Starting October 2016 I will be a Postdoctoral Fellow in the School of Mathematical Sciences at Tel Aviv University under the mentorship of Asaf Nachmias and Ron Peled.
In general I am drawn toward problems connecting ideas from dynamical systems and statistical mechanics with combinatorics. Today I am focused on finding sufficient conditions for efficient approximation of thermodynamic quantities (e.g. topological entropy, pressure) in Z^d shift spaces. This has lead me to the study of Gibbs measures as equilibrium states, and the interplay between hard constraints and spatial mixing properties.
I completed my PhD at the Department of Mathematics of The University of British Columbia under the supervision of Brian Marcus. In Spring 2016 I was a visiting graduate student in the Counting Complexity and Phase Transitions program organized by the Simons Institute for the Theory of Computing at UC Berkeley. I did my undergraduate studies in the Faculty of Physical and Mathematical Sciences and the Department of Mathematical Engineering at University of Chile.