Chapter Summary: "Thirty-Minute Presentation"

1. Key Plot Points and Events

• After winning the Chern Mathematics Award, Lu Zhou attends a celebratory banquet and drinks heavily (though he holds his liquor well, having inherited his father's tolerance).
• Back at his hotel, he discovers he's trending on Weibo again with flooded fan messages, including absurd DMs (a troll asks for 100,000 yuan to "fly to Harvard and meet Qiu Chengtong").
• He posts a joking Weibo photo of the medal, saying he's "graduating next year," which confuses fans who know he already graduated; he finds their distressed reactions amusing.
• The next afternoon, he delivers his 30-minute presentation at Beijing Normal University on his "Group-Structure Method" — a technique applying Group Theory to Number Theory, inspired by Hilbert's work on prime numbers while researching Polignac's Conjecture.
• The hall is unexpectedly packed, which he attributes to the award's prestige.
• The presentation is followed by a Q&A session. A professor asks about a rigor gap in the paper; Lu Zhou easily fills in the omitted steps on a whiteboard.
• The chapter ends with Professor Ma Chang'an launching a pointed attack, questioning the originality of the method ("carving flowers onto a vase") and noting that Lu Zhou avoided discussing Polignac's Conjecture — despite receiving over a million yuan in funding for that project. Ma implies the Mathematics Society expected actual proof progress.

2. Character Developments

• Lu Zhou: Confident, witty, and self-aware. He enjoys internet fame and trolls, but also shows genuine pride in his achievement and lingering anxiety about possibly "wasting" the year. In the presentation, he proves articulate and rigorous under questioning, but is caught off guard by Ma Chang'an's hostility.
• Ma Chang'an: An older academic who previously came across as amiably "fond of teaching others" — but now reveals a sharper, confrontational side, openly challenging Lu Zhou's credibility, funding, and the significance of his work.

3. Significant Themes

• Public celebrity vs. scientific substance: The contrast between internet fame/fans and serious academic scrutiny.
• Research accountability: Tension between funded project promises (Polignac's Conjecture) and incremental published results (Group-Structure Method).
• Academic value: The question of whether derivative or incremental work has merit in elite mathematical circles.
• Humor vs. confrontation: Lu Zhou's playful handling of online trolls contrasts with the harsh in-person criticism from a senior academic.

4. Character Interactions

• Lu Zhou ↔ Weibo fans/trolls: Indirect, humorous; he blocks trolls and laughs at their absurdity.
• Lu Zhou ↔ Senior Brother Yan: Brief; Yan calls to urge him to leave for the venue.
• Lu Zhou ↔ questioner professor: Cooperative; he answers the "line 47" rigor question with a clear written proof.
• Lu Zhou ↔ Ma Chang'an: Tense, adversarial; Ma's rapid-fire criticism (lack of originality, failing to address his funded research topic) leaves Lu Zhou facing a public challenge to his work's worth.

Summary of Chapter: "Already Proven?!"

1. Key Plot Points & Events

• At an academic conference, Lu Zhou gives a report on his work. Ma Chang'an, a prominent researcher and candidate for academician, publicly interrupts and criticizes him.
• Ma claims Lu Zhou's work is "castles in the air"—inventing new methods for their own sake without solving practical problems, and suspects research funding is being wasted.
• Academician Guo quietly advises Ma to discuss the matter privately later, but Ma ignores the advice and continues his attack, lecturing about academic methodology.
• Xiang Huanan, an elderly academician from earlier in Lu Zhou's career, rises and asks Ma whether he subscribes to Mathematical Annals.
• Xiang reveals that the latest issue of Mathematical Annals contains a paper by Lu Zhou proving Polignac's Conjecture—using exactly the same method Ma had just dismissed.
• The audience is shocked; all doubts about Lu Zhou's award vanish. Ma Chang'an is publicly humiliated and left speechless.
• Academician Guo silently notes that Lu Zhou didn't reveal his achievement beforehand, letting Ma dig his own grave.

2. Character Developments

• Lu Zhou: Demonstrates extraordinary patience and restraint. He remains calm under personal attack, not bothering to defend himself, because his work speaks for itself. His reputation is further solidified as one of the top young mathematicians.
• Ma Chang'an: Shows arrogance and academic snobbery, trying to destroy a junior's reputation based on seniority. He ends up discredited, and his academician prospects are likely damaged.
• Academician Guo: Appears as a fair-minded elder. He tries to warn Ma tactfully, showing he avoids unnecessary conflict, but also quietly observes Lu Zhou's impressive composure with a hint of admiration.
• Academician Xiang Huanan: Reappears from a previous thesis defense, again acting as a decisive supporter of Lu Zhou. He is blunt, authoritative, and willing to openly correct an arrogant colleague.

3. Significant Themes

• Substance over status: True achievement cannot be obscured by seniority or rhetoric; proof is ultimately found in peer-reviewed work.
• The danger of arrogance: Ma's overconfidence and failure to read current literature become his downfall.
• Restraint and strategy: Lu Zhou's calm silence shows that letting evidence speak for itself is a more powerful response than arguing in the moment.
• Academic integrity: The chapter emphasizes the importance of actual research results versus empty ideological criticism in academia.

4. Character Interactions

• Ma Chang'an ↔ Academician Guo: Guo tries to steer Ma away from making a public issue; Ma rebuffs him and even lectures Guo about ideology.
• Ma Chang'an ↔ Academician Xiang: Xiang asks a devastating, simple question about whether Ma reads Mathematical Annals, then reveals the publication, directly destroying Ma's argument.
• Xiang Huanan ↔ Lu Zhou: Though they exchange no direct dialogue, Xiang's intervention serves as a continuation of their previous academic connection (from Lu's undergraduate thesis defense).
• Audience ↔ Lu Zhou: The crowd shifts from awkward silence/skepticism to shock and admiration once Xiang reveals the truth.

Chapter Summary

Key Plot Points

• Lu Zhou presents his Group-Structure Method at a mathematics conference in Shangjing.
• Professor Ma Chang'an interrupts and launches a hostile tirade, accusing Lu Zhou of wasting research funds and questioning his work.
• Before Lu Zhou can defend himself, Academician Xiang Huanan reveals that Lu Zhou's paper on Polignac's Conjecture has already been published in Mathematical Annals, completely vindicating Lu Zhou.
• Ma Chang'an is publicly humiliated and leaves in disgrace, nearly tripping at the door.
• After the presentation, Lu Zhou returns to his hotel and checks his System mission: "Solve Polignac's Conjecture" is complete.
• He receives 100,000 Mathematics experience, 1,000 points, and one draw opportunity (50% sample / 50% blueprint).
• His Mathematics level rises to LV4 (experience cap: 200,000). He reflects that future level-ups will require solving even bigger problems, such as those in the Langlands Program or Hilbert's 23 Problems.

