A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in ${\mathbb{R}}^3$

Malabika Pramanik, Tongou Yang, Joshua Zahl

We resolve a conjecture of Fässler and Orponen on the dimension of exceptional projections to one-dimensional subspaces indexed by a space curve in ${\mathbb{R}}^3$. We do this by ob…