Person of Interest S04E01, The team members have adopted cover lives: Finch is a visiting college professor, Reese is an NYPD narcotics detective, and Shaw works at the cosmetics counter of a department store.
Person of Interest S04E02, Reese and Finch work to save the life of Claire Mahoney, a young, very intelligent mathematician who is heavily involved in solving a nautilus-themed cryptographic puzzle, a recruitment tool used to find gifted minds
POI S04E03, Fusco goes under cover and works with Cooper. It develops that Cooper had worked with members of a mob and is going to testify in a murder trial.
POI S04E04, The team’s latest numbers belong to siblings Malcolm and Tracie Booker, who stole the drug money from the scene to bail their imprisoned mother out of jail.
Root reveals to Finch that since Samaritan’s activation, The Machine ceased talking, leaving her without guidance and afraid. Following this revelation, Finch and Root debate the true nature of The Machine
Shaw and Reese look into Walter’s life. As their investigation proceeds, it is revealed that Walter, posing as a detective, is trying to find out who killed Abel.
Shaw, having just walked out of her old job as a wheelman, has her interest piqued by Tomas. Fusco and Reese get one of his members arrested on a drug charge, enabling her to join his gang.