Longitudinal orbital angular momentum (OAM) is a fundamental
property
of light that has been the subject of extensive research and applied
to diverse important applications, such as optical tweezers, super-resolution
imaging, and optical information processing. Recently, photons have
been observed to possess transverse OAM, where the OAM vector is orthogonal
to the direction of light propagation. As the carrier for this unique
OAM, the spatiotemporal (ST) optical vortex has attracted considerable
interest. Here, we provide a general overview of recent experimental
and theoretical advances on such vortices, presenting their synthesis
and measurement strategies, highlighting their nontrivial properties
in linear propagation and interaction with nonlinear matter, and discussing
the possible future trends and challenges.