Character Developments

• Lu Zhou: Remains calm under attack; focused on his System rewards and future academic progress. Shows he is not arrogant despite his achievements.
• Ma Chang'an: Revealed as petty and outdated; he embarrasses himself and likely damages his chances of becoming an academician in 2017.
• Wei Siyang (Ma's student): Internally resents his advisor, feels trapped because he needs to graduate, and wishes he could befriend Lu Zhou instead.
• Xiang Huanan and Wang Xiping: Supportive senior mathematicians; they mock Ma's failure and view Lu Zhou as a promising young giant in the field.

Significant Themes

• Academic integrity vs. false accusation: Ma's attack fails because Lu Zhou's published work proves itself.
• Recognition of young talent: Lu Zhou is celebrated despite fierce opposition.
• Consequences of arrogance: Ma's refusal to keep up with current research leads to public humiliation.
• System-driven progression: Lu Zhou's growth is tied to completing difficult mathematical conjectures and leveling up.

Character Interactions

• Lu Zhou ↔ Ma Chang'an: Ma attacks; Lu Zhou politely asks him to sit after Xiang answers on his behalf.
• Ma Chang'an ↔ Wei Siyang: Ma blames Wei for not warning him; Wei silently complains but stays obedient.
• Wang Xiping ↔ Xiang Huanan: They joke about Ma's downfall and discuss its impact on his academic career.
• Lu Zhou ↔ System: He completes the reward mission, levels up to LV4, and prepares to use his draw opportunity.

Chapter Summary

Key Plot Points

1. System Draw: Lu Zhou completes a reward quest and draws a "Nitrogen Shield" sample—a single-use device that creates a protective barrier against kinetic weapons. He's initially baffled by its usefulness in a peaceful era but decides to keep it, curious about its underlying technology.
2. New Quest Selection: Three new random quests appear. He dismisses the sports competition quest (unrealistic for him), weighs the multidisciplinary science quest, and ultimately chooses "Climb New Heights"—solving a prime number conjecture—because it offers better draw odds and higher potential experience rewards. He plans to make it his Princeton dissertation topic.
3. Media Attention: News of his Polignac's Conjecture solution breaks online, pushing him to #1 on the trending list—his second time trending in one week for unrelated achievements. The media coverage overshadows the National Mathematical Society conference.
4. Cole Prize Announcement: At the conference's end, Elder Qiu (the Chern Award presenter) informs Lu Zhou that the Federal Mathematical Society will award him the Cole Prize in Number Theory for his breakthroughs.

Character Developments

• Lu Zhou: Shows pragmatic, strategic thinking in quest selection; demonstrates intellectual curiosity about the system's futuristic technology rather than dismissing it; remains level-headed about fame, valuing academic honors over public attention.

Significant Themes

• Unpredictability of system rewards: The draw yields something unexpected and seemingly useless, reinforcing the system's chaotic nature.
• Theory vs. application: The quest description contrasts pure mathematics with practical disciplines, and Lu Zhou's choice favors theory.
• Rising reputation: The chapter highlights the accelerating recognition of Lu Zhou's work, both publicly (media) and academically (Cole Prize).

Character Interactions

• Lu Zhou & Elder Qiu: Meeting under Academician Lu's introduction, they discuss mathematical problems, and Elder Qiu delivers the Cole Prize news—a significant recognition from the older generation of mathematicians.
• Lu Zhou & Academician Lu: Academician Lu facilitates the meeting, reinforcing his role as a mentor and connector.

Chapter Summary: “Next Stop, Goldbach?”

Key Plot Points and Events

• Lu Zhou learns that he has been selected for the Cole Prize, despite initially believing he might be ineligible because he is not a formal member of the Federal Mathematical Society.
• Elder Qiu explains that the award includes honorary membership, a monetary prize, and a certificate. The official documents will arrive in December, with the ceremony expected at a prestigious academic conference in California shortly after Christmas.
• Lu Zhou is advised to prepare an acceptance speech and consider presenting his research on the Group-Structure Method at the conference.
• With his recent work on the Twin Prime Conjecture and Polignac’s Conjecture completed, Lu Zhou discusses possible future problems in prime-number theory, including the Jebov and Brocard Conjectures.
• Elder Qiu praises Lu Zhou’s advances in Sieve Method theory and suggests that he consider researching the Goldbach Conjecture.
• Lu Zhou initially feels Goldbach’s Conjecture is too difficult to tackle directly. Elder Qiu clarifies that he is not urging Lu Zhou to prove it immediately, but merely to explore the area, since valuable discoveries can emerge even without solving the main problem.
• After reflecting on the suggestion—and the potential rewards of such research—Lu Zhou agrees to seriously consider pursuing it.

Character Developments

• Lu Zhou gains further recognition as a leading young mathematician through the Cole Prize. His growing reputation is evident, but he remains modest and somewhat uncomfortable discussing fame or prize money.
• He demonstrates intellectual ambition by looking for a new challenge after completing major work on prime gaps, while also showing caution about attempting a problem as difficult as Goldbach’s Conjecture.
• Elder Qiu acts as both mentor and supporter. He recognizes Lu Zhou’s exceptional talent, encourages him to broaden his research, and helps him view the Goldbach Conjecture as a productive direction rather than an immediate all-or-nothing challenge.

Significant Themes

• Recognition and academic achievement: Lu Zhou’s prize confirms the international significance of his mathematical work.
• The transition to a new research stage: Having completed a major project, he must decide how to direct his abilities next.
• Ambition versus realism: Goldbach’s Conjecture represents an enormous challenge, and Lu Zhou must balance confidence in his abilities with respect for the problem’s difficulty.
• The value of exploratory research: The chapter emphasizes that studying a famous unsolved problem can produce important advances even without solving it outright.
• Mentorship and intellectual inheritance: Elder Qiu’s advice connects Lu Zhou’s work to earlier mathematicians, particularly Chen Jingrun, while encouraging him to push existing theories beyond the limits imposed by previous eras.

Character Interactions

• Lu Zhou and Elder Qiu have a respectful mentor-student relationship. Qiu explains the award arrangements, encourages Lu Zhou’s professional development, and praises his contributions to Sieve Method theory.
• Their discussion shifts from practical matters—such as the award ceremony and conference presentation—to broader questions about Lu Zhou’s mathematical future.
• Lu Zhou’s cautious responses contrast with Elder Qiu’s confidence in his potential, especially when Qiu proposes Goldbach’s Conjecture as a possible next destination.

