She was the Head of the School of Philosophy (2011–2013, 2017–2019) and a co-director of the Post Graduate Programme in Cognitive Science at University College Dublin, UCD (since 2000).

She was a Fulbright Scholar in 2013–14 and been a visiting fellow in Harvard, MIT, and Institut Jean Nicod, École normale supérieure, in Paris.

[19] Through her membership of the Royal Irish Academy, Baghramian has been an active participant of a British Academy/ALLEA[20] working group on Truth, Trust and Expertise.

The project Policy, Expertise and Trust in Action (PEriTiA)[25] ran from 2020 to 2023 and had partners from universities and academies in the UK, France, the Netherlands, Germany, Poland, Italy and Armenia.

Maria Baghramian was born in Tehran, Iran, in an Armenian family but moved to Ireland in 1979 where she has continued to live with her husband, the composer and ethnomusicologist Hormoz Farhat.