Recaps

At a celebration dinner, Xiao Yi received invitations from top journals to submit his Absolute Electronic Computation paper, then returned to his mathematics work. He combined Xiao's expansion with the circle method and prepared to improve Chen's Theorem, aiming to turn “1+2” into “1+1.”

• Luo Mingya credited Xiao Yi's simulations and Absolute Electronic Computation model with helping their project paper gain immediate approval from Nature's editor.
• Xiao Yi received submission invitations from the editor-in-chief of JACS and the editor-in-chief of Physical Review Letters, and decided to submit his paper to JACS rather than shorten it for PRL.
• After returning to the entrepreneurship center, Xiao Yi reviewed results on the Goldbach Conjecture and recalled Chen Jingrun's paper and its lemmas.
• Xiao Yi realized he could combine Xiao's expansion with sieve methods and the circle method, then completed the new combined theory.
• Xiao Yi set out to formally improve Chen's Theorem and turn its “1+2” result into “1+1.”

After developing his Circle Method Expansion theory, Xiao Yi proved the Goldbach Conjecture and considered where to submit his paper. The chapter left him preparing for the worldwide attention he expected once the proof became known.

• Xiao Yi joined Ye Cheng, Song Ziyang, and Luo Qiao for Number Theory class and helped Ye Cheng with his paper on sheaf cohomology.
• Professor Wang and the students persuaded Xiao Yi to teach, so he lectured on sieve methods and connected them to the circle method and the Goldbach Conjecture.
• Xiao Yi presented his Xiao's expansion and outlined how it could help turn Chen Jingrun's 1+2 result into 1+1 before class ended.
• Four days later, Xiao Yi finished writing a proof that every even number greater than 2 was the sum of two primes.
• Xiao Yi decided to submit his Goldbach Conjecture paper to a journal rather than post it on arXiv, hoping to rest before the proof drew worldwide attention.

Annals of Mathematics editor Peter Sarnak reviewed Xiao Yi’s submission and judged that it proved the Goldbach Conjecture, prompting the journal to assemble an expert review committee. After a month of review, the committee officially confirmed the proof.

• Editors Ron and Beck found two submissions titled “Goldbach Conjecture,” and recognized Xiao Yi as the author of the second paper.
• Ron and Beck alerted Peter Sarnak, who began reviewing Xiao Yi’s paper and confirmed it was his work.
• News of Xiao Yi’s claimed proof spread through Princeton and the mathematical community, where many doubted it because the paper was not on arXiv.
• After reading the paper, Sarnak announced that the proof appeared valid and organized a review committee of six number theory experts.
• The committee began reviewing Xiao Yi’s paper and officially announced one month later that the Goldbach Conjecture had been proven.

After Xiao Yi’s proof of Goldbach Conjecture was verified, Academician Xun Yong invited him to present it at the Great Hall of the People, where the report would also serve as his undergraduate graduation defense. The announcement sparked nationwide excitement, and the chapter ended as the lecture date approached.

• You Kun watched the news that Goldbach Conjecture had been proved and decided to attend Xiao Yi’s report with Chen Jingrun’s photo.
• Xiao Yi guided Song Ziyang through a proof involving the Mountain Pass Theorem and the PS condition while Ye Cheng joked about no longer calling him “Godfather.”
• Professor Liu Bin told Xiao Yi that Academician Xun Yong had come to invite him to give a Goldbach Conjecture report in Shangjing.
• Xun Yong invited Xiao Yi to present at the Great Hall of the People, and the dean proposed making the report Xiao Yi’s undergraduate graduation defense.
• Xiao Yi agreed to the arrangements, and news of the report spread across China, prompting overwhelming demand for attendance reservations.
• The reservation website crashed, then available places sold out quickly as the lecture date drew near.

Guo Xiaoming livestreamed from the Great Hall of the People before Xiao Yi’s Goldbach Conjecture report and undergraduate defense, then watched as Xiao Yi presented his new mathematical methods and began proving the conjecture. The report was still underway as Xiao Yi’s derivations left most of the audience unable to follow, while mathematicians discussed where he might pursue graduate studies.