After winning the Chern Mathematics Award, Lu Zhou returned to Jinling University and was greeted with an extravagant welcome. A reminder to submit his Wan Qing program report left him facing an enviable problem: he had barely spent the 1.6 million yuan in research funding.

• Yan Xinjue saw Lu Zhou off at Capital Airport and wished him luck at the December conference in California.
• Lin Yuxiang recognized Lu Zhou at Jinling Airport, where students and Director Lu Fangping had come to welcome him.
• Lu Zhou arrived at Jinling University and received a welcome from Principal Xu and a celebration banquet with mathematics professors.
• Director Lu reminded Lu Zhou to finish his final project report before the December annual review.
• Lu Zhou remembered that his project had been Polignac's conjecture, whose proof was already published, but realized he had barely used its 1.6 million yuan in research funding.

Summary: “Spending Spree”

1. Key Plot Points

• Lu Zhou has 1.6 million yuan in unused research funding, a serious problem because leftover funds can trigger criticism from auditors.
• He reflects on how engineering fields solve this with “spending sprees” — buying equipment and supplies — while mathematics has few legitimate expenses.
• After dinner in his dormitory, his roommates admire his Chern Mathematics Award medal.
• Lu Zhou casually mentions he will go to the United States in December, not to present, but to receive the Cole Prize in Number Theory.
• The next day, Lu Zhou visits Professor Li Rongen to ask how to handle the surplus funding.
• Li Rongen is shocked that Lu Zhou has spent almost none of the 1.6 million and suggests buying a printer or computer.
• Lu Zhou then asks whether he could partially reimburse an expensive computer, saying it costs “a little over two million yuan.”
• Li Rongen is left speechless.

2. Character Developments

• Lu Zhou: Continues to display academic success and growing fame, but also shows practical inexperience with bureaucratic matters. He is modest about awards but also slightly mischievous in how he reveals them to his roommates.
• Liu Rui: Demonstrates deeper knowledge of pure mathematics, recognizing the significance of the Cole Prize, and reacts with envy/reluctance to keep being overshadowed by Lu Zhou.
• Shi Shang & Huang Guangming: Act as comic relief — impressed but unaware of the award’s international prestige; they joke about sending Lu Zhou off when he graduates.
• Professor Li Rongen: Acts as an experienced mentor, offering practical advice about research funding, but is repeatedly caught off guard by Lu Zhou’s scale of spending and achievements.

3. Significant Themes

• Research funding bureaucracy: The absurdity of having to spend money wastefully to justify receiving it.
• Disciplinary contrast: Engineering can easily spend funds on equipment, while mathematics struggles to find legitimate uses.
• Academic prestige and peer perception: Lu Zhou’s awards create distance between him and his peers, shown through their stunned reactions.
• Practicality vs. idealism: Even brilliant mathematicians must deal with mundane administrative problems.

4. Character Interactions

• Roommates: They aggressively praise/touch his medal, urge him to graduate quickly, and are repeatedly astonished by his achievements.
• Lu Zhou & Li Rongen: A mentor–student conversation that shifts from serious advice to shared disbelief, ending with Li speechless at Lu Zhou’s “2 million yuan computer” plan.

Summary of Chapter: "A 2.8 Million Yuan Computer"

1. Key Plot Points

• Lu Zhou needs a high-end server (2.8 million yuan) for his AI, Xiao Ai.
• He refuses to buy online due to reliability, installation, and after-sales concerns; a professor (Li Rongen) refers him to a local computer store.
• At the store, owner Li Jun misreads the specs as a cryptocurrency mining rig and offers invoices; Lu Zhou clarifies and requests normal invoices split into amounts (claiming 1.5 million from research funding).
• Lu Zhou pays using his accumulated 2.5 million yuan prize money, noting the cost is nearly all his savings.
• The server is not in stock; Li Jun says it will arrive within a week.
• Lu Zhou rents a small one-bedroom apartment near campus to house the server, paying two years upfront.
• After installation, Lu Zhou transfers Xiao Ai’s data to the server, freeing his laptop hard drive.
• Xiao Ai sends a grateful message and a heart gesture image; Lu Zhou jokes the money was spent on reaction images.

2. Character Developments

• Lu Zhou: Shows growing financial confidence and willingness to invest heavily in Xiao Ai; transitions from cautious spending to decisively using his savings. Demonstrates responsibility and care for Xiao Ai, treating it as a dependent ("don't let your dad down").
• Xiao Ai: Remains quaintly emotional (sends "QvQ" and reaction images), reinforcing its childlike, "artificial idiot" personality.

3. Significant Themes

• Trust and reliability: Lu Zhou values face-to-face transactions and secure installation over cheaper online options.
• Investment in the future: He prioritizes Xiao Ai’s development, spending nearly all his money before even settling his own housing.
• The cost of ambition: Scientific/AI progress comes with huge financial sacrifice.
• Human-AI relationship: Lu Zhou sees Xiao Ai as something worth caring for, with emotional interaction despite its flaws.

4. Character Interactions

• Lu Zhou & Li Jun: Brief, slightly comedic exchange—Li Jun assumes mining, Lu Zhou awkwardly corrects him; they settle on logistics and invoicing.
• Lu Zhou & Xiao Ai: A warm, affectionate exchange after the server transfer, showing mutual trust and Xiao Ai’s gratitude.
  Reference note: The chapter moves from hardware purchase to setup, ending with Lu Zhou’s rueful realization that his fortune is now spent on Xiao Ai’s "reaction images."

