- M. Sc. :1982, Ranchi University,Bihar
- Ph.D.: 1989,IISc. Bangalore
- Postdoctoral : 1995-97,IOPB .
- Research interest :Theo. condensed matterphysics
- Research held :Faculty, Dept. of Physics, GuruGhasidasUniversity, Bilaspur, M.P.
- Present occupation: Faculty,NEHU Schillong.
- Email : mangal@nehu.ac.in



