Martin's current research is a continuation of some of the work he did during his PhD. This primarily revolves around the measurement of stellar differential rotation using asteroseismology.
Asteroseismology is the study of how stars oscillate. These oscillations can be used to precisely measure many different aspects of the star in question, for example, its mass, radius, age, as well as its internal rotation rate.
It is well known that different parts of our own Sun rotate at different rates and that this most likely plays an important role in generating and sustaining the magnetic fields that we see on the Sun. However, little is known about differential rotation in other stars, specifically, in stars the have similar characteristics to our Sun, and how it relates to magnetic activity.