Professor in Phonology and Morphology, University of Cambridge, 2021-
Reader in Phonology and Morphology, University of Cambridge, 2010-2021
University Lecturer in Phonology and Morphology, University of Cambridge, 2006-2010
Professor of Foreign Languages and Linguistics, University of Wisconsin-Milwaukee, 2003-2006
Asst. and Assoc. Professor of Linguistics, Harvard University, 1994-2003
PhD, Harvard University, 1994
Vaux's Law (as labelled by Avery & Idsardi 2001, Iverson & Salmons 2003), which he first formulated in a 1998 article in Linguistic Inquiry, states that laryngeally unspecified - i.e. voiceless - fricatives become [GW]/[sg] ([Glottal Width]/[spread glottis]) in systems contrasting fricatives without reference to [GW]/[sg]; thus they are to be aspirated or, more technically, to be pronounced with a spread glottis.
"Affricates and the phonetic implementation of laryngeal contrast in Italian", Martin Kraemer, University of Ulster, February 2004
"An exception to final devoicing" by Marc van Oostendorp, Meertens Instituut/KNAW 
Vaux is frequently consulted by the press for linguistic articles. For example, in 2004 he discussed product names that contain place names, such as Coney Island hot dogs. In 2005 he was interviewed in USA Today regarding the differences in regions of the United States about whether to call carbonated soft drinks "soda", or "pop", or "coke". In 2002–2003 his survey to create a linguistics map for the United States was mentioned in the press. In 2005 the San Francisco Chronicle mentioned his research about how musician vocabulary affects vocabulary at large.