Nuclear corrections to the g-factor of a bound electron

The g-factor of a bound electron has recently gained a lot of experimental as well as theoretical interest. Comparison between theoretical and experimental results for 12C5+ and 16O7+ led to the determination of the most accurate value of the electron mass. Upcoming experiments with the somewhat heavier ions Si13+ and Ca19+ and beyond are expected to achieve an even greater accuracy, which in turn will call for accordingly more accurate theoretical predictions. We present theoretical results for medium-Z hydrogen-like ions with an emphasis on effects arising due to the nuclear structure.