Wu-Chung Hsiang

Wu-Chung Hsiang (born June 12, 1935 in Zhejiang ) is a Sino-American mathematician who deals with topology .

Hsiang studied at the National University of Taiwan (Bachelor's degree in 1957) and received his PhD from Princeton University in 1962 with Norman Steenrod (Obstructions to sectioning fiber bundles). From 1962 he was a lecturer and from 1963 assistant professor at Yale University . In 1965/66 he was at the Institute for Advanced Study (as well as 1971/72 and 1979/80) and in 1966 as a visiting scholar at the University of Warwick . From 1968 he was professor at Yale and from 1972 professor at Princeton, whose mathematics faculty he headed from 1982 to 1985. He has been Professor Emeritus there since 2006. Among other things, he was visiting professor at the University of Amsterdam (1969), the University of California, Berkeley (1976), the University of Bonn (1971), MSRI and Stanford University (1980).

Hsiang made important contributions to many areas of algebraic and geometric topology and differential topology. Work by Hsiang, Julius Shaneson , CTC Wall , Robion Kirby , Laurent Siebenmann and Andrew Casson led to the solution of the ring problem in topology (for more than four dimensions) in the 1960s. The problem is important, for example, for the triangulation of manifolds.

He worked with F. Thomas Farrell on a program to prove the Novikov and Borel conjectures using methods of geometric topology and they carried out the proof for special cases (e.g. they gave a proof of the integer Novikov conjecture for closed Riemannian manifolds non-positive cutting curvature ).

From 1967 to 1969 he was a Sloan Research Fellow and 1975/76 Guggenheim Fellow. Since 1980 he has been a member of the Academia Sinica . In 1970 he was invited speaker at the ICM in Nice (Differentiable actions of compact connected Lie groups on ) and in 1983 gave a plenary lecture at the ICM in Warsaw (Geometric applications of algebraic K-theory). In 1989 he was elected to the American Academy of Arts and Sciences . In 2005 there was a conference on his 70th birthday at Stanford University. ${\ displaystyle R ^ {n}}$

He is the brother of mathematician Wu-Yi Hsiang .

His PhD students include F. Thomas Farrell , Lowell Edwin Jones , Ian Hambleton, and Steven Weintraub .

Web links

Curriculum Vitae of Hsiang, PDF file ( Memento from January 17, 2006 in the Internet Archive )
List of publications, PDF file ( Memento from January 17, 2006 in the Internet Archive )
Short portrait in Princeton

References

↑ Wu-Chung Hsiang in the Mathematics Genealogy Project (English)
↑ which asks whether the area between two (n-1) -dimensional spheres embedded in an n-dimensional sphere (locally flat) is homeomorphic to a ring, the product of an (n-1) dimensional sphere with the unit interval
^ Hsiang, Julius L. Shaneson : Fake Tori, the annulus conjecture, and the conjecture of Kirby. In: Proceedings of the National Academy of Sciences of the United States of America . Vol. 62, No. 3, 1969, pp. 687-691, JSTOR 59159 .
^ Hsiang: Borel's conjecture, Novikov's conjecture and K-theoretic analogues. In: Ming-Chang Kang, Ko-Wei Lih (Eds.): Algebra, Analysis and Geometry. Proceedings of the Symposium in Honor of Chen-Jung Hsu and Kung-Sing Shih. National Taiwan University, June 27-29, 1988. World Scientific, Singapore et al. 1989, ISBN 9971-5-0898-2 , pp. 39-58.
^ Francis T. Farrell , Hsiang: On Novikov's conjecture for non-positively curved manifolds, I. In: Annals of Mathematics . Series 2, Vol. 113, No. 1, 1981, pp. 199-209, doi : 10.2307 / 1971138 .

personal data
SURNAME	Hsiang, Wu-Chung
BRIEF DESCRIPTION	Chinese-American mathematician
DATE OF BIRTH	June 12, 1935
PLACE OF BIRTH	Zhejiang

[1] Wu-Chung Hsiang in the Mathematics Genealogy Project (English)

[2] which asks whether the area between two (n-1) -dimensional spheres embedded in an n-dimensional sphere (locally flat) is homeomorphic to a ring, the product of an (n-1) dimensional sphere with the unit interval

[3] Hsiang, Julius L. Shaneson : Fake Tori, the annulus conjecture, and the conjecture of Kirby. In: Proceedings of the National Academy of Sciences of the United States of America . Vol. 62, No. 3, 1969, pp. 687-691, JSTOR 59159 .

[4] Hsiang: Borel's conjecture, Novikov's conjecture and K-theoretic analogues. In: Ming-Chang Kang, Ko-Wei Lih (Eds.): Algebra, Analysis and Geometry. Proceedings of the Symposium in Honor of Chen-Jung Hsu and Kung-Sing Shih. National Taiwan University, June 27-29, 1988. World Scientific, Singapore et al. 1989, ISBN 9971-5-0898-2 , pp. 39-58.

[5] Francis T. Farrell , Hsiang: On Novikov's conjecture for non-positively curved manifolds, I. In: Annals of Mathematics . Series 2, Vol. 113, No. 1, 1981, pp. 199-209, doi : 10.2307 / 1971138 .