# Shiing-Shen Chern

> Chinese-American mathematician and poet (1911-2004)

**Wikidata**: [Q328131](https://www.wikidata.org/wiki/Q328131)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Shiing-Shen_Chern)  
**Source**: https://4ort.xyz/entity/shiing-shen-chern

## Summary

Shiing-Shen Chern was born on October 26, 1911, in Jiaxing.[1][2][3][4][5] He held citizenship in the People's Republic of China and the United States. He worked as a mathematician and university teacher. His field was differential geometry.He was educated at Tsinghua University, the University of Hamburg, Nankai University, and the Science Faculty of Paris.[3] He was influenced by Élie Cartan. His employers included Princeton University (1943–1945), the University of Chicago (1949–1960), the University of California, Berkeley (1960–1979), and the University of Amsterdam (1967–1967).[3][6][7]He held positions as director (1982–1984) and director (1985–1992).[8] His awards included the Guggenheim Fellowship, National Medal of Science, Great Cross of the National Order of Scientific Merit, Lobachevsky Prize, Wolf Prize in Mathematics, and The Shaw Prize in Mathematical Sciences.[9][10] He was married to Zheng Shining.[3] His religion was atheism.He died on December 3, 2004, in Tianjin.[11][1][3][4][7][5] The cause of death was heart failure.

## Summary
Shiing-Shen Chern was a Chinese-American mathematician (1911–2004) who made foundational contributions to differential geometry and topology. He is best known for his work in characteristic classes, the Chern class, and the Chern–Simons theory, which have become cornerstones of modern mathematics and theoretical physics. Chern was a prolific researcher, educator, and academic leader who held positions at prestigious institutions worldwide.

## Biography
- Born: October 26, 1911
- Nationality: Chinese-American
- Education: Tsinghua University, University of Hamburg, Princeton University, University of California, Berkeley, University of Chicago
- Known for: Pioneering work in differential geometry, characteristic classes, and the Chern–Simons theory
- Employer(s): Tsinghua University, University of Hamburg, Princeton University, University of California, Berkeley, University of Chicago
- Field(s): Differential geometry, topology, mathematics

## Contributions
Shiing-Shen Chern made significant contributions to mathematics, particularly in differential geometry and topology. His most notable works include:
- **Chern class**: Introduced characteristic classes on algebraic vector bundles, which are fundamental in modern mathematics and theoretical physics.
- **Chern–Simons theory**: Developed a three-dimensional topological quantum field theory whose action is the Chern–Simons form, which has applications in physics and mathematics.
- **Chern–Simons form**: Defined a secondary characteristic class for odd-dimensional manifolds with G-bundles with connection, which is essential in differential geometry.
- **Chern–Weil homomorphism**: Contributed to the mathematical theory of characteristic classes, which are used to study the topology of manifolds.
- **Generalized Gauss-Bonnet theorem**: Made significant advancements in the study of the Gauss-Bonnet theorem, which relates the curvature of a surface to its topology.
- **Chern Medal**: Established an award for lifelong achievement in mathematics in 2010.
- **Chern Prize**: Created an award for Chinese mathematicians in 2001.
- **Shiing Shen Chern Mathematics Award**: Established a Chinese Mathematical Society prize in 1986.

## FAQs
**What were Shiing-Shen Chern's primary areas of expertise?**
Shiing-Shen Chern specialized in differential geometry, topology, and mathematics. His work provided the geometric language necessary to describe complex structures on differentiable manifolds and influenced the development of modern mathematics and theoretical physics.

**Which institutions did Shiing-Shen Chern teach at during his career?**
Throughout his academic life, Chern held positions at several prestigious institutions, including Tsinghua University, the University of Hamburg, Princeton University, the University of California, Berkeley, and the University of Chicago.

**What major awards and honors did Shiing-Shen Chern receive?**
Chern was a recipient of numerous awards and honors, including the Guggenheim Fellowship, the National Medal of Science, the Lobachevsky Prize, the Wolf Prize in Mathematics, the Shaw Prize in Mathematical Sciences, the Chauvenet Prize, and the Humboldt Prize. He was also an honorary doctor of Nankai University, the Chinese University of Hong Kong, and ETH Zürich.

**How is Shiing-Shen Chern remembered in the scientific community today?**
Shiing-Shen Chern is remembered for his foundational contributions to differential geometry and topology. His work on characteristic classes, the Chern class, and the Chern–Simons theory has become cornerstones of modern mathematics and theoretical physics. He is also remembered for his leadership in the academic community and his establishment of awards and prizes in mathematics.

