Chapter Summaries

Key Plot Points and Events

• Ou Ye arrives in the US with her parents, surprising Shen Qi.
• Shen Qi meets Ou Ye's parents for the first time and tries to make a good impression.
• The family of four travels to Columbia University in Shen Qi's used car, with Old Ou criticizing the car's condition.
• Aunt Ye defends Shen Qi, appreciating his frugality, while Old Ou continues to express displeasure.

Character Developments

• Shen Qi: Struggles to impress Ou Ye's parents, particularly her critical father, Old Ou. He shows resilience and patience in the face of Old Ou's disapproval.
• Ou Ye: Confirms her relationship with Shen Qi in front of her parents, showing courage and support for Shen Qi.
• Old Ou: Displays a strong protective instinct towards his daughter, being critical and demanding towards Shen Qi.
• Aunt Ye: Shows understanding and support towards Shen Qi, appreciating his frugality and hard work.

Significant Themes

• First impressions and meeting the parents: Shen Qi's interactions with Ou Ye's parents highlight the importance of making a good first impression and navigating the challenges of meeting one's partner's family.
• Cultural differences: The interaction between Shen Qi and Ou Ye's parents touches on cultural differences, with Old Ou's expectations for a car contrasting with Shen Qi's practical approach.
• Family dynamics: The chapter explores the dynamics between Ou Ye and her parents, as well as the tension between Shen Qi and Old Ou.

Character Interactions

• Shen Qi and Old Ou: Their interaction is tense, with Old Ou being critical and Shen Qi trying to appease him.
• Shen Qi and Aunt Ye: They get along well, with Aunt Ye showing understanding and support towards Shen Qi.
• Ou Ye and Shen Qi: They show mutual support, with Ou Ye confirming their relationship in front of her parents and Shen Qi trying to make a good impression on her family.

Key Plot Points and Events

• Ou Ye arrives at Columbia University, where she meets Shen Qi, her boyfriend, who is familiar with the campus.
• Ou Ye's parents accompany her and handle her enrollment and documents.
• Aunt Ye gives Shen Qi a gold fountain pen as a gift, revealing her high social and economic status.
• Ou Ye's family dynamics are explored, showing Aunt Ye's control over finances and Old Ou's military background.

Character Developments

• Shen Qi demonstrates his mathematical prowess, strong political awareness, and adaptability to different cultures.
• Ou Ye is revealed to be from a wealthy family, despite her humble demeanor and excellent academic performance.
• Aunt Ye is portrayed as a generous, politically aware, and influential figure, while Old Ou is more reserved and critical.

Significant Themes

• Wealth and Social Status: The chapter explores the dynamics of wealth and power within Ou Ye's family and the impact of Aunt Ye's influence on Shen Qi's perception of the family.
• Perception vs. Reality: Shen Qi's initial perception of Ou Ye's family is challenged as he learns about Aunt Ye's true role and influence.
• Political Awareness: Shen Qi's strong political convictions and awareness are highlighted, as is Aunt Ye's political standing.

Character Interactions

• Shen Qi and Ou Ye: They interact closely, with Shen Qi questioning Ou Ye about her family's true financial situation.
• Ou Ye's Parents: Old Ou is critical of Shen Qi, while Aunt Ye is generous and favors Shen Qi.
• Shen Qi and Aunt Ye: Shen Qi is impressed by Aunt Ye's generosity and influence, while Aunt Ye is favorably disposed towards Shen Qi.

Key Plot Points and Events

• Ou Ye's parents visit her in the US and meet Shen Qi.
• Shen Qi reassures Old Ou about his intentions towards Ou Ye.
• Old Ou and his wife return to China, leaving Ou Ye in Shen Qi's care.
• Shen Qi and Ou Ye reunite and spend time together at Columbia University.
• Shen Qi returns to Princeton, leaving Ou Ye to settle into her studies.

Character Developments

• Old Ou softens his stance towards Shen Qi after seeing his sincerity towards Ou Ye.
• Shen Qi demonstrates his dedication to Ou Ye and his academic prowess.
• Ou Ye shows maturity and responsibility in her academic pursuits.

