I am a Chilean PhD student in mathematics at Northwestern University, advised by Bryna Kra. My research focuses on additive structures from an ergodic theory viewpoint.
I am currently interested in studying infinite sumset patterns in subsets of the integers. Drawing on the structure-randomness dichotomy, the main tools for these problems include the Furstenberg correspondence principle, the Host–Kra structure theory, and recent breakthroughs by Kra, Moreira, Richter and Robertson.
My other research area concerns uniform obstruction to mixing in low-complexity subshifts. More precisely, I focus on partial rigidity for ergodic measures in substitution subshifts, S-adic subshifts and Bratteli-Vershik systems. The main tools used in this research were developed with Alejandro Maass and Sebastián Donoso during my master's thesis at University of Chile.