As a graduate student Peter Graham served on the Executive Committee of the School of Social and Behavioral Sciences at the University of Arizona. At Stanford University he was the Teaching Assistant Mentor in the Department of Philosophy. At the University of California, Riverside served as Director of Undergraduate Studies before is appointment in 2011 as the Associate Dean for Student Academic Affairs in the College of Humanities, Arts and Social Sciences. For the College he led undergraduate recruiting and admissions; academic orientation; academic advising; curriculum planning; teaching and learning; first and second-year programs; transfer programs; honors and awards; and College budgeting for instruction. Major initiatives included enrollment planning, growth mindset advising and peer mentoring, a major expansion of learning communities for all incoming first-year students, and organizational changes to academic advising and enrollment management.
After five years of service to the College as Associate Dean for Student Academic Affairs, in 2016 he transitioned to a faculty leadership role as Associate Dean for Arts & Humanities. The Arts & Humanities at UC Riverside include 14 academic departments, a large number of interdepartmental academic programs, a number of research centers, performing arts venues and a number of galleries, including the downtown Riverside ARTSblock, which includes the California Museum of Photography, the Culver Center for the Arts, and the Sweeny Art Gallery.