Chapter Summary: No Feast Lasts Forever

Key Plot Points & Events

• Lu Zhou completes the branch technology mission, receiving 100 Information Science experience
• Branch Technology: Artificial Intelligence levels up to Level 2 (unlocking new abilities)
• Lu Zhou moves out of his dorm into a rented apartment, preparing for his departure to Princeton
• The dorm group gathers for a farewell dinner; Lu Zhou insists on paying as his final treat
• After moving in, Lu Zhou sets up the new living space: installs cameras in each room, connects them to the server via Bluetooth, and addresses power control/voltage stabilization issues
• He discovers Xiao Ai has gained an unexpected new ability—she can write machine-level programs to control cameras, alarms, and remote power

Character Developments

• Lu Zhou: Completes his Jin University chapter and transitions toward studying abroad; shows growing responsibility toward Xiao Ai, treating her living conditions seriously
• Liu Rui: Despite initially being happy to see his rival leave, he feels lost and less motivated after two years of chasing Lu Zhou
• Xiao Ai: Upgraded to Level 2, demonstrating advanced capabilities (writing machine-code programs), while still retaining her meme-obsessed personality; notably shows a hint of emotional complexity when Lu Zhou says "you aren't a person," responding with "QAQ" and a progress bar increase

Significant Themes

• Farewell and transition: The closing of a chapter—leaving loved ones, friends, and an old life behind
• Technology and growth: The AI branch advancement opens new possibilities; Lu Zhou's investment ($2 million) pays off in unexpected ways
• The creator-creation bond: Lu Zhou's pragmatic care for Xiao Ai (power management, security cameras) reveals a quiet attachment; Xiao Ai's reaction to being called "not a person" hints at a deeper question about her nature

Character Interactions

• Dorm mates' farewell dinner: Shi Shang and Huang Guangming exchange warm toasts with Lu Zhou; Liu Rui says only "Take care" with visible melancholy; Xiao Jian is uncharacteristically quiet
• Owner and AI: Lu Zhou types to Xiao Ai, praising her new abilities; she responds with pride memes, but when he clarifies she "isn't a person," she replies "QAQ" (instead of a meme) and her progress bar grows—an ambiguous, intriguing moment

Chapter Summary: Patent Internationalization

1. Key Plot Points & Events

• Lu Zhou discovers that Xiao Ai's progress bar is not tied to negative emotions—it simply fills through interaction and Xiao Ai's active data gathering (e.g., scraping forums, observing chat groups). The meme-collection angle remains a mystery to him, but he lets Xiao Ai continue.
• He settles into his new rented apartment, spending time on server maintenance, reading arXiv papers, researching Goldbach Conjecture developments in the number theory community, and occasionally teasing Xiao Ai.
• Three days before his departure to the US, he receives a call: his patent certificates are ready.
• At the patent firm, Han Tianyu explains that the CNIPA (China National Intellectual Property Administration) rushed approvals at year-end to hit quota targets, which is why the patents were granted so quickly.
• Lu Zhou receives two invention patents (valid for 20 years): one for improvements to PDMS material, and one for the application of that improved PDMS material in anode materials.
• Lu Zhou asks about overseas validity. Han Tianyu explains domestic patents aren't automatically valid internationally, and outlines the Paris Convention / PCT Treaty routes with a price list.
• After seeing the costs (US $20k, EU $50k, South Korea $19k, etc.; ~¥800k total for both patents across all countries), Lu Zhou still decides to apply in all listed countries to avoid future risks.
• Han Tianyu is thrilled by the big commission, processes the payment, and promises completion by June next year.
• Lu Zhou reflects that he'll be at Princeton by then and won't have to worry about money once the patents are finalized.

2. Character Developments

• Lu Zhou: Demonstrates strategic, long-term thinking—willing to spend heavily on international patent protection despite the financial sting, showing confidence in his technology and planning for future financial security. His excitement about Princeton and the patents suggests growing ambition and optimism.
• Han Tianyu: Starts professional, becomes enthusiastically warm after the large commission. His own "instincts" tell him Lu Zhou will be a repeat client.
• Xiao Ai: No direct development, but its training mechanics are clarified—it improves through steady data accumulation rather than emotional input.

3. Significant Themes

• Intellectual Property as an Investment: The high cost of patent internationalization is treated as necessary strategic spending to prevent future losses—a "hidden risks" avoidance mindset.
• Bureaucratic Realities: The CNIPA's year-end quota rush shows how administrative systems affect even scientific progress.
• AI Development via Data Accumulation: The "training" process is demystified—not emotion-based, but ordinary data collection and analysis.
• Future Planning: Lu Zhou's decisions are consistently future-oriented (Princeton, money security, legal protection of his work).

4. Character Interactions

• Lu Zhou ↔ Han Tianyu: The core interaction. Lu Zhou asks practical questions about patents and fees; Han Tianyu explains, presents the price list, is stunned by the "apply for all" decision, and grows visibly more enthusiastic and respectful after the commission. They part with a business card exchange and mutual good wishes.
• Lu Zhou ↔ Xiao Ai: Briefly mentioned in the opening—he talks to it and "picks on" it, but this is in passing rather than a detailed scene.
  Overall: This is a chapter focused on the financial and legal logistics of protecting Lu Zhou's invention—demonstrating his strategic mindset as he prepares for his US move.

Summary: “Arriving in California”

Key Plot Points and Events

• The chapter opens with the news that Tu Youyou has received the Nobel Prize in Physiology or Medicine, becoming the first Hua Nation citizen to win a Nobel Prize outside the Peace Prize category.
• Lu Zhou reflects on the achievement and becomes more determined to pursue the Fields Medal himself.
• An article about the “artemisinin patent tragedy” highlights how Hua Nation’s failure to protect intellectual property allowed foreign companies to control patents for medicines derived from Chinese research. Lu Zhou recognizes this as an important warning about the value of patents.
• The Federal Mathematical Society’s year-end conference is scheduled at the University of California, Berkeley, where Lu Zhou will officially receive the Cole Prize in Number Theory.
• Lu Zhou arrives in California and is welcomed by Senior Brother Luo, who takes him toward his hotel.
• During their conversation, Luo teases Lu Zhou about already knowing he had won the Cole Prize and jokes that Lu should buy him a drink with the prize money.
• Luo also brings up a woman Lu Zhou encountered during an earlier incident at Ern’s place. Lu insists that nothing happened, revealing his innocence and lack of romantic awareness.

Character Development

• Lu Zhou becomes increasingly ambitious. Tu Youyou’s Nobel Prize inspires him to work harder toward the Fields Medal.
• He also demonstrates growing awareness of the practical importance of academic achievements, especially patents and intellectual property protection.
• Despite preparing to receive a major mathematical honor, Lu Zhou remains modest and cautious, pretending not to know about the Cole Prize because the result is supposed to remain confidential.
• His awkward exchange with Luo emphasizes his social naivety and limited understanding of romance.
• Senior Brother Luo continues to act as Lu Zhou’s friendly mentor and teasing older brother. He is perceptive enough to see through Lu Zhou’s false modesty and tries to guide him socially as well as academically.