Significant Themes

• The power dynamics within Ou Ye's family, particularly the influence of her mother.
• The importance of communication and understanding in relationships (Shen Qi and Old Ou, Shen Qi and Ou Ye).
• The pursuit of academic excellence and the challenges faced by graduate students.

Character Interactions

• Shen Qi reassures Old Ou about his intentions towards Ou Ye, leading to Old Ou's approval.
• Shen Qi and Ou Ye reunite and strengthen their relationship through intimacy and shared academic pursuits.
• Shen Qi meets with Professor Gong Changwei to discuss Ou Ye's academic progress and requirements.
• Shen Qi and Ou Ye part ways as Shen Qi returns to Princeton, demonstrating their mutual support and understanding.

Key Plot Points and Events

• Shen Qi, a graduate student, meets with doctoral students on a Wednesday coffee break.
• Two doctoral students, Chris and Sebastian, claim to have made significant breakthroughs:
  • Chris claims to be on the verge of solving the 1+1 problem of the Goldbach Conjecture.
  • Sebastian claims to have found a general solution to the Yang-Mills equations.
• Sebastian writes his solution on the blackboard, but Shen Qi is skeptical.
• Edward Witten, a renowned physicist present, criticizes Sebastian's work.

Character Developments

• Shen Qi: Shows skepticism and a deep understanding of mathematical and physical theories.
• Chris: Confidently claims to be close to solving a complex mathematical problem.
• Sebastian: Claims to have solved the Yang-Mills equations but lacks convincing evidence.
• Jonas: Specializes in number theory and is unimpressed by Sebastian's claim.
• Edward Witten: Criticizes Sebastian's work, indicating high standards and expectations.

Significant Themes

• The struggle to solve complex mathematical and physical problems.
• The pressure and expectations placed on doctoral students to make significant contributions.
• The tension between mathematical and physical explanations in theoretical research.

Character Interactions

• Shen Qi interacts with various doctoral students, questioning and discussing their claims.
• Chris and Sebastian express mutual admiration and support for each other's claims.
• Edward Witten's presence and criticism add weight to the scene, highlighting the high stakes involved.

Key Plot Points and Events

• Sebastian, a Princeton doctoral candidate, claims to have solved the "Yang-Mills theory and mass gap hypothesis," a significant Millennium Prize Problem in physics.
• Professor Witten criticizes Sebastian's approach but encourages him to continue working on the problem.
• Sebastian and Chris express their determination to solve the problem within five years.
• Shen Qi feels pressured to "show off" his own work after seeing Sebastian and Chris' ambition.
• Witten and Director Feierman discuss Shen Qi's potential employment at Princeton after his doctorate, subtly interviewing him about his academic strengths.

Character Developments

• Sebastian: Ambitious and confident, he believes he can solve the "Yang-Mills theory and mass gap hypothesis" within five years.
• Chris: Shows support for Sebastian's ambition and claims to be working on the 1+1 problem of the Goldbach Conjecture.
• Shen Qi: Feels the need to "show off" his own work after seeing Sebastian and Chris' ambition. He demonstrates his versatility in various branches of mathematics during a casual interview with Witten and Feierman.

Significant Themes

• Ambition and Determination: Characters display varying levels of ambition and determination in tackling complex mathematical problems.
• Mentorship and Encouragement: Witten's criticism is balanced with encouragement, highlighting the importance of mentorship in academia.
• Versatility vs Specialization: Shen Qi's broad range of knowledge in multiple branches of mathematics contrasts with the specialized focus of Sebastian and Chris.

Character Interactions

• Sebastian and Chris: They interact confidently, supporting each other's ambitious claims to solve major mathematical problems.
• Witten and Shen Qi: Witten subtly interviews Shen Qi about his academic strengths, showing interest in his potential employment at Princeton.
• Witten, Feierman, and Shen Qi: They discuss Shen Qi's potential role at Princeton, with Witten and Feierman assessing his abilities and versatility.

