  We prove Bloch's formula for the Chow group of 0-cycles with modulus on a
smooth quasi-projective surface over a field. We use this formula to give a
simple proof of the rank one case of a conjecture of Deligne and Drinfeld on
lisse $\overline{\mathbb{Q}}_{\ell}$-sheaves. This was originally solved by
Kerz and Saito in characteristic $\neq 2$.
