From 1937 to 1945 he attended City of London School, and then Emmanuel College, Cambridge from 1945 to 1948, graduating in 1948 in mathematics and physics.

In 1964 he took up the position as senior professor of the school of cosmic physics, Dublin Institute for Advanced Studies (DIAS) and became the resident director of Dunsink Observatory.

Wayman later negotiated the participation of Ireland in the International Observatory built on La Palma, Canary Islands.

He was interested in advanced imaging cameras and instrumentation, and the theoretical study of the solar system and galactic dynamics.

From 1966 he was a member of the Royal Irish Academy, serving on the council from 1975 to 1978, chairman of committees for astronomy and for the history and philosophy of science and vice-president from 1978 to 1979.

[4] He continued his association with Dunsink, and at the time of his death had almost finished a biography of Thomas and Howard Grubb.