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Chern, Shiing-Shen

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Chern, Shiing-Shen, 1911–2004, Chinese-American mathematician, b. Kashing (now Jiaxing), China, D.Sc. Hamburg, 1936. While undertaking graduate studies in China (1932–34), Chern developed what became a lifelong interest in differential geometry r moves along a curve at arc length s from some fixed point, then t = dr/ds is a unit tangent vector to the curve at r. The normal vector n
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. Pioneered in the 19th cent. by Carl Friedrich Gauss Gauss, Carl Friedrich (kärl frē`drĭkh gous)
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 in his studies of curves and surfaces, differential geometry received little attention among mathematicians until the 1930s and 40s, but Chern transformed this dormant branch of mathematics into a vibrant area of study. Studying the curvature of surfaces in spaces with more than three dimensions, he devised mathematical quantities that he called characteristic classes—now known as Chern classes—that differentiated different types of surfaces. The fields on which he had the greatest impact, global differential geometry and complex algebraic geometry, are fundamental to many areas of mathematics and theoretical physics, and his work at the foundation of gauge theory and string theory string theory, description of elementary particles based on one-dimensional curves, or "strings," instead of point particles. Superstring theory, which is string theory that contains a kind of symmetry known as supersymmetry, shows promise as a way of unifying the
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, among the most important developments of modern theoretical physics.


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