The paper “Interior estimates for Monge-Ampère equation in terms of modulus of continuity” co-authored by Bin Cheng and Thomas O’Neill has been published in the Journal of Functional Analysis. The paper forms part of the PhD thesis of Thomas. The published version is available for download here and the final form arXiv version is available for download here. The abstract form of the Monge-Ampère equation is shown in the figure below.