• Guo Xiaoming told viewers that unclaimed seats might let people into Xiao Yi’s report and explained that Xiao Yi would present in Chinese.
• On May 29, more than ten thousand people filled the Great Hall of the People, where Xiao Yi’s report was also announced as his undergraduate graduation defense.
• Liu Cong encouraged Xiao Yi backstage and promised him a surprise after the report.
• Xi Lan opened the event, and Xiao Yi began his presentation by discussing Chen Jingrun’s theorem and the history of the Goldbach Conjecture.
• Xiao Yi introduced his Parity Check Classification Sieve, Xiao’s Polynomial Expansion, and the Circle Method Expansion before beginning his proof of the Goldbach Conjecture.
• Hu Guangde told Xi Lan that Xiao Yi might pursue graduate studies in China, and Xi Lan suggested recruiting him to the Mathematics Research Institute.

Xiao Yi completed his Goldbach Conjecture defense to a huge audience, drawing praise and recruitment offers from leading mathematicians and physicists. At the reception afterward, he met Chen Jingrun's family and accepted an Outstanding Young Scholar application, leaving with a special route to research funding and expectations for his future work.

• Xiao Yi finished his defense, and the committee members praised his achievement while Xi Lan and Pang Cheng competed to recruit him for their institutes.
• Xi Lan delivered the closing remarks as the auditorium applauded, and the presentation became a major online event with its relativity joke trending.
• Xiao Yi met Chen Jingrun's widow and son, who thanked him for fulfilling Chen's wish and easing the son's regret about the Goldbach Conjecture.
• Liu Cong gave Xiao Yi an Outstanding Young Scholar application, explained its benefits, and Xiao Yi signed it immediately.
• Liu Cong told Xiao Yi that his research funding would use a special channel and encouraged him to produce further achievements before leaving to attend to other matters.

After graduating with bachelor's and master's degrees, Xiao Yi agreed to pursue doctoral studies in both mathematics and physics and joined Pang Cheng's high-temperature superconductivity project. He arrived at the Institute of Physics, where Pang Cheng welcomed him and showed him his new dormitory, leaving Xiao Yi ready to begin the next stage of his research.

• Xi Lan and Pang Cheng argued over Xiao Yi's future studies, and Hu Guangde proposed that he pursue doctorates at both institutes; Xiao Yi agreed.
• Pang Cheng invited Xiao Yi to join a project investigating why FeSe superconductivity rose on an SrTiO3 substrate, and Xiao Yi agreed to join after completing his graduation procedures.
• Xiao Yi returned to Fei City, completed his remaining exams and credits, and received his bachelor's and master's degree certificates.
• Xiao Yi took graduation photographs with his teachers and remembered that he had also joined his high school classmates for their graduation photo.
• On June 15, Pang Cheng welcomed Xiao Yi to the Institute of Physics and showed him his spacious researcher dormitory; Xiao Yi planned to begin work the next day.

Xiao Yi joined Pang Cheng’s condensed matter research group and proposed using hydrogen to create iron vacancies in FeSe/SrTiO3 monolayers. Pang Cheng judged the method highly promising, leaving the team eager to test Xiao Yi’s idea.

• Xu Zhiqiang escorted Xiao Yi to the Shangjing Condensed Matter Physics Research Center and revealed that his family owned a chain of hotels.
• Pang Cheng welcomed Xiao Yi to the lab, and Xu Zhiqiang learned that Xiao Yi’s company was valued at hundreds of millions and that Xiao Yi had been selected as an Outstanding Young Scholar.
• Pang Cheng introduced Xiao Yi to the research group, then rebuked Cui Yuanhao for criticizing Xiao Yi’s award and funding allocation.
• Guo Ding explained the team’s project on finding an iron-vacancy-ordered parent compound for FeSe/SrTiO3 monolayer superconductors.
• After examining the experimental data, Xiao Yi proposed using hydrogen to lower iron atom migration barriers and produce vacancies, and Pang Cheng praised the method’s potential.

Xiao Yi proposed the Hydrogen Power Method to introduce iron-vacancy defects into FeSe/SrTiO3 monolayer superconductors, and Guo Ding’s simulation confirmed it could work. The research group successfully reproduced the defects in the laboratory and continued toward studying the transition to the insulating parent phase.