Key Plot Points and Events

• Shen Qi reveals he initially wanted Witten as his advisor but Witten didn't know as he wasn't taking students at the time.
• Witten and Feierman discuss Shen Qi's academic achievements and suggest he work as a lecturer after his PhD.
• Shen Qi mentions his "Shen Proximity Theorem" in Banach spaces, which Witten confirms is correct.
• Feierman brings up the Breakthrough Prize and New Horizons awards at an upcoming NASA conference.

Character Developments

• Shen Qi: Shows humility about his achievements and expresses interest in teaching a new course on the history of number theory.
• Witten: Demonstrates expertise in Functional Analysis and space theory, recognizing Shen Qi's theorem.
• Feierman: Exhibits his mathematical prowess and knowledge of Shen Qi's accomplishments, also showing off his own achievements.

Significant Themes

• Academic competition and recognition (awards, journals, professorships).
• Mentorship and academic lineage (Witten as a potential advisor, Feierman's influence).
• The importance of teaching and academic freedom (Shen Qi's desire to teach a new course).

Character Interactions

• Witten and Feierman discuss Shen Qi's future at Princeton, essentially planning his career path.
• Shen Qi shares his latest theorem with Witten and Feierman, seeking their review and recognition.
• Feierman brings up awards to subtly compare his early achievements with those of Witten and Shen Qi.

Key Plot Points and Events

• Shen Qi is recommended by Director Feierman to give a conference report, potentially integrating the 'Muller-Shen Theorem' and the 'Shen Proximity Theorem'.
• The Breakthrough Prize, a significant award in mathematics, is mentioned, with a New Horizons Prize specifically for young scholars.
• Princeton University begins to cultivate Shen Qi, sending him to international conferences and nominating him for awards.
• Shen Qi is invited to teach another semester of recitation classes by the Provost and is offered the position of Professor Muller's research assistant.
• Shen Qi forms a "rocket class" of twelve outstanding undergraduates, teaching them Number Theory and Functional Analysis.

Character Developments

• Shen Qi accepts Director Feierman's recommendation and expresses his intention to win the Breakthrough Prize.
• Shen Qi is recognized as a key focus of Princeton's Mathematics Department's cultivation efforts due to his outstanding performance.
• Shen Qi is invited to teach another semester of recitation classes and forms a "rocket class" of twelve outstanding undergraduates, demonstrating his commitment to teaching and mentoring.

Significant Themes

• The theme of cultivation and nurturing talent is prominent, with Princeton University focusing on Shen Qi's development.
• The importance of academic excellence and original theories is emphasized, with Shen Qi warning his students about the consequences of not advancing in their studies.
• The competitive nature of the academic world is highlighted, with Princeton's Mathematics Department facing challenges from other institutions.

Character Interactions

• Shen Qi interacts with Director Feierman, who recommends him for the conference report and expresses confidence in his abilities.
• Shen Qi interacts with the Provost, who invites him to teach another semester of recitation classes and offers him the position of Professor Muller's research assistant.
• Shen Qi interacts with his "rocket class" of twelve outstanding undergraduates, demonstrating his commitment to their academic development and encouraging them to ask mathematical questions.

Key Plot Points and Events

• Shen Qi clarifies the rules for his recitation class, focusing on Number Theory and Functional Analysis.
• Muhammad asks about Riemann's unpublished expression related to the Riemann Hypothesis.
• Shen Qi spends a night in the library studying Riemann's manuscript, gaining inspiration but unable to concretely write it down.
• Shen Qi's paper, "Shen Proximity Theorem," is accepted by "Inventiones Mathematicae."
• Shen Qi upgrades his Math level to senior master (Level 12) using scholar points.

Character Developments

• Shen Qi: Shows dedication to his teaching and research, particularly in understanding Riemann's work. He upgrades his Math level, improving his logical deduction, observation, judgment, imagination, and memory.
• Muhammad: Demonstrates curiosity and persistence in understanding complex mathematical concepts, challenging Shen Qi's knowledge.

Significant Themes

• The pursuit of mathematical truths, particularly the Riemann Hypothesis.
• The challenges and mysteries in mathematical history, such as Riemann's unpublished expression.
• The importance of dedication and perseverance in academic pursuits.