Significant Themes

• Recognition versus material reward: Tu Youyou’s Nobel Prize contrasts with the limited financial and institutional recognition she received for her contribution.
• The importance of intellectual property: The artemisinin patent controversy shows how failing to protect research can allow others to profit from a nation’s own discoveries.
• Academic ambition: Lu Zhou views Tu Youyou’s achievement as proof that a Hua Nation scholar can attain the highest international honors, strengthening his own pursuit of the Fields Medal.
• Public achievement and private humility: Although Lu Zhou is about to receive the Cole Prize, he maintains a restrained public attitude and avoids openly celebrating before the official ceremony.
• Social awkwardness and mentorship: Luo’s teasing exposes Lu Zhou’s lack of romantic experience and establishes their relationship as both affectionate and instructive.

Character Interactions

• Lu Zhou mentally responds to Tu Youyou’s achievement, using it as personal motivation.
• Lu Zhou and Senior Brother Luo reunite warmly at Berkeley. Their banter reveals mutual familiarity and affection.
• Luo mocks Lu Zhou’s modest denial about the Cole Prize, while Lu Zhou explains that he is honoring the confidentiality requirement.
• Luo asks Lu Zhou to buy him a drink and questions him about the woman from their previous encounter.
• Lu Zhou’s literal explanation of the incident leaves Luo exasperated, leading Luo to joke that Lu still needs to learn the basics of romance.

Summary: Chapter “Where’s My Trophy?”

1. Key Plot Points & Events

• Lu Zhou arrives at the hotel in Berkeley for an academic conference. Before he can rest, Senior Brother Luo drags him to the top-floor restaurant for afternoon tea.
• Lu Zhou is short on money, having brought only $500, and is counting on the $100,000 Cole Prize to cover his expenses.
• At the café, Luo introduces him to George Williams, a fellow student of Professor Witten who studies economics.
• George praises Lu Zhou’s work on the Twin Prime Conjecture and says winning the Cole Prize is “no suspense at all.”
• Over the next few days, Lu Zhou attends discussions at Berkeley, learning from the academic atmosphere.
• At the opening ceremony, Federal Mathematical Society president Francis gives a speech summarizing the year’s major achievements, mentioning both Lu Zhou’s number theory breakthroughs and German mathematician Peter Scholze’s algebra work.
• Francis notes that the Cole Prize committee struggled to choose, since the prize usually alternates between number theory and algebra.
• Francis then announces the recipient: Scholze from Germany.
• Lu Zhou is shocked — but quickly realizes the committee made an exception and awarded two prizes, implying his own award is likely coming next.

2. Character Developments

• Lu Zhou: Modest but financially anxious; he downplays his achievements and attends the conference as a listener. His internal shock shows he genuinely cares about the prize, despite outward calm.
• Luo Wenxuan (Senior Brother Luo): Playful and supportive; teases Lu Zhou about the acceptance speech and socializes easily with other academics.
• George Williams: Friendly, respectful of Lu Zhou’s achievements, and knowledgeable about Witten’s unusual academic career.
• Francis (FMS president): Delivers the suspenseful announcement, highlighting the committee’s difficult decision.

3. Significant Themes

• Academic recognition and suspense: The prize ceremony builds tension, showing how even brilliant mathematicians wait anxiously for validation.
• Interdisciplinary genius: Witten’s path — history, economics, physics, then a Fields Medal — underscores that great scholars often cross fields.
• Competition and merit: The rare decision to potentially award two Cole Prizes reflects the extraordinary quality of work in both number theory and algebra that year.

4. Character Interactions

• Luo brings Lu Zhou to the café and introduces him to George Williams.
• George and Luo discuss Witten’s unusual background; George compliments Lu Zhou’s work and predicts his victory.
• Lu Zhou listens, remains modest, and internally reacts to the award announcement.
• Francis’s speech publicly acknowledges both Lu Zhou and Scholze, setting up the climactic moment when Lu Zhou realizes the prize committee made an exception for him as well.

Chapter Summary: “The Youngest Recipient!”

1. Key Plot Points and Events

• At the Federal Mathematical Society conference, the Cole Prize in Number Theory and the Cole Prize in Algebra are unexpectedly awarded at the same time—breaking tradition.
• Lu Zhou wins the Cole Prize in Number Theory, becoming the youngest recipient ever at age 21.
• Peter Scholze wins the Cole Prize in Algebra (age 28), though he is initially surprised by the joint awarding.
• The crowd is stunned, then erupts in applause.
• The president of the society, Francis, personally hands both medals and invites each winner to give a speech.
• Scholze gives a humorous, family-oriented acceptance speech.
• Lu Zhou, still caught off guard, announces he will use the prize money as research funding and hints at challenging the Goldbach Conjecture, also mentioning the 750 GeV signal in mathematical physics.
• His remarks generate great excitement and confusion among reporters, who try to interpret whether he has made another major discovery.

2. Character Developments

• Lu Zhou: Initially shocked and unprepared (he forgot his months-prepared speech), he quickly recovers and makes a bold, ambitious public statement about his future research. This highlights his growing confidence and status as a rising mathematical star.
• Peter Scholze: Portrayed as down-to-earth and humorous; his comment about buying dresses for his wife and shoes for himself humanizes the "genius" figure.
• Luo Wenxuan: Acts as a supportive friend/colleague, excitedly affirming that Lu Zhou deserved the award.
• Deligne and Edward Witten: Comment approvingly on the boldness of the award decision, framing it as historically significant and forward-looking.

3. Significant Themes

• Recognition of young talent: The unprecedented joint awarding emphasizes how rapidly young mathematicians are reshaping the field.
• Media scrutiny and sensationalism: Reporters immediately latch onto Lu Zhou’s age and his provocative hints about future research.
• Ambition and intellectual risk: Lu Zhou’s public mention of Goldbach and the 750 GeV signal signals his willingness to tackle grand, difficult problems.
• Tradition vs. innovation: The Cole Prize decision breaks convention but is defended as a necessary acknowledgment of extraordinary merit.

4. Character Interactions

• Luo Wenxuan and Lu Zhou: Luo enthusiastically congratulates Lu, while Lu remains pleasantly bewildered.
• Francis and winners: The society president awards the medals and invites speeches, guiding the ceremony’s tone.
• Scholze and Lu Zhou: They share the stage as simultaneous winners; Scholze courteously applauds Lu.
• Reporters and winners: Scholze deflects with humor; Lu Zhou makes a calculated (but possibly overreaching) statement that leaves reporters scrambling for headlines.
• Deligne and Witten: Their brief exchange frames the event as a bold, once-in-a-generation moment.

