"is full professor" is a correct and usable phrase in written English.
Example sentence: Dr. Johnson is a full professor in the philosophy department at the university.
Andreas Knabe is Full Professor and Chair of Public Economics at Otto-von-Guericke-Universät Magdeburg.
MIROSŁAW J. LESZKA is full professor in the Department of Byzantine History, Faculty of Philosophy and History, University of Łódź.
Krystyna Kujawińska Courtney is full professor and chair of the British and Commonwealth Studies Department, University of Łódź.
He is Full Professor of Criminal Law and of Comparative Criminal Law at the University of Florence.
Mirosław J. Leszka is full professor at the Department of Byzantine History, Faculty of Philosophy and History, University of Lodz.
JFZ is full professor, chair of bioinformatics.
Since 2010 Fiorenza Belussi is Full Professor.
Erik Gawel is Full Professor of Economics, esp.
Begoña Gros is full professor of Education at the University of Barcelona.
D.D.Ganji is full professor in mechanical engineering faculty at Babol Noshirvani University of Technology.
Marco Roccetti is full professor of Computer Science at the University of Bologna (Italy).
