He received his BA degree from the Royal University of Ireland in 1896 with honours in Latin, English, Mathematics and Natural Philosophy.

In 1897, he received his MA degree with highest honours in mathematics and proceeded to Corpus Christi College, Oxford, becoming University Scholar there in 1898, and studying under Augustus Love.

Later, when de Valera became Taoiseach (he was also subsequently President of Ireland), he called upon Conway while forming the Dublin Institute for Advanced Studies.

[10] Arthur Conway continued his scholarship in the fields of mathematics and theoretical physics, and made a special study of William Rowan Hamilton.

[12] Conway was also active in college life, being appointed Registrar, a position he occupied until his election as president in 1940.

In October 1975, to mark the centenary of his birth, UCD hosted the AC Conway Memorial Mathematical Symposium.