Baghramian is the founder and the president of the Society for Women in Philosophy (SWIP) – Ireland (2010) and of Aporo: Irish Network of Philosophical Research.
2010. aastal sai Baghramianist Iirimaa naiste filosoofiaseltsi Society for Women in Philosophy (SWIP) – Ireland asutaja ja president, samuti rajas ta Iiri filosoofiauuringute võrgustiku Aporo (Irish Network of Philosophical Research).