# Shiing-Shen Chern

**S. S. ChernChernChen XingshenChern, Shiing-ShenChern Shiing-shenProf. S. S. ChernShiing Shen ChernShiing-shen Chern PrizeShing-Shen Chern**

Shiing-Shen Chern (, ; October 28, 1911 – December 3, 2004) was a Chinese-American mathematician and poet.wikipedia

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### Shaw Prize

**Shaw Prize in AstronomyShaw Prize in Life Science and MedicineShaw**

He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize.

Shiing-Shen Chern of China won the inaugural Mathematical Sciences award for his work on differential geometry.

### Nankai University

**NankaiUniversity Nan-k'aiNankai became a university**

At age 15, Chern entered the Faculty of Sciences of the Nankai University in Tianjin and was interested in physics, but not so much the laboratory, so he studied mathematics instead.

Nankai's alumni include the first Premier of the People's Republic of China Zhou Enlai, mathematician Shiing-Shen Chern and Nobel laureates Chen Ning Yang and Tsung-Dao Lee.

### Chern Medal

**Chern PrizeChern Medal AwardChern Medal Foundation**

In memory of Shiing-Shen Chern, the International Mathematical Union established the Chern Medal in 2010 to recognize "an individual whose accomplishments warrant the highest level of recognition for outstanding achievements in the field of mathematics".

It is named in honor of the late Chinese mathematician Shiing-Shen Chern.

### Wolf Prize in Mathematics

**Wolf PrizeMathematicsin Mathematics**

He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize.

### Mathematical Sciences Research Institute

**MSRIMSRI PublicationsMathematical Sciences Research Institute (MSRI)**

Chern worked at the Institute for Advanced Study (1943–45), spent nearly a decade at the University of Chicago (1949-1960), and then moved to University of California, Berkeley, where he co-founded the world-renowned Mathematical Sciences Research Institute in 1982 and was the institute's founding director. In 1981, together with colleagues Calvin C. Moore and Isadore Singer, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley, serving as the director until 1984.

The Mathematical Sciences Research Institute was founded in September 1982 by three UC Berkeley professors Shiing-Shen Chern, Calvin Moore, and Isadore M. Singer.

### Institute for Advanced Study

**Institute for Advanced StudiesInstitute for Advanced Study, PrincetonIAS**

Chern worked at the Institute for Advanced Study (1943–45), spent nearly a decade at the University of Chicago (1949-1960), and then moved to University of California, Berkeley, where he co-founded the world-renowned Mathematical Sciences Research Institute in 1982 and was the institute's founding director.

Among them are James Waddell Alexander II, Michael Atiyah, Enrico Bombieri, Shiing-Shen Chern, Pierre Deligne, Freeman J. Dyson, Albert Einstein, Clifford Geertz, Kurt Gödel, Albert Hirschman, George F. Kennan, Tsung-Dao Lee, J. Robert Oppenheimer, Erwin Panofsky, Atle Selberg, John von Neumann, André Weil, Hermann Weyl, Frank Wilczek, Edward Witten, Chen-Ning Yang and Shing-Tung Yau.

### Wilhelm Blaschke

**BlaschkeBlaschke, WilhelmW. Blaschke**

In 1932, Wilhelm Blaschke from the University of Hamburg visited Tsinghua and was impressed by Chern and his research.

His students at Hamburg included Shiing-Shen Chern, Luis Santaló, and Emanuel Sperner.

### Shing-Tung Yau

**YauS.-T. YauYau, Shing-Tung**

Shing-Tung Yau was one of his PhD students during this period, and he later won the Fields Medal.

Yau left for the University of California, Berkeley in the fall of 1969, where he received his Ph.D. in mathematics two years later, under the supervision of Shiing-Shen Chern.

### University of Hamburg

**Hamburg UniversityHamburgUniversität Hamburg**

Chern studied at the University of Hamburg and worked under Blaschke's guidance first on the geometry of webs then on the Cartan-Kähler theory and invariant theory.

### Chern–Simons theory

**Chern–SimonsChern-Simons theoryChern-Simons**

His work, most notably Chern-Gauss-Bonnet Theorem, Chern–Simons theory, and Chern classes, are still highly influential in current research in mathematics, including geometry, topology, and knot theory; as well as all branches of physics, including string theory, condensed matter physics, general relativity, and quantum field theory.

The Chern–Simons theory, named after Shiing-Shen Chern and James Harris Simons, is a 3-dimensional topological quantum field theory of Schwarz type developed by Edward Witten.

### Isadore Singer

**Isadore M. SingerSingerI. M. Singer**

In 1981, together with colleagues Calvin C. Moore and Isadore Singer, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley, serving as the director until 1984.

In early 1980s, while a professor at Berkeley, Singer co-founded the Mathematical Sciences Research Institute (MSRI) with Shiing-Shen Chern and Calvin Moore.

### Jiaxing

**Jiaxing, ZhejiangJiagxiJiaxing City**

Chern was born in Xiushui County, Jiaxing, in Zhejiang province.

