Pedro Ontaneda

Pedro Ontaneda Portal 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. He received his Ph.D. in 1994 from Stony Brook University (another unit of SUNY), advised by Lowell Jones; subsequently he taught at the Federal University of Pernambuco in Brazil before moving to Binghamton.

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", making a major breakthrough in the theory of Riemannian manifolds. His joint paper (2015) contributed a "remarkable" expansion to the classification of dynamical systems by showing that Anosov diffeomorphisms exist on many manifolds of high dimension.

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 (2010), "On the topology of the space of negatively curved metrics." Journal of Differential Geometry 86, no. 2, pp. 273–301.
• Andrey Gogolev, Pedro Ontaneda, and Federico Rodriguez Hertz (2015), "New partially hyperbolic dynamical systems I." Acta Mathematica 215, no. 2, pp. 363–393.
• Pedro Ontaneda (2020), "Riemannian hyperbolization." Publ. Math. Inst. Hautes Études Sci. 131, pp. 1–72.