Ph.D

Yes, LM Thapar School of Management is a good college for PhD as the college as been accredited by NAAC with an A+ grade. The college offers 1 MBA, 2 PhD programmes, and 1 global exchange MSc in ICT (Computers and Information Systems Course). LM Thapar School of Management is mainly concerned with the Management stream. Further, the college was established under the flagship of Thapar Institute of Engineering and Technology (Deemed-to-be-University). The college has a panel of guest lecturers to inspire students in their respective careers and to give them tips and invaluable insights in every course. Most importantly, LMTSM courses are provided to students at reasonable fees, to enable students to acquire knowledge and skills in their preferred area of interest. 

There are a few colleges offering PhD in Mathematics in the city of Bengaluru, especially along Electronic City. Some well-known ones include:
Indian Institute of Science (IISc): It is one of the premier institutions for research. IISC offers PhD in Mathematics too and is pretty famous due to the high output level of its research.
Christ University: Christ University on Hosur Road offers a PhD in Mathematics, concentrating on methodology and applications of research mathematics.
Alliance University: Situated at Anekal, off Electronic City, Alliance University offers the School of Liberal Arts, which delivers a PhD in Mathematics
CMR Institute of Technology: Another private university that confers a PhD in Math and is also not far from Electronic City.

As a student doing PhD from Punjab University, you can take distance B.Ed from several open institutes in India. Various Indian universities offer B.Ed programmes in distance mode including, Indira Gandhi National Open University (IGNOU), Nalanda Open University, and Tamil Nadu Open University (TNOU), among others. To be qualified, you will mostly be required to have a graduation degree, which is something you already possess. Specific requirements are set forth by the university. The detailed admission process, eligibility criteria, and deadline to apply for B.Ed in distance mode should be checked on the official websites of these universities.

Attaining the B.S-M.S programme of IISER will turn out to be quite effective for carrying an astronomy-related career, primarily provided followed by doing a PhD in a similar programs. For doing a sound education consisting of theoretical principles at high intensity along with experimental research inputs on the platform is required if advancing into study with astrophysics-related domains. The students graduating from IISER tend to continue in Ph.D. programs, not only in India but also abroad. Strong research foundations and networking help them do this. So, most alumni find positions as research scientists, academics, or industry professionals associated with physics and astronomy-related sectors.

The choice of going to IITs and IIMs would depend on the type of goals and focus area your research is targeting to go for a Ph.D. in Economics:

1. IITs- Indian Institutes of Technology They mainly have technical and engineering-centric disciplines but also strong, high-quality Ph.D. programs in Economics, especially under the Humanities and Social Sciences departments. IITs like IIT Bombay and IIT Delhi are interdisciplinary, bringing together economics in combination with quantitative techniques and computational ones. With an interest in applied economics, a focus of econometrics, or data analysis work, IITs provide all that with the research-intensive environment, with technology being an added impetus supported by innovation Institutes of Management): IIMs like IIM Ahmedabad, IIM Bangalore, and IIM Calcutta will have specialised Ph.D.s in Economics, which include departments for economics and business policy.