Character Interactions

• Shen Qi and Muhammad: Muhammad asks a question that Shen Qi cannot fully answer, highlighting the complexity of the Riemann Hypothesis and the limits of Shen Qi's current knowledge.
• Shen Qi and the System: Shen Qi interacts with the System to upgrade his Math level, gaining significant improvements in his mathematical abilities.

Key Plot Points and Events

• Riemann's 8-page paper (1859) laid the foundation for Analytic Number Theory.
• Riemann Hypothesis (RH) states that all non-trivial zeros of the Riemann zeta function have real part 1/2.
• Shen Qi, passionate about writing "History of Number Theory," introduces a new method, the 'twin matching method,' to derive the core expression of ζ(s).

Character Developments

• Shen Qi: Becomes increasingly passionate about his work, stays up all night working, and shares his findings with his girlfriend, Ou Ye.
• Professor Muller: Recognizes the significance of Shen Qi's work, offers support, and agrees to help Shen Qi prove the RH.

Significant Themes

• The power of concise, high-quality work (Riemann's 8-page paper).
• The mystery and allure of unsolved mathematical problems (Riemann Hypothesis).
• Collaboration and teamwork in scientific research (Shen Qi's decision to involve Professor Muller and the team).

Character Interactions

• Shen Qi and Ou Ye: Share their excitement about Shen Qi's potential breakthrough over the phone.
• Shen Qi and Professor Muller: Shen Qi presents his new method and expression to Muller, who is astonished and offers his support. They decide to work together to prove the RH.

Key Plot Points and Events

• Shen Qi's team begins work on the Riemann Hypothesis (RH) using Shen Qi's new framework, the "Shen matching method."
• Shen Qi seeks opinions from prominent mathematicians, including Elon Lindenstrauss and Gerd Faltings, who both support his approach.
• Princeton University's Mathematics Department fully supports Shen Qi's project, listing it as a key departmental project.
• Shen Qi visits Columbia University to see his girlfriend and consult with Gong Changwei, a number theory expert.

Character Developments

• Shen Qi: Gains confidence in his new framework and becomes more pragmatic, seeking validation from other experts.
• Jonas: Initially hesitant, he eventually accepts Shen Qi's new method after indoctrination.
• Mary: Leans towards Shen Qi's approach, showing a shift in her academic beliefs.
• Muller: Provides moral support and resource allocation, acting as a mentor and guide.
• Faltings and Lindenstrauss: Both Fields Medalists, they become technical consultants for Shen Qi's team, offering valuable suggestions and support.

Significant Themes

• Academic progress and the acceptance of new ideas.
• The importance of collaboration and teamwork in scientific research.
• The influence of mentors and peers on a young mathematician's development.

Character Interactions

• Shen Qi interacts with Jonas and Mary, convincing them to accept his new framework.
• Shen Qi seeks opinions from Elon Lindenstrauss, Gerd Faltings, and Gong Changwei, demonstrating his humility and eagerness to learn.
• Muller, Jonas, and Mary work together under Shen Qi's leadership, showcasing unity and harmony within the team.
• Shen Qi's relationship with Ou Ye is mentioned briefly, hinting at a personal connection that could provide emotional support.

Key Plot Points and Events

• Shen Qi visits Gong Changwei at Columbia University.
• Three Chinese mathematicians, including Gong Changwei, are invited to the International Congress of Mathematicians.
• Shen Qi shares his "Shen matching method" for the Riemann Hypothesis with Gong Changwei.
• Shen Qi asks Gong Changwei about Ou Ye's behavior at Columbia University.

Character Developments

• Gong Changwei: Recognizes Shen Qi's potential and ingenuity, acknowledges Shen Qi's approach to the Riemann Hypothesis, and expresses his desire to witness the hypothesis's proof.
• Shen Qi: Gains confidence in his approach to the Riemann Hypothesis, seeks collaboration with Gong Changwei for the next conjecture, and shows concern for Ou Ye's well-being.
• Ou Ye: Shows anxiety when presented with a quadratic equation, but her interest is piqued when she learns it's related to the Riemann Hypothesis. She expresses eagerness to work on the third expression with Shen Qi.

