  These lecture notes on the particle physics and astrophysics of dark matter
(DM) were delivered at TASI 2022 ``Ten Years After the Higgs Discovery:
Particle Physics Now and Future." The focus of these lecture notes, aimed at
the level of advanced graduate students and beginning postdocs, is on indirect
(i.e., astrophysical and cosmological) probes of particle DM models. While DM
models and indirect detection are broadly discussed, the examples of weakly
interacting massive particles (WIMPs) and axions are worked out in detail. The
topics covered include: the role of DM in the cosmology and astrophysics of
structure formation, including DM density profiles in galaxies, general
constraints on particle DM models, the theory of minimal DM, with the higgsino
as a relevant and illustrative example, indirect detection with gamma-rays,
including with the upcoming Cherenkov Telescope Array, axions as a solution to
the strong-CP problem and a DM candidate, including discussions of possible
ultraviolet completions and of axion string cosmology, and astrophysical probes
of axions such as with isocurvature perturbations, $N_{\rm eff}$, black hole
superradiance, radio telescopes, spectral modulations, stellar polarization,
and stellar cooling, amongst other topics. Example Jupyter notebooks are
provided that walk the reader through relevant analyses, including an example
statistical analysis of a DM annihilation search towards the Segue I dwarf
galaxy with gamma-ray data from the Fermi Large Area Telescope that is relevant
for DM explanations of the Fermi Galactic Center Excess. We also provide an
introduction to frequentist statistics for particle and astro-particle physics.
These lecture notes are meant to be pedagogical, with the focus on explaining
the underlying physical principles and analysis techniques that are set to play
crucial roles in the search for particle DM in the coming decade.
