He had a strong bent towards mathematical studies, and in 1876 he, communicated to this Society an interesting paper "On Parallel Motions" a subject at that time fresh and fascinating. In illustration of this paper he exhibited several models neatly constructed by himself, by means of which accurately straight lines could be drawn. He was elected a Fellow in 1878.
In 1887 Mr Wilson settled in Edinburgh as a tutor in mathematics and natural philosophy, and soon acquired a sound reputation as a conscientious and efficient teacher of these subjects. His Notes on Physics and Natural Philosophy, an epitome of physical principles arranged alphabetically, admirably fulfilled the purpose intended, as many grateful graduates can testify.
In 1888 he became Treasurer of the Edinburgh Mathematical Society, an office which he filled with great acceptance till 1895, when he was elected Vice-President. In the succeeding year he was chosen President. He was also an active member of the Educational Institute of Scotland, his position as Secretary of the local branch entailing upon him a considerable amount of organising work. He was an ardent Free Churchman and took a keen interest in the Home Mission work of the Free High Church, in which he also served as interim session-clerk for two years.
His death on 8th December 1896, after a few days' illness, gave a great shock to his many friends, to whom he had endeared himself by his quiet, unobtrusive, but truly manly worth.