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John R. Klein

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John R. Klein (born 1962) is an American mathematician at Wayne State University working in algebraic topology and algebraic K-theory. His Ph.D. was completed in 1989 at Brandeis University under the supervision of Kiyoshi Igusa.[1] He is known for his work on the Calculus of functors as well as the homotopy theory of Poincaré duality spaces. With Thomas Goodwillie, he established the convergence of the embedding tower in the Calculus of functors in codimension at least three.[2] [3]

Selected Papers[edit]

  • Klein, John R. (2001), "The dualizing spectrum of a topological group", Mathematische Annalen, 319 (3): 421–456, MR 1819876
  • Klein, John R. (1999), "Poincaré duality embeddings and fiberwise homotopy theory", Topology, 38 (3): 597–620, MR 1670412
  • Goodwillie, Thomas G.; Klein, John R. (2008), "Multiple disjunction for spaces of Poincaré embeddings", Journal of Topology, 1 (4): 761–803, doi:10.1112/jtopol/jtn022, MR 2461855
  • Goodwillie, Thomas G.; Klein, John R.; Weiss, Michael S. (2001), Spaces of smooth embeddings, disjunction and surgery, Surveys on surgery theory, Vol. 2, Annals of Mathematics Studies, 149, Princeton University Press, pp. 221–284, MR 1818775


  1. John R. Klein at the Mathematics Genealogy Project
  2. Goodwillie, T.G.; Klein, J.R. (2015), "Multiple disjunction for spaces of smooth embeddings", Journal of Topology, 8 (3): 651–674, CiteSeerX, doi:10.1112/jtopol/jtv008
  3. Munson, Brian (2010), "On the manifold calculus of Goodwillie-Weiss", arXiv:1005.1698 [math.AT]

External links[edit]


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