In India, as far as Doctorate Education is concerned, after IISc Bangalore followed by Top 8 IITs some of the Other Excellent Universities for PhD in CSE are

1. IIITs, Good NITs like Trichy, Warangal, Calicut, Allahabad, Nagpur.

2. Jawaharlal Nehru University

3. University of Hyderabad

4. IIIT Hyderabad, IIIT Delhi, Excellent State Engineering Colleges like BIT Mesra, PEC, DTU, Jadavpur University, Anna University, Mumbai University and many others.

5. BITS Pilani

For more information regarding PhD in CSE do follow the link below

https://engineering.careers360.com/colleges/list-of-phd-in-computer-science-engineering-colleges-in-india

https://university.careers360.com/colleges/list-of-phd-in-computer-science-universities-in-india