### Calvin C. Moore

**Calvin MooreMoore, Calvin C.**

In 1981, together with colleagues Calvin C. Moore and Isadore Singer, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley, serving as the director until 1984.

With Shiing-Shen Chern and Isadore Singer, he co-founded Mathematical Sciences Research Institute in 1982.

### Center of Mathematical Sciences, Zhejiang University

**Center of Mathematical Sciences at Zhejiang UniversityCMS**

Chern was also a director and advisor of the Center of Mathematical Sciences at Zhejiang University in Hangzhou, Zhejiang.

The first directors and advisors were mathematicians Su Buqing and Shiing-Shen Chern, both of whom are Zhejiang natives.

### Projective differential geometry

**projective geometryprojectively**

He studied projective differential geometry under Sun Guangyuan, a University of Chicago-trained geometer and logician who was also from Zhejiang.

Further work from the 1930s onwards was carried out by J. Kanitani, Shiing-Shen Chern, A. P. Norden, G. Bol, S. P. Finikov and G. F. Laptev.

### Rao Yutai

At Nankai, Chern's mentor was mathematician Jiang Lifu, and Chern was also heavily influenced by the physicist Rao Yutai, considered to be one of the founding fathers of modern Chinese informatics.

His students included Wu Ta-You, Wu Daren, Yung-huai Kuo, Jiang Zehan, Ma Shijun, Shen Youzhen, Shiing-shen Chern and Zheng Huazhi.

### National Tsing Hua University

**National Tsinghua UniversityNTHUNational Tsing-Hua University**

Based on Chern's advice, a mathematical research center was established in Taipei, Taiwan, whose co-operational partners are National Taiwan University, National Tsing Hua University and the Sinica Academia Institute of Mathematics.

Such stellar records are particularly exemplified by the outstanding achievements of alumni, including two Nobel laureates in physics Dr. Chen-Ning Yang and Tsung-Dao Lee, one Nobel laureate in chemistry Dr. Yuan-Tseh Lee and one Wolf Prize winner in mathematics Dr. Shiing-Shen Chern.

### Richard Lashof

**Lashof, Richard**

He contributed to the field of geometric and differential topology, working with Shiing-Shen Chern, Stephen Smale, among others.

### Cartan's equivalence method

**Theory of equivalenceequivalence problemsprolongation**

He was a follower of Élie Cartan, working on the 'theory of equivalence' in his time in China from 1937 to 1943, in relative isolation.

(His techniques were later developed more fully by many others, such as D. C. Spencer and Shiing-Shen Chern.)

### Pontryagin class

**Pontryagin numberPontrjagin classPontryagin index**

As was shown by Shiing-Shen Chern and André Weil around 1948, the rational Pontryagin classes

### Gauss–Bonnet theorem

**Gauss-Bonnet theoremGauss–Bonnet formulaChern–Gauss–Bonnet formula**

On Chern, Weil wrote: ''... we seemed to share a common attitude towards such subjects, or towards mathematics in general; we were both striving to strike at the root of each question while freeing our minds from preconceived notions about what others might have regarded as the right or the wrong way of dealing with it.'' It was at the IAS that his work culminated in his publication of the generalization of the famous Gauss–Bonnet theorem to higher dimensional manifolds, now known today as the Chern Theorem.

The Chern theorem (after Shiing-Shen Chern 1945) is the 2n-dimensional generalization of GB (also see Chern–Weil homomorphism).

### University of California, Berkeley

**UC BerkeleyUniversity of California at BerkeleyBerkeley**

Chern worked at the Institute for Advanced Study (1943–45), spent nearly a decade at the University of Chicago (1949-1960), and then moved to University of California, Berkeley, where he co-founded the world-renowned Mathematical Sciences Research Institute in 1982 and was the institute's founding director.

In 1982, the Mathematical Sciences Research Institute (MSRI) was founded on the Berkeley campus at the request of three Berkeley mathematicians – Shiing-Shen Chern, Calvin Moore and Isadore M. Singer—and with the support of the National Science Foundation.

### André Weil

**WeilA. WeilAndre Weil**

There he worked with André Weil on the Chern–Weil homomorphism and theory of characteristic classes, later to be foundational to the Atiyah–Singer index theorem.

### Connection (mathematics)

**connectionconnectionsconnected**

He delivered his address on the Differential Geometry of Fiber Bundles. According to Hans Samelson, in the lecture Chern introduced the notion of a connection the principal fiber bundle, a generalization of the Levi-Civita connection.

Ehresmann connections were rather a solid framework for viewing the foundational work of other geometers of the time, such as Shiing-Shen Chern, who had already begun moving away from Cartan connections to study what might be called gauge connections.

### Kunming

**Kunming, ChinaKunming CityKunming, Yunnan**

Three universities including Peking University, Qinghua, and Nankai formed the National Southwestern Associated University (NSAU), and relocated to Kunming, Yunnan province.