Hi Yash, Research field in also a vast field...you have to pinpoint in which field you have interest....Some of the leading colleges name are - Indian Institute of Science, Bangalore Indian Institute of Technology, Kharagpur, University of Delhi, Delhi, Indian Institute of Technology, Bombay, Indian Institute of Technology, Delhi, Tata Institute of Fundamental Research, Mumbai ......for more list u can visit https://university.careers360.com/articles/top-universities-in-india-2015-research-ranking ....... hopefully it will help...if u need any other help let us know....