In 1980 he defended his Ph.D. thesis in that University under the supervision of Professor Manuel Valdivia Ureña.

Since 1987, Bonet is full professor in the Applied Mathematics Department at the Polytechnic University of Valencia.

He had an Alexander Von Humboldt fellowship in Düsseldorf (1994), Paderborn (1995, 2008) and Eichstätt (2008, 2013, 2017); Germany.

He has been the Director of the institute of mathematics Instituto Universitario de Matemática Pura y Aplicada IUMPA [1] at the Polytechnic University of Valencia from 2004 until November 2016.

José Bonet has been Principal Investigator of several research projects of the Spanish Ministry of Education since 1988, integrated actions between Spain and Germany and between Spain and Italy, and of the project of excellence in research PROMETEO of the Generalitat Valenciana (2008–2012, 2013–2016, and 2017–2021).