Hello candidate

Cognitive Science is Multidisciplinary field. CBCS Allahabad does excellent research in Cognitive and behavioural areas. NBRC is again an established institution doing excellent work in Neuroscience. IISc has a center for neuroscience.IIIT (http://www.cns.iisc.ac.in/home/) Hyderabad, are other places to look for. The latest entrant,IIT Gandhinagar, has good teaching and research programme. Other IITs (Ropar, Jodhpur, Mandi, Indore) have one or two faculty members active in cognitive science. NBRC is better but NIMHANS is good for medicos.

Hope that helps you. Feel free to ask your queries here.