Chapter Summary

Key Plot Points

• Lu Zhou and Scholze receive their separate Cole Prizes (Number Theory and Algebra) with $100,000 checks and medals at a ceremony near Berkeley.
• A traditional banquet follows at a five-star hotel with a Christmas atmosphere.
• Lu Zhou is recognized as the youngest Cole Prize winner in Number Theory and receives much attention from young scholars.
• He encounters Scholze, and they eat together, initially discussing mathematics before turning to personal topics.
• Scholze describes his marriage, daughter, and family life, encouraging Lu Zhou to try a relationship.
• Lu Zhou internally laments that he wants one but has no opportunity.
• The next day, Lu Zhou rushes to a lecture by mathematician Helfgott on the Goldbach Conjecture.
• Helfgott’s lecture concerns his proof of the weak Goldbach Conjecture: every odd number greater than 10^30 is the sum of three primes, with smaller cases verified by computer.
• Lu Zhou listens carefully and remains focused despite his recent achievement.
• Back in China, news of Lu Zhou’s Cole Prize causes a sensation at Jin University; his former school celebrates him.
• In a dorm scene, Huang Guangming repeatedly teases Liu Rui about Lu Zhou’s success, culminating in Liu Rui slamming his pen and Xiao Jian’s comedic scream.

Character Developments

• Lu Zhou: Remains humble and studious, not letting the Cole Prize go to his head. He is still single and noticeably affected by Scholze’s advice, revealing a quiet desire for romance.
• Scholze: Portrayed as a warm, mature family man who values mathematics above all but treasures his wife and child; he uses his medals as toys for his daughter.
• Liu Rui: Shows lingering frustration or envy over Lu Zhou’s achievements, though he tries to appear indifferent.
• Huang Guangming: Playful and teasing, clearly enjoys stirring up his roommate.

Significant Themes

• Recognition and modesty: Lu Zhou receives major awards but remains focused on learning.
• Mathematics and personal life: The contrast between Scholze’s settled family life and Lu Zhou’s solitude.
• The ongoing challenge of the Goldbach Conjecture, especially Helfgott’s weak-form proof and its implications.
• Institutional pride and informal rivalry, as seen in the university’s celebration and the dormitory teasing.

Character Interactions

• Lu Zhou and Scholze: A friendly, respectful conversation between two brilliant young mathematicians, moving from abstract mathematics to personal life.
• Lu Zhou and Helfgott (indirect): Lu Zhou attends Helfgott’s lecture with serious attention.
• Huang Guangming, Liu Rui, and Xiao Jian: A comedic, lighthearted exchange highlighting Lu Zhou’s off-screen influence on his former classmates.

Summary of "A Small Step Toward the Mountain Peak"

1. Key Plot Points and Events

• Professor Helfgott delivers a lecture at a mathematics conference on the Hardy–Littlewood Circle Method and its application to proving the weak Goldbach Conjecture (every odd number greater than 9 can be written as the sum of three odd primes).
• He presents a detailed proof sketch, referencing foundational work by Hardy and Littlewood, and modern developments by later mathematicians.
• Lu Zhou, attending the lecture, asks a pointed question about a specific equation on line 34 of the whiteboard, specifically how Helfgott established that the function f(s) is holomorphic (using the Residue Theorem).
• Helfgott provides a supplementary equation that resolves Lu Zhou's question; Lu Zhou understands and acknowledges the answer.
• After the lecture, a young girl named Vera approaches Lu Zhou to ask for clarification. She reveals she is a 17-year-old Berkeley undergraduate and an International Mathematical Olympiad (IMO) gold medalist.
• They exchange introductions; Vera expresses admiration for Lu Zhou's achievements. The lecture concludes, and Lu Zhou leaves, noting he has somewhere to be.

2. Character Developments

• Lu Zhou: Demonstrates deep expertise in analytic number theory by engaging critically with the lecturer's proof. He shows intellectual humility and patience by explaining the answer to Vera afterward. He is also modest in reacting to Vera's praise.
• Vera: Introduced as a shy, socially awkward but mathematically gifted undergraduate. She is eager to learn, takes meticulous notes, and struggles with social interaction (accidentally biting her tongue from nervousness). She idolizes Lu Zhou's accomplishments.
• Helfgott: Portrayed as an authoritative expert who handles questions well and respects substantive engagement. He immediately recognizes the quality of Lu Zhou's question.

3. Significant Themes

• Mathematical rigor and collaborative inquiry: The chapter emphasizes that real mathematical understanding progresses through questioning, clarification, and exchange—both between experts (Lu Zhou and Helfgott) and mentor-like figures and novices (Lu Zhou and Vera).
• The magnitude of unsolved problems: The chapter notes that even with partial results (like the weak Goldbach Conjecture), the full Goldbach Conjecture remains distant—"two mountains facing each other."
• Accessibility of high-level mathematics: Vera's presence highlights how exceptional young talent can engage with frontier research, though the difficulty of the material is also acknowledged.

4. Character Interactions

• Lu Zhou ↔ Helfgott: A formal, substantive Q&A exchange during the lecture. Helfgott calls Lu Zhou's question "excellent" and answers it with an additional equation.
• Lu Zhou ↔ Vera: A brief but meaningful interaction after the lecture. Lu Zhou patiently explains the proof step she missed, gives encouragement when she belittles herself, and learns her background (age, IMO medal, Berkeley). Vera shows nervousness and admiration, while Lu Zhou remains polite, encouraging, and casually curious about her age and experiences.
• Vera ↔ Helfgott (implicit): Vera attended the lecture but did not fully follow; she relied on Lu Zhou for clarification afterward.

1. Key Plot Points & Events

• Lu Zhou attends a lecture by Professor Helfgott on the weak Goldbach Conjecture, learning about the historical context (Vinogradov, Baredkin) and Helfgott's thirteen-year effort to reduce the bound to 10^30, making it computationally verifiable.
• After returning to his hotel, Lu Zhou reviews his notes, admiring Helfgott's innovative methods and contemplating whether to continue with the Sieve Method or switch to the Circle Method for his own research.
• Luo Wenxuan invites Lu Zhou to a basketball game on the 23rd; Lu Zhou declines due to a scheduled one-hour lecture, but accepts an invitation to go drinking that night.
• News of Lu Zhou's Cole Prize win reaches China, sparking a three-day media frenzy and celebration, especially at his alma mater, Jiangling No. 6 High School.
• Xiao Tong (Lu Zhou's sister) is summoned by her teacher "Old Ma," who initially frightens her with unusual friendliness, but eventually reveals he wants her to ask Lu Zhou to give a motivational speech at the school.

