He is a graduate of the College of William and Mary, the University of Mississippi, and Louisiana State University, where he completed a dissertation on the Mexican War, 1846-1848. Since joining the CGSC faculty in 2008, Hospodor has served as, among other things, author of the Clausewitz and Jomini lessons in the College's military history curriculum, assistant director of the department's staff ride program, and a student advisor. The Department of Military History named him its Teacher of the Year for 2011.