For prospective summer or winter intern students, READ HERE before NOT WRITING to me. I am unlikely to accept non-ISI students for Master's or UG projects.
Prospective students can see this webpage for information on courses at ISI, Bangalore and this video for more about ISI, Bangalore. Also see links, videos and slides on this page : ISI Mathematics Day 2019. A resource page on preparation for university-level mathematics.
About ISI Interviews. Highly recommended Tips for Freshers joining ISI.
For some Ph.D./ Post-doc fellowships, see here See the following presentation for Career opportunities in Mathematics.
Prospective (and also current faculty) of ISI can see the following useful webpage and in general, look at this must-see webpage for a wealth of information before applying for faculty positions in India.