• Xiao Yi explained to Guo Ding how hydrogen could lower the energy barrier for iron atoms to migrate and create vacancies in the FeSe layer.
• Guo Ding simulated the method, confirmed it could introduce iron vacancies and produce a transition to the insulating parent phase, then informed Pang Cheng.
• At the group meeting, Pang Cheng announced Xiao Yi’s method, and Xiao Yi explained it while Guo Ding presented the simulation results.
• Pang Cheng led the group through experiments using calculated hydrogen conditions, and the team confirmed iron-vacancy defects with a Scanning Tunneling Microscope.
• Pang Cheng offered Xiao Yi first authorship on a paper combining the method with the group’s final results, and Xiao Yi agreed to publish them together.

Xiao Yi received an invitation to deliver a one-hour plenary lecture at the 2022 International Congress of Mathematicians and wondered what to present. After the congress's speaker list was announced, mathematicians debated whether he should receive the 2022 Fields Medal, and he led an online poll by a wide margin.

• Xiao Yi received an invitation from the International Mathematical Union to give a one-hour plenary lecture at the 2022 International Congress of Mathematicians in Saint Petersburg.
• Guo Ding learned about Xiao Yi's invitation, then left the laboratory to help Academician Tang's research group at the Institute of High Energy Physics.
• Xiao Yi continued helping in the laboratory and studying papers and experimental results after Guo Ding left.
• The International Mathematical Union announced the invited speakers, and mathematicians marveled that Xiao Yi was the youngest one-hour plenary lecturer in ICM history.
• Mathematicians argued online over whether Xiao Yi should receive the 2022 Fields Medal, and his poll support climbed from 44% to nearly 60%.

Xiao Yi joined the Institute of High Energy Physics to help analyze quark-gluon plasma data and noticed unusual patterns in experimental errors. His calculations suggested that W and Z boson production rates and the W boson mass did not match Standard Model predictions, so Guo Ding went to fetch Tang Yifang.

• Tang Yifang asked Guo Ding to process QCD phase-transition data and recruit Xiao Yi to the Institute of High Energy Physics.
• Xiao Yi spotted patterned errors in superconductivity data and asked Guo Ding to find the experimental equipment specifications before agreeing to join the project.
• Guo Ding secured Academician Pang's permission to take Xiao Yi to the Institute of High Energy Physics, where Tang Yifang welcomed him.
• Guo Ding showed Xiao Yi collision data from BEPC, and Xiao Yi noticed several measurements that deviated from expected distributions.
• Xiao Yi found that W and Z boson production rates seemed unusually high and that the results fit only if the W boson mass increased by about 0.1%, prompting Guo Ding to call Tang Yifang.

Xiao Yi explained his novel statistical methods to Tang Yifang, who arranged a presentation and a research team’s recalculation of the W boson mass. As Xiao Yi prepared to refine his work, he wondered whether the apparent mass excess might relate to the Yang-Mills mass gap, but decided to verify the result with more data first.

• Guo Ding brought Tang Yifang to hear Xiao Yi explain his calculations suggesting the W boson mass was more than five standard deviations above the Standard Model prediction.
• Tang Yifang questioned Xiao Yi’s unfamiliar error-handling and statistical methods, and Xiao Yi explained his improved estimation algorithms and error analysis.
• Tang Yifang scheduled Xiao Yi to present his methods in ten days and said researchers would recalculate the W boson mass; a CERN team led by Giorgio Parisi might also provide access to LHC data.
• After Tang Yifang left, Xiao Yi considered a possible connection between the W boson mass and the Yang-Mills mass gap problem.
• Xiao Yi decided to focus first on confirming the W boson mass result with substantially more experimental data.

Xiao Yi presented a new method for analyzing and processing experimental errors, using it to show that 2,000 BEPC data points suggested the W boson was heavier than the Standard Model predicted. Giorgio Parisi said the result needed more data and offered to help Xiao Yi obtain LHC data if he published a convincing paper.

• News spread through the Institute of High Energy Physics that Xiao Yi would give a presentation arranged by Tang Yifang, and Giorgio Parisi arrived with his CERN team for academic exchange.
• Before the presentation, Parisi asked Xiao Yi about the result that differed from the Standard Model, but Xiao Yi saved the details for his talk.
• Xiao Yi demonstrated his error-analysis method on W boson decay data and calculated a mass of 80.471±0.027 GeV for one data point.
• Xiao Yi showed that processing 2,000 data points produced a W boson mass of 80.438±0.011 GeV, prompting shocked reactions from the audience.
• Parisi said the result was promising but needed more data, and offered to persuade CERN to provide LHC data if Xiao Yi published a convincing paper.

