get
https://app.asana.com/api/1.0/memberships
Returns compact goal_membership, project_membership, portfolio_membership, or custom_field_membership records. The possible types for parent in this request are goal, project, portfolio, or custom_field. An additional member (user GID or team GID) can be passed in to filter to a specific membership.
Alternatively, when parent is absent, you can use the member and resource_subtype parameters together to fetch all memberships of a specific type for a given member. For example, passing member as a team GID and resource_subtype as project_membership will return all project memberships for that team.