Bajpai is an Indian professor and the incumbent Vice-Chancellor of National Law University Delhi.

He was subsequently appointed as the Vice-Chancellor of Rajiv Gandhi National University of Law and served in the position till February 2023.

[2] Bajpai, a politician serves as Professor of Criminology & Criminal Justice; Chair Professor at K.L Arora Chair in Criminal Law at National Law University, Delhi and also as the Chairperson at the Centre for Criminology & Victimology.

Before this, he was serving (2007–2011) as Professor & Chairperson at the Centre for Criminal Justice Administration, National Law Institute University, Bhopal (MP).

He did his post-doctorate study (2004) as Commonwealth Fellow at the Department of Criminology, Leicester University, U.K.[3]