Cartwright was appointed, on the recommendation of both Hardy and Littlewood, to an assistant lectureship in mathematics in Cambridge in 1934, and she was appointed a part-time lecturer in mathematics the following year.
Cartwright ay hihirangin, ang rekomendasyon ng parehong Hardy at Littlewood, sa isang assistant paglelektyur sa matematika sa Cambridge sa 1934, at siya ay hihirangin ng isang part-time lektor sa matematika ang mga sumusunod na taon.