Xiao Yi’s new error-analysis method led PRL to publish his claim that the W boson mass exceeded the Standard Model prediction, prompting CERN and the China Institute of High Energy Physics to begin a joint investigation. The collaboration began processing a million LHC data samples, with results expected in six months as physicists worldwide studied Xiao’s method.

• Researchers at the Institute of High Energy Physics and the visiting CERN team studied Xiao Yi’s Error Handling Method while awaiting his paper.
• PRL editor-in-chief Robert Griester and associate editors accepted Xiao Yi’s paper for the next issue despite concerns that it used only 2,000 data sets.
• After reading the paper, Frank Wilczek judged Xiao Yi’s analysis method sound and discussed using LHC data to test the W boson mass result.
• Giorgio Parisi connected Xiao Yi and Tang Yifang with Wilczek, and CERN agreed to provide LHC collision data and collaborate with the China Institute of High Energy Physics.
• CERN and the China Institute of High Energy Physics began jointly processing data, targeting one million samples and estimating that verification would take six months.
• Physicists worldwide debated the possible discovery and rushed to study Xiao’s Error Analysis Theory.

Xiao Yi began his doctoral studies under Xun Yong, joined the mathematics lab, and continued struggling with the Yang-Mills mass gap problem. In October, Pang Cheng visited with news that their project had been submitted to Nature, and Xi Lan brought Xiao Yi an invitation to the National Science and Technology Awards Conference.

• Xun Yong welcomed new master's students Gong Weihua and Zou Qiao, discussed their research plans, and introduced them to the mathematics lab.
• Xiao Yi arrived as Xun Yong's doctoral student, surprised the new students and lab members, and exchanged WeChat contacts with them.
• Xiao Yi tried several approaches to the mass gap problem but stalled at difficult points in each one.
• Pang Cheng visited Xiao Yi and announced that their research project had been completed and submitted to Nature.
• Xi Lan arrived with an envelope, and Xiao Yi discovered it contained an invitation to the National Science and Technology Awards Conference.

Xiao Yi attended the National Science and Technology Awards Conference and unexpectedly received the First Prize of State Natural Science Award for proving the Goldbach Conjecture. After the ceremony, online discussion focused on why his Twin Prime Conjecture had not won an award.

• Xi Lan and Pang Cheng argued over whether Xiao Yi should attend with the Institute of Physics or the Academy of Mathematics and Systems Science.
• At the conference on November 2nd, Xiao Yi listened as Academician Gu Songfen and Academician Wang Dazhong received the State Supreme Science and Technology Award.
• The host announced that Xiao Yi had won the First Prize of State Natural Science Award for his proof of the Goldbach Conjecture, and Xiao Yi went onstage to accept it.
• Pang Cheng congratulated Xiao Yi, and Xiao Yi promised to treat researchers from the Academy of Mathematics and Systems Science and the Institute of Physics to dinner.
• The ceremony presented two more Natural Science Award first prizes and then concluded, while online discussion turned to why Xiao Yi's Twin Prime Conjecture had received no award.

After receiving a major science award, Xiao Yi developed a mathematical explanation for the W boson’s excess mass and presented CERN researchers with a possible new field. He left them with the proposal that the X field could explain the anomaly, though confirming it directly would be difficult.

• Xiao Yi ignored the online discussion of his Goldbach Conjecture award and focused on the Yang-Mills mass gap problem, using topological quantum field theory to develop a new approach.
• CERN and the China Institute of High Energy Physics reported that analysis of one million data sets confirmed the W boson’s mass exceeded the Standard Model prediction.
• At a CERN meeting, Fabiola Gianotti approved making W boson mass verification a priority, and Tang Yifang agreed that the China Institute of High Energy Physics would continue collaborating.
• Tang Yifang relayed Xiao Yi’s warning that the LHC could not reveal the cause of the W boson anomaly, and CERN invited Xiao Yi to explain by video.
• Xiao Yi derived a new vector field from Yang-Mills theory and said it could account for the W boson’s measured mass, naming it the X field or Xiao field.

At CERN, Xiao Yi revealed that the X field emerged from his research on the Yang-Mills mass gap, and CERN decided to search for evidence of it despite his doubts about the project. Back in his dorm, Xiao Yi connected his remaining proof problem to the Hodge standard conjecture and began developing a new approach using vertex algebras and homological algebra.

