Julius Shaneson

from Wikipedia, the free encyclopedia

Julius L. Shaneson (born July 24, 1944 in Richmond , Virginia ) is an American mathematician who studies topology . He is a professor at the University of Pennsylvania .

Shaneson received his doctorate in 1968 from Melvin Rothenberg at the University of Chicago ( Wall 's Surgery Obstruction Groups for Z x G and Classification of 5-Manifolds ). He was professor at Rutgers University from the mid-1970s and at the University of Pennsylvania from the mid-1990s, where he was head of the mathematics faculty from 2002 to 2006.

Together with Sylvain Cappell, he published a series of papers on the problem of the connection between topological similarity and linear equivalence, on higher-dimensional knot theory, characteristic classes of singular spaces, and on geometric numbering of grid points with applications in number theory.

He was invited speaker at the International Congress of Mathematicians in Warsaw in 1983 ( Linear algebra, topology and number theory ) and in Zurich in 1994 ( Characteristic Classes, Lattice Points and Euler-MacLaurin Formulas ). He was a Guggenheim Fellow (1981) and a Sloan Research Fellow .

Fonts

  • with Cappell: The codimension two placement problem and homology equivalent manifolds , Annals of Mathematics, Volume 99, 1974, pp. 277-348
  • with Cappell: Non-linear Similarity , Annals of Mathematics, Volume 113, 1981, pp. 315-355
  • with Cappell: There exists inequivalent knots with the same complement , Annals of Mathematics, Volume 103, 1976, pp. 349-353
  • with Cappell: Singular spaces, characteristic classes, and intersection homology , Annals of Mathematics, Volume 134, 1991, pp. 325-374
  • with Cappell: Stratifiable maps and topological invariants , J. Amer. Math. Soc., Vol. 4, 1991, pp. 521-551
  • with Cappell: Fixed points of periodic differentiable maps , Inventiones Mathematicae, Volume 68, 1982, pp. 1-19
  • with Cappell: Singularities and immersions , Annals of Mathematics, Volume 105, 1977, pp. 539-552
  • with Cappell: Piecewise linear embeddings and their singularities , Annals of Mathematics, Volume 103, 1976, pp. 163-228
  • with Cappell: Some new four-manifolds , Annals of Mathematics, Volume 104, 1976, pp. 61-72
  • with Cappell, Mark Steinberger, James E. West: Nonlinear conjugacy begins in dimension six , American Journal of Mathematics, Volume 111, 1989, p. 717
  • with R. Lashof: Smoothing 4-manifolds , Inventiones Mathematicae, Volume 14, 1971, pp. 197-210

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project . Published as Wall's surgery obstruction groups for G x Z , Annals of Mathematics, Volume 90, 1969, pp. 296-334
personal data
SURNAME Shaneson, Julius
ALTERNATIVE NAMES Shaneson, Julius L.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 24, 1944
PLACE OF BIRTH Richmond, Virginia