Research Tasks are the core of your progress in Pokémon Legends: Arceus. Each Pokémon has a set of tasks, such as catching multiple, defeating them in battle, seeing them use specific moves, or observing them in certain behaviors. Completing these tasks increases a Pokémon's Research Level, which contributes to your overall Star Rank.
Achieving higher Star Ranks unlocks new areas, crafting recipes, and allows you to control higher-level Pokémon. Prioritize completing tasks for new Pokémon you encounter to quickly boost your rank. Check your Arc Phone frequently for task updates.