Hi Arpit..

I am providing you the list of top college:

1.Indian Institute of Science, Bengaluru
2.Tata Institute of fundamental research,Mumbai
3.IITs (Bombay. Delhi, kharagpur, kanpur, roorkee, madras, guwahati)
4.Harish Chandra Research Institute,Allahabad
5.JL Nehru centre of advanced scientific research, Bengaluru
6.Centre of Astronomy and Astrophysics, University of Pune

Hope this will help you.

Thanks:)