Sylvain Cappell
Sylvain Cappell Edward ( born September 10, 1946 in Brussels) is an American mathematician who deals with topology.
Cappell came in 1950 to New York City where he attended the Bronx High School of Science. As a student he won the Westinghouse talent competition with a mathematical work. He studied at Columbia University with a bachelor's degree in 1966 and in 1969 received his doctorate from Princeton University with William Browder (Super - spinning and knot complements ). From 1969 he was at Princeton University, where he was Assistant Professor and Associate Professor in 1974 and from 1978 professor at the Courant Institute of Mathematical Sciences of New York University. There he is Silver Professor of Mathematics.
He is known for his codimension 1 splitting theorem in the higher-dimensional geometric topology ( emerged from his dissertation ) and for a number of results with Julius Shaneson inter alia, to higher-dimensional knot theory. to the problem of topological similarity. (after Georges de Rham ), and finally to geometric numbers of grid points with number-theoretic applications
In its decomposition sets it comes to the question of when a decomposition of a manifold M in a Connected sum of submanifolds N ( codimension 1) homotopy invariant is. He showed that this is the case if the fundamental group of N root - completed (square root closed) in the fundamental group of M is. The obstruction to the homotopy invariant decomposition is called UNIL groups.
1970/71 he was a visiting professor at Harvard University ( 1981 and again in Harvard ), 1973 at the IHES and 1972 at the Weizmann Institute.
His doctoral Shmuel Weinberger heard.
In 2012 he became a Fellow of the American Mathematical Society. 1989/90 he was a Guggenheim Fellow, 1966/67, Woodrow Wilson Fellow and Sloan Fellow from 1971 to 1973.
He is a U.S. citizen. He has been married since 1966 and has four children.
Writings
- A splitting theorem for manifolds and surgery groups, Bulletin of the AMS, Volume 77, 1971, p 281-286
- The codimension two placement with Shaneson a problem and homology equivalent manifolds, Annals of Mathematics, Volume 99, 1974, p 277-348
- With Shaneson Non-linear Similarity, Annals of Mathematics, Volume 113, 1981, p 315-355
- With Shaneson There exists inequivalent knots with the same complement, Annals of Mathematics, Volume 103, 1976, p 349-353
- With Shaneson, Mark Steinberger, James E. West Nonlinear conjugacy begins in dimension six, American Journal of Mathematics, Volume 111, 1989, p 717