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Holmes takes a case from a man who claims to be Moriarty in hopes of finding his nemesis. Meanwhile, Gregson tries to get Joan to give up detective work and return to being a sober companion; and Sherlock's former lover, Irene Adler, appears.
A highly respected mathematician is murdered. Holmes investigates and tries to discover the purpose behind a guarded equation the victim was attempting to decipher. Meanwhile, Watson is conflicted when the son of a former patient asks her for a loan.
A math genius, who is part of Sherlock's network of "irregulars" experts, stumbles upon a body while participating in a math puzzle competition. Meanwhile, Watson reaches out to Kitty, after she learns about Kitty's past.
Holmes investigates when a groundbreaking artificial intelligence software program is stolen, but he enlists Joan's help after he becomes more interested in disproving the computer's abilities than in tracking down the thief. Meanwhile, Joan confronts Sher (more…)
Holmes and Watson search for a murderer who used poisonous mushrooms to kill a botany professor and a group of the instructor's students. Meanwhile, Joan learns that her neighbor is renting his home through a vacation site that caters to hard partiers.
Sherlock's brother, Mycroft, arrives in New York and asks Holmes and Watson to help him solve a case involving his former fiancée. Sherlock agrees to help but finds it difficult to accept Mycroft's close relationship with Joan.