第一财经

Dialogue with Fields winner Deng Yu: Both talent and effort are important. If I hadn't studied mathematics, I would have wanted to write science fiction novels.

原文:对话菲尔兹得主邓煜:天赋和努力都重要,不做数学的话想写科幻小说

Summary of Key Points

Chinese mathematicians Deng Yu and Wang Hong won the Fields Medal (the most prestigious award for young researchers in mathematics) for the first time at the 2026 International Congress of Mathematicians. Deng Yu was honored for his groundbreaking solution to Hilbert's Sixth Problem, a challenge that has plagued the mathematical community for 125 years. The news also details Deng Yu’s journey from an ordinary upbringing to overcoming challenges, his rigorous research approach, his cautious view on AI (seeing it as a tool with a mathematical foundation), and his perspective on debunking misconceptions about talent and age.

I. First Fields Medal Award: A Major Breakthrough for Chinese Mathematics

The Fields Medal is considered the “Oscar” of mathematics, awarded to mathematicians under 40 every four years, with a maximum of four recipients globally each time. The victory of Deng Yu and Wang Hong marks the first time that Chinese scholars have received this award, indicating that Chinese mathematical research has reached the forefront among the world’s young talents.

Deng Yu’s achievement is a crucial step in solving Hilbert’s Sixth Problem—a difficult problem posed 125 years ago that aims to explain how the motion of microscopic particles (such as molecular collisions) leads to macroscopic physical phenomena (such as changes in gas temperature). His team used rigorous mathematical proofs to complete this logical chain, not only strengthening the foundations of physics but also opening the door for further research.

II. Deng Yu’s Journey: Even Geniuses Face Challenges; Hard Work Is More Important Than Talent

Deng Yu was not a “child prodigy.” His interest in science began with the book “One Hundred Thousand Whys” and a math problem that occupied him all afternoon in elementary school—the excitement of finding a solution planted the seeds of his passion for mathematics. His academic path from Peking University to MIT and then to Princeton seemed straightforward, but there were moments of doubt. While studying at MIT, he struggled with his research direction for several years, questioning whether he was cut out for mathematics.

It wasn’t until 2018 that he returned to an old problem, using new knowledge and perspectives to find a breakthrough. Deng Yu views talent pragmatically: “Talent is intangible; only through hard work can one prove their potential. Without effort, talent is meaningless.”

III. A Rigorous Research Style: Focusing on Details and Taking Time

The mathematical community is divided into those who prefer abstract theories (the “soft approach”) and those who delve into the microscopic structure (the “hard approach”), with Deng Yu being a clear example of the latter. His paper on solving Hilbert’s Sixth Problem was over 200 pages long, requiring meticulous proof at every step.

He finds inspiration in everyday activities, such as walking along lakes and rivers—places like Weiming Lake at Peking University, the Charles River at MIT, and the canals at Princeton. When faced with difficult problems, he doesn’t dwell on them endlessly but keeps them in mind while exploring other approaches. A friend’s advice influenced him greatly: “Generate 100 ideas a day; it’s okay if 99 are wrong, as long as one is correct.”

IV. A Cautious Attitude Towards AI: AI as a Tool, But Mathematics Is the Foundation

While current AI models can prove theorems, Deng Yu believes they are not yet capable of conducting advanced research independently: “AI can help with small steps and provide ideas, but writing complex proofs still requires human expertise.”

He is more concerned about the fundamental questions behind AI: How much computing power is needed for it to function, and whether it could become uncontrollable? These issues can only be answered by mathematicians who establish a solid mathematical foundation; otherwise, AI would be like a castle in the air.

V. Debunking Misconceptions: Mathematics Is Not a Short-Term Career; Science Fiction and Mathematics Are Closely Related

Some argue that mathematicians’ success is limited to their youth, but Deng Yu counters this with examples of great mathematicians like Sergiu Kleinerman, who made significant breakthroughs before the age of 40, and Zhang Yitang, who achieved world-renowned results in his later years. “Mathematical research is less about age and more about continuous thinking.”

In his personal life, Deng Yu has non-mathematical interests, such as poetry. He even says that if he hadn’t chosen mathematics, he might have become a science fiction writer, as both genres involve setting up fictional premises and using rigorous logic to develop their stories.

This news not only celebrates the award but also reveals the human side of top mathematicians: they face doubts, work hard, and have ordinary hobbies. China’s first Fields Medal win marks a shift from following others to leading the way in mathematical research.