Pedro Ontaneda Portal is a Peruvian-American mathematician specializing in topology and differential geometry.
[1] Ontaneda received his Ph.D. in 1994 from Stony Brook University (another unit of SUNY), advised by Lowell Jones.
Ontaneda's work deals with the geometry and topology of aspherical spaces, with particular attention to the relationship between exotic structures and negative or non-positive curvature on manifolds.
is Gromov hyperbolic but not isomorphic to a uniform lattice in a Lie group of rank 1.
These manifolds are obtained via the Riemannian hyperbolization procedure developed by Ontaneda in a series of papers, which is a smooth version of the strict hyperbolization procedure introduced by Ruth Charney and Michael W.
[4] The obstruction to being locally symmetric comes from the fact that Ontaneda's manifolds have nontrivial rational Pontryagin classes.
Ontaneda also made a "remarkable"[5] contribution to the classification of dynamical systems by constructing partially hyperbolic diffeomorphisms (a generalization of Anosov diffeomorphisms) on some simply connected manifolds of high dimension; see his 2015 paper.