My research lies at the intersection of differential geometry, geometric analysis, and algebraic methods in geometry. I am currently a professor and researcher at Universidad de Las Américas, Quito, Ecuador, where I am part of the Mathematics and Physics research group.
My main research interests include Riemannian geometry, special geometric structures, geometric flows, homogeneous spaces, minimal submanifolds, and systolic inequalities. In particular, my work focuses on G_2-structures and related topics, such as harmonic G_2-structures, the Laplacian coflow on homogeneous spaces and contact Calabi--Yau manifolds, and modified versions of the Laplacian coflow.
I have also worked on the Riemannian geometry of real flag manifolds of G_2-type and on the Ricci flow using tools from dynamical systems. More recently, my research has expanded toward questions concerning the existence and uniqueness of geometric flows, constant scalar curvature problems for CR-structures, and variational aspects of geometric structures.
Before joining Universidad de Las Américas, I held postdoctoral positions in Brazil and France. I obtained my Ph.D. in Mathematics from the University of Campinas, where I wrote my thesis under the supervision of Henrique Sá Earp.
Orcid: 0000-0002-5227-0219
Email: julieth.p.saavedra@gmail.com