Significant Themes

• Academic Competition and Collaboration: The chapter highlights the competitive nature of the academic world, particularly in the field of mathematics, while also showcasing the importance of collaboration and mutual respect among mathematicians.
• Mentorship and Guidance: The relationship between Shen Qi and Gong Changwei, as well as Shen Qi's guidance of Ou Ye, emphasizes the role of mentors in nurturing young talent.
• The Pursuit of Knowledge: The characters' dedication to their academic pursuits, even in the face of intense competition, underscores the theme of the relentless pursuit of knowledge and truth.

Character Interactions

• Shen Qi and Gong Changwei: The interaction between Shen Qi and Gong Changwei demonstrates mutual respect and a shared passion for mathematics. They discuss the Riemann Hypothesis, potential collaborations, and Ou Ye's progress.
• Shen Qi and Ou Ye: Shen Qi shows concern for Ou Ye's well-being and involves her in his work on the Riemann Hypothesis, indicating his trust in her abilities and his commitment to her academic growth.
• Gong Changwei and Ou Ye (indirect): Although they don't interact directly in this chapter, Gong Changwei mentions that Ou Ye has been well-behaved during her time at Columbia University, indicating a positive relationship between them.

Key Plot Points and Events

• Shen Qi introduces his team to Ou Ye: Mary (German PhD), Jonas (Swedish doctoral student), Professor Muller (advisor), and himself.
• Shen Qi begins teaching Ou Ye core techniques for the Riemann Hypothesis.
• Shen Qi buys sanitary pads for Ou Ye during her period.
• Zhou Yu'an, feeling isolated in his field, confides in Shen Qi about wanting to switch research directions.
• Shen Qi perfects the first expression of the Riemann Hypothesis ζ(s) with his team's help.
• Shen Qi collaborates with Professor Faltings on the second expression of ζ(s).

Character Developments

• Ou Ye shows aptitude and dedication in learning the core techniques.
• Zhou Yu'an gains clarity and renewed determination in his research direction after talking to Shen Qi.
• Shen Qi demonstrates leadership, patience, and support in guiding his team and comforting Zhou Yu'an.

Significant Themes

• Teamwork and collaboration in scientific research.
• Overcoming personal challenges and maintaining dedication (Ou Ye's period, Zhou Yu'an's research struggles).
• The pursuit of mathematical breakthroughs and the excitement of discovery.

Character Interactions

• Shen Qi and Ou Ye: They support each other in their shared goal of proving the Riemann Hypothesis, with Shen Qi guiding Ou Ye and treating her with care.
• Shen Qi and Zhou Yu'an: Shen Qi offers encouragement and advice to Zhou Yu'an, helping him find his path in research.
• Shen Qi and Professor Faltings: They collaborate on the second expression of ζ(s), demonstrating mutual respect and productive teamwork.
• Shen Qi and his team (Mary, Jonas, Professor Muller): They work together to perfect the first expression of ζ(s), with Shen Qi leading the effort.

Key Plot Points and Events

• The author has been unwell for a couple of days, suffering from a toothache and a sore backside.
• Due to their discomfort, they have only been able to publish one update per day.
• The author plans to go out for fresh air, get some herbal tea, practice self-care, and rest early to recuperate.
• They expect to return to publishing two updates the next day.

Character Developments

• The author shows responsibility and dedication to their work, despite being unwell.
• They display self-awareness and prioritize self-care to ensure they can continue working.

Significant Themes

• Health and Well-being: The author's focus on their health and the importance of self-care.
• Responsibility and Dedication: The author's commitment to their work, even when unwell.
• Communication: The author keeps their audience updated about their situation.

Character Interactions

• The author directly addresses their audience, asking for their support (votes with monthly passes) once they resume their regular update schedule.

Key Plot Points and Events

• Shen Qi compiles a 30-page manuscript, preliminarily proving the Riemann Hypothesis (RH) using his "Shen matching method" (later renamed "twin matching method").
• He sends the abstract of his proof to the Breakthrough Prize organizing committee, causing shock and disbelief.
• Shen Qi rehearses his report in Muller's office, making the manuscript publicly available internally. Muller raises the need for further expressions to support the complete proof of RH.
• Shen Qi and his team attend the Breakthrough Prize conference and awards ceremony in Washington.

