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Pedro Ontaneda

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Pedro Ontaneda is a Peruvian-American mathematician specializing in topology. He is a distinguished professor at Binghamton University, a unit of the State University of New York. His research has broken new ground in the study of manifolds by finding new kinds of manifold with negative curvature; unlike previous examples they are not locally symmetric spaces. This work greatly expanded the known range of the important negatively curved manifolds. Ontaneda (2020) was described in Mathematical Reviews as "in what seems to be a technical tour de force, ... one can produce a negatively curved Riemannian manifold".[1]

Selected publications

  • F. T. Farrell, L. E. Jones, and P. Ontaneda (2007), "Negative curvature and exotic topology." In Surveys in Differential Geometry, Vol. XI, pp. 329–347, International Press, Somerville, MA.
  • F. Thomas Farrell and Pedro Ontaneda, "On the topology of the space of negatively curved metrics." J. Differential Geom. 86 (2010), no. 2, 273–301.
  • Pedro Ontaneda (2020), "Riemannian hyperbolization." Publ. Math. Inst. Hautes Études Sci. 131, 1–72.
  1. ^ MathSciNet MR4106793.