Heavy flavour production at HERA

Recent results are presented on the production of charm and bottom quarks in electron-proton collisions at the HERA collider. The larger part of this report covers the analysis of the full HERA-I data set. The results are compared to calculations in perturbative quantum chromo dynamics at next-to-leading order and Monte Carlo predictions at leading order. Prospects for additional measurements after the collider and detector upgrades are discussed.