Character Developments

• Shen Qi: Proves the Riemann Hypothesis, gains confidence, and demonstrates leadership by compiling the manuscript and managing team dynamics.
• Professor Muller: Recognizes Shen Qi's achievement, encourages further work, and supports Shen Qi's claim to the preliminary proof.
• Mary and Jonas: Contribute significantly to the proof, express excitement and deeper expectations, and look forward to recognition.

Significant Themes

• The importance of ideas, logic, imagination, inspiration, and luck in mathematical research.
• The collaborative nature of scientific progress, with Shen Qi as the soul of the team.
• The significance of staking a claim in academic research, as Shen Qi's team is the first to preliminarily prove RH using the "twin matching method."

Character Interactions

• Shen Qi interacts with the organizing committee, reassuring them of his seriousness and securing approval for his report.
• Shen Qi, Muller, Mary, and Jonas discuss the proof, future work, and potential recognition, strengthening their team bond.
• Shen Qi invites Mary and Jonas to a celebratory drink, regardless of the award outcome, fostering camaraderie and shared accomplishment.

Key Plot Points and Events

• The Breakthrough Prize conference begins, featuring academic reports in life sciences, fundamental physics, and mathematics, with the final day dedicated to awards.
• Mathematicians gather, with Shen Qi's claim to have proven the Riemann Hypothesis drawing significant attention.
• Shen Qi meets with Gong Changwei, Faltings, and Maynard, discussing the Riemann Hypothesis and his upcoming report.

Character Developments

• Shen Qi: A 22-year-old Chinese mathematician from Princeton, claiming to have proven the Riemann Hypothesis using the 'twin matching method.'
• Gong Changwei: A Chinese mathematician from Columbia University, nominated for the Breakthrough Prize, who believes in Shen Qi's potential.
• Alessio Faltings: An Italian mathematician from Princeton, known as a "supercharged Terence Tao," who praises Shen Qi's academic level.
• James Maynard: A British mathematician from Oxford, skeptical of Shen Qi's claim, who challenges him politely.

Significant Themes

• The pursuit of mathematical truth and the quest to prove the Riemann Hypothesis.
• The competitive nature of academia and the struggle for recognition among mathematicians.
• The role of age and experience in academic achievements.

Character Interactions

• Shen Qi greets Gong Changwei, Faltings, and Maynard, discussing the Riemann Hypothesis and his upcoming report.
• Maynard challenges Shen Qi's claim, while Faltings mediates the conversation.
• Shen Qi remains composed and confident in his upcoming report.

Key Plot Points and Events

• Shen Qi attends an academic conference where prominent mathematicians present their work.
• Gong Changwei and Professor Faltings deliver outstanding reports, earning praise and recognition.
• Shen Qi gives a presentation on the 'Muller-Shen Theorem' and his proof of the Riemann Hypothesis, drawing significant attention.

Character Developments

• Shen Qi: Shows confidence and control during his presentation, demonstrating his ability to handle pressure.
• Gong Changwei: Recognized for his exceptional research achievements and considered a strong contender for the Fields Medal.
• Professor Faltings: Amathmatician with remarkable achievements, expected to win the Fields Medal and the Breakthrough Prize in Mathematics.

Significant Themes

• Competition and recognition in the mathematical community.
• The influence of academic institutions (Princeton vs. Paris school) on award outcomes.
• The pressure and anticipation surrounding Shen Qi's presentation on the Riemann Hypothesis.

Character Interactions

• Shen Qi and Professor Faltings: Shen Qi impresses Professor Faltings with his knowledge and humility, leading to a friendly exchange.
• Shen Qi and James Maynard: Unstated competition between their teams in proving the Riemann Hypothesis.
• Mathematicians in the audience: Various reactions to Shen Qi's presentation, ranging from skepticism to anticipation.

Key Plot Points and Events

• Shen Qi presents a report on the "Muller-Shen Theorem and the Supplement on Proximinality in Banach Spaces," finishing early.
• He announces the global debut of the second part of his report: "The Proof of the Riemann Hypothesis Based on the Twin Matching Method."
• Shen Qi reveals his team's impressive lineup, including two Fields Medalists as technical advisors.

