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Shing-Tung Yau

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Shing-Tung Yau is a highly influential Chinese-American mathematician. He is a leading figure in modern differential geometry and geometric analysis. Differential geometry is the study of how shapes and spaces curve and change. Geometric analysis uses tools from calculus to solve problems about these shapes. Yau's work provides the mathematical language needed to describe the universe. His research connects deep mathematical theories to the physical laws of nature.

His mathematical achievements involve solving complex problems regarding shapes and equations. One of his most famous successes was resolving the Calabi conjecture. This work involves understanding specific types of complex shapes. He also worked with Shiu-Yuen Cheng to solve the boundary-value problem for the Monge–Ampère equation. Another major contribution was the positive mass theorem. He achieved this result alongside Richard Schoen to help explain general relativity. This theorem is vital for understanding how gravity works in space.

Yau's research spans many different types of mathematics. He has made significant contributions to convex geometry and algebraic geometry. He also worked on enumerative geometry and the theory of mirror symmetry. His ideas regarding minimal surfaces were developed alongside William Meeks. Minimal surfaces are shapes that occupy the least amount of area. He also helped develop the Donaldson-Uhlenbeck-Yau theorem with Karen Uhlenbeck. These different branches of math all help describe how space is structured.

The life of Shing-Tung Yau is a story of movement and perseverance. He was born in Shantou, China, in 1949 to Hakka parents. His family moved to British Hong Kong when he was a small child. He later moved to the United States in 1969 to study. He attended the University of California, Berkeley, for his Ph.D. program. He graduated in 1971 under the supervision of Shiing-Shen Chern. During this time, he was inspired by the work of John Milnor.

Between 1978 and 1990, Yau experienced a unique period of being stateless. This happened because his Hong Kong residency was revoked after he gained U.S. permanent residency. He lived without a passport for many years. Even while stateless, he received the Fields Medal in 1982. He stated he was proud to be considered Chinese during that time. He eventually became a United States citizen in 1990. His journey shows how personal history can intersect with global politics.

Yau has held many prestigious positions at famous universities. He was a professor at Stanford and the Institute for Advanced Study. He served as the William Caspar Graustein Professor at Harvard University. In 2022, he retired from Harvard and moved to Tsinghua University. He now directs the Yau Mathematical Sciences Center there. He has also helped found many other mathematical institutes in China. These centers allow scientists to collaborate on new ideas.

Beyond his own research, Yau is a dedicated educator and leader. He has advised more than seventy Ph.D. students throughout his career. He also works to fundraise for mathematical activities in mainland China and Hong Kong. He helped establish the Morningside Center of Mathematics at the Chinese Academy of Sciences. He also created the International Congress of Chinese Mathematicians. This event helps mathematicians from different places meet every three years. His goal is to build a strong future for mathematical science.

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