Institutes in India offering astronomy are as follows:

• Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram
• The Indian Institute of Astrophysics (IIAP), Bangalore
• Tata Institute of Fundamental Research, Mumbai
• Osmania University, Hyderabad
• Indian Institute of Science, Bangalore

institutes in abroad offering astronomy are as follows:

• Massachusetts Institute of Technology (MIT)
• Harvard University
• University of Cambridge
• Stanford University
• University of California – Berkeley
• University of Oxford
• California Institute of Technology
• Princeton University
• Imperial College London
• Columbia University

Institutes in Germany offering astronomy are as follows:

1.Ludwig Maximilians University Munich ( LMU )

2. The Technical University of Munich

3.  university of Bonn

good luck!