- He earned his PhD at the University of Cambridge, where he later became a professor of mathematics. He became a fellow of the Royal Society in 1981. In 1987, he became the John von Neumann professor of applied and computational mathematics at Princeton University.
- He was an eminent mathematician who made important contributions to number theory, game theory, coding theory, group theory, knot theory, topology, algebra, and combinatorics. He invented the Game of Life, a mathematical model of computation.
- Son of Agnes Boyce and Cyril Horton Conway.
- Youngest of his siblings, with two sisters, named Sylvia and Joan.
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