IMPORTANT LINKS

If you intend to pursue advanced studies in mathematics in India, you should definitely explore these institutes. 

• CMI, Chennai (B.Math, M.Math, Ph.D.)

• IMSc, Chennai (Ph.D.)

• ISI, Bangalore (B.Math, M.Math, Ph.D.)

• ISI, Kolkata (M.Math, Ph.D.)

• TIFR, Mumbai (Int. Ph.D., Ph.D.)

• TIFR, Bangalore (Int. Ph.D., Ph.D.)

• IISc, Bangalore (B.Sc. (Research), Int. Ph.D., Ph.D.)

• UoH, Hyderabad (M.Sc., Ph.D.)

• IITB, IITK, IITM, IITR (M.Sc., Ph.D.)

• IISER, Pune (BS-MS, Int. Ph.D., Ph.D.)

• IISER, Mohali (BS-MS, Ph.D.)

• IISER, Thiruvananthapuram (BS-MS, Int. Ph.D., Ph.D.)

• NISER, Bhubaneswar (Int. M.Sc., Int. Ph.D., Ph.D.)

• HRI, Allahabad (Int. Ph.D., Ph.D.)

Online courses:

• Swayam - Free Online Courses

• NPTEL Online Courses in Mathematics

• Coursera Online Courses

Want to ask/answer Math problems? (A personal opinion: Don't use Quora or Yahoo Answers for this purpose!)

• Mathematics Stack Exchange

• Mathematics Over Flow

Some interesting websites.

• http://terrytao.wordpress.com/

• http://mathwithbaddrawings.com/

• http://betterexplained.com/

• http://mathforum.org/dr.math/

• https://mathigon.org/activities/

NBHM previous years' question papers and answer keys:

• http://www.imsc.res.in/nbhm_model_questions

• http://math.iisc.ernet.in/nbhm_paper13/