[2] In addition to the title of professor, Taylor was also referred to as an emeritus of mathematics in Residence from 1958 until his death.
During World War II, he was a mathematical advisor at Fort Belvoir in Virginia and at the Department of Terrestrial Magnetism at the Carnegie Institute.
During the summer of 1919, he was a "boilermaker’s helper," at the Chicago, Burlington and Quincy Railroad Shops in Havelock, Nebraska.
[6] Taylor began his teaching career as an assistant in mathematics at the University of Nebraska at Lincoln in 1919, where he taught for a year until becoming an instructor from 1920 to 1922.
In 1950–1951 the department expanded a little, offering 34 classes ranging from college algebra to analytic geometry to plane trigonometry.
He was a Phi Beta Kappa at the University of Nebraska, a Sigma Xi, and a member of the Masons and the Cosmos Club.
[12] He was the author of a book on vector analysis, involving magnitude and direction, and wrote several articles on various mathematical topics.
Taylor wrote another article entitled, "Parallelism and Transversality in a Sub-Space of a General (Finsler) Space."