Integrated PhD Programme

The Integrated PhD program is a six-year program designed for students who are admitted after completing their Bachelor’s degree in Mathematics, Engineering, or related fields. Students who already possess a Master’s degree or who will obtain a Master’s degree at the time of admission are not eligible for this program. These students may want to consider the PhD programs that we offer. The program will consist of rigorous coursework in the first two years, followed by research supervised by a faculty member at CAM. You can learn more about our research by visiting https://www.math.tifrbng.res.in/research and exploring individual faculty pages athttps://www.math.tifrbng.res.in/people/faculty

The information provided in this page pertains to the Integrated PhD program starting in 2024 and beyond.

The Integrated PhD programme comprises of three stage

Years 1 and 2: The student undergoes rigorous training in Master’s level mathematics with a strong emphasis on Analysis, Probability, and theoretical and numerical study of PDEs. A total of 16 courses, each worth five credits, are offered in the first two years of the program. The detailed syllabus can be found here

Year 3: The student completes a year-long Pre-PhD Research in Mathematics course, which is worth 20 credits. This is typically conducted under the guidance of a faculty member, who is expected to be the student's PhD advisor. By the end of the third year, the student is required to write a research report, also worth 20 credits. Additionally, the student must take the following courses:

• Research Methodology (4 credits)
• Research and Publication Ethics (2 credits)

By the end of the third year, the student must pass the Candidacy Examination to register for a PhD

Candidacy Examination and Registration for PhD

The eligibility requirements to appear for a candidacy exam are:

• Having a potential PhD advisor
• Completion of 126 credits, including Research Methodology and Publication Ethics
• Having a CGPA of 5.5 or above.

The candidacy examination consists of a research presentation followed by a question/answer session before the Candidacy Examination Committee. The research presentation typically consists of background research material as well as potential research problems the student plans to pursue as part of their PhD work.

After passing the Candidacy Examination, the student can register for a PhD by applying to the Subject Board within 6 months. The application should contain the name of the proposed thesis adviser and a broad description of the topic of research intended to be pursued, and endorsed by the proposed thesis adviser. At the time of registration of PhD, a Thesis Monitoring Committee will be constituted.

The student is responsible for choosing a research topic and finding an advisor who matches their aptitude and interests. There is no formal procedure for drawing up research programs and assignments to advisers. The student is expected to develop a serious interest in a broad area of specialization by the end of their second year, and they are welcome to consult any faculty member at the Centre for suggestions. Any regular academic member of the School of Mathematics is eligible to be a student’s thesis adviser.

For more information, please visit https://www.tifr.res.in/academics/academic_procedures.php

Years 4, 5, and 6:PhD work under the supervision of a faculty member.

Submission of PhD Synopsis and PhD Thesis

After the student completes their PhD research project(s), with the permission of the thesis adviser, the student forwards a synopsis of the thesis to the Subject Board, to obtain approval for submission of the synopsis to the TIFR Mumbai Graduate Studies Office. The same procedure will once again be followed to obtain approval for submission of their thesis. Once the Subject Board approves the submission of a synopsis/thesis, the rest of the process of submission and evaluation of the synopsis and thesis will be as per the guidelines prescribed by the Academic Council of TIFR.

For more information, please visit https://www.tifr.res.in/academics/academic_procedures.php

Fellowship

For more information, please visit https://www.tifr.res.in/academics/scholarship.php

Award of MSc Degree

A student is eligible to receive an MSc degree upon completing their PhD. However, if a student has not completed their PhD but has earned 120 credits (excluding the Research Methodology and Research and Publication Ethics courses), they may apply to the mathematics subject board for the award of an MSc degree.

For more information, please visit https://www.tifr.res.in/academics/academic_procedures.php?t=cat5