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As our nearest large neighbor, the Andromeda Galaxy provides a uniquelaboratory for investigating galaxy formation and the distribution andsubstructure properties of dark matter in a Milky Way-like galaxy. Here, wepropose an initial 2-epoch ($\Delta t\approx 5$yr), 2-band Roman survey of theentire halo of Andromeda, covering 500 square degrees, which will detect nearlyevery red giant star in the halo (10$\sigma$ detection in F146, F062 of 26.5,26.1AB mag respectively) and yield proper motions to $\sim$25 microarcsec/year(i.e., $\sim$90 km/s) for all stars brighter than F146 $\approx 23.6$ AB mag(i.e., reaching the red clump stars in the Andromeda halo). This survey willyield (through averaging) high-fidelity proper motions for all satellites andcompact substructures in the Andromeda halo and will enable statisticalsearches for clusters in chemo-dynamical space. Adding a third epoch during theextended mission will improve these proper motions by $\sim t^{-1.5}$, to$\approx 11$ km/s, but this requires obtaining the first epoch in Year 1 ofRoman operations. In combination with ongoing and imminent spectroscopiccampaigns with ground-based telescopes, this Roman survey has the potential toyield full 3-d space motions of $>$100,000 stars in the Andromeda halo,including (by combining individual measurements) robust space motions of itsentire globular cluster and most of its dwarf galaxy satellite populations. Itwill also identify high-velocity stars in Andromeda, providing uniqueinformation on the processes that create this population. These data offer aunique opportunity to study the immigration history, halo formation, andunderlying dark matter scaffolding of a galaxy other than our own.

RomAndromeda: The Roman Survey of the Andromeda Halo