During this time met Solomon Lefschetz, a famous algebraic topologist who was spending prolonged periods of time in Mexico. Lefschetz recognized Adem's mathematical talent, and sent him as a doctoral student to Princeton University where he graduated in 1952. His dissertation, Iterations of the squaring operations in algebraic topology, was written under the supervision of Norman Steenrod and introduced what are now called the Adem relations.
During this period, Solomon Lefschetz, a renowned algebraic topologist who spent extended periods in Mexico, recognized Adem's mathematical talent and sent him to Princeton University for his doctoral studies where he graduated in 1952. His dissertation, "Iterations of the squaring operations in algebraic topology," was written under the guidance of Norman Steenrod and led to the development of what are now known as the Adem relations.