Mulder's research interests include Australian English and Tsimshian, a North American Indian language.
Mulder is currently an Honorary Senior Fellow in the Department of Linguistics at the University of Melbourne, having been a Professor there until 2017.
[3] She is a publicly regarded expert on Australian English,[4] working specifically on features of morphology and syntax.
[5] Mulder has also been extensively involved in developing and promoting the Victorian Certificate of Education subject English Language.
[6] As part of this she is also a strong public advocate of teaching linguistics and grammar in schools.