shen Qi.

Significant Themes

• Humility vs. Pride: Both Shen Qi and Huang Weifeng display humility, but their true achievements and ambitions are revealed through their conversations.
• Theory vs. Application: The two awardees represent different fields in mathematics – Shen Qi focuses on fundamental theory, while Huang Weifeng excels in applied fields. They share mutual respect for each other's work.
• Poverty and Aspirations: Huang Weifeng's background influences his career choices, highlighting the impact of personal circumstances on one's pursuits.

Character Interactions

• Shen Qi and Huang Weifeng: Despite their age difference and different fields of expertise, the two awardees develop a mutual admiration and respect for each other. They share insights and learn from one another, fostering a harmonious intellectual exchange between the Yanjing School and the Fudan School.

Key Plot Points and Events

• Huang Weifeng, a 39-year-old professor, wins the Chern Prize in Mathematics.
• Shen Qi, a 21-year-old graduate student, also wins the Chern Prize, making him exceptionally young to receive such an honor.
• The Chinese Mathematical Society's decision to award Shen Qi is seen as courageous and strategically significant, aiming to encourage young researchers to engage in major scientific projects early on.
• Shen Qi delivers an acceptance speech at the award ceremony, expressing his love for mathematics and comparing it to a romantic relationship.

Character Developments

• Shen Qi: Confident, passionate, and eloquent in his acceptance speech. He shows humility when facing mathematics experts and expresses his love for mathematics.
• Ou Ye: Nervous about meeting Shen Qi's father, she wants to make a good impression but is unsure how to do so.

Significant Themes

• The love for mathematics as a driving force for academic pursuits.
• The importance of encouraging and supporting young talent in scientific research.
• The courage and determination of the Chinese Mathematical Society in awarding Shen Qi.

Character Interactions

• Shen Qi and Ou Ye: They share a passionate night together, and Ou Ye is nervous about meeting Shen Qi's father. Shen Qi reassures her and helps her prepare.
• Shen Qi and the mathematics experts: Shen Qi shows respect and humility when presenting his work to the experts, despite his young age and achievements.
• Shen Qi and the audience: Shen Qi's acceptance speech moves the audience, with Zhou Yu'an and Ou Ye reacting positively to his words.

Key Plot Points and Events

• Professor Yan questions Shen Qi about the preconditions in his proof of the Wash Conjecture.
• Shen Qi defends his redefinition of the Thue equation, supported by Professor Su Yiwen.
• Shen Qi continues his report, demonstrating his mastery and elegance.

Character Developments

• Shen Qi shows maturity and composure in handling criticism, displaying the demeanor of a master.
• Professor Yan is portrayed as a meticulous scholar who spent eight years researching the Diophantine equation.
• Professor Su Yiwen is introduced as a discerning and supportive expert in the field.

Significant Themes

• The importance of preconditions in mathematical proofs.
• The elegance and composure of a master in intellectual debates.
• The value of thorough research and revision in mathematical work.

Character Interactions

• Shen Qi and Professor Yan engage in a respectful debate about the preconditions of Shen Qi's proof.
• Shen Qi and Professor Su Yiwen form a bond as Shen Qi receives support from Professor Su.
• Sun Erxiong and Professor Su Yiwen subtly acknowledge their shared history, hinting at a past connection.
• Zhou Yu'an observes the interactions between the experts, sensing the historical connection between Sun Erxiong and Professor Su.

Key Plot Points and Events

• Shen Qi presents the final steps of his proof of the Wash Conjecture at the Chinese Mathematicians Conference.
• Academician Wu, a renowned Number Theory expert, arrives late but decides to listen in.
• Professor Yan questions Shen Qi's method, suggesting a more concise approach.
• Academician Wu criticizes Professor Yan's question and decides to ask Shen Qi a question instead.

Character Developments

• Shen Qi remains calm and collected under pressure, showing maturity and confidence in his work.
• Professor Yan is embarrassed by Academician Wu's criticism, revealing his eagerness to challenge Shen Qi's work.
• Academician Wu demonstrates his authority and expertise, commanding respect from the attendees.

Significant Themes

• The pursuit of mathematical truth and perfection.
• The competitive nature of academic research and the desire for recognition.
• The mentorship and guidance of senior experts in the field.

Character Interactions

• Shen Qi and Academician Wu: A tense yet respectful exchange, with Shen Qi showing deference to the older expert's knowledge.
• Professor Yan and Academician Wu: A confrontational interaction, with Academician Wu criticizing Professor Yan's question.
• Shen Qi and Professor Yan: A strained relationship, with Professor Yan trying to challenge Shen Qi's work and Shen Qi feeling annoyed by this.

Key Plot Points and Events

• Shen Qi proves the Wash Conjecture using PLAN-A.
• Old Wu presents PLAN-B, an alternative proof method.
• Shen Qi and Old Wu engage in a mathematical sparring session on the whiteboard.
• Shen Qi receives the Chern Prize in Mathematics.
• Shen Qi and Old Wu have a private conversation after the meeting.

Character Developments

• Shen Qi: Proves a significant mathematical conjecture, receives awards, and engages in a high-level mathematical discussion with Old Wu. He demonstrates maturity, humility, and a deep understanding of mathematics. His mathematical level advances to level 10.
• Old Wu: An accomplished mathematician who engages in a sparring session with Shen Qi, demonstrating his exceptional mathematical skills and a playful, mentoring attitude. He finds inspiration in Shen Qi's work and shares his own ideas.

Significant Themes

• Mathematical Excellence: The chapter highlights the beauty, complexity, and rigor of high-level mathematics, as well as the dedication and passion required to excel in the field.
• Mentorship and Collaboration: The sparring session between Shen Qi and Old Wu illustrates the importance of mentorship, collaboration, and knowledge sharing among mathematicians.
• Loneliness and Connection: Despite their shared love for mathematics, both Shen Qi and Old Wu express a sense of loneliness in their pursuits. Their sparring session provides a moment of connection and mutual appreciation.

Character Interactions

• Shen Qi and Old Wu: Their mathematical sparring session showcases their shared passion, deep understanding, and mutual respect for each other's work. They engage in a playful, high-level discussion that leaves others in awe.
• Shen Qi and the Mathematical Community: Shen Qi's achievements and the subsequent sparring session with Old Wu earn him respect and admiration from the Chinese and American mathematical communities. He is seen as a rising star in the field.