Recaps

Xiao Yi proved the Twin Prime Conjecture, developed Xiao’s Polynomial Expansion, and applied his mathematics to blockchain security while continuing new research. The arc ended with Xiao Yi receiving the Cole Algebra Prize and his share of the World Bank award before heading to Santa Barbara.

• Xiao Yi secured leave by solving Professor Liu Bin’s questions, then flew to Shangjing and traveled with Academician Xun Yong to Princeton for his report.
• Xiao Yi presented his proof of the Twin Prime Conjecture to a packed hall, and the audience gave him a standing ovation.
• Xiao Yi joined research projects with Terence Tao, James Maynard, and Zhang Yitang, then learned he had won the Cole Algebra Prize.
• Xiao Yi helped Leonard Kleinrock’s group design a secure cross-blockchain protocol and devised Xiao’s Polynomial Expansion, which he used to advance the Critical Line Theorem to 50%.
• Xiao Yi’s expansion attracted worldwide attention, and he presented its mathematical and security applications at the Joint Mathematics Meeting in San Jose.
• Brian Winston arranged the World Bank’s ten-million-dollar protocol prize, while Prabhakar Raghavan offered Xiao Yi a Google position that he declined to focus on mathematics.
• Hales Carl presented Xiao Yi with the Cole Algebra Prize, and Xiao Yi later received his six-million-dollar share of the World Bank award.

Xiao Yi helped Zhang Yitang prove the nonexistence of Landau-Siegel zeros, then developed Yishui Bit and joined Luo Mingya’s materials research. His Absolute Electronic Computation model produced accurate predictions for complex materials and drew international attention, while Xiao Yi left decisions about its use to researchers.

• Xiao Yi and Zhang Yitang completed their proof that the Landau-Siegel zero did not exist, and their paper appeared on arXiv to widespread mathematical attention.
• Xiao Yi returned to China, secured university support for Yishui Technology, and launched Yishui Bit after Huang Houping confirmed that its algorithm increased mining earnings.
• Xiao Yi joined Luo Mingya’s research group, helped identify lattice defects, and improved the lab’s computational methods and server capacity.
• Xiao Yi partnered with Luo Mingchuan to host Yishui Bit, which attracted hundreds of thousands of users and mining machines as its popularity spread overseas.
• Xiao Yi developed Absolute Electronic Computation using mathematical and computational methods, then tested it against experimental data with errors below one percent for several materials.
• Xiao Yi posted his paper on arXiv, and researchers at institutions including ETH Zurich and Princeton began verifying its predictions and considering applications.
• Edward Witten praised Xiao Yi’s ability to combine methods and suggested he study theoretical physics, while researchers debated the model’s benefits and limitations.
• Xiao Yi declined to direct how scientists should use Absolute Electronic Computation and attended Luo Mingya’s group celebration banquet.

Xiao Yi proved the Goldbach Conjecture, joined major research projects, and identified a new field that explained an anomalous W boson mass. He then proved the Yang-Mills mass gap problem, presented his work at the International Congress of Mathematicians, and won the Fields Medal.

• Xiao Yi combined his expansion with sieve methods and the circle method, proved the Goldbach Conjecture, and submitted the paper for review.
• Peter Sarnak and a committee of number theory experts reviewed Xiao Yi’s proof and confirmed that the Goldbach Conjecture had been proven.
• Xiao Yi presented his proof at the Great Hall of the People as his undergraduate graduation defense, then joined both the Academy of Mathematics and Systems Science and the Institute of Physics.
• Xiao Yi proposed using hydrogen to create iron vacancies in FeSe, and Pang Cheng’s team confirmed the method experimentally.
• Xiao Yi analyzed BEPC data and found an unusually high W boson mass, then worked with CERN and the China Institute of High Energy Physics to verify the result using one million data sets.
• Xiao Yi derived the X field to account for the W boson anomaly, developed a new approach to the Yang-Mills mass gap problem, and completed his proof.
• At the International Congress of Mathematicians, Xiao Yi presented his Hodge-vertex algebra analytical method, proved the Yang-Mills existence and mass gap problem, and derived Quantum Hodge theory and the X particle.
• Xiao Yi received the Fields Medal at nineteen, becoming its youngest recipient, and discussed his research and approach to difficult problems in a CCTV interview.

Xiao Yi established Science Island Laboratory, explained high-temperature superconductivity with XSC theory, and developed a practical 92 K FeSe superconductor that brought him into conflict with Nature. He then recruited a research team, advanced solid-state battery research, and published a new interface model before demonstrating a high-performance battery.

• Xiao Yi returned to China after receiving the Fields Medal, accepted research appointments at the Institute of Physics and USTC, and secured 500 million yuan to establish Science Island Laboratory.
• Xiao Yi developed XSC theory to explain high-temperature superconductivity, and Giorgio Parisi's experiments and studies from laboratories worldwide confirmed its predictions.
• Xiao Yi published Principles of Experimental Analysis, completed Science Island Laboratory, and led a team that produced silver-doped HCP FeSe with a 92 K transition temperature and strong mechanical properties.
• Nature demanded Xiao Yi disclose the FeSe preparation method, so he rejected the demand, posted a recording of the call, and withdrew his work from the journal.
• Xiao Yi recruited researchers for Science Island Laboratory and began research on solid-state batteries, while Zhao Guoqing initially obstructed Liu Xiaodong's departure before Liu joined Xiao Yi's team.
• Xiao Yi developed the Electron-Interface Reaction Migration Model and verified its accuracy with Liu Xiaodong and the research group, then published it on his own website.
• Xiao Yi supplied his team with a preparation process for a new lithium phosphorus sulfur chlorine electrolyte, and they assembled a solid-state battery that reached 1231 Wh/kg with strong cycle-life and stability results.