• Xiao Yi told Frank Wilczek that the X field might mediate the unification of the strong and weak interactions, though his inference rested on intuition for now.
• Edward Witten inferred that Xiao Yi was close to proving the Yang-Mills mass gap, and Xiao Yi confirmed that the X field had emerged during that research.
• CERN researchers questioned Tang Yifang about Xiao Yi's progress while speculating that Xiao Yi might present a proof at the International Congress of Mathematicians.
• Fabiola Gianotti put the matter to a vote, and CERN chose to continue the W boson project as a search for the X field, with Wilczek urging a further LHC upgrade.
• Xiao Yi returned to his draft and realized that proving the Hodge standard conjecture could resolve his theorem about the Yang-Mills mass gap.
• Xiao Yi connected the Hodge standard conjecture with vertex algebras and homological algebra, then began writing out a new approach based on a generalized theory of norms.

News of Xiao Yi’s proposed X field and near-completion of the Yang-Mills mass gap proof spread through the physics and mathematics communities. As the International Congress of Mathematicians approached, Xiao Yi submitted a talk title announcing a strictly positive mass gap, and his study system awarded him a new effect.

• CERN released Xiao Yi’s derivation of the X field, prompting widespread attention to its possible links between the Higgs field and weak and strong interactions.
• Edward Witten and Peter Higgs praised the significance of the X field, while Witten said Xiao Yi was close to proving the Yang-Mills mass gap problem.
• At Princeton, Sarnak, Deligne, Bombieri, and Witten discussed Xiao Yi’s research and whether solving the mass gap problem could inspire new mathematical theories.
• CERN researchers reexamined collision data, prepared for another LHC run, and sought European Union funding to investigate the X field.
• The International Congress of Mathematicians organizing committee discovered that Xiao Yi had submitted the talk title “There Exists a Strictly Positive Mass Gap in Yang-Mills Theory,” leaving them convinced he had finished the proof.
• Xiao Yi’s study system recorded a high-value paper, raised his level to lv5, and granted him the extra effect Material Mastery.

Xiao Yi completed his proof of the Yang-Mills existence and mass gap problem and submitted a presentation on his new Hodge-Vertex Algebra Analytical Method to the International Congress of Mathematicians. The announcement stirred excitement among mathematicians and physicists worldwide as the conference approached in July.

• Xiao Yi finished proving the Yang-Mills mass gap problem and gained the Material Mastery effect from his upgraded study buff.
• Xiao Yi submitted his presentation topic and abstract just before the International Congress of Mathematicians deadline, then confirmed to Alexander Berezovsky that he had found a proof.
• Berezovsky arranged for Xiao Yi's presentation to be held on the first day of the conference and published its topic and abstract.
• Faltings and Schultz learned of Xiao Yi's result and examined the abstract describing his Hodge-Vertex Algebra Analytical Method.
• Mathematicians and physicists around the world reacted to the announcement, and the International Congress of Mathematicians drew applications from physicists.
• July 2022 arrived, and the International Congress of Mathematicians was about to begin.

Xiao Yi arrived in Saint Petersburg for the International Congress of Mathematicians, where he was set to present his proof of the Yang-Mills existence and mass gap problem. The report began before an audience of more than seven thousand, and Xiao Yi started laying out his proof.

• Chen Muhua, Lu Ping, and Jiang Long shared photos from their flight to Saint Petersburg, while Ye Cheng revealed that Xiao Yi had paid for the USTC students’ trip.
• Xiao Yi arrived in Saint Petersburg, was welcomed by Berezovsky and other mathematical leaders, and told the Joint Examination Group that his report would take place in three days.
• Xiao Yi sent ten thousand yuan in red packets to the group as he traveled to his hotel, while the group celebrated his arrival and upcoming report.
• On July 6, Chen Muhua, Ye Cheng, Lu Ping, and Jiang Long joined thousands of attendees at the EXPOFORUM Convention Center, where Xiao Yi arrived and greeted them.
• Berezovsky introduced Xiao Yi and described the significance of the Yang-Mills existence and mass gap problem before handing the stage to him.
• Xiao Yi opened his report by discussing Saint Petersburg’s White Nights and the scientific pursuit of truth, then displayed the claim that Yang–Mills theory had a strictly positive mass gap and began his proof.