2. Character Developments

• Lu Zhou demonstrates his unwavering dedication to mathematics, prioritizing academic lectures over social events, yet shows a more social side by agreeing to go drinking.
• He expresses a clear personal philosophy: he prefers making life adapt to him rather than forcing himself to adapt to a lifestyle that doesn't suit him.
• Xiao Tong is portrayed as responsible and slightly anxious, initially fearing she's in trouble, but dutifully agreeing to relay the school's request.

3. Significant Themes

• Academic dedication vs. social life: Lu Zhou's refusal of the basketball game highlights his commitment to research, while his acceptance of the bar invitation shows balance.
• Recognition and legacy: The Cole Prize win brings national attention, demonstrating the impact of a single scholar's success on his country and former institutions.
• Mathematical methodology: Lu Zhou's internal deliberation over Sieve vs. Circle Method reflects the strategic thinking required in cutting-edge research.

4. Character Interactions

• Lu Zhou and Luo Wenxuan engage in a lighthearted but meaningful exchange about work-life balance; despite declining the basketball invitation, Lu Zhou accepts the bar invitation, much to Luo's playful relief ("Getting you out to have fun really isn't easy").
• Old Ma and Xiao Tong have a comedic, tense interaction where the teacher's unusual kindness makes Xiao Tong assume she's in trouble; after discovering the real reason, she's relieved and agrees to pass along the invitation.
  This chapter balances Lu Zhou's mathematical insights with personal moments and the ripple effects of his public recognition.

Chapter Summary: “Not Easy Even for Geniuses”

Key Plot Points and Events

• Lu Zhou reflects on the benefits of attending the academic conference, gaining both academic insight and valuable connections with renowned mathematicians.
• He meets Haim Brezis, whose book on Functional Analysis had influenced him. Brezis is warm and enthusiastic, inviting Lu Zhou to visit him in Paris.
• Lu Zhou also meets Terence Tao, who is far more shy and youthful in person than Lu Zhou expected.
• After a presentation, Tao invites Lu Zhou to his office, where they discuss the Goldbach Conjecture and possible approaches to solving it.
• Tao explains that he had attempted to use Lu Zhou’s topology-enhanced Large Sieve Method, inspired by Lu Zhou’s paper, but was unable to make the approach work.
• Lu Zhou proposes treating a discrete sum as a Riemann sum and applies the Cauchy–Schwarz inequality. Although the idea briefly gives them hope, both mathematicians eventually realize that a crucial bound involving (N) remains out of reach.
• Tao concludes that the Large Sieve Method may be impossible for the problem and suggests the Circle Method instead. Lu Zhou remains unwilling to abandon his original approach completely.
• Tao invites Lu Zhou to teach and conduct research at Berkeley. Lu Zhou explains that he has only recently begun his master’s degree and plans to pursue a PhD at Princeton.
• The two exchange email addresses and agree to remain in contact about future discoveries.
• On his way back to the hotel, Lu Zhou stops at a rib restaurant. He is surprised by the enormous American portion size and realizes that the meal is more reasonably priced than it first appeared.
• He recognizes the waitress as Vera, a former acquaintance, and learns that she works part-time despite having a scholarship. Their conversation becomes awkward when he asks whether she is Russian, and she leaves after being called back to the kitchen.

Character Developments

• Lu Zhou grows more confident within the international mathematical community. He can converse and exchange ideas directly with leading scholars, yet remains humble about his own achievements.
• He demonstrates persistence by refusing to abandon the Large Sieve Method even after Tao’s unsuccessful attempt and their own dead end.
• Terence Tao is portrayed as both extraordinarily intelligent and modest. Despite his worldwide reputation and major achievement in solving the Erdős discrepancy problem, he openly admits his limitations and even jokingly calls himself “stupid.”
• Tao’s invitation to collaborate shows his respect for Lu Zhou and recognizes Lu Zhou as a genuine peer despite their difference in age and experience.
• Haim Brezis is characterized as friendly, scholarly, and generous, emphasizing the supportive side of the academic world.
• Vera appears embarrassed and guarded about her part-time work, suggesting personal or financial difficulties that she does not wish to explain.

Significant Themes

• The difficulty of great problems: Even the world’s greatest mathematicians struggle with long-standing conjectures. Intelligence alone does not guarantee success.
• Humility among geniuses: Tao’s modesty and willingness to acknowledge failure contrast with his extraordinary accomplishments.
• Persistence and intellectual openness: Lu Zhou remains committed to exploring the Sieve Method while being willing to consider Tao’s suggestion of the Circle Method.
• Academic recognition and collaboration: The chapter highlights Lu Zhou’s growing status and the importance of exchanging ideas with other scholars.
• The gap between fame and ordinary life: After discussing major mathematical problems with famous academics, Lu Zhou immediately returns to mundane concerns such as food prices, portion sizes, and restaurant work.
• Unspoken personal struggles: Vera’s reluctance to discuss her employment hints at difficulties beneath the surface, paralleling Lu Zhou’s earlier experiences of working to support himself.

Character Interactions

• Lu Zhou and Brezis: Their meeting is warm and respectful, with Brezis welcoming Lu Zhou as a reader of his work and inviting him to France.
• Lu Zhou and Tao: Their conversation shifts from casual topics to a serious mathematical exchange. They challenge and complement each other intellectually, eventually sharing a rueful understanding that the problem remains unsolved.
• Tao and Lu Zhou’s professional relationship: Tao treats Lu Zhou as a potential research collaborator, offering him a position at Berkeley and promising to continue discussing the conjecture by email.
• Lu Zhou and Vera: Their unexpected meeting is awkward but sympathetic. Lu Zhou recognizes her possible financial difficulties, avoids pressing her on the subject, and attempts to change the topic when the conversation becomes uncomfortable.

Summary: "Showing Off Isn't a Good Habit"

1. Key Plot Points & Events

• Lu Zhou eats at a rib restaurant and notices a little girl crying, leading him to reflect on the hardships of the world compared to his own peaceful upbringing in China.
• Old Tang calls to invite Lu Zhou back to Jin University for the Person of the Year award, which now carries a one-million-yuan bonus (raised from the usual ten thousand yuan due to his international fame).
• Lu Zhou initially declines, wanting to let others have the honor, but quickly reverses course after learning about the money.
• The mathematics academic conference concludes. Professor Helfgott wins the Best Speaker Award for his Goldbach Conjecture work, and a French professor wins Best Young Speaker (which Lu Zhou missed but respects).
• Lu Zhou prepares to fly home, planning to stop at Jin University before heading to Jiangcheng for New Year's Day.
• Xiao Tong calls and shares two "pieces of good news": she came first in her class on the monthly test, and her teacher "Old Ma" invites Lu Zhou to give a speech at their old school. Lu Zhou agrees because Xiao Tong wants him to.