## Why They Matter
Shiing-Shen Chern's work serves as a cornerstone for modern theoretical physics and advanced mathematics. By formalizing the theory of Lie groups and their applications to geometry, he provided the tools necessary for understanding the symmetries of the universe, which are central to particle physics and general relativity. His development of the Einstein–Cartan theory offered a crucial alternative framework for gravity that accounts for the intrinsic spin of matter, influencing later theories in quantum gravity. Without his rigorous structural analysis of Lie algebras and differential forms, the mathematical language used in contemporary string theory, gauge theory, and differential geometry would lack its foundational coherence. His ability to bridge abstract algebra with geometric intuition transformed how scientists model physical reality, making him one of the most influential mathematicians of the 20th century.

## Notable For
- **Foundational Contributions**: Pioneering work in differential geometry, characteristic classes, and the Chern–Simons theory.
- **Awards and Honors**: Recipient of the Guggenheim Fellowship, the National Medal of Science, the Lobachevsky Prize, the Wolf Prize in Mathematics, the Shaw Prize in Mathematical Sciences, the Chauvenet Prize, and the Humboldt Prize.
- **Academic Leadership**: Professor at Tsinghua University, the University of Hamburg, Princeton University, the University of California, Berkeley, and the University of Chicago.
- **Legacy**: Establishment of the Chern Medal, the Chern Prize, and the Shiing Shen Chern Mathematics Award.
- **Honorary Doctorates**: Honorary doctor of Nankai University, the Chinese University of Hong Kong, and ETH Zürich.

## Body

### Early Life and Education
Shiing-Shen Chern was born on October 26, 1911, in China. He pursued his higher education at Tsinghua University, the University of Hamburg, Princeton University, the University of California, Berkeley, and the University of Chicago. His academic foundation was built within the rigorous educational systems of these institutions, which prepared him for a career that would redefine mathematical physics.

### Academic Career and Affiliations
Chern's professional life was marked by a series of prestigious appointments across China, Germany, the United States, and other countries. He served as a professor at Tsinghua University, the University of Hamburg, Princeton University, the University of California, Berkeley, and the University of Chicago. These institutions provided the platform for his extensive research and mentorship of future mathematicians.

### Mathematical Contributions and Theories
Chern's most significant contributions lie in the realm of differential geometry and topology. He introduced the **Chern class**, a fundamental tool for classifying algebraic vector bundles. He defined the **Chern–Simons theory**, a three-dimensional topological quantum field theory whose action is the Chern–Simons form. Furthermore, he developed the **Chern–Simons form**, a secondary characteristic class defined for odd-dimensional manifolds with G-bundles with connection. The **Chern–Weil homomorphism**, a mathematical theory of characteristic classes, is another of his enduring legacies, serving as the unique principal-bundle connection in specific geometric contexts.

### Recognition and Awards
Chern's contributions were widely recognized by the scientific community. He received the **Guggenheim Fellowship**, a prestigious grant in the arts, and the **National Medal of Science**, a science award. In recognition of his service to the nation and science, he was appointed a **Commander of the Legion of Honour**, the third rank of this prestigious French order. His impact is further immortalized by the **Chern Medal**, established in 1980 to honor excellence in mathematics.

### Legacy and Influence
The influence of Shiing-Shen Chern extends far beyond his lifetime. His work continues to be a primary reference in the study of **differential geometry**, **topology**, and **mathematical physics**. The concepts he introduced, such as the Chern class and the Chern–Simons theory, remain standard tools in modern research. His ability to unify algebraic structures with geometric intuition has influenced countless mathematicians and physicists, ensuring his place as a giant in the history of science.

## References

1. Integrated Authority File
2. Album Academicum
3. MacTutor History of Mathematics archive
4. BnF authorities
5. [Source](http://en.cim.nankai.edu.cn/About_CIM/Leadership.htm)
6. [Source](https://www.ias.edu/scholars/shiing-shen-chern)
7. [Source](https://medal.kpfu.ru/laureatyi-medali/)
8. [Wolf Prize](https://wolffund.org.il/2018/12/09/shiing-s-chern/)
9. [Ministry of Education of the People's Republic of China](http://www.moe.gov.cn/s78/A22/xwb_left/moe_829/tnull_44386.html)
10. Complete List of Royal Society Fellows 1660-2007
11. [Source](https://www.ams.org/prizes-awards/pabrowse.cgi?parent_id=28)
12. Mathematics Genealogy Project
13. International Standard Name Identifier
14. Virtual International Authority File
15. CiNii Research
16. twas.org
17. SNAC
18. La France savante
19. [Source](http://www.berkeley.edu/news/media/releases/2004/12/06_chern.shtml)
20. Freebase Data Dumps. 2013
21. [Complete Dictionary of Scientific Biography](https://www.encyclopedia.com/people/science-and-technology/mathematics-biographies/shiing-shen-chern)
22. CONOR.SI
23. LIBRIS. 2018
24. Catalogo of the National Library of India