The answer depends on the following.The area of research you are interested in. Not all colleges support research in both Pure an Applied Mathematics. Most Universities usually encourage research in both areas. Your choice is influenced by the city you are in and your preference to travel and stay away from home.The availability of a Research Supervisor willing to oversee your research work. Visiting the departmentu2019s website will give you on whou2019s taking in students under his/her research group.The financial support you hope to receive from your family. If you need to support yourself, youu2019d wish to enter get recruited as a Junior research fellow. Such Research Assistants get a monthly stipend which may be good enough to support you through your research period. This demands that you qualify as a JRF in the bi-annual Eligibility test conducted by CSIR.Good Luck!!!