He started teaching at Rice during his career and, during his time with the Browns, he became an assistant professor at the Case Institute of Technology in February 1967. Ryan had a full teaching load, which includes undergraduate and graduate courses, and conducting research in complex analysis. While at training camp, Ryan taught math in the morning and went to football practice in the afternoon. Ryan taught his last course at Case Western Reserve in the spring of 1971. He was promoted to associate professor that summer. After taking a leave of absence for the next three years, he resigned his faculty position in 1974.