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Shing-Tung Yau
Mathematician

Shing-Tung Yau

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Proving the Calabi conjecture and transforming the study of curved spaces through geometric analysis.

Calabi conjecture · Positive mass theorem

Born
4 April 1949
Birthplace
Guangdong, China

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Shing-Tung Yau

Shing-Tung Yau uses differential equations to investigate geometry. His proof of the Calabi conjecture revealed spaces that became important in both mathematics and theoretical physics, and his wider research earned the 1982 Fields Medal.

Early life

Hong Kong upbringing

His family moved from mainland China to Hong Kong when he was an infant.

From Hong Kong to Berkeley

Studied at the Chinese University of Hong Kong before completing a Berkeley doctorate under Shiing-Shen Chern in 1971.

Career

  1. 1970s

    Early appointments

    Worked at the Institute for Advanced Study, Stony Brook and Stanford while developing geometric analysis.

  2. 1979–1987

    Research centres

    Returned to the Institute for Advanced Study and later taught at the University of California, San Diego.

  3. 1987–2022

    Harvard and Tsinghua

    Spent decades at Harvard before moving to a full-time role at Tsinghua University.

Contributions

Calabi conjecture

Established the existence of special metrics on important classes of complex spaces.

Positive mass theorem

With Richard Schoen, proved a central result connecting geometry and general relativity.

Fields Medal

Recognised for contributions to differential geometry and partial differential equations.

Beyond mathematics

Mathematical communities

Helped establish research institutes and support young mathematicians in China and internationally.

Writing for wider audiences

Co-authored books explaining geometry’s relationship to physics and recounting his own mathematical journey.

Sources & photo creditLife, career and referencesInstitutional biography and research

Photo: Academia Sinica. Attribution · Original image. Cropped and displayed in monochrome.