Following an unsuccessful application for the Chair of Mathematics at Aberystwyth in 1872, he taught at the Training College in Carmarthen. He finally secured the professorship at Aberystwyth in 1879, and held it until 1919. Along the way his title became Professor of Mathematics and Astronomy. Genese introduced into the United Kingdom the ideas of Hermann Grassmann (advancing the use of vector analysis). In his 1941 book The calculus of extensions, Henry Forder published numerous examples in vector analysis taken from Genese's posthumous notes.
Genese
Hermann Grassmann