I am a Professor at the University of British Columbia (on leave from T. Di Tella University). My pronouns are he/him.
My work generally spans the areas of fractal geometry, analysis, and ergodic theory, although I am also interested in connections between these fields and probability and combinatorics.
In particular, my recent work is concerned with:
Combinatorial problems in fractal geometry (projection theory, distance sets, Furstenberg set problem, etc).
Geometric properties of (random and deterministic) fractals of dynamical, arithmetic and combinatorial origin. In particular, geometrical aspects of dynamical rigidity and smoothness of self-similar measures.
Applications of fractal geometry in ergodic theory and analysis.