Liz Vivas research goals at the moment are to understand, as concretely as possible, local and global behavior of orbits of holomorphic self maps acting on complex spaces.
Her research is mainly in the area of discrete dynamical systems in several complex variables. Some specific problems that she is focused on are studying maps tangent to the identity in several variables, Fatou components for skew product maps, and the correspondence between vector fields and their time 1-maps. The holomorphic dynamics problems studied are motivated by important open questions in traditional several complex variables, complex geometry, affine algebraic geometry and other branches of mathematics. Recurrent themes in Prof. Vivas research are parabolic curves, parabolic manifolds, summability theory, vector fields, Fatou components and global basins of attraction.
Liz Vivas is currently an Assistant Professor at The Ohio State University. Before that she was a postdoctoral researcher at Universidad Federal Fluminense, Rio de Janeiro and Purdue Unversity, Lafayette, Indiana, USA. She completed her Ph.D. from University of Michigan in 2009 under the supervisition of Berit Stensones. Her interests include Complex Dynamics, Several Complex Variables and Complex Geometry.