Regular biography
Giulio Tiozzo is an Associate Professor in the Department of Mathematics at the University of Toronto. His research interests include complex dynamics, arithmetic geometry, and related areas. Tiozzo's work focuses on the interplay between dynamical systems and number theory, with an emphasis on understanding the behavior of algebraic dynamical systems. He is affiliated with the University of Toronto's mathematics department and can be contacted via email at tiozzo@math.utoronto.ca or through his profile page at https://www.mathematics.utoronto.ca/people/directories/all-faculty/giulio-tiozzo.
Scholar-generated biography
Giulio Tiozzo is a researcher at the University of Toronto specializing in dynamical systems, ergodic theory, complex dynamics, random walks, and geometric group theory. His work explores the interplay between randomness and structure in group actions, with a focus on hyperbolic groups, random walks on weakly hyperbolic groups, and the geometry of spaces such as CAT(0) spaces. Tiozzo's research also includes the study of entropy in dynamical systems, particularly in quadratic polynomials and continued fractions, as well as the analysis of harmonic measures and their singularities. His contributions span both theoretical and computational approaches to understanding complex dynamics and group-theoretic properties.