Xiao Yi presented his proof of the Yang-Mills mass gap problem, tracing it through several failed approaches before introducing the Hodge-vertex algebra analytical method. He completed the proof, extended the method into Quantum Hodge theory, and derived a new particle he named the X particle, leaving the audience in a standing ovation.

• Faltings told Schultz that Xiao Yi had gained the calm bearing of a master, and Schultz reflected on what that state of mind meant.
• Xiao Yi described his attempts using Lattice QCD, Schwinger-Dyson equations, renormalization groups, and AdS/CFT before turning to Topological Quantum Field Theory.
• Xiao Yi derived an equivalent theorem for the mass gap problem from Yang-Mills theory on S^4 and introduced the Hodge standard conjecture as a clue to proving it.
• Xiao Yi combined Hodge decomposition, vertex algebra, and moduli spaces into the Hodge-vertex algebra analytical method, astonishing Deligne, Bombieri, Faltings, Schultz, and the other scholars.
• Xiao Yi used the method to prove the Yang-Mills existence and mass gap problem, then extended it into Quantum Hodge theory and derived a new particle he called the X particle.
• Xiao Yi ended his presentation, and the audience rose to applaud him thunderously.

Xiao Yi completed his lecture proving the Yang-Mills existence and mass gap problem, presenting methods and predictions that leading scholars said could have far-reaching effects. As the news spread worldwide, attention turned to the International Congress of Mathematicians’ opening ceremony and whether Xiao Yi would win the Fields Medal.

• Deligne, Bombieri, and Witten applauded Xiao Yi, while Witten described Quantum Hodge theory as a major advance for physics and string theory.
• Ye Cheng and his classmates celebrated Xiao Yi’s achievement and resolved to follow his example.
• Berezovsky ended the lecture, praised Xiao Yi’s contributions, and directed the audience to the banquet before the evening opening ceremony.
• At the banquet, Schultz congratulated Xiao Yi and asked whether he considered himself a master mathematician; Faltings signaled that Xiao Yi’s denial sounded like humility.
• News outlets and online platforms rapidly reported Xiao Yi’s proof, and Chinese netizens began speculating that he might win the Fields Medal that evening.

At the 2022 International Congress of Mathematicians opening ceremony, Xiao Yi received the fourth Fields Medal for his achievements across multiple areas of mathematics, including proving the Twin Prime Conjecture, the Goldbach Conjecture, and the Yang-Mills existence and mass gap problem. He returned to his seat with the medal as news spread that he had become the youngest recipient in history.

• Berezovsky found Xiao Yi at the banquet and brought him to the opening ceremony, where Schultz asked whether he expected to win the Fields Medal.
• Carlos Kenig presented the Chern Prize to Barry Mazur and the Gauss Prize to Eliot Leib before announcing the Fields Medal recipients.
• Kenig announced James Maynard, Hugo Duminil-Copin, and Hyeon-jun Huh as the first three Fields Medal recipients, leaving one award unsettled.
• Kenig praised Xiao Yi's broad mathematical achievements and announced him as the fourth recipient, prompting applause from the audience and congratulations from Schultz and other mathematicians.
• Kenig placed the Fields Medal around Xiao Yi's neck, and Xiao Yi accepted the medal, certificate, and prize money before returning to his seat.
• News spread that Xiao Yi had won the Fields Medal at nineteen, making him the youngest recipient in history.

After Xiao Yi won the Fields Medal and proved the Yang-Mills existence and mass gap problem, scholars and media debated whether he could also receive the Nobel Prize in Physics. Xiao Yi dismissed the speculation and gave CCTV an interview about his studies, the award, and his advice to scholars.

• Online discussions celebrated Xiao Yi as the first mainland mathematician to win the Fields Medal, while news outlets around the world covered his achievement.
• Terence Tao, Faltings, Deligne, and Edward Witten defended Xiao Yi's award, and Witten said his work qualified him for the Nobel Prize in Physics.
• Ye Cheng told Xiao Yi that people were calling him a Nobel Prize candidate, and Liang Qiuhao introduced himself and invited Xiao Yi to a CCTV interview.
• Xiao Yi finished his meal and joined Liang Qiuhao's interview, describing his enjoyment of difficult problems and his diligence as a student.
• Xiao Yi discussed his reaction to winning the Fields Medal, explained the academic value of his Yang-Mills proof, and urged scholars to remain curious about problems.