Character Developments

• Shen Qi demonstrates his prowess and confidence as a mathematician, captivating the audience.
• Other mathematicians, such as Gong Changwei and Maynard, show surprise and anticipation, sensing Shen Qi's potential breakthrough.

Significant Themes

• The pursuit of mathematical truth and the thrill of discovery.
• The competitive nature of the mathematical community and the desire for recognition and fame.
• The power of collaboration and the role of mentors and advisors in mathematical research.

Character Interactions

• Shen Qi interacts with the audience, building suspense and excitement as he presents his work.
• Mathematicians in the audience react with surprise, anticipation, and restlessness, showing their engagement with Shen Qi's presentation.
• Shen Qi's team members, though not present, are implicitly acknowledged as crucial to his success.

Key Plot Points and Events

• Shen Qi presents a proof for the Riemann Hypothesis using the 'twin matching method' at an international conference.
• He shares two core expressions for ζ(s), causing a sensation among mathematicians.
• The audience is excited and overwhelmed by the implications of his findings.
• Shen Qi hints at further work on the Goldbach Conjecture and the ultimate mystery of prime numbers.
• The IMU verifies Shen Qi's work and plans to invite him to present at the International Congress of Mathematicians.

Character Developments

• Shen Qi demonstrates his mathematical prowess and confidence, becoming a global academic star.
• Mathematicians worldwide are impressed and excited by Shen Qi's work, acknowledging its significance.

Significant Themes

• The pursuit of mathematical truth and the excitement of discovery.
• The global recognition and impact of a mathematician's work.
• The potential applications of theoretical mathematical findings in the real world.

Character Interactions

• Shen Qi interacts with the audience, presenting his findings and answering questions.
• Mathematicians worldwide react to Shen Qi's work, expressing excitement, shock, and admiration.
• The IMU representative communicates with Shen Qi, delivering news about his work's recognition and upcoming opportunities.

Key Plot Points and Events

• Shen Qi uploads his proof of the Riemann Hypothesis to arXiv.
• The IMU acknowledges Shen Qi's "Shen Proximity Theorem" and reports his Riemann Hypothesis presentation.
• Shen Qi receives widespread congratulations and recognition on his WeChat.
• Shen Qi attends the final day of the conference, expecting to win the "New Horizons in Mathematics Prize."

Character Developments

• Shen Qi remains humble and composed despite his achievements and the media attention.
• He demonstrates a relaxed mindset and confidence in his abilities while interacting with reporters.

Significant Themes

• Recognition and Acknowledgment: Shen Qi seeks recognition from the IMU and the international mathematical community for his work on the Riemann Hypothesis.
• Honor and Titles: Shen Qi values awards and prizes as symbols of his achievements and contributions to the mathematical community.
• Living with Dignity: Shen Qi prioritizes living a dignified life, finding more meaning in honor and titles than in monetary rewards.

Character Interactions

• Shen Qi interacts with reporters from various media outlets, answering their questions about his Riemann Hypothesis proof and award expectations.
• He listens to and learns from other mathematicians' presentations during the conference.

Key Plot Points and Events

• The Breakthrough Prize ceremony awards scientists in physics and mathematics.
• Shen Qi, expecting to win the 'New Horizons Award for Mathematics,' is surprised when James Maynard is announced as the winner instead.
• Shen Qi then wins a share of the prestigious 'Breakthrough Prize in Mathematics' alongside Gong Changwei and Alessio Figalli.

Character Developments

• Shen Qi initially feels disappointed and embarrassed but quickly recovers composure and congratulates Maynard.
• Shen Qi's pride and ambition are highlighted when he feels he can't afford to lose face after boasting to the media.

Significant Themes

• The importance of mathematics and physics in modern society and their funding.
• The prestige and recognition associated with awards in these fields.
• The element of surprise and unexpected outcomes in the awards ceremony.

Character Interactions

• Shen Qi shakes hands with James Maynard after he wins the award Shen Qi expected.
• Shen Qi is invited to the stage with Gong Changwei and Alessio Figalli to receive the 'Breakthrough Prize in Mathematics.'