This is my personal list of math problems. Of course, I am also interested in big conjectures besides these.

1) Compute the Rouquier dimension of the Kuznetsov component of every cubic threefold.

2) Prove that there are no stability conditions on Kuznetsov components of generic Enriques surfaces.

3) Prove Kodaira vanishing theorem on compactified Jacobians of projective integral planar curves.