Ph.D

Hello Uzma Nishat Khan, yes definitely. Once you complete your post graduation in any subject in any fashion or means you are eligible to pursue your Ph.D. Of course you will have to follow the guidelines prescribed by UGC for different universities to admit students for different research subjects. These days some universities conduct entrance exam for students who want to pursue their Ph.D. while some interview of the prospective students and some to not to other thing if the student has got requisite qualifications. Best wishes to you.

Hello Pasupathi, It's Indeed very nice to know that you are interested in pursuing your research in mathematics from one of the IIT is in India. To help you I am attaching a link that will give you all the required formation about admission to doctoral programs in IIT Mumbai. Different it is will have such different brochures. I will advise you to go through this brochure first and read it fully to comprehend what Mumbai IIT is saying since it will be similar for other it is as well. http://www.iitb.ac.in/newacadhome/phd.jsp
Best wishes to you.