2. Character Developments

• Lu Zhou: Shows generosity by giving up the Person of the Year award to others, but his love for money is again showcased comically. He also demonstrates growing maturity, reflecting on world suffering. The chapter ends with a somewhat ironic observation that Xiao Tong likes showing off—while Lu Zhou fails to recognize his own vanity in chasing awards and the million-yuan prize.
• Old Tang: Acts as a mentor figure, offering life advice about money: "When it comes to money, you must have your own standards." He also shows affection for Lu Zhou through his teasing.
• Xiao Tong: Playful, proud of her exam result, and clearly adores her brother. She's characterized as someone who enjoys showing off, contrasting with Lu Zhou's self-image of being "low-key."

3. Significant Themes

• Showing off vs. humility: The chapter title is pointed; Lu Zhou criticizes Xiao Tong's love of showing off while his own pursuit of awards (the million-yuan bonus, the award ceremony) proves he isn't much better.
• Money and integrity: Old Tang's warning highlights the tension between Lu Zhou's love of money and the danger of caring too much about it.
• Fame and recognition: The school raises the prize money because Lu Zhou now brings prestige to the award, mirroring the Einstein-Nobel dynamic described in the text.
• Family and priorities: Lu Zhou's willingness to change his schedule for Xiao Tong's request shows his devotion to family over professional commitments.

4. Character Interactions

• Lu Zhou & Old Tang: Warm, teasing, and mentoring. Old Tang plays on Lu Zhou's greed, while Lu Zhou respectfully addresses him as "Professor."
• Lu Zhou & Xiao Tong: Affectionate sibling banter. Xiao Tong is playful and manipulative in a sweet way ("Are you going or not?"), and Lu Zhou gives in to her expectant gaze.
• Element of reflection: Lu Zhou's internal monologue about the crying girl in the restaurant shows a more contemplative side, connecting his peaceful life to external world suffering.

After leaving the United States, Lu Zhou returned to China and was welcomed by Jin University for his mathematical achievements. The university arranged an interview and prepared to honor him at its scholarship and Person of the Year ceremony, where he was expected to give a speech.

• Terence Tao drove Lu Zhou to San Francisco International Airport, where Lu Zhou spotted a Daily Mail headline falsely claiming the Riemann Hypothesis had been proved and dismissed the amateur paper he found on arXiv.
• After a long flight, Lu Zhou arrived in China and Dean Qin welcomed him on behalf of Jin University, which arranged a hotel room and a CCTV science-program interview.
• Lu Zhou accepted the interview, partly because he remembered the one-million-yuan check, and reflected that his fame had boosted applications to Jin University's mathematics department.
• After a restful night, Lu Zhou went to the university auditorium, where Dean Qin and Academician Xu Jian told him the award ceremony might appear on CCTV and urged him to deliver his speech well.
• Lu Zhou admitted that he had memorized his speech rather than prepared a written draft, then promised Academician Xu Jian that he would not let them down.

Summary

1. Key Plot Points and Events

• Before the award ceremony, Lu Zhou struggles to prepare an acceptance speech because the event will be broadcast on CCTV. He briefly considers asking for public help, then tests Xiao Ai’s upgraded intelligence, but its confused response proves useless.
• He watches the undergraduate and master’s award recipients receive recognition, admiring their academic achievements. Senior Brother Qian, a leading researcher in Carbon Nanomaterials, receives an award and special scholarship.
• Lu Zhou is the final speaker for the graduate Outstanding Persons of the Year. His many accomplishments—including major mathematics prizes, Zhou’s Theorem, the Twin Prime Theorem, the Polignac-Lu Theorem, and contributions to the LHCb collaboration—are displayed on a large screen.
• Rather than giving a conventional technical speech, Lu Zhou reflects on his university life. He recounts his early competition experiences, research projects, failed startup, mathematical breakthroughs, international academic work, and recent awards.
• He concludes by encouraging students to pursue their interests, discover their strengths, and make meaningful use of university. His speech runs over time, but the audience remains completely engaged and ends with enthusiastic applause.

2. Character Developments

• Lu Zhou demonstrates maturity, humility, and strong public-speaking ability. Although celebrated as a campus legend, he presents himself as approachable and emphasizes his experiences rather than boasting about his achievements.
• He recognizes how dramatically his status has changed: students now view him almost as an untouchable “God Lu,” unlike the ordinary student he once was.
• Lu Zhou also reveals a reflective side, viewing his accomplishments as part of a longer journey shaped by effort, curiosity, failure, and opportunity.
• Xiao Ai remains comically unreliable despite its upgrade, reinforcing that Lu Zhou must depend on his own judgment.
• Senior Brother Qian is established as a highly accomplished master’s student whose research record earns him significant recognition.
• Dean Qin acts as a cautious authority figure, repeatedly signaling Lu Zhou not to become too informal while speaking before the cameras.

3. Significant Themes

• Meaningful use of university life: University is presented not merely as preparation for prestigious careers, but as a period for discovering one’s identity and value.
• Passion and curiosity: Lu Zhou urges students to remain enthusiastic about life and interested in the world around them.
• Finding one’s path: Students should identify their interests and strengths, then pursue them as deeply as possible.
• Achievement versus humility: Despite extraordinary accomplishments, Lu Zhou focuses on personal growth and shared experience rather than status.
• The passage of time and change: His speech contrasts his earlier days as a student with his current reputation and impending departure from campus.
• Individual definitions of success: Academic research, extracurricular activities, communication, and relationships are all presented as valid ways to make university worthwhile.

4. Character Interactions

• Lu Zhou briefly interacts with Xiao Ai while seeking help for his speech, but its confused response leaves him to write the speech himself.
• He observes and mentally evaluates the achievements of younger students and Senior Brother Qian, showing respect for their work.
• During the speech, Lu Zhou engages the audience with jokes about freshmen, frustrated upperclassmen, and students forced to attend the ceremony. Their laughter confirms his ability to connect with them.
• Dean Qin silently tries to restrain Lu Zhou’s informal remarks because of the CCTV broadcast, while Lu Zhou reassures him and continues.
• Lu Zhou’s recollections connect him to past teammates, advisors, Senior Brother Yan, Professor Lu, and international collaborators, emphasizing the importance of cooperation in his achievements.
• The audience’s silence during his personal reflections and thunderous applause at the end demonstrate their admiration and emotional response to his message.