He is currently Full Professor in the Department of Hebrew Language and Semitic Linguistics at Tel Aviv University.

In 1992, he received his Master of Arts degree in Aramaic Bible Translation from the Department of Hebrew and Jewish Studies at University College London.

Today, he is employed as a full professor in the Department of Hebrew Culture at Tel Aviv University.

He is involved in the study of Mandaean manuscripts,[6] as well as the photography, digitization, transcription, and translation of incantation bowls and amulets.

[10] In 2013, Matthew Morgenstern co-founded the Society for Mandaean Studies, of which he is an elected board member.