[3] In 2003, Edmondson was elected as a Corresponding Member of Real Academia de la Historia (Royal Academy of History, Spain)[3] and in 2009, while serving as chair of the Department of History, he was elected a Fellow of the Royal Historical Society.
"[11] The same year he was elected, Edmondson received a diploma due to his role as a corresponding member of the Deutsches Archäologisches Institut.
[13] After ten years’ service on the international committee of the Association Internationale d’Épigraphique grecque et latine (AIEGL) from 2008 to 2017, in 2020 he was elected vice-president of the American Society of Greek and Latin Epigraphy (ASGLE) for a two-year term, to become president in 2022 and 2023.
[3] He also published his book "Nueva Epigrafía Funeraria de Augusta Emerita (NEFAE): Tituli sepulcrales urbanos (ss.
[14] Edmondson has published a series of books on Roman Spain including Two Industries in Roman Lusitania: Mining and Garum Production (1987); Imagen y Memoria: Monumentos funerarios con retratos en la Colonia Augusta Emerita (2001); Granite Funerary Stelae from Augusta Emerita (2006) and Nueva Epigrafía Funeraria de Augusta Emerita (NEFAE): Tituli sepulcrales urbanos (ss.