The paper “Hausdorff dimension of the Apollonian gasket“, co-authored by Polina Vytnova and Caroline Wormell (University of Sydney) has been published in Inventiones Mathematicae (open access link here). In the paper, they develop an efficient method for solving the open problem of Hausdorff dimension, which allows them to compute the dimension of the gasket to 128 decimal places. Moreover, they rigorously justify the error bounds. The majority of the work was done during Caroline’s visit to Europe in July 2023 (see blogpost here). The screenshot below shows Figure 1 from the paper.