  The era of multimessenger astrophysics has arrived with the simultaneous
operation of large cosmic-ray, gamma-ray, neutrino, and gravitational-wave
observatories. In just the past two years, an electromagnetic (EM) counterpart
was detected for a gravitational wave event, and evidence for an EM counterpart
of high energy neutrinos has been identified. These measurements have had a
major impact on our view of the non-thermal universe, but understanding cosmic
accelerators require a substantial increase in the number of multimessenger
observations. The Astrophysical Multimessenger Observatory Network (AMON) is
designed for high-statistics searches of sub-threshold transient alerts from
gamma-ray and neutrino detectors. Within AMON, we have implemented a
joint-likelihood analysis of TeV gamma-ray measurements from the High Altitude
Water Cherenkov (HAWC) Observatory and neutrinos from the IceCube Neutrino
Observatory. AMON is ready to produce real-time coincidence alerts using HAWC
"hotspots" and IceCube astrophysical neutrino events. These alerts will be
distributed to AMON follow-up partners with a median anticipated delay of six
hours, which corresponds to a full transit in the field of view of HAWC. The
alerts will have an angular resolution of ${\sim}0.2^{\circ}$, making them
well-suited for deep electromagnetic follow-up observations.
