We construct $ \mathcal{N} $ = (2, 2) supersymmetric AdS$_{3}$ solutions of type IIB supergravity, dual to twisted compactifications of 4d $ \mathcal{N} $ = 4 super-Yang-Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS$_{5}$× S$^{5}$. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.