  It has been hypothesized that dark matter is comprised of ultra-light bosons
whose collective phenomena can be described as a scalar field undergoing
coherent oscillations. Examples include axion and fuzzy dark matter models. In
this ultra-light dark matter scenario, the harmonic variation in the field's
energy-momentum tensor sources an oscillating component of the gravitational
potential that we show can resonantly-excite stellar oscillations. A
mathematical framework for predicting the amplitude of these oscillations is
developed, which reveals that ultra-light dark matter predominantly excites
p-modes of degree $l=1$. An investigation of resonantly-excited solar
oscillations is presented, from which we conclude that dark matter-induced
oscillations of the Sun are likely undetectable. We discuss prospects for
constraining ultra-light dark matter using other stellar objects.
